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To dive safely with nitrox, the diver must learn good buoyancy control, a vital part of scuba diving in its own right, and a disciplined approach to preparing, planning and executing a dive to ensure that the ppO2 is known, and the maximum operating depth is not exceeded. Many dive shops, dive operators, and gas blenders (individuals trained to blend gases) require the diver to present a nitrox certification card before selling nitrox to divers. Some training agencies, such as PADI and Technical Diving International, teach the use of two depth limits to protect against oxygen toxicity. The shallower depth is called the "maximum operating depth" and is reached when the partial pressure of oxygen in the breathing gas reaches . The deeper depth, called the "contingency depth", is reached when the partial pressure reaches . Diving at or beyond this level exposes the diver to a greater risk of central nervous system (CNS) oxygen toxicity. This can be extremely dangerous since its onset is often without warning and can lead to drowning, as the regulator may be spat out during convulsions, which occur in conjunction with sudden unconsciousness (general seizure induced by oxygen toxicity). Divers trained to use nitrox may memorise the acronym VENTID-C or sometimes ConVENTID, (which stands for Vision (blurriness), Ears (ringing sound), Nausea, Twitching, Irritability, Dizziness, and Convulsions). However, evidence from non-fatal oxygen convulsions indicates that most convulsions are not preceded by any warning symptoms at all. Further, many of the suggested warning signs are also symptoms of nitrogen narcosis, and so may lead to misdiagnosis by a diver. A solution to either is to ascend to a shallower depth. Carbon dioxide retention Use of nitrox may cause a reduced ventilatory response, and when breathing dense gas at the deeper limits of the usable range, this may result in carbon dioxide retention when exercise levels are high, with an increased risk of loss of consciousness.
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9955_4
Other effects There is anecdotal evidence that the use of nitrox reduces post-dive fatigue, particularly in older and or obese divers; however a double-blind study to test this found no statistically significant reduction in reported fatigue. There was, however, some suggestion that post-dive fatigue is due to sub-clinical decompression sickness (DCS) (i.e. micro bubbles in the blood insufficient to cause symptoms of DCS); the fact that the study mentioned was conducted in a dry chamber with an ideal decompression profile may have been sufficient to reduce sub-clinical DCS and prevent fatigue in both nitrox and air divers. In 2008, a study was published using wet divers at the same depth no statistically significant reduction in reported fatigue was seen. Further studies with a number of different dive profiles, and also different levels of exertion, would be necessary to fully investigate this issue. For example, there is much better scientific evidence that breathing high-oxygen gases increases exercise tolerance, during aerobic exertion. Though even moderate exertion while breathing from the regulator is a relatively uncommon occurrence in recreational scuba, as divers usually try to minimize it in order to conserve gas, episodes of exertion while regulator-breathing do occasionally occur in recreational diving. Examples are surface-swimming a distance to a boat or beach after surfacing, where residual "safety" cylinder gas is often used freely, since the remainder will be wasted anyway when the dive is completed, and unplanned contingencies due to currents or buoyancy problems. It is possible that these so-far un-studied situations have contributed to some of the positive reputation of nitrox. A 2010 study using critical flicker fusion frequency and perceived fatigue criteria found that diver alertness after a dive on nitrox was significantly better than after an air dive. Uses Underwater diving Enriched Air Nitrox, nitrox with an oxygen content above 21%, is mainly used in scuba diving to reduce the proportion of nitrogen in the breathing gas mixture. The main benefit is reduced decompression risk. To a considerably lesser extent it is also used in surface supplied diving, where the logistics are relatively complex, similar to the use of other diving gas mixtures like heliox and trimix. Therapeutic recompression
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9955_5
Therapeutic recompression Nitrox50 is used as one of the options in the first stages of therapeutic recompression using the Comex CX 30 table for treatment of vestibular or general decompression sickness. Nitrox is breathed at 30 msw and 24 msw and the ascents from these depths to the next stop. At 18 m the gas is switched to oxygen for the rest of the treatment. Medicine, mountaineering and unpressurised aircraft The use of oxygen at high altitudes or as oxygen therapy may be as supplementary oxygen, added to the inspired air, which would technically be a use of nitrox, blended on site, but this is not normally referred to as such, as the gas provided for the purpose is oxygen. Terminology Nitrox is known by many names: Enriched Air Nitrox, Oxygen Enriched Air, Nitrox, EANx or Safe Air. Since the word is a compound contraction or coined word and not an acronym, it should not be written in all upper case characters as "NITROX", but may be initially capitalized when referring to specific mixtures such as Nitrox32, which contains 68% nitrogen and 32% oxygen. When one figure is stated, it refers to the oxygen percentage, not the nitrogen percentage. The original convention, Nitrox68/32 became shortened as the first figure is redundant.
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9955_6
The term "nitrox" was originally used to refer to the breathing gas in a seafloor habitat where the oxygen has to be kept to a lower fraction than in air to avoid long term oxygen toxicity problems. It was later used by Dr Morgan Wells of NOAA for mixtures with an oxygen fraction higher than air, and has become a generic term for binary mixtures of nitrogen and oxygen with any oxygen fraction, and in the context of recreational and technical diving, now usually refers to a mixture of nitrogen and oxygen with more than 21% oxygen. "Enriched Air Nitrox" or "EAN", and "Oxygen Enriched Air" are used to emphasize richer than air mixtures. In "EANx", the "x" was originally the x of nitrox, but has come to indicate the percentage of oxygen in the mix and is replaced by a number when the percentage is known; for example, a 40% oxygen mix is called EAN40. The two most popular blends are EAN32 and EAN36, developed by NOAA for scientific diving, and also named Nitrox I and Nitrox II, respectively, or Nitrox68/32 and Nitrox64/36. These two mixtures were first utilized to the depth and oxygen limits for scientific diving designated by NOAA at the time. The term Oxygen Enriched Air (OEN) was accepted by the (American) scientific diving community, but although it is probably the most unambiguous and simply descriptive term yet proposed, it was resisted by the recreational diving community, sometimes in favour of less appropriate terminology. In its early days of introduction to non-technical divers, nitrox has occasionally also been known by detractors by less complimentary terms, such as "devil gas" or "voodoo gas" (a term now sometimes used with pride).
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9955_7
American Nitrox Divers International (ANDI) uses the term "SafeAir", which they define as any oxygen-enriched air mixture with O2 concentrations between 22% and 50% that meet their gas quality and handling specifications, and specifically claim that these mixtures are safer than normally produced breathing air for the end user not envolved to the mix producion which. Considering the complexities and hazards of mixing, handling, analyzing, and using oxygen-enriched air, this name is considered inappropriate by those who consider that it is not inherently "safe", but merely has decompression advantages. The constituent gas percentages are what the gas blender aims for, but the final actual mix may vary from the specification, and so a small flow of gas from the cylinder must be measured with an oxygen analyzer, before the cylinder is used underwater. MOD Maximum Operating Depth (MOD) is the maximum safe depth at which a given nitrox mixture can be used. MOD depends on the allowed partial pressure of oxygen, which is related to exposure time and the acceptable risk assumed for central nervous system oxygen toxicity. Acceptable maximum ppO2 varies depending on the application: 1.2 is often used in closed circuit rebreathers. 1.4 is recommended by several recreational training agencies for ordinary scuba diving. 1.5 is allowed for commercial diving in some jurisdictions. 1.6 is allowed for technical diving decompression stops, and is the recommended maximum according to NOAA Higher values are used by commercial and military divers in special circumstances, often when the diver uses surface supplied breathing apparatus, or for treatment in a chamber, where the airway is relatively secure. Equipment Choice of mixture The two most common recreational diving nitrox mixes contain 32% and 36% oxygen, which have maximum operating depths (MODs) of and respectively when limited to a maximum partial pressure of oxygen of . Divers may calculate an equivalent air depth to determine their decompression requirements or may use nitrox tables or a nitrox-capable dive computer.
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9955_8
Nitrox with more than 40% oxygen is uncommon within recreational diving. There are two main reasons for this: the first is that all pieces of diving equipment that come into contact with mixes containing higher proportions of oxygen, particularly at high pressure, need special cleaning and servicing to reduce the risk of fire. The second reason is that richer mixes extend the time the diver can stay underwater without needing decompression stops far further than the duration permitted by the capacity of typical diving cylinders. For example, based on the PADI nitrox recommendations, the maximum operating depth for EAN45 would be and the maximum dive time available at this depth even with EAN36 is nearly 1 hour 15 minutes: a diver with a breathing rate of 20 litres per minute using twin 10-litre, 230-bar (about double 85 cu. ft.) cylinders would have completely emptied the cylinders after 1 hour 14 minutes at this depth. Use of nitrox mixtures containing 50% to 80% oxygen is common in technical diving as decompression gas, which by virtue of its lower partial pressure of inert gases such as nitrogen and helium, allows for more efficient (faster) elimination of these gases from the tissues than leaner oxygen mixtures. In deep open circuit technical diving, where hypoxic gases are breathed during the bottom portion of the dive, a Nitrox mix with 50% or less oxygen called a "travel mix" is sometimes breathed during the beginning of the descent in order to avoid hypoxia. Normally, however, the most oxygen-lean of the diver's decompression gases would be used for this purpose, since descent time spent reaching a depth where bottom mix is no longer hypoxic is normally small, and the distance between this depth and the MOD of any nitrox decompression gas is likely to be very short, if it occurs at all. Best mix The composition of a nitrox mix can be optimized for a given planned dive profile. This is termed "Best mix", for the dive, and provides the maximum no-decompression time compatible with acceptable oxygen exposure. An acceptable maximum partial pressure of oxygen is selected based on depth and planned bottom time, and this value is used to calculate the oxygen content of the best mix for the dive: Production
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9955_9
There are several methods of production: Mixing by partial pressure: a measured pressure of oxygen is decanted into the cylinder and cylinder is "topped up" with air from the diving air compressor. This method is very versatile and requires relatively little additional equipment if a suitable compressor is available, but it is labour-intensive, and high partial pressures of oxygen are relatively hazardous. Pre-mix decanting: the gas supplier provides large cylinders with popular mixes such as 32% and 36%. These may be further diluted with air to provide a larger range of mixtures. Mixing by continuous blending: measured quantities of oxygen are introduced to air and mixed with it before it reaches the compressor inlet. Concentration of oxygen is commonly monitored as partial pressure using an oxygen cell. The compressor and particularly the compressor oil, must be suitable for this service. If the resulting oxygen fraction is less than 40%, the cylinder and valve may not be required to be cleaned for oxygen service. Relatively efficient and quick compared to partial pressure blending, but requires a suitable compressor, and the range of mixes may be limited by the compressor specification. Mixing by mass fraction: oxygen and air or nitrogen are added to a cylinder that is accurately weighed until the required mix is achieved. This method requires fairly large and highly accurate scales, otherwise it is similar to partial pressure blending, but insensitive to temperature variations.
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9955_10
Mixing by gas separation: a nitrogen permeable membrane is used to remove some of the nitrogen molecules from air until the required mix is achieved. The resulting low pressure nitrox is then pumped into cylinders by a compressor. A limited range of mixes is possible, but the equipment is quick and easy to operate and relatively safe, as there is never high partial pressure oxygen involved. A supply of clean low-pressure air at a constant temperature is required for consistent results. This may be supplied from a low pressure compressor or a regulated supply from high pressure storage or compressor. The air must be free of contaminants that could clog the membrane, and at a constant inlet temperature and pressure to produce a consistent delivered partial pressure of oxygen. The air must be of breathing quality, other contaminants must be filtered out independently. The input air pressure is regulated and pressure over the membrane controlled to adjust the product oxygen fraction. CGA Grade D or E air quality is suitable for supply gas, and is commonly heated to a constant inlet temperature. Heating also reduces the chance of high humidity causing wetting of the membrane. In a typical system supply air enters the thousands of hollow fibres of the membrane at one end, and oxygen preferentially permeates the fibre walls, leaving mostly nitrogen at the discharge end, which is vented from the system as waste. Pressure swing adsorption requires relatively complex equipment, otherwise the advantages are similar to membrane separation. PSA is a technology used to separate gases from a mixture under pressure according to the molecular characteristics and affinity for an adsorbent material of the gases at near-ambient temperatures. Specific adsorbent materials are used as a trap, preferentially adsorbing the target gases at high pressure. The process then swings to low pressure to desorb the adsorbed material and flush the adsorbent container so that it can be reused.
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9955_11
Cylinder markings to identify contents Any diving cylinder containing a blend of gasses other than standard air is required by most diver training organizations, and some national governments, to be clearly marked to indicate the current gas mixture. In practice it is common to use a printed adhesive label to indicate the type of gas (in this case nitrox), and to add a temporary label to specify the analysis of the current mix. Training standards for nitrox certification suggest the composition must be verified by the diver by using an oxygen analyzer before use. Regional standards and conventions European Union Within the EU, valves with M26x2 outlet thread are recommended for cylinders with increased oxygen content. Regulators for use with these cylinders require compatible connectors, and are not directly connectable with cylinders for compressed air. Germany A German standard specifies that any mixture with an oxygen content greater than atmospheric air must be treated as pure oxygen. A nitrox cylinder is specially cleaned and identified. The cylinder colour is overall white with the letter N on opposite sides of the cylinder. The fraction of oxygen in the bottle is checked after filling and marked on the cylinder. South Africa South African National Standard 10019:2008 specifies the colour of all scuba cylinders as Golden yellow with French gray shoulder. This applies to all underwater breathing gases except medical oxygen, which must be carried in cylinders that are Black with a White shoulder. Nitrox cylinders must be identified by a transparent, self-adhesive label with green lettering, fitted below the shoulder. In effect this is green lettering on a yellow cylinder, with a gray shoulder. The composition of the gas must also be specified on the label. In practice this is done by a small additional self-adhesive label marked with the measured oxygen fraction, which is changed when a new mix is filled. The 2021 revision of SANS 10019 changed the colour specification to Light navy grey for the shoulder, and a different label specification which includes hazard symbols for high pressure and oxidising materials. United States
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9955_12
United States Every nitrox cylinder should also have a sticker stating whether or not the cylinder is oxygen clean and suitable for partial pressure blending. Any oxygen-clean cylinder may have any mix up to 100% oxygen inside. If by some accident an oxygen-clean cylinder is filled at a station that does not supply gas to oxygen-clean standards it is then considered contaminated and must be re-cleaned before a gas containing more than 40% oxygen may again be added. Cylinders marked as 'not oxygen clean' may only be filled with oxygen-enriched air mixtures from membrane or stick blending systems where the gas is mixed before being added to the cylinder, and to an oxygen fraction not exceeding 40% by volume. Hazards Nitrox can be a hazard to the blender and to the user, for different reasons. Fire and toxic cylinder contamination from oxygen reactions Partial pressure blending using pure oxygen decanted into the cylinder before topping up with air may involve very high oxygen fractions and oxygen partial pressures during the decanting process, which constitute a relatively high fire hazard. This procedure requires care and precautions by the operator, and decanting equipment and cylinders which are clean for oxygen service, but the equipment is relatively simple and inexpensive. Partial pressure blending using pure oxygen is often used to provide nitrox on live-aboard dive boats, but it is also used in some dive shops and clubs. Any gas which contains a significantly larger percentage of oxygen than air is a fire hazard, and such gases can react with hydrocarbons or lubricants and sealing materials inside the filling system to produce toxic gases, even if a fire is not apparent. Some organisations exempt equipment from oxygen-clean standards if the oxygen fraction is limited to 40% or less.
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9955_13
Among recreational training agencies, only ANDI subscribes to the guideline of requiring oxygen cleaning for equipment used with more than 23% oxygen fraction. The USCG, NOAA, U.S. Navy, OSHA, and the other recreational training agencies accept the limit as 40% as no accident or incident has been known to occur when this guideline has been properly applied. Tens of thousands of recreational divers are trained each year and the overwhelming majority of these divers are taught the "over 40% rule". Most nitrox fill stations which supply pre-mixed nitrox will fill cylinders with mixtures below 40% without certification of cleanliness for oxygen service. Luxfer cylinders specify oxygen cleaning for all mixtures exceeding 23.5% oxygen. The following references for oxygen cleaning specifically cite the "over 40%" guideline that has been in widespread use since the 1960s, and consensus at the 1992 Enriched Air Workshop was to accept that guideline and continue the status quo. Code of Federal Regulations, Part 1910.430 (i) - Commercial Diving Operations OSHA Oxygen Specifications 1910.420 (1) NOAA Oxygen Specifications (appendix D) U.S. Navy Oxygen Specifications U.S. MIL-STD-777E (SH) Note K-6-4, Cat. K.6 U.S. Coast Guard Oxygen Specifications Title 46: Shipping, revisions through 10-1-92. 197.452 Oxygen Cleaning 46 CFR 197.451 Much of the confusion appears to be a result of misapplying PVHO (pressure vessel for human occupancy) guidelines which prescribe a maximum ambient oxygen content of 25% when a human is sealed into a pressure vessel (chamber). The concern here is for a fire hazard to a living person who could be trapped in an oxygen-rich burning environment. Of the three commonly applied methods of producing enriched air mixes - continuous blending, partial pressure blending, and membrane separation systems - only partial pressure blending would require the valve and cylinder components to be oxygen cleaned for mixtures with less than 40% oxygen. The other two methods ensure that the equipment is never subjected to greater than 40% oxygen content.
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9955_14
In a fire, the pressure in a gas cylinder rises in direct proportion to its absolute temperature. If the internal pressure exceeds the mechanical limitations of the cylinder and there are no means to safely vent the pressurized gas to the atmosphere, the vessel will fail mechanically. If the vessel contents are ignitable or a contaminant is present this event may result in a "fireball". Incorrect gas mix Use of a gas mix that differs from the planned mix introduces an increased risk of decompression sickness or an increased risk of oxygen toxicity, depending on the error. It may be possible to simply recalculate the dive plan or set the dive computer accordingly, but in some cases the planned dive may not be practicable. Many training agencies such as PADI, CMAS, SSI and NAUI train their divers to personally check the oxygen percentage content of each nitrox cylinder before every dive. If the oxygen percentage deviates by more than 1% from the planned mix, the diver must either recalculate the dive plan with the actual mix, or else abort the dive to avoid increased risk of oxygen toxicity or decompression sickness. Under IANTD and ANDI rules for use of nitrox, which are followed by dive resorts around the world, filled nitrox cylinders are signed out personally in a blended gas records book, which contains, for each cylinder and fill, the cylinder number, the measured oxygen fraction by percentage, the calculated maximum operating depth for that mix, and the signature of the receiving diver, who should have personally measured the oxygen fraction before taking delivery. All of these steps reduce risk but increase complexity of operations as each diver must use the specific cylinder they have checked out. In South Africa, the national standard for handling and filling portable cylinders with pressurised gases (SANS 10019) requires that the cylinder be labelled with a sticker identifying the contents as nitrox, and specifying the oxygen fraction. Similar requirements may apply in other countries. History In 1874, Henry Fleuss made what was possibly the first Nitrox dive using a rebreather.
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9955_15
In 1911 Draeger of Germany tested an injector operated rebreather backpack for a standard diving suit. This concept was produced and marketed as the DM20 oxygen rebreather system and the DM40 nitrox rebreather system, in which air from one cylinder and oxygen from a second cylinder were mixed during injection through a nozzle which circulated the breathing gas through the scrubber and the rest of the loop. The DM40 was rated for depths up to 40m. Christian J. Lambertsen proposed calculations for nitrogen addition to prevent oxygen toxicity in divers utilizing nitrogen-oxygen rebreather diving. In World War II or soon after, British commando frogmen and clearance divers started occasionally diving with oxygen rebreathers adapted for semi-closed-circuit nitrox (which they called "mixture") diving by fitting larger cylinders and carefully setting the gas flow rate using a flow meter. These developments were kept secret until independently duplicated by civilians in the 1960s. Lambertson published a paper on nitrox in 1947. In the 1950s the United States Navy (USN) documented enriched oxygen gas procedures for military use of what we today call nitrox, in the US Navy Diving Manual. In 1955, E. Lanphier described the use of nitrogen-oxygen diving mixtures, and the equivalent air depth method for calculating decompression from air tables. In the 1960s, A. Galerne used on-line blending for commercial diving. In 1970, Morgan Wells, who was the first director of the National Oceanographic and Atmospheric Administration (NOAA) Diving Center, began instituting diving procedures for oxygen-enriched air. He introduced the concept of Equivalent Air Depth (EAD). He also developed a process for mixing oxygen and air which he called a continuous blending system. For many years Wells' invention was the only practical alternative to partial pressure blending. In 1979 NOAA published Wells' procedures for the scientific use of nitrox in the NOAA Diving Manual. In 1985 Dick Rutkowski, a former NOAA diving safety officer, formed IAND (International Association of Nitrox Divers) and began teaching nitrox use for recreational diving. This was considered dangerous by some, and met with heavy skepticism by the diving community.
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9955_16
In 1989, the Harbor Branch Oceanographic institution workshop addressed blending, oxygen limits and decompression issues. In 1991, Bove, Bennett and Skindiver magazine took a stand against nitrox use for recreational diving. The annual DEMA show (held in Houston, Texas that year) banned nitrox training providers from the show. This caused a backlash, and when DEMA relented, a number of organizations took the opportunity to present nitrox workshops outside the show. In 1992, the Scuba Diving Resources Group organised a workshop where some guidelines were established, and some misconceptions addressed. In 1992 BSAC banned its members from using nitrox during BSAC activities. IAND's name was changed to the International Association of Nitrox and Technical Divers (IANTD), the T being added when the European Association of Technical Divers (EATD) merged with IAND. In the early 1990s, these agencies were teaching nitrox, but the main scuba agencies were not. Additional new organizations, including the American Nitrox Divers International (ANDI) - which invented the term "Safe Air" for marketing purposes - and Technical Diving International (TDI) were begun. NAUI became the first existing major recreational diver training agency to sanction nitrox. In 1993 the Sub-Aqua Association was the first UK recreational diving training agency to acknowledge and endorse the Nitrox training their members had undertaken with one of the tech agencies. The SAA's first recreational Nitrox qualification was issued in April 1993. The SAA's first Nitrox instructor was Vic Bonfante and he was certified in September 1993. Meanwhile, diving stores were finding a purely economic reason to offer nitrox: not only was an entire new course and certification needed to use it, but instead of cheap or free tank fills with compressed air, dive shops found they could charge premium amounts of money for custom-gas blending of nitrox to their ordinary, moderately experienced divers. With the new dive computers which could be programmed to allow for the longer bottom-times and shorter residual nitrogen times that nitrox gave, the incentive for the sport diver to use the gas increased.
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9955_17
In 1993 Skin Diver magazine, the leading recreational diving publication at the time, published a three-part series arguing that nitrox was unsafe for sport divers. DiveRite manufactured the first nitrox-compatible dive computer, called the Bridge, the aquaCorps TEK93 conference was held in San Francisco, and a practicable oil limit of 0.1 mg/m3 for oxygen compatible air was set. The Canadian armed forces issued EAD tables with an upper PO2 of 1.5 ATA. In 1994 John Lamb and Vandagraph launched the first oxygen analyser built specifically for Nitrox and mixed-gas divers, at the Birmingham Dive Show. In 1994 BSAC reversed its policy on Nitrox and announced BSAC nitrox training to start in 1995 In 1996, the Professional Association of Diving Instructors (PADI) announced full educational support for nitrox. While other mainline scuba organizations had announced their support of nitrox earlier, it was PADI's endorsement that established nitrox as a standard recreational diving option. In 1999 a survey by R.W. Hamilton showed that over hundreds of thousands of nitrox dives, the DCS record is good. Nitrox had become popular with recreational divers, but not used much by commercial divers who tend to use surface supplied breathing apparatus. The OSHA accepted a petition for a variance from the commercial diving regulations for recreational scuba instructors. The 2001 edition of the NOAA Diving Manual included a chapter intended for Nitrox training. In nature At times in the geological past, the Earth's atmosphere contained much more than 20% oxygen: e.g. up to 35% in the Upper Carboniferous period. This let animals absorb oxygen more easily and influenced their evolutionary patterns. See also Other Methods of References Footnotes External links NASA - Safety Standards for Oxygen and Oxygen Handling Breathing gases
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9956_0
Eric Alfred Leslie Satie (, ; ; 17 May 18661 July 1925), who signed his name Erik Satie after 1884, was a French composer and pianist. He was the son of a French father and a British mother. He studied at the Paris Conservatoire, but was an undistinguished student and obtained no diploma. In the 1880s he worked as a pianist in café-cabaret in Montmartre, Paris, and began composing works, mostly for solo piano, such as his Gymnopédies. He also wrote music for a Rosicrucian sect to which he was briefly attached. After a spell in which he composed little, Satie entered Paris's second music academy, the Schola Cantorum, as a mature student. His studies there were more successful than those at the Conservatoire. From about 1910 he became the focus of successive groups of young composers attracted by his unconventionality and originality. Among them were the group known as Les Six. A meeting with Jean Cocteau in 1915 led to the creation of the ballet Parade (1917) for Serge Diaghilev, with music by Satie, sets and costumes by Pablo Picasso, and choreography by Léonide Massine. Satie's example guided a new generation of French composers away from post-Wagnerian impressionism towards a sparer, terser style. Among those influenced by him during his lifetime were Maurice Ravel and Francis Poulenc, and he is seen as an influence on more recent, minimalist composers such as John Cage and John Adams. His harmony is often characterised by unresolved chords, he sometimes dispensed with bar-lines, as in his Gnossiennes, and his melodies are generally simple and often reflect his love of old church music. He gave some of his later works absurd titles, such as Veritables Preludes flasques (pour un chien) ("True Flabby Preludes (for a Dog)", 1912), Croquis et agaceries d'un gros bonhomme en bois ("Sketches and Exasperations of a Big Wooden Man", 1913) and Sonatine bureaucratique ("Bureaucratic Sonata", 1917). Most of his works are brief, and the majority are for solo piano. Exceptions include his "symphonic drama" Socrate (1919) and two late ballets Mercure and Relâche (1924).
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9956_1
Satie never married, and his home for most of his adult life was a single small room, first in Montmartre and, from 1898 to his death, in Arcueil, a suburb of Paris. He adopted various images over the years, including a period in quasi-priestly dress, another in which he always wore identically-coloured velvet suits, and is known for his last persona, in neat bourgeois costume, with bowler hat, wing collar, and umbrella. He was a lifelong heavy drinker, and died of cirrhosis of the liver at the age of 59. Life and career Early years Satie was born on 17 May 1866 in Honfleur, Normandy, the first child of Alfred Satie and his wife Jane Leslie (née Anton). Jane Satie was an English Protestant, of Scottish descent; Alfred Satie, a shipping broker, was a Roman Catholic anglophobe. A year later, the Saties had a daughter, Olga, and in 1869, a second son, Conrad. The children were baptised in the Anglican church. After the Franco-Prussian War, Alfred Satie sold his business and the family moved to Paris, where he eventually set up as a music publisher. In 1872 Jane Satie died and Eric and his brother were sent back to Honfleur to be brought up by Alfred's parents. The boys were rebaptised as Roman Catholics and educated at a local boarding school, where Satie excelled in history and Latin but nothing else. In 1874 he began taking music lessons with a local organist, Gustave Vinot, a former pupil of Louis Niedermeyer. Vinot stimulated Satie's love of old church music, and in particular Gregorian chant. In 1878 Satie's grandmother died, and the two boys returned to Paris to be informally educated by their father. Satie did not attend a school, but his father took him to lectures at the Collège de France and engaged a tutor to teach Eric Latin and Greek. Before the boys returned to Paris from Honfleur, Alfred had met a piano teacher and salon composer, Eugénie Barnetche, whom he married in January 1879, to the dismay of the 12-year-old Satie, who did not like her.
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9956_2
Eugénie Satie resolved that her elder stepson should become a professional musician, and in November 1879 enrolled him in the preparatory piano class at the Paris Conservatoire. Satie strongly disliked the Conservatoire, which he described as "a vast, very uncomfortable, and rather ugly building; a sort of district prison with no beauty on the inside – nor on the outside, for that matter". He studied solfeggio with Albert Lavignac and piano with Émile Decombes, who had been a pupil of Frédéric Chopin. In 1880 Satie took his first examinations as a pianist: he was described as "gifted but indolent". The following year Decombes called him "the laziest student in the Conservatoire". In 1882 he was expelled from the Conservatoire for his unsatisfactory performance. In 1884 Satie wrote his first known composition, a short Allegro for piano, written while on holiday in Honfleur. He signed himself "Erik" on this and subsequent compositions, though continuing to use "Eric" on other documents until 1906. In 1885 he was readmitted to the Conservatoire, in the intermediate piano class of his stepmother's former teacher, Georges Mathias. He made little progress: Mathias described his playing as "Insignificant and laborious" and Satie himself "Worthless. Three months just to learn the piece. Cannot sight-read properly". Satie became fascinated by aspects of religion. He spent much time in Notre-Dame de Paris contemplating the stained glass windows and in the National Library examining obscure medieval manuscripts. His friend Alphonse Allais later dubbed him "Esotérik Satie". From this period comes Ogives, a set of four piano pieces inspired by Gregorian chant and Gothic church architecture. Keen to leave the Conservatoire, Satie volunteered for military service, and joined the 33rd Infantry Regiment in November 1886. He quickly found army life no more to his liking than the Conservatoire, and deliberately contracted acute bronchitis by standing in the open, bare-chested, on a winter night. After three months' convalescence he was invalided out of the army.
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9956_3
Montmartre In 1887, at the age of 21, Satie moved from his father's residence to lodgings in the 9th arrondissement. By this time he had started what was to be an enduring friendship with the romantic poet Contamine de Latour, whose verse he set in some of his early compositions, which Satie senior published. His lodgings were close to the popular Chat Noir cabaret on the southern edge of Montmartre where he became an habitué and then a resident pianist. The Chat Noir was known as the "temple de la 'convention farfelue'" – the temple of zany convention, and as the biographer Robert Orledge puts it, Satie, "free from his restrictive upbringing … enthusiastically embraced the reckless bohemian lifestyle and created for himself a new persona as a long-haired man-about-town in frock coat and top hat". This was the first of several personas that Satie invented for himself over the years. In the late 1880s Satie styled himself on at least one occasion "Erik Satie – gymnopédiste", and his works from this period include the three Gymnopédies (1888) and the first Gnossiennes (1889 and 1890). He earned a modest living as pianist and conductor at the Chat Noir, before falling out with the proprietor and moving to become second pianist at the nearby Auberge du Clou. There he became a close friend of Claude Debussy, who proved a kindred spirit in his experimental approach to composition. Both were bohemians, enjoying the same café society and struggling to survive financially. At the Auberge du Clou Satie first encountered the flamboyant, self-styled "Sâr" Joséphin Péladan, for whose mystic sect, the Ordre de la Rose-Croix Catholique du Temple et du Graal, he was appointed composer. This gave him scope for experiment, and Péladan's salons at the fashionable Galerie Durand-Ruel gained Satie his first public hearings. Frequently short of money, Satie moved from his lodgings in the 9th arrondissement to a small room in the rue Cortot not far from Sacre-Coeur, so high up the Butte Montmartre that he said he could see from his window all the way to the Belgian border.
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9956_4
By mid-1892, Satie had composed the first pieces in a compositional system of his own making (), provided incidental music to a chivalric esoteric play (two ), had a hoax published (announcing the premiere of his non-existent , an anti-Wagnerian opera) and broken from Péladan, starting that autumn with the "Uspud" project, a "Christian Ballet", in collaboration with Latour. He challenged the musical establishment by proposing himself – unsuccessfully – for the seat in the Académie des Beaux-Arts made vacant by the death of Ernest Guiraud. Between 1893 and 1895, Satie, affecting a quasi-priestly dress, was the founder and only member of the Eglise Métropolitaine d'Art de Jésus Conducteur. From his "Abbatiale" in the rue Cortot, he published scathing attacks on his artistic enemies. In 1893 Satie had what is believed to be his only love affair, a five-month liaison with the painter Suzanne Valadon. After their first night together, he proposed marriage. The two did not marry, but Valadon moved to a room next to Satie's at the rue Cortot. Satie became obsessed with her, calling her his Biqui and writing impassioned notes about "her whole being, lovely eyes, gentle hands, and tiny feet". During their relationship Satie composed the Danses gothiques as a means of calming his mind, and Valadon painted his portrait, which she gave him. After five months she moved away, leaving him devastated. He said later that he was left with "nothing but an icy loneliness that fills the head with emptiness and the heart with sadness". In 1895 Satie attempted to change his image once again: this time to that of "the Velvet Gentleman". From the proceeds of a small legacy he bought seven identical dun-coloured suits. Orledge comments that this change "marked the end of his Rose+Croix period and the start of a long search for a new artistic direction". Move to Arcueil
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9956_5
Move to Arcueil In 1898, in search of somewhere cheaper and quieter than Montmartre, Satie moved to a room in the southern suburbs, in the commune of Arcueil-Cachan, eight kilometres (five miles) from the centre of Paris. This remained his home for the rest of his life. No visitors were ever admitted. He joined a radical socialist party (he later switched his membership to the Communist Party), but adopted a thoroughly bourgeois image: the biographer Pierre-Daniel Templier, writes, "With his umbrella and bowler hat, he resembled a quiet school teacher. Although a Bohemian, he looked very dignified, almost ceremonious". Satie earned a living as a cabaret pianist, adapting more than a hundred compositions of popular music for piano or piano and voice, adding some of his own. The most popular of these were , text by Henry Pacory; , text by Vincent Hyspa; , a waltz; La Diva de l'Empire, text by Dominique Bonnaud/Numa Blès; , a march; , text by Contamine de Latour (lost, but the music later reappears in ); and others. In his later years Satie rejected all his cabaret music as vile and against his nature. Only a few compositions that he took seriously remain from this period: Jack in the Box, music to a pantomime by Jules Depaquit (called a "" by Satie); , a short comic opera to a text by "Lord Cheminot" (Latour); The Dreamy Fish, piano music to accompany a lost tale by Cheminot, and a few others that were mostly incomplete. Few were presented, and none published at the time.
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9956_6
A decisive change in Satie's musical outlook came after he heard the premiere of Debussy's opera Pelléas et Mélisande in 1902. He found it "absolutely astounding", and he re-evaluated his own music. In a determined attempt to improve his technique, and against Debussy's advice, he enrolled as a mature student at Paris's second main music academy, the Schola Cantorum in October 1905, continuing his studies there until 1912. The institution was run by Vincent d'Indy, who emphasised orthodox technique rather than creative originality. Satie studied counterpoint with Albert Roussel and composition with d'Indy, and was a much more conscientious and successful student than he had been at the Conservatoire in his youth. It was not until 1911, when he was in his mid-forties, that Satie came to the notice of the musical public in general. In January of that year Maurice Ravel played some early Satie works at a concert by the Société musicale indépendante, a forward-looking group set up by Ravel and others as a rival to the conservative Société nationale de musique. Satie was suddenly seen as "the precursor and apostle of the musical revolution now taking place"; he became a focus for young composers. Debussy, having orchestrated the first and third Gymnopédies, conducted them in concert. The publisher Demets asked for new works from Satie, who was finally able to give up his cabaret work and devote himself to composition. Works such as the cycle Sports et divertissements (1914) were published in de luxe editions. The press began to write about Satie's music, and a leading pianist, Ricardo Viñes, took him up, giving celebrated first performances of some Satie pieces.
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9956_7
Last years Satie became the focus of successive groups of young composers, whom he first encouraged and then distanced himself from, sometimes rancorously, when their popularity threatened to eclipse his or they otherwise displeased him. First were the "jeunes" – those associated with Ravel – and then a group known at first as the "nouveaux jeunes", later called Les Six, including Georges Auric, Louis Durey, Arthur Honegger, and Germaine Tailleferre, joined later by Francis Poulenc and Darius Milhaud. Satie dissociated himself from the second group in 1918, and in the 1920s he became the focal point of another set of young composers including Henri Cliquet-Pleyel, Roger Désormière, Maxime Jacob and Henri Sauguet, who became known as the "Arcueil School". In addition to turning against Ravel, Auric and Poulenc in particular, Satie quarrelled with his old friend Debussy in 1917, resentful of the latter's failure to appreciate the more recent Satie compositions. The rupture lasted for the remaining months of Debussy's life, and when he died the following year, Satie refused to attend the funeral. A few of his protégés escaped his displeasure, and Milhaud and Désormière were among those who remained friends with him to the last. The First World War restricted concert-giving to some extent, but Orledge comments that the war years brought "Satie's second lucky break", when Jean Cocteau heard Viñes and Satie perform the Trois morceaux in 1916. This led to the commissioning of the ballet Parade, premiered in 1917 by Sergei Diaghilev's Ballets Russes, with music by Satie, sets and costumes by Pablo Picasso, and choreography by Léonide Massine. This was a succès de scandale, with jazz rhythms and instrumentation including parts for typewriter, steamship whistle and siren. It firmly established Satie's name before the public, and thereafter his career centred on the theatre, writing mainly to commission.
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9956_8
In October 1916 Satie received a commission from the Princesse de Polignac that resulted in what Orledge rates as the composer's masterpiece, Socrate, two years later. Satie set translations from Plato's Dialogues as a "symphonic drama". Its composition was interrupted in 1917 by a libel suit brought against him by a music critic, Jean Poueigh, which nearly resulted in a jail sentence for Satie. When Socrate was premiered, Satie called it "a return to classical simplicity with a modern sensibility", and among those who admired the work was Igor Stravinsky, a composer whom Satie regarded with awe. In his later years Satie became known for his prose. He was in demand as a journalist, making contributions to the Revue musicale, Action, L’Esprit nouveau, the Paris-Journal and other publications from the Dadaist 391 to the English-language magazines Vanity Fair and The Transatlantic Review. As he contributed anonymously or under pen names to some publications it is not certain how many titles he wrote for, but Grove's Dictionary of Music and Musicians lists 25. Satie's habit of embellishing the scores of his compositions with all kinds of written remarks became so established that he had to insist that they must not be read out during performances. In 1920 there was a festival of Satie's music at the Salle Erard in Paris. In 1924 the ballets Mercure (with choreography by Massine and décor by Picasso) and Relâche ("Cancelled") (in collaboration with Francis Picabia and René Clair), both provoked headlines with their first night scandals.
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9956_9
Despite being a musical iconoclast, and encourager of modernism, Satie was uninterested to the point of antipathy about innovations such as the telephone, the gramophone and the radio. He made no recordings, and as far as is known heard only a single radio broadcast (of Milhaud's music) and made only one telephone call. Although his personal appearance was customarily immaculate, his room at Arcueil was in Orledge's word "squalid", and after his death the scores of several important works believed lost were found among the accumulated rubbish. He was incompetent with money. Having depended to a considerable extent on the generosity of friends in his early years, he was little better off when he began to earn a good income from his compositions, as he spent or gave away money as soon as he received it. He liked children, and they liked him, but his relations with adults were seldom straightforward. One of his last collaborators, Picabia, said of him: Throughout his adult life Satie was a heavy drinker, and in 1925 his health gave way. He was taken to the Hôpital Saint-Joseph in Paris, suffering from cirrhosis of the liver. He died there at 8.00 p.m. on 1 July, at the age of 59. He was buried in the cemetery at Arcueil. Works Music In the view of the Oxford Dictionary of Music, Satie's importance lay in "directing a new generation of French composers away from Wagner‐influenced impressionism towards a leaner, more epigrammatic style". Debussy christened him "the precursor" because of his early harmonic innovations. Satie summed up his musical philosophy in 1917: Among his earliest compositions were sets of three Gymnopédies (1888) and his Gnossiennes (1889 onwards) for piano. They evoke the ancient world by what the critics Roger Nichols and Paul Griffiths describe as "pure simplicity, monotonous repetition, and highly original modal harmonies". It is possible that their simplicity and originality were influenced by Debussy; it is also possible that it was Satie who influenced Debussy. During the brief spell when Satie was composer to Péladan's sect he adopted a similarly austere manner.
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9956_10
While Satie was earning his living as a café pianist in Montmartre he contributed songs and little waltzes. After moving to Arcueil he began to write works with quirky titles, such as the seven-movement suite Trois morceaux en forme de poire ("Three Pear-shaped Pieces") for piano four-hands (1903), simply-phrased music that Nichols and Griffiths describe as "a résumé of his music since 1890" – reusing some of his earlier work as well as popular songs of the time. He struggled to find his own musical voice. Orledge writes that this was partly because of his "trying to ape his illustrious peers … we find bits of Ravel in his miniature opera Geneviève de Brabant and echoes of both Fauré and Debussy in the Nouvelles pièces froides of 1907". After concluding his studies at the Schola Cantorum in 1912 Satie composed with greater confidence and more prolifically. Orchestration, despite his studies with d'Indy, was never his strongest suit, but his grasp of counterpoint is evident in the opening bars of Parade, and from the outset of his composing career he had original and distinctive ideas about harmony. In his later years he composed sets of short instrumental works with absurd titles, including Veritables Preludes flasques (pour un chien) ("True Flabby Preludes (for a Dog)", 1912), Croquis et agaceries d'un gros bonhomme en bois ("Sketches and Exasperations of a Big Wooden Man", 1913) and Sonatine bureaucratique ("Bureaucratic Sonata", 1917).
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9956_11
In his neat, calligraphic hand, Satie would write extensive instructions for his performers, and although his words appear at first sight to be humorous and deliberately nonsensical, Nichols and Griffiths comment, "a sensitive pianist can make much of injunctions such as 'arm yourself with clairvoyance' and 'with the end of your thought'". His Sonatine bureaucratique anticipates the neoclassicism soon adopted by Stravinsky. Despite his rancorous falling out with Debussy, Satie commemorated his long-time friend in 1920, two years after Debussy's death, in the anguished "Elégie", the first of the miniature song cycle Quatre petites mélodies. Orledge rates the cycle as the finest, though least known, of the four sets of short songs of Satie's last decade. Satie invented what he called Musique d'ameublement – "furniture music" – a kind of background not to be listened to consciously. Cinéma, composed for the René Clair film Entr'acte, shown between the acts of Relâche (1924), is an example of early film music designed to be unconsciously absorbed rather than carefully listened to. Satie is regarded by some writers as an influence on minimalism, which developed in the 1960s and later. The musicologist Mark Bennett and the composer Humphrey Searle have said that John Cage's music shows Satie's influence, and Searle and the writer Edward Strickland have used the term "minimalism" in connection with Satie's Vexations, which the composer implied in his manuscript should be played over and over again 840 times. John Adams included a specific homage to Satie's music in his 1996 Century Rolls. Writings
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9956_12
Writings Satie wrote extensively for the press, but unlike his professional colleagues such as Debussy and Dukas he did not write primarily as a music critic. Much of his writing is connected to music tangentially if at all. His biographer Caroline Potter describes him as "an experimental creative writer, a blagueur who provoked, mystified and amused his readers". He wrote jeux d'esprit claiming to eat dinner in four minutes with a diet of exclusively white food (including bones and fruit mould), or to drink boiled wine mixed with fuchsia juice, or to be woken by a servant hourly throughout the night to have his temperature taken; he wrote in praise of Beethoven's non-existent but "sumptuous" Tenth Symphony, and the family of instruments known as the cephalophones, "which have a compass of thirty octaves and are absolutely unplayable". Satie grouped some of these writings under the general headings Cahiers d'un mammifère (A Mammal's Notebook) and Mémoires d'un amnésique (Memoirs of an Amnesiac), indicating, as Potter comments, that "these are not autobiographical writings in the conventional manner". He claimed the major influence on his humour was Oliver Cromwell, adding "I also owe much to Christopher Columbus, because the American spirit has occasionally tapped me on the shoulder and I have been delighted to feel its ironically glacial bite". His published writings include: A Mammal's Notebook: Collected Writings of Erik Satie (Serpent's Tail; Atlas Arkhive, No 5, 1997) (with introduction and notes by Ornella Volta, translations by Anthony Melville, contains several drawings by Satie) (Paris: Fayard/Imes, 2000; 1265 pages) (an almost complete edition of Satie's letters, in French) Nigel Wilkins, The Writings of Erik Satie, London, 1980. Notes, references and sources Notes References Sources · External links "Maisons Satie" – Satie birthplace museum, Honfleur.
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9956_13
1866 births 1925 deaths 19th-century classical composers 19th-century French composers 19th-century French male classical pianists 20th-century classical composers 20th-century French male classical pianists 20th-century French composers Ballets Russes composers Cabaret Composers for piano Dada Deaths from cirrhosis Fin de siècle French ballet composers French classical composers French communists French male classical composers French people of Scottish descent French socialists French surrealist artists Neoclassical composers People from Honfleur People of Montmartre Pupils of Georges Mathias Pupils of Vincent d'Indy Rosicrucians Schola Cantorum de Paris alumni Surreal comedy Alcohol-related deaths in France French Army personnel
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9960_0
In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals. Originally, they arose in connection with the problem of finding the arc length of an ellipse and were first studied by Giulio Fagnano and Leonhard Euler (). Modern mathematics defines an "elliptic integral" as any function which can be expressed in the form where is a rational function of its two arguments, is a polynomial of degree 3 or 4 with no repeated roots, and is a constant. In general, integrals in this form cannot be expressed in terms of elementary functions. Exceptions to this general rule are when has repeated roots, or when contains no odd powers of . However, with the appropriate reduction formula, every elliptic integral can be brought into a form that involves integrals over rational functions and the three Legendre canonical forms (i.e. the elliptic integrals of the first, second and third kind). Besides the Legendre form given below, the elliptic integrals may also be expressed in Carlson symmetric form. Additional insight into the theory of the elliptic integral may be gained through the study of the Schwarz–Christoffel mapping. Historically, elliptic functions were discovered as inverse functions of elliptic integrals. Argument notation Incomplete elliptic integrals are functions of two arguments; complete elliptic integrals are functions of a single argument. These arguments are expressed in a variety of different but equivalent ways (they give the same elliptic integral). Most texts adhere to a canonical naming scheme, using the following naming conventions. For expressing one argument: , the modular angle , the elliptic modulus or eccentricity , the parameter Each of the above three quantities is completely determined by any of the others (given that they are non-negative). Thus, they can be used interchangeably. The other argument can likewise be expressed as , the amplitude, or as or , where and is one of the Jacobian elliptic functions. Specifying the value of any one of these quantities determines the others. Note that also depends on . Some additional relationships involving include The latter is sometimes called the delta amplitude and written as . Sometimes the literature also refers to the complementary parameter, the complementary modulus, or the complementary modular angle. These are further defined in the article on quarter periods.
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9960_1
In this notation, the use of a vertical bar as delimiter indicates that the argument following it is the "parameter" (as defined above), while the backslash indicates that it is the modular angle. The use of a semicolon implies that the argument preceding it is the sine of the amplitude: This potentially confusing use of different argument delimiters is traditional in elliptic integrals and much of the notation is compatible with that used in the reference book by Abramowitz and Stegun and that used in the integral tables by Gradshteyn and Ryzhik. There are still other conventions for the notation of elliptic integrals employed in the literature. The notation with interchanged arguments, , is often encountered; and similarly for the integral of the second kind. Abramowitz and Stegun substitute the integral of the first kind, , for the argument in their definition of the integrals of the second and third kinds, unless this argument is followed by a vertical bar: i.e. for . Moreover, their complete integrals employ the parameter as argument in place of the modulus , i.e. rather than . And the integral of the third kind defined by Gradshteyn and Ryzhik, , puts the amplitude first and not the "characteristic" . Thus one must be careful with the notation when using these functions, because various reputable references and software packages use different conventions in the definitions of the elliptic functions. For example, Wolfram's Mathematica software and Wolfram Alpha define the complete elliptic integral of the first kind in terms of the parameter , instead of the elliptic modulus . Incomplete elliptic integral of the first kind The incomplete elliptic integral of the first kind is defined as This is the trigonometric form of the integral; substituting and , one obtains the Legendre normal form: Equivalently, in terms of the amplitude and modular angle one has: With one has: demonstrating that this Jacobian elliptic function is a simple inverse of the incomplete elliptic integral of the first kind. The incomplete elliptic integral of the first kind has following addition theorem: The elliptic modulus can be transformed that way: Incomplete elliptic integral of the second kind The incomplete elliptic integral of the second kind in trigonometric form is
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9960_2
Substituting and , one obtains the Legendre normal form: Equivalently, in terms of the amplitude and modular angle: Relations with the Jacobi elliptic functions include The meridian arc length from the equator to latitude is written in terms of : where is the semi-major axis, and is the eccentricity. The incomplete elliptic integral of the second kind has following addition theorem: The elliptic modulus can be transformed that way: Incomplete elliptic integral of the third kind The incomplete elliptic integral of the third kind is or The number is called the characteristic and can take on any value, independently of the other arguments. Note though that the value is infinite, for any . A relation with the Jacobian elliptic functions is The meridian arc length from the equator to latitude is also related to a special case of : Complete elliptic integral of the first kind Elliptic Integrals are said to be 'complete' when the amplitude and therefore . The complete elliptic integral of the first kind may thus be defined as or more compactly in terms of the incomplete integral of the first kind as It can be expressed as a power series where is the Legendre polynomials, which is equivalent to where denotes the double factorial. In terms of the Gauss hypergeometric function, the complete elliptic integral of the first kind can be expressed as The complete elliptic integral of the first kind is sometimes called the quarter period. It can be computed very efficiently in terms of the arithmetic–geometric mean: See for details. Therefore the modulus can be transformed that way: This expression is valid for all and 0 ≤ k ≤ 1: Relation to the gamma function If and (where is the modular lambda function), then is expressible in closed form in terms of the gamma function. For example, and give, respectively, More generally, the condition that be in an imaginary quadratic field is sufficient. For instance, if , then and Relation to Jacobi theta function The relation to Jacobi's theta function is given by where the nome is Asymptotic expressions
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9960_3
where the nome is Asymptotic expressions This approximation has a relative precision better than for . Keeping only the first two terms is correct to 0.01 precision for . Differential equation The differential equation for the elliptic integral of the first kind is A second solution to this equation is . This solution satisfies the relation Continued fraction A continued fraction expansion is: where the nome is . Complete elliptic integral of the second kind The complete elliptic integral of the second kind is defined as or more compactly in terms of the incomplete integral of the second kind as For an ellipse with semi-major axis and semi-minor axis and eccentricity , the complete elliptic integral of the second kind is equal to one quarter of the circumference of the ellipse measured in units of the semi-major axis . In other words: The complete elliptic integral of the second kind can be expressed as a power series which is equivalent to In terms of the Gauss hypergeometric function, the complete elliptic integral of the second kind can be expressed as The modulus can be transformed that way: Computation Like the integral of the first kind, the complete elliptic integral of the second kind can be computed very efficiently using the arithmetic–geometric mean . Define sequences and , where , and the recurrence relations , hold. Furthermore, define . By definition, Also, . Then In practice, the arithmetic-geometric mean would simply be computed up to some limit. This formula converges quadratically for all . To speed up computation further, the relation can be used. Furthermore, if and (where is the modular lambda function), then is expressible in closed form in terms of and hence can be computed without the need for the term. For example, and give, respectively, Derivative and differential equation A second solution to this equation is . Complete elliptic integral of the third kind The complete elliptic integral of the third kind can be defined as Note that sometimes the elliptic integral of the third kind is defined with an inverse sign for the characteristic ,
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9960_4
Just like the complete elliptic integrals of the first and second kind, the complete elliptic integral of the third kind can be computed very efficiently using the arithmetic-geometric mean . Partial derivatives Functional relations Legendre's relation: See also Elliptic curve Schwarz–Christoffel mapping Carlson symmetric form Jacobi's elliptic functions Weierstrass's elliptic functions Jacobi theta function Ramanujan theta function Arithmetic–geometric mean Pendulum period Meridian arc References Notes Other External links Eric W. Weisstein, "Elliptic Integral" (Mathworld) Matlab code for elliptic integrals evaluation by elliptic project Rational Approximations for Complete Elliptic Integrals (Exstrom Laboratories) A Brief History of Elliptic Integral Addition Theorems Elliptic functions Special hypergeometric functions
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9961_0
The Epistle to the Romans or Letter to the Romans, often shortened to Romans, is the sixth book in the New Testament. Biblical scholars agree that it was composed by Paul the Apostle to explain that salvation is offered through the gospel of Jesus Christ. It is the longest of the Pauline epistles. General presentation In the opinion of Jesuit scholar Joseph Fitzmyer, the book "overwhelms the reader by the density and sublimity of the topic with which it deals, the gospel of the justification and salvation of Jew and Greek alike by the grace of God through faith in Jesus Christ, revealing the uprightness and love of God the Father." N. T. Wright notes that Romans is Authorship and dating The scholarly consensus is that Paul wrote the Epistle to the Romans. C. E. B. Cranfield, in the introduction to his commentary on Romans, says: The denial of Paul's authorship of Romans by such critics ... is now rightly relegated to a place among the curiosities of NT scholarship. Today no responsible criticism disputes its Pauline origin. The evidence of its use in the Apostolic Fathers is clear, and before the end of the second century it is listed and cited as Paul's. Every extant early list of NT books includes it among his letters. The external evidence of authenticity could indeed hardly be stronger; and it is altogether borne out by the internal evidence, linguistic, stylistic, literary, historical and theological.
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9961_1
The letter was most probably written while Paul was in Corinth, probably while he was staying in the house of Gaius, and transcribed by Tertius, his amanuensis. There are a number of reasons why Corinth is considered most plausible. Paul was about to travel to Jerusalem on writing the letter, which matches Acts where it is reported that Paul stayed for three months in Greece. This probably implies Corinth as it was the location of Paul's greatest missionary success in Greece. Additionally, Phoebe was a deacon of the church in Cenchreae, a port to the east of Corinth, and would have been able to convey the letter to Rome after passing through Corinth and taking a ship from Corinth's west port. Erastus, mentioned in , also lived in Corinth, being the city's commissioner for public works and city treasurer at various times, again indicating that the letter was written in Corinth. The precise time at which it was written is not mentioned in the epistle, but it was obviously written when the collection for Jerusalem had been assembled and Paul was about to "go unto Jerusalem to minister unto the saints", that is, at the close of his second visit to Greece, during the winter preceding his last visit to that city. The majority of scholars writing on Romans propose the letter was written in late 55/early 56 or late 56/early 57. Early 55 and early 58 both have some support, while German New Testament scholar Gerd Lüdemann argues for a date as early as 51/52 (or 54/55), following on from Knox, who proposed 53/54. Lüdemann is the only serious challenge to the consensus of mid to late 50s. Textual variants
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9961_2
Textual variants Fourteen-chapter form There is strong, albeit indirect, evidence that a recension of Romans that lacked Chapters 15 and 16 was widely used in the western half of the Roman Empire until the mid-4th century. This conclusion is partially based on the fact that a variety of Church Fathers, such as Origen and Tertullian, refer to a fourteen-chapter edition of Romans, either directly or indirectly. The fact that Paul's doxology is placed in various different places in different manuscripts of Romans only strengthens the case for an early fourteen-chapter recension. While there is some uncertainty, Harry Gamble concludes that the canonical sixteen-chapter recension is likely the earlier version of the text. The Codex Boernerianus lacks the explicit references to the Roman church as the audience of the epistle found in Romans 1:7 and 1:15. There is evidence from patristic commentaries indicating that Boernarianus is not unique in this regard; many early, no longer extant manuscripts also lacked an explicit Roman addressee in Chapter 1. It is notable that, when this textual variant is combined with the omission of Chapters 15 and 16, there is no longer any clear reference to the Roman church throughout the entire epistle. Harry Gamble speculates that 1:7, 1:15, and Chapters 15 and 16 may have been removed by a scribe in order to make the epistle more suitable for a "general" audience. Fifteen-chapter form It is quite possible that a fifteen-chapter form of Romans, omitting Chapter 16, may have existed at an early date. Several scholars have argued, largely on the basis of internal evidence, that Chapter 16 represents a separate letter of Paul— possibly addressed to Ephesus— that was later appended to Romans.
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9961_3
There are a few different arguments for this conclusion. First of all, there is a concluding peace benediction at 15:33, which reads like the other Pauline benedictions that conclude their respective letters. Secondly, Paul greets a large number of people and families in Chapter 16, in a way that suggests he was already familiar with them, whereas the material of Chapters 1-15 presupposes that Paul has never met anyone from the Roman church. The fact that Papyrus 46 places Paul's doxology at the end of Chapter 15 can also be interpreted as evidence for the existence of a fifteen-chapter recension of the epistle.
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9961_4
Subscript Some manuscripts have a subscript at the end of the Epistle: προς Ρωμαιους ("to the Romans") is found in these manuscripts: Codex Sinaiticus, Codex Alexandrinus, Codex Vaticanus, Codex Ephraemi Rescriptus, Codex Claromontanus; προς Ρωμαιους εγραφη απο Κορινθου ("to the Romans it was written from Corinth"): B2, D2 (P); προς Ρωμαιους εγραφη απο Κορινθου δια Φοιβης της διακονου ("to the Romans it was written from Corinth by Phoebus the deacon"): 42, 90, 216, 339, 462, 466*, 642; εγραφη η προς Ρωμαιους επιστολη δια Τερτιου επεμφτη δε δια Φοιβης απο Κορινθιων της εν Κεγχρεαις εκκλησιας ("the epistle to the Romans was written by Tertius and was sent by Phoebus from the Corinthians of the church in Cenchreae"): only in 337; προς Ρωμαιους εγραφη απο Κορινθου δια Φοιβης της διακονου της εν Κεγχρεαις εκκλησιας ("to the Romans it was written from Corinth by Phoebus the deacon of the church in Cenchreae"): 101, 241, 460, 466, 469, 602, 603, 605, 618, 1923, 1924, 1927, 1932, followed by Textus Receptus. Paul's life in relation to his epistle
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9961_5
Paul's life in relation to his epistle For ten years before writing the letter (approx. 47–57), Paul had traveled around the territories bordering the Aegean Sea evangelizing. Churches had been planted in the Roman provinces of Galatia, Macedonia, Achaia and Asia. Paul, considering his task complete, wanted to preach the gospel in Spain, where he would not "build upon another man’s foundation". This allowed him to visit Rome on the way, a long-time ambition of his. The letter to the Romans, in part, prepares them and gives reasons for his visit. In addition to Paul's geographic location, his religious views are important. First, Paul was a Hellenistic Jew with a Pharisaic background (see Gamaliel), integral to his identity: see Paul the Apostle and Judaism for details. His concern for his people is one part of the dialogue and runs throughout the letter. Second, the other side of the dialogue is Paul's conversion and calling to follow Christ in the early 30s. The churches in Rome The most probable ancient account of the beginning of Christianity in Rome is given by a 4th-century writer known as Ambrosiaster: From Adam Clarke: At this time, the Jews made up a substantial number in Rome, and their synagogues, frequented by many, enabled the Gentiles to become acquainted with the story of Jesus of Nazareth. Consequently, churches composed of both Jews and Gentiles were formed at Rome. According to Irenaeus, a 2nd-century Church Father, the church at Rome was founded directly by the apostles Peter and Paul. However, many modern scholars disagree with Irenaeus, holding that while little is known of the circumstances of the church's founding, it was not founded by Paul: Note the large number of names in of those then in Rome, and verses 5, 15 and 16 indicate there was more than one church assembly or company of believers in Rome. Verse 5 mentions a church that met in the house of Aquila and Priscilla. Verses 14 and 15 each mention groupings of believers and saints.
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9961_6
Jews were expelled from Rome because of disturbances around AD 49 by the edict of Claudius. Fitzmyer claims that both Jews and Jewish Christians were expelled as a result of their infighting. Claudius died around the year AD 54, and his successor, Emperor Nero, allowed the Jews back into Rome, but then, after the Great Fire of Rome of 64, Christians were persecuted. Fitzmyer argues that with the return of the Jews to Rome in 54 new conflict arose between the Gentile Christians and the Jewish Christians who had formerly been expelled. Keck thinks Gentile Christians may have developed a dislike of or looked down on Jews (see also Antisemitism and Responsibility for the death of Jesus), because they theologically rationalized that Jews were no longer God's people. Style Scholars often have difficulty assessing whether Romans is a letter or an epistle, a relevant distinction in form-critical analysis: A letter is something non-literary, a means of communication between persons who are separated from each other. Confidential and personal in nature, it is intended only for the person or persons to whom it is addressed, and not at all for the public or any kind of publicity...An Epistle is an artistic literary form, just like the dialogue, the oration, or the drama. It has nothing in common with the letter except its form: apart from that one might venture the paradox that the epistle is the opposite of a real letter. The contents of the epistle are intended for publicity—they aim at interesting "the public." Joseph Fitzmyer argues, from evidence put forth by Stirewalt, that the style of Romans is an "essay-letter." Philip Melanchthon, a writer during the Reformation, suggested that Romans was caput et summa universae doctrinae christianae ("a summary of all Christian doctrine"). While some scholars suggest, like Melanchthon, that it is a type of theological treatise, this view largely ignores chapters 14 and 15 of Romans. There are also many "noteworthy elements" missing from Romans that are included in other areas of the Pauline corpus. The breakdown of Romans as a treatise began with F.C. Baur in 1836 when he suggested "this letter had to be interpreted according to the historical circumstances in which Paul wrote it."
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9961_7
Paul sometimes uses a style of writing common in his time called a "diatribe". He appears to be responding to a "heckler" (probably an imaginary one based on Paul's encounters with real objections in his previous preaching), and the letter is structured as a series of arguments. In the flow of the letter, Paul shifts his arguments, sometimes addressing the Jewish members of the church, sometimes the Gentile membership and sometimes the church as a whole. Purposes of writing To review the current scholarly viewpoints on the purpose of Romans, along with a bibliography, see Dictionary of Paul and His Letters. For a 16th-century "Lollard" reformer view, see the work of William Tyndale. In his prologue to his translation of the book of Romans, which was largely taken from the prologue of German Reformer Martin Luther, Tyndale writes that: ... this epistle is the principal and most excellent part of the new testament, and most pure evangelion, that is to say glad tidings and what we call the gospel, and also a light and a way in unto the whole scripture ... The sum and whole cause of the writings of this epistle, is, to prove that a man is justified by faith only: which proposition whoso denieth, to him is not only this epistle and all that Paul writeth, but also the whole scripture, so locked up that he shall never understand it to his soul's health. And to bring a man to the understanding and feeling that faith only justifieth, Paul proveth that the whole nature of man is so poisoned and so corrupt, yea and so dead concerning godly living or godly thinking, that it is impossible for her to keep the law in the sight of God. Contents This essay-letter composed by Paul was written to a specific audience at a specific time; to understand it, the situations of both Paul and the recipients must be understood. Prologue (1:1–15) Greeting (1:1–7) The introduction provides some general notes about Paul. He introduces his apostleship here and introductory notes about the gospel he wishes to preach to the church at Rome. Jesus' human line stems from David. Paul, however, does not limit his ministry to Jews. Paul's goal is that the Gentiles would also hear the gospel.
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9961_8
Prayer of Thanksgiving (1:8–15) He commends the Romans for faith. Paul also speaks of the past obstacles that have blocked his coming to Rome earlier. Salvation in the Christ (1:16 –8:39) Righteousness of God (1:16–17) Paul's announcement that he is not "ashamed" (epaiscúnomai) of his gospel because it holds power (dúnamis). These two verses form a backdrop for the rest of the book. First, we note that Paul is unashamed of his love for this gospel that he preaches about Jesus Christ. He also notes that he is speaking to the "Jew first." There is significance to this, but much of it is scholarly conjecture as the relationship of Paul the Apostle and Judaism is still debated. We are hard-pressed to find an answer to such a question without knowing more about the audience in question. Wayne Brindle argues, based on Paul's former writings against the Judaizers in Galatians and 2 Corinthians, that rumors had probably spread about Paul totally negating the Jewish existence in a Christian world (see also Antinomianism in the New Testament and Supersessionism). Paul may have used the "Jew first" approach to counter such a view. Condemnation: The Universal corruption of Gentiles and Jews (1:18 –3:20) The judgment of God (1:18–32) Paul begins with a summary of Hellenistic Jewish apologist discourse. His summary begins by suggesting that humans have taken up ungodliness and wickedness for which there already is wrath from God. People have taken God's invisible image and made him into an idol. Paul draws heavily here from the Wisdom of Solomon. This summary condemns "unnatural sexual behavior" and warns that such behavior has already resulted in a depraved body and mind ("reprobate mind" in the King James Version) and says that people who do such things (including murder and wickedness ) are worthy of death. Paul stands firmly against the idol worship system which was common in Rome. Several scholars believe the passage is a non-Pauline interpolation. Paul's warning of hypocrites (2:1–4)
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9961_9
On the traditional Protestant interpretation, Paul here calls out Jews who are condemning others for not following the law when they themselves are also not following the law. Stanley Stowers, however, has argued on rhetorical grounds that Paul is in these verses not addressing a Jew at all but rather an easily recognizable caricature of the typical boastful person (ὁ ἀλαζων). Stowers writes, "There is absolutely no justification for reading as Paul's attack on 'the hypocrisy of the Jew.' No one in the first century would have identified ho alazon with Judaism. That popular interpretation depends upon anachronistically reading later Christian characterizations of Jews as 'hypocritical Pharisees'". See also Anti-Judaism. Justification: The Gift of Grace and Forgiveness through Faith (3:21 –5:11) Paul says that a righteousness from God has made itself known apart from the law, to which the law and prophets testify, and this righteousness from God comes through faith in Jesus to all who believe. He describes justification – legally clearing the believer of the guilt and penalty of sin – as a gift of God, and not the work of man (lest he might boast), but by faith. Assurance of salvation (5 –11) In chapters five through eight, Paul argues that believers can be assured of their hope in salvation, having been freed from the bondage of sin. Paul teaches that through faith, the faithful have been joined with Jesus and freed from sin. Believers should celebrate in the assurance of salvation and be certain that no external force or party can take their salvation away from them. This promise is open to everyone since everyone has sinned, save the one who paid for all of them. In , Paul says that humans are under the law while we live: "Know ye not...that the law hath dominion over a man as long as he liveth?" However, Jesus' death on the cross makes believers dead to the law (, "Wherefore, my brethren, ye are also become dead to the law by the body of Christ"), according to an antinomistic interpretation.
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9961_10
In Paul addresses the faithfulness of God to the Israelites, where he says that God has been faithful to his promise. Paul hopes that all Israelites will come to realize the truth, stating that "Not as though the word of God hath taken none effect. For they are not all Israel, which are of Israel: Neither, because they are the seed of Abraham, are they all children: but, In Isaac shall thy seed be called." Paul affirms that he himself is also an Israelite, and had in the past been a persecutor of Early Christians. In Paul talks about how the nation of Israel has not been cast away, and the conditions under which Israel will be God's chosen nation again: when Israel returns to its faith, sets aside its unbelief. Transformation of believers (12 –15:13) From chapter 12 through the first part of chapter 15, Paul outlines how the Gospel transforms believers and the behaviour that results from such a transformation. This transformation is described as a "renewing of your mind" (12:2), a transformation that Douglas J. Moo characterizes as “the heart of the matter.” It is a transformation so radical that it amounts to “a transfiguration of your brain,” a "metanoia", a “mental revolution.” Paul goes on to describe how believers should live. Christians are no longer under the law, that is, no longer bound by the law of Moses, but under the grace of God, see Law and grace. We do not need to live under the law because to the extent our minds have been renewed, we will know "almost instinctively" what God wants of us. The law then provides an "objective standard" for judging progress in the "lifelong process" of our mind's renewal. To the extent they have been set free from sin by renewed minds (Romans 6:18), believers are no longer bound to sin. Believers are free to live in obedience to God and love everybody. As Paul says in Romans 13:10, "love (ἀγάπη) worketh no ill to his neighbor: therefore love is the fulfilling of law".
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9961_11
Obedience to earthly powers (13:1–7) The fragment in Romans 13:1–7 dealing with obedience to earthly powers is considered by some, for example James Kallas, to be an interpolation. (See also the Great Commandment and Christianity and politics). Paul Tillich accepts the historical authenticity of Romans 13:1–7, but claims it has been misinterpreted by churches with an anti-revolutionary bias: One of the many politico-theological abuses of biblical statements is the understanding of Paul’s words [Romans 13:1–7] as justifying the anti-revolutionary bias of some churches, particularly the Lutheran. But neither these words nor any other New Testament statement deals with the methods of gaining political power. In Romans, Paul is addressing eschatological enthusiasts, not a revolutionary political movement. Epilogue (15:1 –16:23) Admonition (15:1–7) Summary of the Epistle (15:8) Paul's ministry and travel plans (16:14–27) The concluding verses contain a description of his travel plans, personal greetings and salutations. One-third of the twenty-one Christians identified in the greetings are women. Additionally, none of these Christians answer to the name Peter, although according to the Catholic tradition, he had been ruling as Pope in Rome for about 25 years. Possibly related was the Incident at Antioch between Paul and Cephas. Personal greetings (16:1–23 [24]) Closing doxology (16:25–27) Hermeneutics Catholic interpretation Roman Catholics accept the necessity of faith for salvation but point to for the necessity of living a virtuous life as well:
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9961_12
But by your hard and impenitent heart you are storing up wrath for yourself on the day of wrath when God's righteous judgment will be revealed. For he will render to every man according to his works: to those who by patience in well-doing seek for glory and honor and immortality, he will give eternal life; but for those who are factious and do not obey the truth, but obey wickedness, there will be wrath and fury. There will be tribulation and distress for every human being who does evil, the Jew first and also the Greek, but glory and honor and peace for every one who does good, the Jew first and also the Greek. For God shows no partiality. Catholics would also look to the passage in Romans 8:13 for evidence that justification by faith is only valid so long as it is combined with obedient cooperation with The Holy Spirit, and the passage in Romans 11:22 to show that the Christian can lose their justification if they turn away from cooperating with The Holy Spirit and reject Christ through mortal sin. Protestant interpretation In the Protestant interpretation, the New Testament epistles (including Romans), describes salvation as coming from faith and not from righteous actions. For example, Romans (underlining added): 2 For if Abraham were justified by works, he hath whereof to glory; but not before God. 3 For what saith the scripture? Abraham believed God, and it was counted unto him for righteousness. 4 Now to him that worketh is the reward not reckoned of grace, but of debt. 5 But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted unto him for righteousness. They also point out that in Romans , Paul says that God will reward those who follow the law and then goes on to say that no one follows the law perfectly (see also Sermon on the Mount: Interpretation) Romans :
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9961_13
21 Thou therefore which teachest another, teachest thou not thyself? thou that preachest a man should not steal, dost thou steal? 22 Thou that sayest a man should not commit adultery, dost thou commit adultery? thou that abhorrest idols, dost thou commit sacrilege? 23 Thou that makest thy boast of the law, through breaking the law dishonourest thou God? 24 For the name of God is blasphemed among the Gentiles through you, as it is written. 25 For circumcision verily profiteth, if thou keep the law: but if thou be a breaker of the law, thy circumcision is made uncircumcision. 26 Therefore if the uncircumcision keep the righteousness of the law, shall not his uncircumcision be counted for circumcision? 27 And shall not uncircumcision which is by nature, if it fulfil the law, judge thee, who by the letter and circumcision dost transgress the law? 28 For he is not a Jew, which is one outwardly; neither is that circumcision, which is outward in the flesh: 29 But he is a Jew, which is one inwardly; and circumcision is that of the heart, in the spirit, and not in the letter; whose praise is not of men, but of God. Romans has been at the forefront of several major movements in Protestantism. Martin Luther's lectures on Romans in 1515–1516 probably coincided with the development of his criticism of Roman Catholicism which led to the 95 Theses of 1517. In the preface to his German translation of Romans, Luther described Paul's letter to the Romans as "the most important piece in the New Testament. It is purest Gospel. It is well worth a Christian's while not only to memorize it word for word but also to occupy himself with it daily, as though it were the daily bread of the soul". In 1738, while hearing Luther's Preface to the Epistle to the Romans read at St. Botolph Church on Aldersgate Street in London, John Wesley famously felt his heart "strangely warmed", a conversion experience which is often seen as the beginning of Methodism.
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9961_14
Luther controversially added the word "alone" (allein in German) to Romans so that it read: "thus, we hold, then, that man is justified without doing the works of the law, alone through faith". The word "alone" does not appear in the original Greek text, but Luther defended his translation by maintaining that the adverb "alone" was required both by idiomatic German and Paul's intended meaning. This is a "literalist view" rather than a literal view of the Bible. Apologist James Swan lists numerous Catholic sources that also translated Romans 3:28 with the word "alone," or testified to others doing so before Luther. A Bible commentary published in 1864 reports that: The Romans Road (or Roman Road) refers to a set of scriptures from Romans that Christian evangelists use to present a clear and simple case for personal salvation to each person, as all the verses are contained in one single book, making it easier for evangelism without going back and forth through the entire New Testament. The core verses used by nearly all groups using Romans Road are: Romans , , , , and . See also The Epistle to the Romans (Barth) Loci Communes New Perspective on Paul Paul the Apostle and Judaism Rudyard Kipling 1919 poem "The Gods of the Copybook Headings" "The Wages of Sin is Death." Romans 6:23 The Justice of God in the Damnation of Sinners, sermon on Romans 3:19 Textual variants in the Epistle to the Romans Notes References Rutherford, Graeme (1993). The Heart of Christianity: Romans [chapters] 1 to 8. Second ed. Oxford, Eng.: Bible Reading Fellowship. 248 p. External links Translations "Bible Gateway 35 languages/50 versions" "Epistle to the Romans" – Early Christian Writings "Online Bible" – gospelhall.org "Romans, Online Bible" – ChristNotes.org "Unbound Bible 100 + languages/versions" – Biola University Epistle to the Romans Various versions
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9961_15
Other A Brief Introduction to Romans Understanding Romans 7 – www.christians.eu A Wesleyan Interpretation of Romans 5–8 – Jerry McCant Epistle to the Romans – Catholic Encyclopedia John Calvin on Romans Easton's Bible Dictionary on Romans, Epistle to the on BibleStudyTools.com Matthew Henry on Romans Romans Overview, by Mark Dever Reading Through Romans, by Michael Morrison Romans the Greatest Letter Ever Written: John Piper Book by Book: Romans, by WELS-WhatAboutJesus.com 50s 1st-century Christian texts Romans Romans Pauline epistles
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9962_0
Eleanor of Aquitaine ( – 1 April 1204; , ) was Queen of France from 1137 to 1152 as the wife of King Louis VII, Queen of England from 1154 to 1189 as the wife of King Henry II, and Duchess of Aquitaine in her own right from 1137 until her death in 1204. As the heir of the House of Poitiers, rulers in southwestern France, she was one of the wealthiest and most powerful women in western Europe during the High Middle Ages. She was patron of literary figures such as Wace, Benoît de Sainte-Maure, and Bernart de Ventadorn. She was also known to have led armies several times in her life and was a key leading figure of the unsuccessful Second Crusade. Eleanor was the daughter of William X, Duke of Aquitaine. She became duchess upon her father's death in April 1137, and three months later she married Louis, son of her guardian King Louis VI of France. A few weeks later, Prince Louis became the French king. They had two daughters, Marie and Alix. As queen of France, Eleanor participated in the unsuccessful Second Crusade. Soon afterwards, she sought an annulment of her marriage, but her request was rejected by Pope Eugene III. Eventually, Louis agreed to an annulment, as 15 years of marriage had not produced a son. The marriage was annulled on 21 March 1152 on the grounds of consanguinity within the fourth degree. Their daughters were declared legitimate, custody was awarded to Louis, and Eleanor's lands were restored to her. As soon as the annulment was granted, Eleanor became engaged to her third cousin Henry, Duke of Normandy. The couple married on Whitsun, 18 May 1152. Henry and Eleanor became king and queen of England in 1154. They had five sons and three daughters. However, Henry and Eleanor eventually became estranged. Henry imprisoned her in 1173 for supporting the revolt of their eldest son, Henry, against him. She was not released until 6 July 1189, when her husband died and their third son, Richard I, ascended the throne. As queen dowager, Eleanor acted as regent while Richard went on the Third Crusade. She lived well into the reign of her youngest son, John.
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9962_1
Early life Eleanor's year of birth is not known precisely: a late 13th-century genealogy of her family listing her as 13 years old in the spring of 1137 provides the best evidence that Eleanor was perhaps born as late as 1124. On the other hand, some chronicles mention a fidelity oath of some lords of Aquitaine on the occasion of Eleanor's fourteenth birthday in 1136. This, and her known age of 82 at her death make 1122 the most likely year of her birth. Her parents almost certainly married in 1121. Her birthplace may have been Poitiers, Bordeaux, or Nieul-sur-l'Autise, where her mother and brother died when Eleanor was 6 or 8. Eleanor (or Aliénor) was the oldest of three children of William X, Duke of Aquitaine, whose glittering ducal court was renowned in early 12th-century Europe, and his wife, Aenor de Châtellerault, the daughter of Aimery I, Viscount of Châtellerault, and Dangereuse de l'Isle Bouchard, who was William IX's longtime mistress as well as Eleanor's maternal grandmother. Her parents' marriage had been arranged by Dangereuse with her paternal grandfather WilliamIX. Eleanor is said to have been named for her mother Aenor and called Aliénor from the Latin Alia Aenor, which means the other Aenor. It became Eléanor in the langues d'oïl of northern France and Eleanor in English. There was, however, another prominent Eleanor before her—Eleanor of Normandy, an aunt of William the Conqueror, who lived a century earlier than Eleanor of Aquitaine. In Paris as the queen of France, she was called Helienordis, her honorific name as written in the Latin epistles.
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9962_2
By all accounts, Eleanor's father ensured that she had the best possible education. Eleanor came to learn arithmetic, the constellations, and history. She also learned domestic skills such as household management and the needle arts of embroidery, needlepoint, sewing, spinning, and weaving. Eleanor developed skills in conversation, dancing, games such as backgammon, checkers, and chess, playing the harp, and singing. Although her native tongue was Poitevin, she was taught to read and speak Latin, was well versed in music and literature, and schooled in riding, hawking, and hunting. Eleanor was extroverted, lively, intelligent, and strong-willed. Her four-year-old brother William Aigret and their mother died at the castle of Talmont on Aquitaine's Atlantic coast in the spring of 1130. Eleanor became the heir presumptive to her father's domains. The Duchy of Aquitaine was the largest and richest province of France. Poitou, where Eleanor spent most of her childhood, and Aquitaine together was almost one-third the size of modern France. Eleanor had only one other legitimate sibling, a younger sister named Aelith (also called Petronilla). Her half-brother Joscelin was acknowledged by WilliamX as a son, but not as his heir. The notion that she had another half-brother, William, has been discredited. Later, during the first four years of HenryII's reign, her siblings joined Eleanor's royal household. Inheritance In 1137 Duke William X left Poitiers for Bordeaux and took his daughters with him. Upon reaching Bordeaux, he left them in the charge of the archbishop of Bordeaux, one of his few loyal vassals. The duke then set out for the Shrine of Saint James of Compostela in the company of other pilgrims. However, he died on Good Friday of that year (9April).
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9962_3
Eleanor, aged 12 to 15, then became the duchess of Aquitaine, and thus the most eligible heiress in Europe. As these were the days when kidnapping an heiress was seen as a viable option for obtaining a title, William dictated a will on the very day he died that bequeathed his domains to Eleanor and appointed King Louis VI of France as her guardian. William requested of the king that he take care of both the lands and the duchess, and find her a suitable husband. However, until a husband was found, the king had the legal right to Eleanor's lands. The duke also insisted to his companions that his death be kept a secret until Louis was informed; the men were to journey from Saint James of Compostela across the Pyrenees as quickly as possible to call at Bordeaux to notify the archbishop, then to make all speed to Paris to inform the king. The king of France, known as Louis the Fat, was also gravely ill at that time, suffering from a bout of dysentery from which he appeared unlikely to recover. Yet despite his impending death, Louis's mind remained clear. His eldest surviving son, Louis, had originally been destined for monastic life, but had become the heir apparent when the firstborn, Philip, died in a riding accident in 1131. The death of William, one of the king's most powerful vassals, made available the most desirable duchy in France. While presenting a solemn and dignified face to the grieving Aquitainian messengers, Louis exulted when they departed. Rather than act as guardian to the duchess and duchy, he decided to marry the duchess to his 17-year-old heir and bring Aquitaine under the control of the French crown, thereby greatly increasing the power and prominence of France and its ruling family, the House of Capet. Within hours, the king had arranged for his son Louis to be married to Eleanor, with Abbot Suger in charge of the wedding arrangements. Louis was sent to Bordeaux with an escort of 500 knights, along with Abbot Suger, Theobald II, Count of Champagne, and Count Ralph. First marriage
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9962_4
First marriage On 25 July 1137, Eleanor and Louis were married in the Cathedral of Saint-André in Bordeaux by the archbishop of Bordeaux. Immediately after the wedding, the couple were enthroned as duke and duchess of Aquitaine. It was agreed that the land would remain independent of France until Eleanor's oldest son became both king of France and duke of Aquitaine. Thus, her holdings would not be merged with France until the next generation. As a wedding present she gave Louis a rock crystal vase {fr}, currently on display at the Louvre. Louis gave the vase to the Basilica of St Denis. This vase is the only object connected with Eleanor of Aquitaine that still survives. Louis's tenure as count of Poitou and duke of Aquitaine and Gascony lasted only a few days. Although he had been invested as such on 8 August 1137, a messenger gave him the news that Louis VI had died of dysentery on 1 August while he and Eleanor were making a tour of the provinces. He and Eleanor were anointed and crowned king and queen of France on Christmas Day of the same year. Possessing a high-spirited nature, Eleanor was not popular with the staid northerners; according to sources, Louis's mother Adelaide of Maurienne thought her flighty and a bad influence. She was not aided by memories of Constance of Arles, the Provençal wife of Robert II, tales of whose immodest dress and language were still told with horror. Eleanor's conduct was repeatedly criticised by church elders, particularly Bernard of Clairvaux and Abbot Suger, as indecorous. The king was madly in love with his beautiful and worldly bride, however, and granted her every whim, even though her behaviour baffled and vexed him. Much money went into making the austere Cité Palace in Paris more comfortable for Eleanor's sake.
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9962_5
Conflict Louis soon came into violent conflict with Pope Innocent II. In 1141, the Archbishopric of Bourges became vacant, and the king put forward as a candidate one of his chancellors, Cadurc, while vetoing the one suitable candidate, Pierre de la Chatre, who was promptly elected by the canons of Bourges and consecrated by the Pope. Louis accordingly bolted the gates of Bourges against the new bishop. The Pope, recalling similar attempts by William X to exile supporters of Innocent from Poitou and replace them with priests loyal to himself, blamed Eleanor, saying that Louis was only a child and should be taught manners. Outraged, Louis swore upon relics that so long as he lived Pierre should never enter Bourges. An interdict was thereupon imposed upon the king's lands, and Pierre was given refuge by Theobald II, Count of Champagne. Louis became involved in a war with Count Theobald by permitting Raoul I, Count of Vermandois and seneschal of France, to repudiate his wife Eleanor of Blois, Theobald's sister, and to marry Petronilla of Aquitaine, Eleanor's sister. Eleanor urged Louis to support her sister's marriage to Count Raoul. Theobald had also offended Louis by siding with the Pope in the dispute over Bourges. The war lasted two years (1142–44) and ended with the occupation of Champagne by the royal army. Louis was personally involved in the assault and burning of the town of Vitry. More than a thousand people who sought refuge in the church there died in the flames. Horrified, and desiring an end to the war, Louis attempted to make peace with Theobald in exchange for his support in lifting the interdict on Raoul and Petronilla. This was duly lifted for long enough to allow Theobald's lands to be restored; it was then lowered once more when Raoul refused to repudiate Petronilla, prompting Louis to return to Champagne and ravage it once more.
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9962_6
In June 1144, the king and queen visited the newly built monastic church at Saint-Denis. While there, the queen met with Bernard of Clairvaux, demanding that he use his influence with the Pope to have the excommunication of Petronilla and Raoul lifted, in exchange for which King Louis would make concessions in Champagne and recognise Pierre de la Chatre as archbishop of Bourges. Dismayed at her attitude, Bernard scolded Eleanor for her lack of penitence and interference in matters of state. In response, Eleanor broke down and meekly excused her behaviour, claiming to be bitter because of her lack of children (her only recorded pregnancy at that time was in about 1138, but she miscarried). In response, Bernard became more kindly towards her: "My child, seek those things which make for peace. Cease to stir up the king against the Church, and urge upon him a better course of action. If you will promise to do this, I in return promise to entreat the merciful Lord to grant you offspring." In a matter of weeks, peace had returned to France: Theobald's provinces were returned and Pierre de la Chatre was installed as archbishop of Bourges. In April 1145, Eleanor gave birth to a daughter, Marie. Louis, however, still burned with guilt over the massacre at Vitry and wished to make a pilgrimage to the Holy Land to atone for his sins. In autumn 1145, Pope Eugene III requested that Louis lead a Crusade to the Middle East to rescue the Frankish states there from disaster. Accordingly, Louis declared on Christmas Day 1145 at Bourges his intention of going on a crusade.
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9962_7
Crusade Eleanor of Aquitaine also formally took up the cross symbolic of the Second Crusade during a sermon preached by Bernard of Clairvaux. In addition, she had been corresponding with her uncle Raymond, Prince of Antioch, who was seeking further protection from the French crown against the Saracens. Eleanor recruited some of her royal ladies-in-waiting for the campaign as well as 300 non-noble Aquitainian vassals. She insisted on taking part in the Crusades as the feudal leader of the soldiers from her duchy. The story that she and her ladies dressed as Amazons is disputed by historians, sometimes confused with the account of King Conrad's train of ladies during this campaign in Edward Gibbon's The History of the Decline and Fall of the Roman Empire. She left for the Second Crusade from Vézelay, the rumoured location of Mary Magdalene's grave, in June 1147. The Crusade itself achieved little. Louis was a weak and ineffectual military leader with no skill for maintaining troop discipline or morale, or of making informed and logical tactical decisions. In eastern Europe, the French army was at times hindered by Manuel I Comnenus, the Byzantine Emperor, who feared that the Crusade would jeopardise the tenuous safety of his empire. Notwithstanding, during their three-week stay at Constantinople, Louis was fêted and Eleanor was much admired. She was compared with Penthesilea, mythical queen of the Amazons, by the Greek historian Nicetas Choniates. He added that she gained the epithet chrysopous (golden-foot) from the cloth of gold that decorated and fringed her robe. Louis and Eleanor stayed in the Philopation palace just outside the city walls.
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9962_8
From the moment the Crusaders entered Asia Minor, things began to go badly. The king and queen were still optimistic—the Byzantine Emperor had told them that King Conrad III of Germany had won a great victory against a Turkish army when in fact the German army had been almost completely destroyed at Dorylaeum. However, while camping near Nicea, the remnants of the German army, including a dazed and sick Conrad III, staggered past the French camp, bringing news of their disaster. The French, with what remained of the Germans, then began to march in increasingly disorganised fashion towards Antioch. They were in high spirits on Christmas Eve, when they chose to camp in a lush valley near Ephesus. Here they were ambushed by a Turkish detachment, but the French proceeded to slaughter this detachment and appropriate their camp. Louis then decided to cross the Phrygian mountains directly in the hope of reaching Raymond of Poitiers in Antioch more quickly. As they ascended the mountains, however, the army and the king and queen were horrified to discover the unburied corpses of the Germans killed earlier. On the day set for the crossing of Mount Cadmus, Louis chose to take charge of the rear of the column, where the unarmed pilgrims and the baggage trains marched. The vanguard, with which Queen Eleanor marched, was commanded by her Aquitainian vassal, Geoffrey de Rancon. Unencumbered by baggage, they reached the summit of Cadmus, where Rancon had been ordered to make camp for the night. Rancon, however, chose to continue on, deciding in concert with Amadeus III, Count of Savoy, Louis's uncle, that a nearby plateau would make a better campsite. Such disobedience was reportedly common.
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9962_9
Accordingly, by mid-afternoon, the rear of the column—believing the day's march to be nearly at an end—was dawdling. This resulted in the army becoming separated, with some having already crossed the summit and others still approaching it. In the ensuing Battle of Mount Cadmus, the Turks, who had been following and feinting for many days, seized their opportunity and attacked those who had not yet crossed the summit. The French, both soldiers and pilgrims, taken by surprise, were trapped. Those who tried to escape were caught and killed. Many men, horses, and much of the baggage were cast into the canyon below. The chronicler William of Tyre, writing between 1170 and 1184 and thus perhaps too long after the event to be considered historically accurate, placed the blame for this disaster firmly on the amount of baggage being carried, much of it reputedly belonging to Eleanor and her ladies, and the presence of non-combatants. The king, having scorned royal apparel in favour of a simple pilgrim's tunic, escaped notice, unlike his bodyguards, whose skulls were brutally smashed and limbs severed. He reportedly "nimbly and bravely scaled a rock by making use of some tree roots which God had provided for his safety" and managed to survive the attack. Others were not so fortunate: "No aid came from Heaven, except that night fell."
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9962_10
Official blame for the disaster was placed on Geoffrey de Rancon, who had made the decision to continue, and it was suggested that he be hanged, a suggestion which the king ignored. Since Geoffrey was Eleanor's vassal, many believed that it was she who had been ultimately responsible for the change in plan, and thus the massacre. This suspicion of responsibility did nothing for her popularity in Christendom. She was also blamed for the size of the baggage train and the fact that her Aquitanian soldiers had marched at the front and thus were not involved in the fight. Continuing on, the army became split, with the commoners marching towards Antioch and the royalty travelling by sea. When most of the land army arrived, the king and queen had a dispute. Some, such as John of Salisbury and William of Tyre, say Eleanor's reputation was sullied by rumours of an affair with her uncle Raymond. However, this rumour may have been a ruse, as Raymond, through Eleanor, had been trying to induce Louis to use his army to attack the actual Muslim encampment at nearby Aleppo, gateway to retaking Edessa, which had all along, by papal decree, been the main objective of the Crusade. Although this was perhaps a better military plan, Louis was not keen to fight in northern Syria. One of Louis's avowed Crusade goals was to journey in pilgrimage to Jerusalem, and he stated his intention to continue. Reputedly Eleanor then requested to stay with Raymond and brought up the matter of consanguinity—the fact that she and her husband, King Louis, were perhaps too closely related. Consanguinity was grounds for annulment in the medieval period. But rather than allowing her to stay, Louis took Eleanor from Antioch against her will and continued on to Jerusalem with his dwindling army.
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9962_11
Louis's refusal and his forcing her to accompany him humiliated Eleanor, and she maintained a low profile for the rest of the crusade. Louis's subsequent siege of Damascus in 1148 with his remaining army, reinforced by Conrad and Baldwin III of Jerusalem, achieved little. Damascus was a major wealthy trading centre and was under normal circumstances a potential threat, but the rulers of Jerusalem had recently entered into a truce with the city, which they then forswore. It was a gamble that did not pay off, and whether through military error or betrayal, the Damascus campaign was a failure. Louis's long march to Jerusalem and back north, which Eleanor was forced to join, debilitated his army and disheartened her knights; the divided Crusade armies could not overcome the Muslim forces, and the royal couple had to return home. The French royal family retreated to Jerusalem and then sailed to Rome and made their way back to Paris. While in the eastern Mediterranean, Eleanor learned about maritime conventions developing there, which were the beginnings of what would become admiralty law. She introduced those conventions in her own lands on the island of Oléron in 1160 (with the "Rolls of Oléron") and later in England as well. She was also instrumental in developing trade agreements with Constantinople and ports of trade in the Holy Lands. Annulment Even before the Crusade, Eleanor and Louis were becoming estranged, and their differences were only exacerbated while they were abroad. Eleanor's purported relationship with her uncle Raymond, the ruler of Antioch, was a major source of discord. Eleanor supported her uncle's desire to re-capture the nearby County of Edessa, the objective of the Crusade. In addition, having been close to him in their youth, she now showed what was considered to be "excessive affection" towards her uncle. Raymond had plans to abduct Eleanor, to which she consented.
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9962_12
Home, however, was not easily reached. Louis and Eleanor, on separate ships due to their disagreements, were first attacked in May 1149 by Byzantine ships. Although they escaped this attempt unharmed, stormy weather drove Eleanor's ship far to the south to the Barbary Coast and caused her to lose track of her husband. Neither was heard of for over two months. In mid-July, Eleanor's ship finally reached Palermo in Sicily, where she discovered that she and her husband had both been given up for dead. She was given shelter and food by servants of King Roger II of Sicily, until the king eventually reached Calabria, and she set out to meet him there. Later, at King Roger's court in Potenza, she learned of the death of her uncle Raymond, who had been beheaded by Muslim forces in the Holy Land. This news appears to have forced a change of plans, for instead of returning to France from Marseilles, they went to see Pope Eugene III in Tusculum, where he had been driven five months before by a revolt of the Commune of Rome. Eugene did not, as Eleanor had hoped, grant an annulment. Instead, he attempted to reconcile Eleanor and Louis, confirming the legality of their marriage. He proclaimed that no word could be spoken against it, and that it might not be dissolved under any pretext. He even arranged for Eleanor and Louis to sleep in the same bed. Thus was conceived their second child—not a son, but another daughter, Alix of France. The marriage was now doomed. Still without a son and in danger of being left with no male heir, as well as facing substantial opposition to Eleanor from many of his barons and her own desire for annulment, Louis bowed to the inevitable. On 11 March 1152, they met at the royal castle of Beaugency to dissolve the marriage. Hugues de Toucy, archbishop of Sens, presided, and Louis and Eleanor were both present, as were the archbishop of Bordeaux and Rouen. Archbishop Samson of Reims acted for Eleanor.
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9962_13
On 21 March, the four archbishops, with the approval of Pope Eugene, granted an annulment on grounds of consanguinity within the fourth degree; Eleanor was Louis' third cousin once removed, and shared common ancestry with Robert II of France. Their two daughters were, however, declared legitimate. Children born to a marriage that was later annulled were not at risk of being "bastardised," because "[w]here parties married in good faith, without knowledge of an impediment, ... children of the marriage were legitimate." [Berman 228.] ) Custody of them was awarded to King Louis. Archbishop Samson received assurances from Louis that Eleanor's lands would be restored to her. Second marriage As Eleanor travelled to Poitiers, two lords—Theobald V, Count of Blois, and Geoffrey, Count of Nantes, brother of Henry II, Duke of Normandy—tried to kidnap and marry her to claim her lands. As soon as she arrived in Poitiers, Eleanor sent envoys to Henry, Duke of Normandy and future king of England, asking him to come at once to marry her. On 18 May 1152 (Whit Sunday), eight weeks after her annulment, Eleanor married Henry "without the pomp and ceremony that befitted their rank." Eleanor was related to Henry even more closely than she had been to Louis: they were cousins to the third degree through their common ancestor Ermengarde of Anjou, wife of Robert I, Duke of Burgundy and Geoffrey, Count of Gâtinais, and they were also descended from King Robert II of France. A marriage between Henry and Eleanor's daughter Marie had earlier been declared impossible due to their status as third cousins once removed. It was rumoured by some that Eleanor had had an affair with Henry's own father, Geoffrey V, Count of Anjou, who had advised his son to avoid any involvement with her.
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9962_14
On 25 October 1154, Henry became king of England. A now heavily pregnant Eleanor, was crowned queen of England by Theobald of Bec, the Archbishop of Canterbury, on 19 December 1154. She may not have been anointed on this occasion, however, because she had already been anointed in 1137. Over the next 13 years, she bore Henry five sons and three daughters: William, Henry, Richard, Geoffrey, John, Matilda, Eleanor, and Joan. John Speed, in his 1611 work History of Great Britain, mentions the possibility that Eleanor had a son named Philip, who died young. His sources no longer exist, and he alone mentions this birth. Eleanor's marriage to Henry was reputed to be tumultuous and argumentative, although sufficiently cooperative to produce at least eight pregnancies. Henry was by no means faithful to his wife and had a reputation for philandering. Henry fathered other, illegitimate children throughout the marriage. Eleanor appears to have taken an ambivalent attitude towards these affairs. Geoffrey of York, for example, was an illegitimate son of Henry, but acknowledged by Henry as his child and raised at Westminster in the care of the queen. During the period from Henry's accession to the birth of Eleanor's youngest son John, affairs in the kingdom were turbulent: Aquitaine, as was the norm, defied the authority of Henry as Eleanor's husband and answered only to their duchess. Attempts were made to claim Toulouse, the rightful inheritance of Eleanor's grandmother Philippa of Toulouse, but they ended in failure. A bitter feud arose between the king and Thomas Becket, initially his chancellor and closest adviser and later the archbishop of Canterbury. Louis of France had remarried and been widowed; he married for the third time and finally fathered a long-hoped-for son, Philip Augustus, also known as Dieudonné—God-given). "Young Henry," son of Henry and Eleanor, wed Margaret, daughter of Louis from his second marriage. Little is known of Eleanor's involvement in these events. It is certain that by late 1166, Henry's notorious affair with Rosamund Clifford had become known, and Eleanor's marriage to Henry appears to have become terminally strained.
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9962_15
In 1167, Eleanor's third daughter, Matilda, married Henry the Lion of Saxony. Eleanor remained in England with her daughter for the year prior to Matilda's departure for Normandy in September. In December, Eleanor gathered her movable possessions in England and transported them on several ships to Argentan. Christmas was celebrated at the royal court there, and she appears to have agreed to a separation from Henry. She certainly left for her own city of Poitiers immediately after Christmas. Henry did not stop her; on the contrary, he and his army personally escorted her there before attacking a castle belonging to the rebellious Lusignan family. Henry then went about his own business outside Aquitaine, leaving Earl Patrick, his regional military commander, as her protective custodian. When Patrick was killed in a skirmish, Eleanor, who proceeded to ransom his captured nephew, the young William Marshal, was left in control of her lands. The Court of Love in Poitiers Of all her influence on culture, Eleanor's time in Poitiers between 1168 and 1173 was perhaps the most critical, yet very little is known about it. Henry II was elsewhere, attending to his own affairs after escorting Eleanor there. Some believe that Eleanor's court in Poitiers was the "Court of Love" where Eleanor and her daughter Marie meshed and encouraged the ideas of troubadours, chivalry, and courtly love into a single court. It may have been largely to teach manners, something the French courts would be known for in later generations. Yet the existence and reasons for this court are debated. In The Art of Courtly Love, Andreas Capellanus, Andrew the chaplain, refers to the court of Poitiers. He claims that Eleanor, her daughter Marie, Ermengarde, Viscountess of Narbonne, and Isabelle of Flanders would sit and listen to the quarrels of lovers and act as a jury to the questions of the court that revolved around acts of romantic love. He records some twenty-one cases, the most famous of them being a problem posed to the women about whether true love can exist in marriage. According to Capellanus, the women decided that it was not at all likely.
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9962_16
Some scholars believe that the "court of love" probably never existed since the only evidence for it is Andreas Capellanus' book. To strengthen their argument, they state that there is no other evidence that Marie ever stayed with her mother in Poitiers. Andreas wrote for the court of the king of France, where Eleanor was not held in esteem. Polly Schroyer Brooks, the author of a non-academic biography of Eleanor, suggests that the court did exist, but that it was not taken very seriously, and that acts of courtly love were just a "parlour game" made up by Eleanor and Marie in order to place some order over the young courtiers living there. There is no claim that Eleanor invented courtly love, for it was a concept that had begun to grow before Eleanor's court arose. All that can be said is that her court at Poitiers was most likely a catalyst for the increased popularity of courtly love literature in the Western European regions. Amy Kelly, in her article, "Eleanor of Aquitaine and Her Courts of Love," gives a very plausible description of the origins of the rules of Eleanor's court: "In the Poitevin code, man is the property, the very thing of woman; whereas a precisely contrary state of things existed in the adjacent realms of the two kings from whom the reigning duchess of Aquitaine was estranged." Revolt and capture In March 1173, aggrieved at his lack of power and egged on by Henry's enemies, his son by the same name, the younger Henry, launched the Revolt of 1173–1174. He fled to Paris. From there, "the younger Henry, devising evil against his father from every side by the advice of the French king, went secretly into Aquitaine where his two youthful brothers, Richard and Geoffrey, were living with their mother, and with her connivance, so it is said, he incited them to join him." One source claimed that the queen sent her younger sons to France "to join with him against their father the king." Once her sons had left for Paris, Eleanor may have encouraged the lords of the south to rise up and support them.
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9962_17
Sometime between the end of March and the beginning of May, Eleanor left Poitiers, but was arrested and sent to the king at Rouen. The king did not announce the arrest publicly; for the next year, the queen's whereabouts were unknown. On 8 July 1174, Henry and Eleanor took ship for England from Barfleur. As soon as they disembarked at Southampton, Eleanor was taken either to Winchester Castle or Sarum Castle and held there. Years of imprisonment 1173–1189 Eleanor was imprisoned for the next 16 years, much of the time in various locations in England. During her imprisonment, Eleanor became more and more distant from her sons, especially from Richard, who had always been her favourite. She did not have the opportunity to see her sons very often during her imprisonment, though she was released for special occasions such as Christmas. About four miles from Shrewsbury and close by Haughmond Abbey is "Queen Eleanor's Bower", the remains of a triangular castle which is believed to have been one of her prisons. Henry lost the woman reputed to be his great love, Rosamund Clifford, in 1176. He had met her in 1166 and had begun their liaison in 1173, supposedly contemplating divorce from Eleanor. This notorious affair caused a monkish scribe to transcribe Rosamund's name in Latin to "Rosa Immundi", or "Rose of Unchastity". The king had many mistresses, but although he treated earlier liaisons discreetly, he flaunted Rosamund. He may have done so to provoke Eleanor into seeking an annulment, but if so, the queen disappointed him. Nevertheless, rumours persisted, perhaps assisted by Henry's camp, that Eleanor had poisoned Rosamund. It is also speculated that Eleanor placed Rosamund in a bathtub and had an old woman cut Rosamund's arms. Henry donated much money to Godstow Nunnery in Oxfordshire, where Rosamund was buried.
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9962_18
In 1183, the young King Henry tried again to force his father to hand over some of his patrimony. In debt and refused control of Normandy, he tried to ambush his father at Limoges. He was joined by troops sent by his brother Geoffrey and Philip II of France. Henry II's troops besieged the town, forcing his son to flee. After wandering aimlessly through Aquitaine, Henry the Younger caught dysentery. On Saturday, 11 June 1183, the young king realized he was dying and was overcome with remorse for his sins. When his father's ring was sent to him, he begged that his father would show mercy to his mother, and that all his companions would plead with Henry to set her free. Henry II sent Thomas of Earley, Archdeacon of Wells, to break the news to Eleanor at Sarum. Eleanor reputedly had a dream in which she foresaw her son Henry's death. In 1193, she would tell Pope Celestine III that she was tortured by his memory. King Philip II of France claimed that certain properties in Normandy belonged to his half-sister Margaret, widow of the young Henry, but Henry insisted that they had once belonged to Eleanor and would revert to her upon her son's death. For this reason Henry summoned Eleanor to Normandy in the late summer of 1183. She stayed in Normandy for six months. This was the beginning of a period of greater freedom for the still-supervised Eleanor. Eleanor went back to England probably early in 1184. Over the next few years Eleanor often travelled with her husband and was sometimes associated with him in the government of the realm, but still had a custodian so that she was not free.
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9962_19
Widowhood Upon the death of her husband Henry II on 6 July 1189, Richard I was the undisputed heir. One of his first acts as king was to send William Marshal to England with orders to release Eleanor from prison; he found upon his arrival that her custodians had already released her. Eleanor rode to Westminster and received the oaths of fealty from many lords and prelates on behalf of the king. She ruled England in Richard's name, signing herself "Eleanor, by the grace of God, Queen of England." On 13August 1189, Richard sailed from Barfleur to Portsmouth and was received with enthusiasm. Between 1190 and 1194, Richard was absent from England, engaged in the Third Crusade from 1190 to 1192, and then held in captivity by Henry VI, Holy Roman Emperor. During Richard's absence, royal authority in England was represented by a Council of Regency in conjunction with a succession of chief justiciars—William de Longchamp (1190–1191), Walter deCoutances (1191–1193), and finally Hubert Walter. Although Eleanor held no formal office in England during this period, she arrived in England in the company of Coutances in June 1191, and for the remainder of Richard's absence, she exercised a considerable degree of influence over the affairs of England as well as the conduct of Prince John. Eleanor played a key role in raising the ransom demanded from England by HenryVI and in the negotiations with the Holy Roman Emperor that eventually secured Richard's release. Evidence of the influence she wielded can also be found within the numerous letters she wrote to Pope Celestine III regarding Richard's captivity. Her letter dated 1193, presents her strong expressions of personal suffering as a result of Richard's captivity and informs the Pope that in her grief she is "wasted away by sorrow".
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9962_20
Eleanor survived Richard and lived well into the reign of her youngest son, King John. In 1199, under the terms of a truce between King PhilipII and King John, it was agreed that Philip's 12-year-old heir-apparent Louis would be married to one of John's nieces, daughters of his sister Eleanor of England, queen of Castile. John instructed his mother to travel to Castile to select one of the princesses. Now 77, Eleanor set out from Poitiers. Just outside Poitiers she was ambushed and held captive by Hugh IX of Lusignan, whose lands had been sold to HenryII by his forebears. Eleanor secured her freedom by agreeing to his demands. She continued south, crossed the Pyrenees, and travelled through the kingdoms of Navarre and Castile, arriving in Castile before the end of January 1200. Eleanor's daughter, Queen Eleanor of Castile, had two remaining unmarried daughters, Urraca and Blanche. Eleanor selected the younger daughter, Blanche. She stayed for two months at the Castilian court, then late in March journeyed with granddaughter Blanche back across the Pyrenees. She celebrated Easter in Bordeaux, where the famous warrior Mercadier came to her court. It was decided that he would escort the queen and princess north. "On the second day in Easter week, he was slain in the city by a man-at-arms in the service of Brandin," a rival mercenary captain. This tragedy was too much for the elderly queen, who was fatigued and unable to continue to Normandy. She and Blanche rode in easy stages to the valley of the Loire, and she entrusted Blanche to the archbishop of Bordeaux, who took over as her escort. The exhausted Eleanor went to Fontevraud, where she remained. In early summer, Eleanor was ill, and John visited her at Fontevraud.
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9962_21
Eleanor was again unwell in early 1201. When war broke out between John and Philip, Eleanor declared her support for John and set out from Fontevraud to her capital Poitiers to prevent her grandson Arthur I, Duke of Brittany, posthumous son of Eleanor's son Geoffrey and John's rival for the English throne, from taking control. Arthur learned of her whereabouts and besieged her in the castle of Mirebeau. As soon as John heard of this, he marched south, overcame the besiegers, and captured the 15-year-old Arthur, and probably his sister Eleanor, Fair Maid of Brittany, whom Eleanor had raised with Richard. Eleanor then returned to Fontevraud where she took the veil as a nun. Eleanor died in 1204 and was entombed in Fontevraud Abbey next to her husband Henry and her son Richard. Her tomb effigy shows her reading a Bible and is decorated with representations of magnificent jewellery; such effigies were rare, and Eleanor's is one of the finest of the few that survive from this period. However, during the French Revolution the abbey of Fontevraud was sacked and the tombs were disturbed and vandalised - consequently the bones of Eleanor, Henry, Richard, Joana and Isabella of Angoulême were exhumed and scattered, never to be recovered. By the time of her death she had outlived all of her children except for King John of England and Queen Eleanor of Castile. Appearance Contemporary sources praise Eleanor's beauty. Even in an era when ladies of the nobility were excessively praised, their praise of her was undoubtedly sincere. When she was young, she was described as perpulchra—more than beautiful. When she was around 30, Bernard de Ventadour, a noted troubadour, called her "gracious, lovely, the embodiment of charm," extolling her "lovely eyes and noble countenance" and declaring that she was "one meet to crown the state of any king." William of Newburgh emphasised the charms of her person, and even in her old age Richard of Devizes described her as beautiful, while Matthew Paris, writing in the 13thcentury, recalled her "admirable beauty."
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9962_22
In spite of all these words of praise, no one left a more detailed description of Eleanor; the colour of her hair and eyes, for example, are unknown. The effigy on her tomb shows a tall and large-boned woman with brown skin, though this may not be an accurate representation. Her seal of shows a woman with a slender figure, but this is probably an impersonal image. Popular culture Art Judy Chicago's artistic installation The Dinner Party features a place setting for Eleanor, and she was portrayed by Frederick Sandys in his 1858 painting, Queen Eleanor. Books and dramas Henry and Eleanor are the main characters in James Goldman's 1966 play The Lion in Winter, which was made into a film in 1968 starring Peter O'Toole as Henry and Katharine Hepburn in the role of Eleanor, for which she won the Academy Award for Best Actress and the BAFTA Award for Best Actress in a Leading Role and was nominated for the Golden Globe Award for Best Actress – Motion Picture Drama. Jean Plaidy's novel The Courts of Love, fifth in the 'Queens of England' series, is a fictionalised autobiography of Eleanor of Aquitaine. Norah Lofts wrote a fictionalized biography of her, entitled in various editions Queen in Waiting or Eleanor the Queen, and including some romanticized episodes—starting off with the young Eleanor planning to elope with a young knight, who is killed out of hand by her guardian, in order to facilitate her marriage to the King's son. The character Queen Elinor appears in William Shakespeare's The Life and Death of King John, with other members of the family. On television, she has been portrayed in this play by Una Venning in the BBC Sunday Night Theatre version (1952) and by Mary Morris in the BBC Shakespeare version (1984). Eleanor features in the novel Via Crucis (1899) by F. Marion Crawford. Eleanor serves as an important allegorical figure in Ezra Pound's early Cantos.
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9962_23
In Sharon Kay Penman's Plantagenet novels, she figures prominently in When Christ and His Saints Slept, Time and Chance, and Devil's Brood, and also appears in Lionheart and A King's Ransom, both of which focus on the reign of her son, Richard, as king of England. Eleanor also appears briefly in the first novel of Penman's Welsh trilogy, Here Be Dragons. In Penman's historical mysteries, Eleanor, as Richard's regent, sends squire Justin de Quincy on various missions, often an investigation of a situation involving Prince John. The four published mysteries are the Queen's Man, Cruel as the Grave, Dragon's Lair, and Prince of Darkness. Eleanor is the subject of A Proud Taste for Scarlet and Miniver, a children's novel by E.L. Konigsburg. Historical fiction author Elizabeth Chadwick wrote a three-volume series about Eleanor: The Summer Queen (2013), The Winter Crown (2014) and The Autumn Throne (2016). In The Merry Adventures of Robin Hood, Howard Pyle, retelling the ballad Robin Hood and Queen Katherine, made the queen Queen Eleanor to fit historically with the rest of the work. She has also been introduced in The Royal Diaries series in the book "Crown Jewel of Aquitaine" by Kristiana Gregory. She is a supporting character in Matrix by Lauren Groff. Film, radio and television Eleanor has featured in a number of screen versions of the Ivanhoe and Robin Hood stories. She has been played by Martita Hunt in The Story of Robin Hood and His Merrie Men (1952), Jill Esmond in the British TV adventure series The Adventures of Robin Hood (1955–1960), Phyllis Neilson-Terry in the British TV adventure series Ivanhoe (1958), Yvonne Mitchell in the BBC TV drama series The Legend of Robin Hood (1975), Siân Phillips in the TV series Ivanhoe (1997), and Tusse Silberg in the TV series The New Adventures of Robin Hood (1997). She was portrayed by Lynda Bellingham in the BBC series Robin Hood. Most recently, she was portrayed by Eileen Atkins in Robin Hood (2010). In the 1964 film Becket, Eleanor is briefly played by Pamela Brown to Peter O'Toole's first performance as a young Henry II.
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9962_24
In the 1968 film The Lion in Winter, Eleanor is played by Katharine Hepburn, who won the third of her four Academy Awards for Best Actress for her portrayal, and Henry again is portrayed by O'Toole. The film is about the difficult relationship between them and the struggle of their three sons Richard, Geoffrey, and John for their father's favour and the succession. In the 2003 television film version, Eleanor was played by Glenn Close alongside Patrick Stewart as Henry. She was portrayed by Mary Clare in the silent film Becket (1923), by Prudence Hyman in Richard the Lionheart (1962), and twice by Jane Lapotaire in the BBC TV drama series The Devil's Crown (1978) and again in Mike Walker's BBC Radio 4 series Plantagenet (2010). In the 2014 film Richard the Lionheart: Rebellion, Eleanor is played by Debbie Rochon. Her life was portrayed on BBC Radio 4 in the drama series Eleanor Rising, with Rose Basista as Eleanor and Joel MacCormack as King Louis. The first series of five 15-minute episodes was broadcast in November 2020 and the second series in April 2021. Music Eleanor and Rosamund Clifford, as well as Henry IIand Rosamund's father, appear in Gaetano Donizetti's opera Rosmonda d'Inghilterra (libretto by Felice Romani), which was premiered in Florence, at the Teatro Pergola, in 1834. Eleanor of Aquitaine is thought to be the queen of England mentioned in the poem "Were diu werlt alle min," used as the tenth movement of Carl Orff's famous cantata, Carmina Burana. Flower and Hawk is a monodrama for soprano and orchestra, written by American composer, Carlisle Floyd that premiered in 1972, in which the soprano (Eleanor of Aquitaine) relives past memories of her time as queen, and at the end of the monodrama, hears the bells that toll for Henry II's death, and in turn, her freedom. Queen Elanor's Confession, or Queen Eleanor's Confession, is Child ballad 156. Although the figures are intended as Eleanor of Aquitaine, Henry II of England, and William Marshall, the story is an entire invention.
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Video games In the 2019 video game expansion Civilization VI: Gathering Storm, Eleanor is a playable leader for the English and French civilizations. Issue See also List of longest-reigning monarchs Grandmother of Europe, sobriquet of Eleanor of Aquitaine and others References Notes Citations Bibliography (for young readers) ; ; ; Further reading ; External links The Eleanor Vase preserved at the Louvre (en) |- |- |- |- 1122 births 1204 deaths 12th-century French people 13th-century French people 12th-century English people 13th-century English people 12th-century French women 13th-century French women 12th-century English women 13th-century English women 12th-century viceregal rulers 12th-century women rulers 13th-century women rulers Women in 12th-century warfare French queens consort English royal consorts Countesses of Anjou Countesses of Maine Counts of Poitiers Duchesses of Normandy Dukes of Gascony Duchesses of Aquitaine House of Poitiers French patrons of literature Christians of the Second Crusade People from Aquitaine Regents of England Burials at Fontevraud Abbey Henry II of England Women in medieval European warfare Robin Hood characters Women in war in the Middle East Remarried royal consorts
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9963_0
The Epistle of Paul to Philemon, known simply as Philemon, is one of the books of the Christian New Testament. It is a prison letter, co-authored by Paul the Apostle with Timothy, to Philemon, a leader in the Colossian church. It deals with the themes of forgiveness and reconciliation. Paul does not identify himself as an apostle with authority, but as "a prisoner of Jesus Christ", calling Timothy "our brother", and addressing Philemon as "fellow labourer" and "brother" (). Onesimus, a slave that had departed from his master Philemon, was returning with this epistle wherein Paul asked Philemon to receive him as a "brother beloved"(). Philemon was a wealthy Christian, possibly a bishop of the house church that met in his home () in Colossae. This letter is now generally regarded as one of the undisputed works of Paul. It is the shortest of Paul's extant letters, consisting of only 335 words in the Greek text. Composition The Epistle to Philemon was composed around 57-62 A.D by Paul while in prison at Caesarea Maritima (early date) or more likely from Rome (later date) in conjunction with the composition of Colossians. Authorship The epistle of Philemon is attributed to the apostle Paul, and this attribution has rarely been questioned by scholars. Along with six others, it is numbered among the "undisputed letters", which are widely considered to be authentically Pauline. The main challenge to the letter's authenticity came from a group of German scholars in the nineteenth century known as the Tübingen School. Their leader, Ferdinand Christian Baur, only accepted four New Testament epistles as genuinely written by Paul: Romans, 1 and 2 Corinthians and Galatians. Commenting on Philemon, Baur described the subject matter as "so very singular as to arouse our suspicions," and concluded that it is perhaps a "Christian romance serving to convey a genuine Christian idea." The opening verse of the salutation also names Timothy alongside Paul. This, however, does not mean that Timothy was the epistle's co-author. Rather, Paul regularly mentions others in the address if they have a particular connection with the recipient. In this case, Timothy may have encountered Philemon while accompanying Paul in his work in Ephesus.
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9963_1
Occasion According to the majority interpretation, Paul wrote this letter on behalf of Onesimus, a runaway slave who had wronged his owner Philemon. The details of the offence are unstated, although it is often assumed that Onesimus had fled after stealing money, as Paul states in verse 18 that if Onesimus owes anything, Philemon should charge this to Paul's account. Sometime after leaving, Onesimus came into contact with Paul, although again the details are unclear. He may have been arrested and imprisoned alongside Paul. Alternatively, he may have previously heard Paul's name (as his owner was a Christian) and so travelled to him for help. After meeting Paul, Onesimus became a Christian believer. An affection grew between them, and Paul would have been glad to keep Onesimus with him. However, he considered it better to send him back to Philemon with an accompanying letter, which aimed to effect reconciliation between them as Christian brothers. The preservation of the letter suggests that Paul's request was granted. Onesimus' status as a runaway slave was challenged by Allen Dwight Callahan in an article published in the Harvard Theological Review and in a later commentary. Callahan argues that, beyond verse 16, "nothing in the text conclusively indicates that Onesimus was ever the chattel of the letter's chief addressee. Moreover, the expectations fostered by the traditional fugitive slave hypothesis go unrealized in the letter. Modern commentators, even those committed to the prevailing interpretation, have tacitly admitted as much." Callahan argues that the earliest commentators on this work – the homily of Origen and the Anti-Marcion Preface – are silent about Onesimus' possible servile status, and traces the origins of this interpretation to John Chrysostom, who proposed it in his Homiliae in epistolam ad Philemonem, during his ministry in Antioch, circa 386–398. In place of the traditional interpretation, Callahan suggests that Onesimus and Philemon are brothers both by blood and religion, but who have become estranged, and the intent of this letter was to reconcile the two men. Ben Witherington III has challenged Callahan's interpretation as a misreading of Paul's rhetoric. Further, Margaret M. Mitchell has demonstrated that a number of writers before Chrysostom either argue or assume that Onesimus was a runaway slave, including Athanasius, Basil of Caesarea and Ambrosiaster.
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9963_2
The only extant information about Onesimus apart from this letter is found in Paul's epistle to the Colossians 4:7–9, where Onesimus is called "a faithful and beloved brother": Recipient The letter is addressed to Philemon, Apphia and Archippus, and the church in Philemon's house. Philemon is described as a "fellow worker" of Paul. It is generally assumed that he lived in Colossae; in the letter to the Colossians, Onesimus (the slave who fled from Philemon) and Archippus (whom Paul greets in the letter to Philemon) are described as members of the church there. Philemon may have converted to Christianity through Paul's ministry, possibly in Ephesus. Apphia in the salutation is probably Philemon's wife. Some have speculated that Archippus, described by Paul as a "fellow soldier", is the son of Philemon and Apphia. The American John Knox proposed that Onesimus' owner was in fact Archippus, and the letter was addressed to him rather than Philemon. In this reconstruction, Philemon would receive the letter first and then encourage Archippus to release Onesimus so that he could work alongside Paul. This view, however, has not found widespread support. In particular, Knox's view has been challenged on the basis of the opening verses. According to O'Brien, the fact that Philemon's name is mentioned first, together with the use of the phrase "in your house" in verse 2, makes it unlikely that Archippus was the primary addressee. Knox further argued that the letter was intended to be read aloud in the Colossian church in order to put pressure on Archippus. A number of commentators, however, see this view as contradicting the tone of the letter. J. B. Lightfoot, for example, wrote: "The tact and delicacy of the Apostle's pleading for Onesimus would be nullified at one stroke by the demand for publication." Content
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9963_3
Content Greeting and introduction (1–3) The opening salutation follows a typical pattern found in other Pauline letters. Paul first introduces himself, with a self-designation as a "prisoner of Jesus Christ," which in this case refers to a physical imprisonment. He also mentions his associate Timothy, as a valued colleague who was presumably known to the recipient. As well as addressing the letter to Philemon, Paul sends greetings to Apphia, Archippus and the church that meets in Philemon's house. Apphia is often presumed to be Philemon's wife and Archippus, a "fellow labourer", is sometimes suggested to be their son. Paul concludes his salutation with a prayerful wish for grace and peace. Thanksgiving and intercession (4–7) Before addressing the main topic of the letter, Paul continues with a paragraph of thanksgiving and intercession. This serves to prepare the ground for Paul's central request. He gives thanks to God for Philemon's love and faith and prays for his faith to be effective. He concludes this paragraph by describing the joy and comfort he has received from knowing how Philemon has shown love towards the Christians in Colossae. Paul's plea for Onesimus (8–20) As a background to his specific plea for Onesimus, Paul clarifies his intentions and circumstances. Although he has the boldness to command Philemon to do what would be right in the circumstances, he prefers to base his appeal on his knowledge of Philemon's love and generosity. He also describes the affection he has for Onesimus and the transformation that has taken place with Onesimus's conversion to the Christian faith. Where Onesimus was "useless", now he is "useful" – a wordplay, as Onesimus means "useful". Paul indicates that he would have been glad to keep Onesimus with him, but recognised that it was right to send him back. Paul's specific request is for Philemon to welcome Onesimus as he would welcome Paul, namely as a Christian brother. He offers to pay for any debt created by Onesimus' departure and expresses his desire that Philemon might refresh his heart in Christ.
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9963_4
Conclusion and greetings (21–25) In the final section of the letter, Paul describes his confidence that Philemon would do even more than he had requested, perhaps indicating his desire for Onesimus to return to work alongside him. He also mentions his wish to visit and asks Philemon to prepare a guest room. Paul sends greetings from five of his co-workers and concludes the letter with a benediction. Themes Paul uses slavery vs. freedom language more often in his writings as a metaphor. At this time slavery was common, and can be seen as a theme in the book of Philemon. Slavery was most commonly found in households. This letter, seemingly, provided alleviation of suffering of some slaves due to the fact that Paul placed pastoral focus on the issue. Although it is a main theme, Paul does not label slavery as negative or positive. Rather than deal with the morality of slavery directly, he undermines the foundation of slavery which is dehumanization of other human beings. Some scholars, but not Paul, see it as unthinkable in the times to even question ending slavery. Because slavery was so ingrained into society that the “abolitionist would have been at the same time an insurrectionist, and the political effects of such a movement would have been unthinkable. " Paul viewed slavery as an example of a human institution of dehumanization, and believed that all human institutions were about to fade away. This may be because Paul had the perspective that Jesus would return soon. Paul viewed his present world as something that was swiftly passing away. This is a part of Pauline Christianity and theology.
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9963_5
When it comes to Onesimus and his circumstance as a slave, Paul felt that Onesimus should return to Philemon but not as a slave; rather, under a bond of familial love. Paul also was not suggesting that Onesimus be punished, in spite of the fact that Roman law allowed the owner of a runaway slave nearly unlimited privileges of punishment, even execution. This is a concern of Paul and a reason he is writing to Philemon, asking that Philemon accept Onesimus back in a bond of friendship, forgiveness, and reconciliation. Paul is undermining this example of a human institution which dehumanizes people. We see this in many of Paul's other epistles, including his letters to the Corinthians, delivering the message of unity with others and unity with Christ – a change of identity. As written in Sacra Pagina Philippians and Philemon, the move from slave to freedman has to do with a shift in “standing under the lordship of Jesus Christ”. So in short, Onesimus’ honor and obedience is not claimed by Philemon, but by Christ. Verses 13–14 suggest that Paul wants Philemon to send Onesimus back to Paul (possibly freeing him for the purpose). Marshall, Travis and Paul write, "Paul hoped that it might be possible for [Onesimus] to spend some time with him as a missionary colleague.... If that is not a request for Onesimus to join Paul’s circle, I do not know what more would need to be said". Significance Sarah Ruden, in her Paul Among the People (2010), argues that in the letter to Philemon, Paul created the Western conception of the individual human being, "unconditionally precious to God and therefore entitled to the consideration of other human beings." Before Paul, Ruden argues, a slave was considered subhuman, and entitled to no more consideration than an animal. Diarmaid MacCulloch, in his A History of Christianity, described the epistle as "a Christian foundation document in the justification of slavery".
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9963_6
In order to better appreciate the Book of Philemon, it is necessary to be aware of the situation of the early Christian community in the Roman Empire; and the economic system of Classical Antiquity based on slavery. According to the Epistle to Diognetus: For the Christians are distinguished from other men neither by country, nor language, nor the customs which they observe... They are in the flesh, but they do not live after the flesh. They pass their days on earth, but they are citizens of heaven. They obey the prescribed laws, and at the same time surpass the laws by their lives. Pope Benedict XVI refers to this letter in the Encyclic, Spe salvi, highlighting the power of Christianity as power of the transformation of society. In fact Christianity was decisive to the virtual disappearance of slavery during the Middle Ages: See also Textual variants in the Epistle to Philemon Christian views on slavery Letter 47 (Seneca) Notes References Sources Further reading J. M. G. Barclay, Colossians and Philemon, Sheffield Academic Press, 1997 N. T. Wright, Colossians and Philemon, Tyndale IVP, 1986 External links (full English translation, King James version) Various versions 1st-century Christian texts Philemon Pauline epistles Prison writings Philemon 1st-century Christianity Slavery in ancient Rome
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9966_0
Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security. Elliptic curves are applicable for key agreement, digital signatures, pseudo-random generators and other tasks. Indirectly, they can be used for encryption by combining the key agreement with a symmetric encryption scheme. Elliptic curves are also used in several integer factorization algorithms based on elliptic curves that have applications in cryptography, such as Lenstra elliptic-curve factorization. Rationale Public-key cryptography is based on the intractability of certain mathematical problems. Early public-key systems based their security on the assumption that it is difficult to factor a large integer composed of two or more large prime factors. For later elliptic-curve-based protocols, the base assumption is that finding the discrete logarithm of a random elliptic curve element with respect to a publicly known base point is infeasible: this is the "elliptic curve discrete logarithm problem" (ECDLP). The security of elliptic curve cryptography depends on the ability to compute a point multiplication and the inability to compute the multiplicand given the original and product points. The size of the elliptic curve, measured by the total number of discrete integer pairs satisfying the curve equation, determines the difficulty of the problem. The U.S. National Institute of Standards and Technology (NIST) has endorsed elliptic curve cryptography in its Suite B set of recommended algorithms, specifically elliptic-curve Diffie–Hellman (ECDH) for key exchange and Elliptic Curve Digital Signature Algorithm (ECDSA) for digital signature. The U.S. National Security Agency (NSA) allows their use for protecting information classified up to top secret with 384-bit keys. However, in August 2015, the NSA announced that it plans to replace Suite B with a new cipher suite due to concerns about quantum computing attacks on ECC.
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9966_1
While the RSA patent expired in 2000, there may be patents in force covering certain aspects of ECC technology. However some argue that the US government elliptic curve digital signature standard (ECDSA; NIST FIPS 186-3) and certain practical ECC-based key exchange schemes (including ECDH) can be implemented without infringing them, including RSA Laboratories and Daniel J. Bernstein. The primary benefit promised by elliptic curve cryptography is a smaller key size, reducing storage and transmission requirements, i.e. that an elliptic curve group could provide the same level of security afforded by an RSA-based system with a large modulus and correspondingly larger key: for example, a 256-bit elliptic curve public key should provide comparable security to a 3072-bit RSA public key. History The use of elliptic curves in cryptography was suggested independently by Neal Koblitz and Victor S. Miller in 1985. Elliptic curve cryptography algorithms entered wide use in 2004 to 2005. Theory For current cryptographic purposes, an elliptic curve is a plane curve over a finite field (rather than the real numbers) which consists of the points satisfying the equation: along with a distinguished point at infinity, denoted ∞. The coordinates here are to be chosen from a fixed finite field of characteristic not equal to 2 or 3, or the curve equation will be somewhat more complicated. This set together with the group operation of elliptic curves is an abelian group, with the point at infinity as an identity element. The structure of the group is inherited from the divisor group of the underlying algebraic variety:
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9966_2
Cryptographic schemes Several discrete logarithm-based protocols have been adapted to elliptic curves, replacing the group with an elliptic curve: The Elliptic Curve Diffie–Hellman (ECDH) key agreement scheme is based on the Diffie–Hellman scheme, The Elliptic Curve Integrated Encryption Scheme (ECIES), also known as Elliptic Curve Augmented Encryption Scheme or simply the Elliptic Curve Encryption Scheme, The Elliptic Curve Digital Signature Algorithm (ECDSA) is based on the Digital Signature Algorithm, The deformation scheme using Harrison's p-adic Manhattan metric, The Edwards-curve Digital Signature Algorithm (EdDSA) is based on Schnorr signature and uses twisted Edwards curves, The ECMQV key agreement scheme is based on the MQV key agreement scheme, The ECQV implicit certificate scheme. At the RSA Conference 2005, the National Security Agency (NSA) announced Suite B which exclusively uses ECC for digital signature generation and key exchange. The suite is intended to protect both classified and unclassified national security systems and information. Recently, a large number of cryptographic primitives based on bilinear mappings on various elliptic curve groups, such as the Weil and Tate pairings, have been introduced. Schemes based on these primitives provide efficient identity-based encryption as well as pairing-based signatures, signcryption, key agreement, and proxy re-encryption. Implementation Some common implementation considerations include:
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9966_3
Implementation Some common implementation considerations include: Domain parameters To use ECC, all parties must agree on all the elements defining the elliptic curve, that is, the domain parameters of the scheme. The size of the field used is typically either prime (and denoted as p) or is a power of two (); the latter case is called the binary case, and also necessitates the choice of an auxiliary curve denoted by f. Thus the field is defined by p in the prime case and the pair of m and f in the binary case. The elliptic curve is defined by the constants a and b used in its defining equation. Finally, the cyclic subgroup is defined by its generator (a.k.a. base point) G. For cryptographic application the order of G, that is the smallest positive number n such that (the point at infinity of the curve, and the identity element), is normally prime. Since n is the size of a subgroup of it follows from Lagrange's theorem that the number is an integer. In cryptographic applications this number h, called the cofactor, must be small () and, preferably, . To summarize: in the prime case, the domain parameters are ; in the binary case, they are . Unless there is an assurance that domain parameters were generated by a party trusted with respect to their use, the domain parameters must be validated before use. The generation of domain parameters is not usually done by each participant because this involves computing the number of points on a curve which is time-consuming and troublesome to implement. As a result, several standard bodies published domain parameters of elliptic curves for several common field sizes. Such domain parameters are commonly known as "standard curves" or "named curves"; a named curve can be referenced either by name or by the unique object identifier defined in the standard documents: NIST, Recommended Elliptic Curves for Government Use SECG, SEC 2: Recommended Elliptic Curve Domain Parameters ECC Brainpool (RFC 5639), ECC Brainpool Standard Curves and Curve Generation SECG test vectors are also available. NIST has approved many SECG curves, so there is a significant overlap between the specifications published by NIST and SECG. EC domain parameters may be either specified by value or by name.
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9966_4
If one (despite the above) wants to construct one's own domain parameters, one should select the underlying field and then use one of the following strategies to find a curve with appropriate (i.e., near prime) number of points using one of the following methods: Select a random curve and use a general point-counting algorithm, for example, Schoof's algorithm or the Schoof–Elkies–Atkin algorithm, Select a random curve from a family which allows easy calculation of the number of points (e.g., Koblitz curves), or Select the number of points and generate a curve with this number of points using the complex multiplication technique. Several classes of curves are weak and should be avoided: Curves over with non-prime m are vulnerable to Weil descent attacks. Curves such that n divides (where p is the characteristic of the field: q for a prime field, or for a binary field) for sufficiently small B are vulnerable to Menezes–Okamoto–Vanstone (MOV) attack which applies usual discrete logarithm problem (DLP) in a small-degree extension field of to solve ECDLP. The bound B should be chosen so that discrete logarithms in the field are at least as difficult to compute as discrete logs on the elliptic curve . Curves such that are vulnerable to the attack that maps the points on the curve to the additive group of . Key sizes Because all the fastest known algorithms that allow one to solve the ECDLP (baby-step giant-step, Pollard's rho, etc.), need steps, it follows that the size of the underlying field should be roughly twice the security parameter. For example, for 128-bit security one needs a curve over , where . This can be contrasted with finite-field cryptography (e.g., DSA) which requires 3072-bit public keys and 256-bit private keys, and integer factorization cryptography (e.g., RSA) which requires a 3072-bit value of n, where the private key should be just as large. However, the public key may be smaller to accommodate efficient encryption, especially when processing power is limited.
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9966_5
The hardest ECC scheme (publicly) broken to date had a 112-bit key for the prime field case and a 109-bit key for the binary field case. For the prime field case, this was broken in July 2009 using a cluster of over 200 PlayStation 3 game consoles and could have been finished in 3.5 months using this cluster when running continuously. The binary field case was broken in April 2004 using 2600 computers over 17 months. A current project is aiming at breaking the ECC2K-130 challenge by Certicom, by using a wide range of different hardware: CPUs, GPUs, FPGA. Projective coordinates A close examination of the addition rules shows that in order to add two points, one needs not only several additions and multiplications in but also an inversion operation. The inversion (for given find such that ) is one to two orders of magnitude slower than multiplication. However, points on a curve can be represented in different coordinate systems which do not require an inversion operation to add two points. Several such systems were proposed: in the projective system each point is represented by three coordinates using the following relation: , ; in the Jacobian system a point is also represented with three coordinates , but a different relation is used: , ; in the López–Dahab system the relation is , ; in the modified Jacobian system the same relations are used but four coordinates are stored and used for calculations ; and in the Chudnovsky Jacobian system five coordinates are used . Note that there may be different naming conventions, for example, IEEE P1363-2000 standard uses "projective coordinates" to refer to what is commonly called Jacobian coordinates. An additional speed-up is possible if mixed coordinates are used. Fast reduction (NIST curves) Reduction modulo p (which is needed for addition and multiplication) can be executed much faster if the prime p is a pseudo-Mersenne prime, that is ; for example, or Compared to Barrett reduction, there can be an order of magnitude speed-up. The speed-up here is a practical rather than theoretical one, and derives from the fact that the moduli of numbers against numbers near powers of two can be performed efficiently by computers operating on binary numbers with bitwise operations.
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9966_6
The curves over with pseudo-Mersenne p are recommended by NIST. Yet another advantage of the NIST curves is that they use a = −3, which improves addition in Jacobian coordinates. According to Bernstein and Lange, many of the efficiency-related decisions in NIST FIPS 186-2 are sub-optimal. Other curves are more secure and run just as fast. Applications Elliptic curves are applicable for encryption, digital signatures, pseudo-random generators and other tasks. They are also used in several integer factorization algorithms that have applications in cryptography, such as Lenstra elliptic-curve factorization. In 1999, NIST recommended fifteen elliptic curves. Specifically, FIPS 186-4 has ten recommended finite fields: Five prime fields for certain primes p of sizes 192, 224, 256, 384, and bits. For each of the prime fields, one elliptic curve is recommended. Five binary fields for m equal 163, 233, 283, 409, and 571. For each of the binary fields, one elliptic curve and one Koblitz curve was selected. The NIST recommendation thus contains a total of five prime curves and ten binary curves. The curves were ostensibly chosen for optimal security and implementation efficiency. In 2013, The New York Times stated that Dual Elliptic Curve Deterministic Random Bit Generation (or Dual_EC_DRBG) had been included as a NIST national standard due to the influence of NSA, which had included a deliberate weakness in the algorithm and the recommended elliptic curve. RSA Security in September 2013 issued an advisory recommending that its customers discontinue using any software based on Dual_EC_DRBG. In the wake of the exposure of Dual_EC_DRBG as "an NSA undercover operation", cryptography experts have also expressed concern over the security of the NIST recommended elliptic curves, suggesting a return to encryption based on non-elliptic-curve groups. Elliptic curve cryptography is used by the cryptocurrency Bitcoin. Ethereum version 2.0 makes extensive use of elliptic curve pairs using BLS signatures—as specified in the IETF draft BLS specification—for cryptographically assuring that a specific Eth2 validator has actually verified a particular transaction. Security
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9966_7
Security Side-channel attacks Unlike most other DLP systems (where it is possible to use the same procedure for squaring and multiplication), the EC addition is significantly different for doubling (P = Q) and general addition (P ≠ Q) depending on the coordinate system used. Consequently, it is important to counteract side-channel attacks (e.g., timing or simple/differential power analysis attacks) using, for example, fixed pattern window (a.k.a. comb) methods (note that this does not increase computation time). Alternatively one can use an Edwards curve; this is a special family of elliptic curves for which doubling and addition can be done with the same operation. Another concern for ECC-systems is the danger of fault attacks, especially when running on smart cards. Backdoors Cryptographic experts have expressed concerns that the National Security Agency has inserted a kleptographic backdoor into at least one elliptic curve-based pseudo random generator. Internal memos leaked by former NSA contractor Edward Snowden suggest that the NSA put a backdoor in the Dual EC DRBG standard. One analysis of the possible backdoor concluded that an adversary in possession of the algorithm's secret key could obtain encryption keys given only 32 bytes of PRNG output. The SafeCurves project has been launched in order to catalog curves that are easy to securely implement and are designed in a fully publicly verifiable way to minimize the chance of a backdoor. Quantum computing attacks Shor's algorithm can be used to break elliptic curve cryptography by computing discrete logarithms on a hypothetical quantum computer. The latest quantum resource estimates for breaking a curve with a 256-bit modulus (128-bit security level) are 2330 qubits and 126 billion Toffoli gates. In comparison, using Shor's algorithm to break the RSA algorithm requires 4098 qubits and 5.2 trillion Toffoli gates for a 2048-bit RSA key, suggesting that ECC is an easier target for quantum computers than RSA. All of these figures vastly exceed any quantum computer that has ever been built, and estimates place the creation of such computers at a decade or more away.
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9966_8
Supersingular Isogeny Diffie–Hellman Key Exchange provides a post-quantum secure form of elliptic curve cryptography by using isogenies to implement Diffie–Hellman key exchanges. This key exchange uses much of the same field arithmetic as existing elliptic curve cryptography and requires computational and transmission overhead similar to many currently used public key systems. In August 2015, the NSA announced that it planned to transition "in the not distant future" to a new cipher suite that is resistant to quantum attacks. "Unfortunately, the growth of elliptic curve use has bumped up against the fact of continued progress in the research on quantum computing, necessitating a re-evaluation of our cryptographic strategy." Invalid curve attack When ECC is used in virtual machines, an attacker may use an invalid curve to get a complete PDH private key. Patents At least one ECC scheme (ECMQV) and some implementation techniques are covered by patents. Alternative representations Alternative representations of elliptic curves include: Hessian curves Edwards curves Twisted curves Twisted Hessian curves Twisted Edwards curve Doubling-oriented Doche–Icart–Kohel curve Tripling-oriented Doche–Icart–Kohel curve Jacobian curve Montgomery curves See also Cryptocurrency Curve25519 FourQ DNSCurve RSA (cryptosystem) ECC patents Elliptic curve Diffie-Hellman (ECDH) Elliptic Curve Digital Signature Algorithm (ECDSA) EdDSA ECMQV Elliptic curve point multiplication Homomorphic Signatures for Network Coding Hyperelliptic curve cryptography Pairing-based cryptography Public-key cryptography Quantum cryptography Supersingular isogeny key exchange Notes References
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9966_9
Notes References Standards for Efficient Cryptography Group (SECG), SEC 1: Elliptic Curve Cryptography, Version 1.0, September 20, 2000. (archived as if Nov 11, 2014) D. Hankerson, A. Menezes, and S.A. Vanstone, Guide to Elliptic Curve Cryptography, Springer-Verlag, 2004. I. Blake, G. Seroussi, and N. Smart, Elliptic Curves in Cryptography, London Mathematical Society 265, Cambridge University Press, 1999. I. Blake, G. Seroussi, and N. Smart, editors, Advances in Elliptic Curve Cryptography, London Mathematical Society 317, Cambridge University Press, 2005. L. Washington, Elliptic Curves: Number Theory and Cryptography, Chapman & Hall / CRC, 2003. The Case for Elliptic Curve Cryptography, National Security Agency (archived January 17, 2009) Online Elliptic Curve Cryptography Tutorial, Certicom Corp. (archived here as of March 3, 2016) K. Malhotra, S. Gardner, and R. Patz, Implementation of Elliptic-Curve Cryptography on Mobile Healthcare Devices, Networking, Sensing and Control, 2007 IEEE International Conference on, London, 15–17 April 2007 Page(s):239–244 Saikat Basu, A New Parallel Window-Based Implementation of the Elliptic Curve Point Multiplication in Multi-Core Architectures, International Journal of Network Security, Vol. 13, No. 3, 2011, Page(s):234–241 (archived here as of March 4, 2016) Christof Paar, Jan Pelzl, "Elliptic Curve Cryptosystems", Chapter 9 of "Understanding Cryptography, A Textbook for Students and Practitioners". (companion web site contains online cryptography course that covers elliptic curve cryptography), Springer, 2009. (archived here as of April 20, 2016) Luca De Feo, David Jao, Jerome Plut, Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies, Springer 2011. (archived here as of May 7, 2012) Jacques Vélu, Courbes elliptiques (...), Société Mathématique de France, 57, 1-152, Paris, 1978. External links Elliptic Curves at Stanford University Elliptic curve cryptography Public-key cryptography Finite fields
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9967_0
EDM or E-DM may refer to: Music Electronic dance music Early Day Miners, American band Science and technology Electric dipole moment Electrical discharge machining Electronic distance measurement Entry, Descent, and landing demonstrator Module, like the Shiaparelli EDM See also: Entry, descent and landing (EDL) Computing Educational data mining Electronic document management Enterprise data management Enterprise data modeling Enterprise decision management Entity Data Model Euclidean distance matrix Places Edmonton, Alberta, Canada Edmonds station, Edmonds, Washington, United States Edward-Dean Museum & Gardens, Cherry Valley, California, United States Politics Early day motion Other uses Electronic Direct Mail. See Email marketing Department of Essential Drugs and Medicines of the World Health Organization Event-driven marketing Master of Education (Ed.M.) Electricidade de Moçambique, energy company of Mozambique Einsatzstaffel der Deutschen Mannschaft, Croatian collaborationist military unit
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9970_0
The eightfold path is a method of policy analysis assembled by Eugene Bardach, a professor at the Goldman School of Public Policy at the University of California, Berkeley. It is outlined in his book A Practical Guide for Policy Analysis: The Eightfold Path to More Effective Problem Solving, which is now in its sixth edition. The book is commonly referenced in public policy and public administration scholarship. Bardach's procedure is as follows: Define the problem Assemble the evidence Construct the alternatives Select the criteria Project the outcomes Confront the trade-offs Decide Tell your story A possible ninth step, based on Bardach's own writing, might be "repeat steps 1 - 8 as necessary." The New York taxi driver test The New York taxi driver test is a technique for evaluating the effectiveness of communication between policy makers and analysts. Bardach contends that policy explanations must be clear and down-to-earth enough for a taxi driver to be able to understand the premise during a trip through city streets. The New York taxi driver is presumed to be both a non-specialist and a tough customer. See also Policy analysis References External links WorldCat Library Catalog: A Practical Guide for Policy Analysis Evaluation methods Policy Subfields of political science Public policy research
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The Eden Project () is a visitor attraction in Cornwall, England, UK. The project is located in a reclaimed china clay pit, located from the town of St Blazey and from the larger town of St Austell. The complex is dominated by two huge enclosures consisting of adjoining domes that house thousands of plant species, and each enclosure emulates a natural biome. The biomes consist of hundreds of hexagonal and pentagonal ethylene tetrafluoroethylene (ETFE) inflated cells supported by geodesic tubular steel domes. The larger of the two biomes simulates a rainforest environment (and is the largest indoor rainforest in the world) and the second, a Mediterranean environment. The attraction also has an outside botanical garden which is home to many plants and wildlife native to Cornwall and the UK in general; it also has many plants that provide an important and interesting backstory, for example, those with a prehistoric heritage. There are plans to build an Eden Project North in the seaside town of Morecambe, Lancashire, with a focus on the marine environment. History The clay pit in which the project is sited was in use for over 160 years. In 1981, the pit was used by the BBC as the planet surface of Magrathea in the TV series the Hitchhiker's Guide to the Galaxy. By the mid-1990s the pit was all but exhausted. The initial idea for the project dates back to 1996, with construction beginning in 1998. The work was hampered by torrential rain in the first few months of the project, and parts of the pit flooded as it sits below the water table. The first part of the Eden Project, the visitor centre, opened to the public in May 2000. The first plants began arriving in September of that year, and the full site opened on 17 March 2001. To counter criticism from environmental groups, the Eden Project committed to investigate a rail link to the site. The rail link was never built, and car parking on the site is still funded from revenue generated from general admission ticket sales. The Eden Project was used as a filming location for the 2002 James Bond film Die Another Day. On 2 July 2005 The Eden Project hosted the "Africa Calling" concert of the Live 8 concert series. It has also provided some plants for the British Museum's Africa garden.
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9971_1
In 2005, the Project launched "A Time of Gifts" for the winter months, November to February. This features an ice rink covering the lake, with a small café-bar attached, as well as a Christmas market. Cornish choirs regularly perform in the biomes. The Eden project commissioned their artist in residence John Dyer to capture "A Time of Gifts" on canvas. In 2007, the Eden Project campaigned unsuccessfully for £50 million in Big Lottery Fund money for a proposed desert biome. It received just 12.07% of the votes, the lowest for the four projects being considered. As part of the campaign, the Eden Project invited people all over Cornwall to try to break the world record for the biggest ever pub quiz as part of its campaign to bring £50 million of lottery funds to Cornwall. In December 2009, much of the project, including both greenhouses, became available to navigate through Google Street View. The Eden Trust revealed a trading loss of £1.3 million for 2012–13, on a turnover of £25.4 million. The Eden Project had posted a surplus of £136,000 for the previous year. In 2014 Eden accounts showed a surplus of £2 million. The World Pasty Championships, an international competition to find the best Cornish pasties and other pasty-type savoury snacks, have been held at the Eden Project since 2012. The Eden Project is said to have contributed over £1 billion to the Cornish economy. In 2016, Eden became home to Europe's second-largest redwood forest (after the Giants Grove at Birr Castle, Birr Castle, Ireland) when forty saplings of coast redwoods, Sequoia sempervirens, which could live for 4,000 years and reach 115 metres in height, were planted there. The Eden Project received 1,010,095 visitors in 2019. In December 2020 the project was closed after heavy rain caused several landslips at the site. Managers at the site are assessing the damage and will announce when the project will reopen on the company's website. Reopening became irrelevant as Covid lockdown measures in the UK indefinitely closed the venue from early 2021, though it had reopened by May 2021 after remedial works had taken place. The site was used for an event during the 2021 G7 Summit, hosted by the United Kingdom.
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9971_2
Design and construction The project was conceived by Tim Smit and designed by Grimshaw Architects and structural engineering firm Anthony Hunt Associates (now part of Sinclair Knight Merz). Davis Langdon carried out the project management, Sir Robert McAlpine and Alfred McAlpine did the construction, MERO jointly designed and built the biome steel structures, the ETFE pillows that biuld the facade were realised by Vector Foiltec, and Arup was the services engineer, economic consultant, environmental engineer and transportation engineer. Land Use Consultants led the masterplan and landscape design. The project took 2½ years to construct and opened to the public on 17 March 2001. Site Layout Once into the attraction, there is a meandering path with views of the two biomes, planted landscapes, including vegetable gardens, and sculptures that include a giant bee and previously The WEEE Man (removed in 2016), a towering figure made from old electrical appliances and was meant to represent the average electrical waste used by one person in a lifetime. Biomes At the bottom of the pit are two covered biomes: The Tropical Biome, covers and measures high, wide, and long. It is used for tropical plants, such as fruiting banana plants, coffee, rubber and giant bamboo, and is kept at a tropical temperature and moisture level. The Mediterranean Biome covers and measures high, wide, and long. It houses familiar warm temperate and arid plants such as olives and grape vines and various sculptures. The Outdoor Gardens represent the temperate regions of the world with plants such as tea, lavender, hops, hemp, and sunflowers, as well as local plant species.
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9971_3
The covered biomes are constructed from a tubular steel (hex-tri-hex) with mostly hexagonal external cladding panels made from the thermoplastic ETFE. Glass was avoided due to its weight and potential dangers. The cladding panels themselves are created from several layers of thin UV-transparent ETFE film, which are sealed around their perimeter and inflated to create a large cushion. The resulting cushion acts as a thermal blanket to the structure. The ETFE material is resistant to most stains, which simply wash off in the rain. If required, cleaning can be performed by abseilers. Although the ETFE is susceptible to punctures, these can be easily fixed with ETFE tape. The structure is completely self-supporting, with no internal supports, and takes the form of a geodesic structure. The panels vary in size up to across, with the largest at the top of the structure. The ETFE technology was supplied and installed by the firm Vector Foiltec, which is also responsible for ongoing maintenance of the cladding. The steel spaceframe and cladding package (with Vector Foiltec as ETFE subcontractor) was designed, supplied and installed by MERO (UK) PLC, who also jointly developed the overall scheme geometry with the architect, Nicholas Grimshaw & Partners. The entire build project was managed by McAlpine Joint Venture. The Core The Core is the latest addition to the site and opened in September 2005. It provides the Eden Project with an education facility, incorporating classrooms and exhibition spaces designed to help communicate Eden's central message about the relationship between people and plants. Accordingly, the building has taken its inspiration from plants, most noticeable in the form of the soaring timber roof, which gives the building its distinctive shape.
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9971_4
Grimshaw developed the geometry of the copper-clad roof in collaboration with a sculptor, Peter Randall-Page, and Mike Purvis of structural engineers SKM Anthony Hunts. It is derived from phyllotaxis, which is the mathematical basis for nearly all plant growth; the "opposing spirals" found in many plants such as the seeds in a sunflower's head, pine cones and pineapples. The copper was obtained from traceable sources, and the Eden Project is working with Rio Tinto Group to explore the possibility of encouraging further traceable supply routes for metals, which would enable users to avoid metals mined unethically. The services and acoustic, mechanical, and electrical engineering design was carried out by Buro Happold. Art at The Core The Core is also home to art exhibitions throughout the year. A permanent installation entitled Seed, by Peter Randall-Page, occupies the anteroom. Seed is a large, 70 tonne egg-shaped stone installation standing some tall and displaying a complex pattern of protrusions that are based upon the geometric and mathematical principles that underlie plant growth. Environmental aspects The biomes provide diverse growing conditions, and many plants are on display. The Eden Project includes environmental education focusing on the interdependence of plants and people; plants are labelled with their medicinal uses. The massive amounts of water required to create the humid conditions of the Tropical Biome, and to serve the toilet facilities, are all sanitised rain water that would otherwise collect at the bottom of the quarry. The only mains water used is for hand washing and for cooking. The complex also uses Green Tariff Electricity – the energy comes from one of the many wind turbines in Cornwall, which were among the first in Europe. In December 2010 the Eden Project received permission to build a geothermal electricity plant which will generate approx 4MWe, enough to supply Eden and about 5000 households. The project will involve geothermal heating as well as geothermal electricity. Cornwall Council and the European Union came up with the greater part of £16.8m required to start the project. First a well will be sunk nearly 3 miles (4.5 km) into the granite crust underneath Eden.
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