feat: enhance Gradio interfaces for vector operations with detailed descriptions and examples

maths/vectors/vector_add.py

@@ -23,5 +23,7 @@ vector_add_interface = gr.Interface(
     ],
     outputs=gr.Textbox(label="Resulting Vector"),
     title="Vector Addition",
-    description="Adds two vectors. Ensure they have the same dimensions."
+    description="Adds two vectors of the same dimension.\n\nExample:\nInput: [1,2,3] and [4,5,6]\nOutput: [5.0, 7.0, 9.0]",
+    examples=[(["[1,2,3]", "[4,5,6]"], "[5.0, 7.0, 9.0]"),
+              (["1,2,3", "4,5,6"], "[5.0, 7.0, 9.0]")],
 )

maths/vectors/vector_cross_product.py

@@ -24,5 +24,7 @@ vector_cross_product_interface = gr.Interface(
     ],
     outputs=gr.Textbox(label="Resulting Vector (3D)"),
     title="Vector Cross Product",
-    description="Calculates the cross product of two 3D vectors."
+    description="Calculates the cross product of two 3D vectors.\n\nExample:\nInput: [1,2,3] and [4,5,6]\nOutput: [-3.0, 6.0, -3.0]",
+    examples=[(["[1,2,3]", "[4,5,6]"], "[-3.0, 6.0, -3.0]"),
+                (["1,2,3", "4,5,6"], "[-3.0, 6.0, -3.0]")],
 )

maths/vectors/vector_dot_product.py

@@ -24,5 +24,7 @@ vector_dot_product_interface = gr.Interface(
     ],
     outputs=gr.Textbox(label="Dot Product (Scalar)"),
     title="Vector Dot Product",
-    description="Calculates the dot product of two vectors. Ensure they have the same dimensions."
+    description="Calculates the dot product of two vectors of the same dimension.\n\nExample:\nInput: [1,2,3] and [4,5,6]\nOutput: 32.0",
+    examples=[(["[1,2,3]", "[4,5,6]"], "32.0"),
+              (["1,2,3", "4,5,6"], "32.0")],
 )

maths/vectors/vector_subtract.py

@@ -24,5 +24,7 @@ vector_subtract_interface = gr.Interface(
     ],
     outputs=gr.Textbox(label="Resulting Vector"),
     title="Vector Subtraction",
-    description="Subtracts the second vector from the first. Ensure they have the same dimensions."
+    description="Subtracts the second vector from the first. Both must have the same dimension.\n\nExample:\nInput: [4,5,6] and [1,2,3]\nOutput: [3.0, 3.0, 3.0]",
+    examples=[(["[4,5,6]", "[1,2,3]"], "[3.0, 3.0, 3.0]"),
+              (["4,5,6", "1,2,3"], "[3.0, 3.0, 3.0]")],
 )