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README.md

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-
-title: Mathematical Equation Visualizer
-emoji: 📊
-colorFrom: blue
-colorTo: purple
-sdk: gradio
-sdk_version: 4.0.0
-app_file: app.py
-pinned: false
-license: mit
-short_description: Interactive mathematical equation visualizer with multiple plot types
-tags:
-
-- mathematics
-- visualization
-- plotting
-- equations
-- gradio
-  python_version: 3.9
-
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-
-# 📊 Mathematical Equation Visualizer
-
-An interactive web application for visualizing mathematical equations with multiple plot types and customization options.
-
-## Features
-
-- **Multiple Plot Types:**
-  - 2D Functions (y = f(x))
-  - Parametric Equations (x = f(t), y = g(t))
-  - Polar Equations (r = f(θ))
-  - Implicit Equations (F(x,y) = 0)
-  - 3D Surface Plots (z = f(x,y))
-- **Customization Options:**
-  - Adjustable plot ranges
-  - Color selection
-  - Line styles
-  - Grid toggle
-  - Custom titles
-  - Multiple color schemes for 3D plots
-- **Built-in Examples:**
-  - Pre-loaded examples for each plot type
-  - Easy-to-use example selector
-
-## Supported Mathematical Functions
-
-- Trigonometric: `sin`, `cos`, `tan`
-- Exponential: `exp`, `log`
-- Power: `sqrt`, `**` (exponentiation)
-- Basic arithmetic: `+`, `-`, `*`, `/`
-- Other: `abs`
-
-## Usage Examples
-
-### 2D Functions
-
-- `sin(x)` - Sine wave
-- `x**2 + 2*x + 1` - Parabola
-- `exp(-x**2)` - Gaussian curve
-
-### Parametric Equations
-
-- x: `cos(t)`, y: `sin(t)` - Circle
-- x: `t*cos(t)`, y: `t*sin(t)` - Spiral
-
-### Polar Equations
-
-- `1 + cos(theta)` - Cardioid
-- `sin(4*theta)` - Four-petaled rose
-
-### Implicit Equations
-
-- `x**2 + y**2 - 1` - Circle
-- `x**3 + y**3 - 3*x*y` - Folium of Descartes
-
-### 3D Surfaces
-
-- `sin(sqrt(x**2 + y**2))` - Sinc function
-- `x**2 - y**2` - Hyperbolic paraboloid
-
-## How to Use
-
-1. Select a plot type from the dropdown menu
-1. Enter your mathematical equation using the supported functions
-1. Adjust the plot ranges as needed
-1. Customize colors, line styles, and other visual options
-1. Click “Generate Plot” or let it auto-generate as you type
-1. Use the examples section to load pre-made equations
-
-## Technical Details
-
-- Built with Gradio for the web interface
-- Uses Matplotlib for plotting
-- SymPy for mathematical expression parsing
-- NumPy for numerical computations
-
-## Error Handling
-
-The application includes robust error handling for:
-
-- Invalid mathematical expressions
-- Division by zero
-- Complex number results (automatically converted to real)
-- Infinite values (clipped for display)
-
------
-
-**Note:** This application is designed for educational and visualization purposes. For complex mathematical analysis, consider using specialized mathematical software.