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📐 Mathematical Formula Rendering Demo

🚀 MathJax Integration Fixed!

Your web interface now properly renders mathematical formulas using MathJax. Here's what changed:

✅ Before (Raw LaTeX):

The indefinite integral (\int x^n \, dx) is given by (\frac{x^{n+1}}{n+1} + C)

✅ After (Rendered Math):

The indefinite integral $\int x^n , dx$ is given by $\frac{x^{n+1}}{n+1} + C$

🧮 Mathematical Notation Examples:

Inline Math (using $...$):

  • Simple: $x^2 + y^2 = z^2$
  • Fractions: $\frac{a}{b} = \frac{c}{d}$
  • Greek letters: $\pi$, $\alpha$, $\beta$, $\gamma$
  • Functions: $\sin(\pi/4)$, $\cos(\theta)$, $\log(x)$
  • Integrals: $\int x dx = \frac{x^2}{2} + C$

Display Math (using $$...$$):

Integration by parts: $$\int u , dv = uv - \int v , du$$

Quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

Taylor series: $$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots$$

Definite integral: $$\int_0^5 x^2 , dx = \left[\frac{x^3}{3}\right]_0^5 = \frac{125}{3} - 0 = \frac{125}{3}$$

🔧 What Was Fixed:

1. Added MathJax Library:

<script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>

2. Enhanced Math Processing:

# Convert LaTeX parentheses to MathJax format
response_text = re.sub(r'\\\((.*?)\\\)', r'$\1$', response_text)
response_text = re.sub(r'\\\[(.*?)\\\]', r'$$\1$$', response_text)

3. Auto-Typesetting:

// Process MathJax after content updates
MathJax.typesetPromise([container]);

4. Enhanced Math Agent:

  • Now includes proper LaTeX formatting instructions
  • Generates responses with $...$ and $$...$$ notation
  • Uses proper mathematical symbols and notation

🧪 Test Mathematical Questions:

Try these in your web interface to see proper formula rendering:

  1. Basic Integration: "What is the integral of x^2?"

    • Should show: $\int x^2 dx = \frac{x^3}{3} + C$

  2. Trigonometry: "Calculate sin(π/4) + cos(π/3)"

    • Should show: $\sin(\pi/4) + \cos(\pi/3) = \frac{\sqrt{2}}{2} + \frac{1}{2}$

  3. Complex Expression: "Solve the quadratic equation ax^2 + bx + c = 0"

    • Should show: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

📱 User Interface Improvements:

  • Placeholder text now includes math examples
  • Help text explains mathematical notation support
  • Auto-reload picks up changes without restart
  • Better styling for mathematical expressions

🎯 Results:

Your engineering-focused agent system now properly renders mathematical formulas, making it perfect for:

  • Structural calculations with proper equation display
  • Engineering analysis with formatted results
  • Mathematical explanations with clear notation
  • Scientific communication with professional presentation

Test it now by asking: "What is the derivative of sin(x^2)?" in your web interface! 🚀