docs(math): render all LaTeX examples
Replace code-only examples with syntax/rendered table showing: - Greek letters, fractions, subscripts, sums, integrals, roots, matrices Add display math examples: Gaussian integral, Euler's identity, Schrödinger equation.
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@@ -38,13 +38,29 @@ Or fence with `math` language:
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KaTeX supports a large subset of LaTeX math:
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- Greek letters: `$\alpha, \beta, \gamma$`
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- Fractions: `$\frac{a}{b}$`
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- Subscripts/superscripts: `$x_i^2$`
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- Summations: `$\sum_{i=1}^{n} i$`
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- Integrals: `$\int_a^b f(x)\,dx$`
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- Matrices: `$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$`
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- And much more...
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| Feature | Syntax | Rendered |
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| ----------------------- | ---------------------------------------------- | ---------------------------------------------- |
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| Greek letters | `\alpha, \beta, \gamma` | $\alpha, \beta, \gamma$ |
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| Fractions | `\frac{a}{b}` | $\frac{a}{b}$ |
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| Subscripts/superscripts | `x_i^2` | $x_i^2$ |
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| Summations | `\sum_{i=1}^{n} i` | $\sum_{i=1}^{n} i$ |
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| Integrals | `\int_a^b f(x)\,dx` | $\int_a^b f(x)\,dx$ |
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| Square roots | `\sqrt{x^2 + y^2}` | $\sqrt{x^2 + y^2}$ |
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| Matrices | `\begin{pmatrix} a & b \\ c & d \end{pmatrix}` | $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$ |
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### Display Math Examples
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The Gaussian integral:
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$$\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}$$
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Euler's identity:
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$$e^{i\pi} + 1 = 0$$
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The Schrödinger equation:
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$$i\hbar\frac{\partial}{\partial t}\Psi = \hat{H}\Psi$$
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## How It Works
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