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docs: multiple doc improvements (#6449)
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4 changed files with 84 additions and 36 deletions
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@ -18,14 +18,14 @@ Please read [KaTeX](https://katex.org) documentation for more details.
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Write inline math equations by wrapping LaTeX equations between `$`:
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```mdx
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Let $f:[a,b] \to \R$ be Riemann integrable. Let $F:[a,b]\to\R$ be $F(x)=
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\int_{a}^{x}f(t)dt$. Then $$F$$ is continuous, and at all $x$ such that $f$ is continuous at $x$, $F$ is differentiable at $x$ with $F'(x)=f(x)$.
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Let $f\colon[a,b] \to \R$ be Riemann integrable. Let $F\colon[a,b]\to\R$ be $F(x)=
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\int_{a}^{x} f(t)\,dt$. Then $$F$$ is continuous, and at all $x$ such that $f$ is continuous at $x$, $F$ is differentiable at $x$ with $F'(x)=f(x)$.
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```
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<BrowserWindow>
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Let $f:[a,b] \to \R$ be Riemann integrable. Let $F:[a,b]\to\R$ be $F(x)=
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\int_{a}^{x}f(t)dt$. Then $F$ is continuous, and at all $x$ such that $f$ is continuous at $x$, $F$ is differentiable at $x$ with $F'(x)=f(x)$.
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Let $f\colon[a,b] \to \R$ be Riemann integrable. Let $F\colon[a,b]\to\R$ be $F(x)=
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\int_{a}^{x} f(t)\,dt$. Then $F$ is continuous, and at all $x$ such that $f$ is continuous at $x$, $F$ is differentiable at $x$ with $F'(x)=f(x)$.
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</BrowserWindow>
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@ -35,14 +35,14 @@ For equation block or display mode, use line breaks and `$$`:
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```mdx
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$$
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I = \int_0^{2\pi} \sin(x) dx
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I = \int_0^{2\pi} \sin(x)\,dx
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$$
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```
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<BrowserWindow>
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$$
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I = \int_0^{2\pi} \sin(x) dx
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I = \int_0^{2\pi} \sin(x)\,dx
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$$
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</BrowserWindow>
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