https://github.com/fed/mathml-latex-examples
MathML and LaTeX examples 👨🏫
https://github.com/fed/mathml-latex-examples
latex mathml
Last synced: about 2 months ago
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MathML and LaTeX examples 👨🏫
- Host: GitHub
- URL: https://github.com/fed/mathml-latex-examples
- Owner: fed
- Created: 2019-06-26T02:51:43.000Z (almost 6 years ago)
- Default Branch: master
- Last Pushed: 2019-09-28T12:23:18.000Z (over 5 years ago)
- Last Synced: 2025-01-18T13:38:07.150Z (3 months ago)
- Topics: latex, mathml
- Homepage:
- Size: 113 KB
- Stars: 0
- Watchers: 0
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
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README
# MathML and LaTeX Examples
## Example 1
Latex:
```
x^2+y^2=z^2
```
MathML:
```xml
x2+y2=z2
```
## Example 2
Latex:
```
z=\sqrt{x^2+y^2}-\frac{x+y}{(x-y)(x+y)}
```
MathML:
```xml
z=x2+y2-x+y(x-y)(x+y)
```
## Example 3
Latex:
```
\frac1x+\sqrt[x]{3+y}-x\geqslant\mathrm\pi
```
MathML:
```xml
1x+3+yx-x⩾π
```
## Example 4
Latex:
```
x+y-xy=\frac1{\left|x+xy-y\right|}
```
MathML:
```xml
x+y-xy=1x+xy-y
```
## Example 5
```
\begin{pmatrix}x-3&1&\frac x2\\3.5&x&4\\5x&6&x+4\end{pmatrix}
```
MathML:
```xml
x-31x23.5x45x6x+4
```
## Example 6
```
\overset{10}{\underset{i=0}{\sum i}}\geqslant10
```
MathML:
```xml
∑ii=010⩾10
```
## Example 7
```
\left|f(x)-L\right|<\varepsilon\Rightarrow0<\left|x-a\right|<\delta
```
MathML:
```xml
f(x)-L<ε⇒0<x-a<δ
```
## Example 8
Latex:
```
\pi\approx\sqrt{\frac{40}3-\sqrt{12}}\approx3.141533
```
MathML:
```xml
π≈403-12≈3.141533
```
## Example 9
Latex:
```
\mathrm e^{\mathrm\pi}-\mathrm\pi=19.999099979...\approx20
```
MathML:
```xml
eπ-π=19.999099979...≈20
```
## Example 10
Latex:
```
\mathrm\pi\approx\sqrt{7+\sqrt{6+\sqrt5}}
```
MathML:
```xml
π≈7+6+5
```
## Example 11
Latex:
```
\sin\left(\theta\right)=\cos\left(\frac{3\pi}2+\theta\right)=\frac{\tan\left(\theta\right)}{\sqrt{1+\tan^2\left(\theta\right)}}
```
MathML:
```xml
sinθ=cos3π2+θ=tanθ1+tan2θ
```
## Example 12
Latex:
```
\tan\left(\alpha\right)=\frac{\sin\left(\alpha\right)}{\cos\left(\alpha\right)}=\tan\left(\alpha+\pi\right)
```
MathML:
```xml
tanα=sinαcosα=tanα+π
```
## Example 13
Latex:
```
\sqrt2\in\mathfrak R
```
MathML:
```xml
2∈R
```
## Example 14
Latex:
```
{(\alpha+\beta)}^2=\alpha^2+2\alpha\beta+\beta^2
```
MathML:
```xml
(α+β)2=α2+2αβ+β2
```
## Example 15
Latex:
```
\sqrt a\cdot\sqrt[3]b=\ln\left(ab\right)
```
MathML:
```xml
a·b3=lnab
```
## Example 16
Latex:
```
\int_0^1\frac{x^3+3x}2\operatorname dx
```
MathML:
```xml
∫01x3+3x2dx
```
## Example 17
Latex:
```
\lim_{x\rightarrow\infty}\sqrt{\frac x{x^2+2x+1}}
```
MathML:
```xml
limx→∞xx2+2x+1
```
## Example 18
Latex:
```
\left|\int_a^bf(t)\operatorname dt\right|\leqslant\int_a^b\left|f(t)\right|\operatorname dt
```
MathML:
```xml
∫abf(t)dt⩽∫abf(t)dt
```
## Example 19
Latex:
```
\iint_Dxy^2\operatorname dA=\int_0^1\left(\int_0^2xy^2\operatorname dx\right)\operatorname dy
```
MathML:
```xml
∬Dxy2dA=∫01∫02xy2dxdy
```
## Example 20
Latex:
```
\prod_{x=1}^52x+1
```
MathML:
```xml
∏x=152x+1
```