Writing MathML in Jekyll

MathML is a powerful tool for representing mathematical expressions in web documents without js library like mathjax or katex, allowing for precise formatting and accessibility.

You can also try this Write your calculations, equations, chemical formulas and get instant results

https://webdemo.myscript.com/views/math/index.html

Examples

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

\sum_{n=1}^{+\infty} \frac{1}{n^2} = \frac{\pi^2}{6}

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

f(x)=\sum_{n=-\infty}^\infty c_n e^{2\pi i(n/T) x} =\sum_{n=-\infty}^\infty \hat{f}(\xi_n) e^{2\pi i\xi_n x}\Delta\xi

\Gamma(t) = \lim_{n \to \infty} \frac{n! \; n^t}{t \; (t+1)\cdots(t+n)}= \frac{1}{t} \prod_{n=1}^\infty \frac{\left(1+\frac{1}{n}\right)^t}{1+\frac{t}{n}} = \frac{e^{-\gamma t}}{t} \prod_{n=1}^\infty \left(1 + \frac{t}{n}\right)^{-1} e^{\frac{t}{n}}

\mathfrak{sl}(n, \mathbb{F}) = \left\{ A \in \mathscr{M}_n(\mathbb{F}) : \operatorname{Tr}(A) = 0 \right\}

x^2 y^2

\multiscripts{_2}{F}{_3}

\frac{x+y^2}{k+1}

x+y^{\frac 2 {k+1}}

\frac{a}{b/2}

\displaystyle a_0 + \frac{1}{\displaystyle a_1+\frac{1}{\displaystyle a_2+\frac{1}{\displaystyle a_3+\frac{1}{\displaystyle a_4}}}}

\binom{n}{k/2}

\binom{p}{2} x^2 y^{p-2} - \frac{1}{1-x} \frac{1}{1-x^2}

\sum_{\substack{ 0 \le i \le m \\ 0 < j < n }} {P(i,j)}

x^{2y}

\sum_{i=1}^p \sum_{j=1}^q \sum_{k=1}^r {a_{i j} b_{j k} c_{k i}}

\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+x}}}}}}}

\left( \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} \right) {| \varphi(x+ i y)|}^2 = 0

2^{2^{2^x}}

\int_1^x \frac{dt}{t}

\iint_D {dx dy}

f(x) = \begin{cases} 1/3 & \text{if} \quad 0 \leq x \leq 1; \\ 2/3 & \text{if} \quad 3 \leq x \leq 4; \\ 0 & \text{elsewhere}. \end{cases}

y_{x^2}

\begin{pmatrix} \begin{pmatrix} a & b \\ c & d \end{pmatrix} & \begin{pmatrix} e & f \\ g & h \end{pmatrix} \\ 0 & \begin{pmatrix} i & j \\ k & l \end{pmatrix} \end{pmatrix}

\det \begin{vmatrix} c_0 & c_1 & c_2 & \dots & c_n \\ c_1 & c_2 & c_3 & \dots & c_{n+1} \\ c_2 & c_3 & c_4 & \dots & c_{n+2} \\ \vdots & \vdots & \vdots & & \vdots \\ c_n & c_{n+1} & c_{n+2} & \dots & c_{2n} \end{vmatrix} > 0

y_{x_2}

x^31415_92 + \pi

x^{z^d_c}_{y_b^a}

y_3'''

\begin{aligned} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{aligned}

\begin{aligned} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{aligned}

\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \end{vmatrix}

P(E) = {n \choose k} p^k (1-p)^{ n-k}

\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\ldots} } } }

1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for} \quad |q| < 1.

\begin{aligned} \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ \nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned}

Binomial Probability Density Function (PDF)

P (X = x) = \frac{n_{x} p^{x} q^{(n - x)}}{n^{x}}

Where:

n = number of trials
x = number of successes
p = probability of success on a single trial
q = probability of failure on a single trial (i.e., q = 1 - p)

Writing MathML in Jekyll

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