What is implemented from LaTeX standard ?

1 Math Mode

Let $f$ be the function $f(x) = 3x + 7$,

Let $f$ be the function $f(x) = 3x + 7$,

Let \( f \) be the function \( f(x) = 3x + 7 \).

Let \( f \) be the function \( f(x) = 3x + 7 \).

If $f(x) = 3x + 7$ and $g(x) = x + 4$ then \[ f(x) + g(x) = 4x + 11 \] and \[ f(x)g(x) = 3x^2 + 19x +28. \]

If $f(x) = 3x + 7$ and $g(x) = x + 4$ then \[ f(x) + g(x) = 4x + 11 \] and \[ f(x)g(x) = 3x^2 + 19x +28. \]

If $f(x) = 3x + 7$ and $g(x) = x + 4$ then \begin{equation} f(x) + g(x) = 4x + 11\end{equation} and \begin{equation} f(x)g(x) = 3x^2 + 19x +28. \end{equation}

If $f(x) = 3x + 7$ and $g(x) = x + 4$ then \begin{equation} f(x) + g(x) = 4x + 11\end{equation} and \begin{equation} f(x)g(x) = 3x^2 + 19x +28. \end{equation}

Let $f$ be the function $f(x) = 3x + 7$,

Let $f$ be the function $f(x) = 3x + 7$,

Let $f$ be the function $f(x) = 3x + 7 \# $, \#

Let $f$ be the function $f(x) = 3x + 7 \# $, \#

2 Subscript and superscript

\[ R_i^j_k \]

\[ R_i^j_k \]

\[ ds^2 = dx_1^2 + dx_2^2 + dx_3^2 - c^2 dt^2 \]

\[ ds^2 = dx_1^2 + dx_2^2 + dx_3^2 - c^2 dt^2 \]

\[ ds^2 = dx^2_1 + dx^2_2 + dx^2_3 - c^2 dt^2 \]

\[ ds^2 = dx^2_1 + dx^2_2 + dx^2_3 - c^2 dt^2 \]

\[ R_i{}^j{}_{kl} = g^{jm} R_{imkl} = - g^{jm} R_{mikl} = - R^j{}_{ikl} \]

\[ R_i{}^j{}_{kl} = g^{jm} R_{imkl} = - g^{jm} R_{mikl} = - R^j{}_{ikl} \]

\[ R_i{}^j{}_{kl} = g^{g^{g^{jm} R_{mikl}} R_{mikl}} R_{imkl} = - g^{jm} R_{mikl} \]

\[ R_i{}^j{}_{kl} = g^{g^{g^{jm} R_{mikl}} R_{mikl}} R_{imkl} = - g^{jm} R_{mikl} \]

3 Sum

\[ \sum_{i=1}^{10} t_i \]

\[ \sum_{i=1}^{10} t_i \]

3 Symbols

\[1+x+x^2+x^3+\ldots\]

\[1+x+x^2+x^3+\ldots\]

3 Paranthesis

\[ A = cos{x}{y}{z} \]

\[ A = cos{x}{y}{z} \]

\[ A = {cos{x}{y}}{z} \]

\[ A = {cos{x}{y}}{z} \]

\[ A = {{cos{x}{y}}{z}}{sin{w}} \]

\[ A = {{cos{x}{y}}{z}}{sin{w}} \]

3 Fraction

The function $f$ is given by \[ f(x) = 2x + \frac{x - 7}{x^2 + 4}\] for all real numbers $x$.

The function $f$ is given by \[ f(x) = 2x + \frac{x - 7}{x^2 + 4}\] for all real numbers $x$.

\[ \frac{\frac{1}{x}+\frac{1}{y}}{y-z} \]

\[ \frac{\frac{1}{x}+\frac{1}{y}}{y-z} \]

\begin{equation} x = a_0 + \cfrac{1}{a_1 + \cfrac{1}{a_2 + \cfrac{1}{a_3 + a_4}}}\end{equation}

\begin{equation} x = a_0 + \cfrac{1}{a_1 + \cfrac{1}{a_2 + \cfrac{1}{a_3 + a_4}}}\end{equation}

3 Radical

\[\sqrt{\frac{a+b+1}{b}}\]

\[\sqrt{\frac{a+b+1}{b}}\]

\[\sqrt[n]{1+x+x^2+x^3+\ldots}\]

\[\sqrt[n]{1+x+x^2+x^3+\ldots}\]

4 Phantom element

\[ \frac{2^{x^2 + \phantom{4 x} + 4} + 4 x + 45 = 0}{2^{\phantom{x^2 + 4 x + 4}} + 4 x + 45 = 0} \]

\[ \frac{2^{x^2 + \phantom{4 x} + 4} + 4 x + 45 = 0}{2^{\phantom{x^2 + 4 x + 4}} + 4 x + 45 = 0} \]