Variables | $x_1$, $y_1$, $z_{3,4}$ | $x_1$, $y_1$, $z_{3,4}$ |
Square | $a^2$, $x^y$, $2^{n-1}$ | $a^2$, $$x^y$, $2^{n-1}$ |
Square Root | $\sqrt{9}$, $\sqrt{x}$, $\sqrt[n]{x}$ | $\sqrt{9}$, $\sqrt{x}$, $\sqrt[n]{x}$ |
Logarithm | $\log{}x$, $\log_{2}x$ | $\log{}x$, $\log_{2}x$ |
Fraction | $\frac{1}{2}$, $\left(-\frac{1}{2}\right)^n$ | $\frac{1}{2}$, $\left(-\frac{1}{2}\right)^n$ |
Infinity | $\infty$ | $\infty$ |
Absolute Value | $\vert{x}\vert$, $\vert\frac{x}{2}\vert$, $\lfloor{x}\rfloor$, $\lceil{x}\rceil$ | $\vert{x}\vert$, $\vert\frac{x}{2}\vert$, $\lfloor{x}\rfloor$, $\lceil{x}\rceil$ |
Arithmetic Operation | $2\times 3$, $6\div 3$ | $2\times 3$, $6\div 3$ |
Factorial | $n!$ | $n!$ |
Trigonometric Functions | $\sin\theta$, $\cos\theta$, $\tan\theta$ | $\sin\theta$, $$\cos\theta$, $\tan\theta$ |
Greater or Less | $a\gt b$, $a\geq b$, $a\lt b$, $a\leq b$ | $a\gt b$, $a\geq b$, $a\lt b$, $a\leq b$ |
Equation | $a=b$, $a\neq b$, $a\approx b$ | $a=b$, $a\neq b$, $a\approx b$ |
Times Dot | $a\cdot b=ab$ | $a\cdot b=ab$ |
Divide Fraction | $a/b=\frac{a}{b}$ | $a/b=\frac{a}{b}$ |
Trinomial Equation | $a^2 + b^2 = c^2$ | $a^2 + b^2 = c^2$ |
Matrix Parentheses | \(\begin{pmatrix} a & b \\ c & d \end{pmatrix}\) | $$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$$ |
Matrix Brackets | \(\begin{bmatrix} a & b \\ c & d \end{bmatrix}\) | $$\begin{bmatrix} a & b \\ c & d \end{bmatrix}$$ |
Matrix Equation | \(\begin{vmatrix} a & b \\ c & d \end{vmatrix}=ad-bc\) | $$\begin{vmatrix} a & b \\ c & d \end{vmatrix}=ad-bc$$ |
Set | $x\in A$, $A\ni x$, $x\notin A$ | $x\in A$, $A\ni x$, $x\notin A$ |
Subset | $A\subset B$, $A\subseteq B$, $A \not \subset B$ | $A\subset B$, $A\subseteq B$, $A \not \subset B$ |
Intersection & Union | $A\cap B$, $A\cup B$, $\overline{A}$ | $A\cap B$, $A\cup B$, $\overline{A}$ |
Quadratic formula | $ x = {-b \pm \sqrt{b^2-4ac} \over 2a} $ | $ x = {-b \pm \sqrt{b^2-4ac} \over 2a} $ |
Binomial | $\sqrt{3x-1}+(1+x)^2$ | $\sqrt{3x-1}+(1+x)^2$ |
Differentiation | $f’$, $f^{(n)}$, $D_x f$ | $f'$, $f^{(n)}$, $D_x f$ |
Integral | $\int_0^1 f(x) dx$ | $\int_0^1 f(x) dx$ |
Integral Large | $\displaystyle \int_{-\infty }^{\infty}f(x)dx$ | $\displaystyle \int_{-\infty }^{\infty}f(x)dx$ |
Max Sample | \(\max(a,b)=\begin{cases}a&(a\geqq b)\\b&(a\lt b)\end{cases}\) | $$\max(a,b)=\begin{cases}a&(a\geqq b)\\b&(a\lt b)\end{cases}$$ |