Mathematical Symbols and Operators
| Category |
Rendered Output |
Command |
Category |
Rendered Output |
Command |
| Horizontal/Vetrical Dots |
· ··· ⋮ ⋱ |
\cdot \cdots \vdots \ddots |
Inequalities |
≈ ∼ ∝ ≥ ≤ |
\approx \sim \propto \geq \leq |
| Driectional Arrows |
⇒ ⟹ ⇉ ⇄ |
\Rightarrow \Longrightarrow \rightrightarrows \rightleftarrows |
Diagonal Arrows |
↗ ↘ |
\nearrow \searrow |
| Summation & Product |
∏ ∑ ∫ |
\prod \sum \int |
Calculus & Vectors |
∂x ∇ |
\partial x \nabla |
| Set Membership |
∈ ∉ ⊂ ⊄ |
\in \not\in \subset \not\subset |
Basic Arithmetic |
· × ÷ |
\cdot \times \div |
| Fraction Layout |
a / b |
\frac{a}{b} |
Accents & Tildes |
ũ ũ ũ |
\widetilde{x} \overline{\text{x}} \tilde{x} |
| Under/Overlines |
V̲ V̄ |
\underline{V_n} \overline{V_n} |
Bracket Delimiters |
| ‖ |
\vert \Vert |
| Floor & Ceiling |
⌊ ⌋ ⌈ ⌉ |
\lfloor \rfloor \lceil \rceil |
|
|
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Typography and Greek Alphabet
| Font Style |
Output |
Command |
Font Style |
Output |
Command |
| Blackboard Bold |
𝕋 |
\mathbb{T} |
Callligraphic |
𝒯 |
\mathcal{T} |
| Script |
𝒯 |
\mathscr{T} |
Sans-Serif |
𝖳 |
\mathsf{T} |
| Typewriter |
𝚃 |
\mathtt{T} |
Italic |
T |
\mathit{T} |
| Glyph |
Command |
Glyph |
Command |
Glyph |
Command |
Glyph |
Command |
ζ |
\zeta |
η |
\eta |
ξ |
\xi |
υ |
\upsilon |
φ |
\phi |
φ |
\varphi |
ψ |
\psi |
ω |
\omega |
Advanced Equation Structuring
The following examples illustrate standard environments for piecewise definitions, matrix construction, and multi-line derivations. Each block uses distinct variable scopes and logical flows to demonstrate proper alignment and spacing.
\begin{equation}
f(x) =
\begin{cases}
e^{-\lambda x}, & \text{if } x \geq 0 \\
0, & \text{if } x < 0
\end{cases}
\end{equation}
\begin{equation}
\mathbf{R} =
\begin{pmatrix}
\cos\theta & -\sin\theta & 0 \\
\sin\theta & \cos\theta & 0 \\
0 & 0 & 1
\end{pmatrix}
\end{equation}
\begin{align}
\sigma_X^2 &= \operatorname{E}\left[X^2\right] - \left(\operatorname{E}[X]\right)^2 \\
&= \sum_{i=1}^{n} p_i x_i^2 - \mu^2 \\
&= \sum_{i=1}^{n} p_i (x_i - \mu)^2
\end{align}