Overview
- the symbol as it looks,
- the LaTeX code to produce it,
- the HTML entity / Unicode,
- and a plain-text ASCII fallback (when one exists).
You can copy/paste this straight into WordPress (ideally with MathJax/KaTeX enabled so the LaTeX renders).
# Visual Map of Math Operators — Symbol ⇄ LaTeX ⇄ HTML/Unicode ⇄ ASCII
Each row shows the **actual glyph**, the **LaTeX you type**, the **HTML/Unicode code**, and a **plain-text fallback**.
> Legend:
> • **Symbol** = the glyph as it appears.
> • **LaTeX** = code inside `$...$` (inline) or `$$...$$` (display).
> • **HTML/Unicode** = entity or code point.
> • **ASCII** = keyboard-safe approximation.
---
## 1) Arithmetic
| Operator | Symbol | LaTeX | HTML / Unicode | ASCII Fallback | Example (LaTeX) |
|---|---:|---|---|---|---|
| Addition | + | `+` | `+` / U+002B | `+` | `$4+5=9$` |
| Subtraction (minus) | − | `-` | `−` / U+2212 | `-` | `$9-5=4$` |
| Multiplication (times) | × | `\times` | `×` / U+00D7 | `*` | `$3\times 5=15$` |
| Multiplication (dot) | · | `\cdot` | `·` / U+00B7 | `*` or space | `$a\cdot b$` |
| Division (obelus) | ÷ | `\div` | `÷` / U+00F7 | `/` | `$12\div 3=4$` |
| Division (fraction) | ⅓ style | `\frac{a}{b}` | — | `a/b` | `$\frac{12}{3}=4$` |
| Exponent / power | bⁿ | `b^n` | — | `b^n` | `$2^3=8$` |
| Square root | √ | `\sqrt{x}` | `√` / U+221A | `sqrt(x)` | `$\sqrt{9}=3$` |
| n-th root | ³√ | `\sqrt[n]{x}` | — | `root(n,x)` | `$\sqrt[3]{8}=2$` |
| Factorial | ! | `!` | `!` / U+0021 | `!` | `$5!=120$` |
| Percentage | % | `\%` | `%` / U+0025 | `%` | `$50\%= \frac{50}{100}$` |
| Modulo | mod | `\bmod` | — | `%` | `$7\bmod 3=1$` |
---
## 2) Equality & Inequality
| Operator | Symbol | LaTeX | HTML / Unicode | ASCII Fallback | Example (LaTeX) |
|---|---:|---|---|---|---|
| Equal | = | `=` | `=` / U+003D | `=` | `$2+2=4$` |
| Not equal | ≠ | `\neq` | `≠` / U+2260 | `!=` | `$\pi \neq 3$` |
| Less than | < | `<` | `<` / U+003C | `<` | `$a<b$` |
| Greater than | > | `>` | `>` / U+003E | `>` | `$a>b$` |
| Less-or-equal | ≤ | `\leq` | `≤` / U+2264 | `<=` | `$x\leq 10$` |
| Greater-or-equal | ≥ | `\geq` | `≥` / U+2265 | `>=` | `$y\geq 0$` |
---
## 3) Unary, Absolute, Rounding
| Operator | Symbol | LaTeX | HTML / Unicode | ASCII Fallback | Example (LaTeX) |
|---|---:|---|---|---|---|
| Unary plus | +x | `+x` | — | `+x` | `$+7=7$` |
| Unary minus | −x | `-x` | `−` / U+2212 | `-x` | `$-(-3)=3$` |
| Absolute value | |x| | `|x|` | U+007C … U+007C | `abs(x)` | `$|{-5}|=5$` |
| Floor | ⌊x⌋ | `\lfloor x\rfloor` | U+230A/U+230B | `floor(x)` | `$\lfloor 2.9\rfloor=2$` |
| Ceiling | ⌈x⌉ | `\lceil x\rceil` | U+2308/U+2309 | `ceil(x)` | `$\lceil 2.1\rceil=3$` |
| Signum | sgn | `\operatorname{sgn}(x)` | — | `sign(x)` | `$\operatorname{sgn}(-2)=-1$` |
---
## 4) Summation, Product, Calculus
| Operator | Symbol | LaTeX | HTML / Unicode | ASCII Fallback | Example (LaTeX) |
|---|---:|---|---|---|---|
| Summation | ∑ | `\sum` | `∑` / U+2211 | `sum()` | `$\sum_{i=1}^n i$` |
| Product | ∏ | `\prod` | `∏` / U+220F | `prod()` | `$\prod_{k=1}^n k = n!$` |
| Derivative | d/dx | `\frac{d}{dx}` | — | `d/dx` | `$\frac{d}{dx}x^2=2x$` |
| Integral | ∫ | `\int` | `∫` / U+222B | `int` | `$\int_0^1 x\,dx=\tfrac12$` |
| Limit | lim | `\lim` | — | `lim` | `$\lim_{x\to0}\frac{\sin x}{x}=1$` |
| Difference | Δ | `\Delta` | `Δ` / U+0394 | `Delta` | `$\Delta y=y_{n+1}-y_n$` |
| Nabla | ∇ | `\nabla` | `∇` / U+2207 | `grad` | `$\nabla f$`, `$\nabla\cdot \vec F$`, `$\nabla\times \vec F$` |
---
## 5) Linear Algebra & Vectors
| Operator | Symbol | LaTeX | HTML / Unicode | ASCII Fallback | Example (LaTeX) |
|---|---:|---|---|---|---|
| Dot product | · | `\cdot` | `·` / U+00B7 | `dot` or `*` | `$\vec a\cdot \vec b$` |
| Cross product | × | `\times` | `×` / U+00D7 | `x` | `$\vec a\times \vec b$` |
| Transpose | T | `A^{\mathsf T}` or `A^T` | — | `A^T` | `$A^{\mathsf T}$` |
| Determinant | det | `\det(A)` | — | `det(A)` | `$\det\begin{bmatrix}a&b\\c&d\end{bmatrix}=ad-bc$` |
| Matrix multiply | AB | `AB` | — | `A*B` | `$AB$` |
---
## 6) Logic
| Operator | Symbol | LaTeX | HTML / Unicode | ASCII Fallback | Example (LaTeX) |
|---|---:|---|---|---|---|
| NOT | ¬ | `\lnot` / `\neg` | `¬` / U+00AC | `!` | `$\lnot P$` |
| AND | ∧ | `\land` | `∧` / U+2227 | `&&` | `$P\land Q$` |
| OR | ∨ | `\lor` | `∨` / U+2228 | `||` | `$P\lor Q$` |
| Implication | → | `\to` | `→` / U+2192 | `->` | `$P\to Q$` |
| Equivalence | ↔ | `\leftrightarrow` | `↔` / U+2194 | `<->` | `$P\leftrightarrow Q$` |
---
## 7) Sets
| Operator | Symbol | LaTeX | HTML / Unicode | ASCII Fallback | Example (LaTeX) |
|---|---:|---|---|---|---|
| Element of | ∈ | `\in` | `∈` / U+2208 | `in` | `$2\in\mathbb N$` |
| Not element of | ∉ | `\notin` | `∉` / U+2209 | `not in` | `$-1\notin\mathbb N$` |
| Subset | ⊆ | `\subseteq` | `⊆` / U+2286 | `<=` (set) | `$A\subseteq B$` |
| Superset | ⊇ | `\supseteq` | `⊇` / U+2287 | `>=` (set) | `$B\supseteq A$` |
| Proper subset | ⊂ | `\subset` | `⊂` / U+2282 | `⊊` approx | `$A\subset B$` |
| Union | ∪ | `\cup` | `∪` / U+222A | `U` | `$A\cup B$` |
| Intersection | ∩ | `\cap` | `∩` / U+2229 | `n` | `$A\cap B$` |
| Set difference | ∖ | `\setminus` | U+2216 | `\` | `$A\setminus B$` |
| Complement | Aᶜ | `A^{c}` | — | `A^c` | `$A^{c}=U\setminus A$` |
---
## 8) Functions & Specials
| Operator | Symbol | LaTeX | HTML / Unicode | ASCII Fallback | Example (LaTeX) |
|---|---:|---|---|---|---|
| Reciprocal | 1/x | `\frac{1}{x}` | — | `1/x` | `$\frac{1}{4}=0.25$` |
| Mean (average) | μ | `\mu` / `\bar{x}` | `μ` / U+03BC | `mu` | `$\mu=\frac1n\sum x_i$` |
| Median | med | `\operatorname{median}(x)` | — | `median(x)` | — |
| Variance | σ² | `\sigma^2` / `\mathrm{Var}` | `σ` / U+03C3 | `Var` | `$\sigma^2=E[(X-\mu)^2]$` |
| Square / Cube | x² / x³ | `x^2`, `x^3` | — | `x^2`, `x^3` | `$3^2=9$, $2^3=8$` |
| Exponential | eˣ | `\exp(x)` or `e^x` | — | `exp(x)` | `$\exp(0)=1$` |
| Logarithm | log, ln | `\log x`, `\ln x`, `\log_{10} x`, `\log_2 x` | — | `log(x)` | `$ \ln(e)=1$` |
| Clamp / Clip | min/max | `\min(\max(x,a),b)` | — | `min(max(x,a),b)` | — |
---
### Notes & Best Practices
- **Minus vs hyphen:** Prefer U+2212 (−) for true minus in typography; ASCII hyphen `-` is acceptable in code.
- **ASCII fallbacks:** Use when LaTeX is unavailable. Be consistent within your document/system.
- **Fractions:** `\tfrac{a}{b}` is a compact inline fraction; `\frac{a}{b}` is standard.
- **Vector/matrix style:** For transposes and vectors, `\mathsf{T}`, `\vec{v}`, or bold `\mathbf{v}` depending on your style guide.
- **Rendering:** Enable MathJax/KaTeX in WordPress to display LaTeX ($…$, $$…$$). Without it, show HTML entities / ASCII.
---
If you want, I can also generate a compact PNG legend (symbols + codes) or a CSV you can load into your site’s search to auto-suggest LaTeX for any symbol.
Key terms in plain language
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API
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Artificial Intelligence (AI)
Software designed to perform tasks involving prediction, classification, generation, reasoning, or decision support. Business use still requires clear data, governance, security, and human accountability.