diff --git a/latex-math-cheatsheet.md b/latex-math-cheatsheet.md new file mode 100644 index 0000000..de3eb42 --- /dev/null +++ b/latex-math-cheatsheet.md @@ -0,0 +1,122 @@ +Disclaimer +============================ +### The credits for this sheet goes to [LKS90](https://gist.github.com/LKS90). I just made a few changes! +##### [Original](https://gist.github.com/LKS90/252ac41bd4a173be35b0) +--- +Example expressions / functions +============================ + +Input | Rendered | +-----------------:|----------------:| +`$a = b + c − d$` | $a = b + c − d$ | +`$\sqrt{?\frac{\pi}{2}}$` | $\sqrt{\frac{\pi}{2}}$ | +`$y = a x_1^2 + b x_2 + c$` | $y = a x_1^2 + b x_2 + c$ | + +Special characters / Symbols +============================ +### Latin: +##### No dot: +`\imath` $\rightarrow$ $\imath$, +`\jmath` $\rightarrow$ $\jmath$ + +##### Hat: +`\hat{\imath}` $\rightarrow$ $\hat{\imath}$, +`\hat{\jmath}` $\rightarrow$ $\hat{\jmath}$ + +### Greek Letters: +##### Capital: +| LaTeX || LaTeX || +|:----------:|:-----:|:---:|:---:| +| `\Gamma` | Γ | `\Delta` | ∆ | +| `\Lambda` | Λ | `\Phi` | Φ | +| `\Pi` | Π | `\Psi` | Ψ | +| `\Sigma` | Σ | `\Theta` | Θ | +| `\Upsilon` | Υ | `\Xi` | Ξ | +| `\Omega` | Ω | | | + +##### Lowercase: +| LaTeX || LaTeX || +|:----------:|:-----:|:---:|:---:| +| `\alpha` | α | `\nu` | ν | +| `\beta` | β | `\kappa` | κ | +| `\gamma` | γ | `\lambda` | λ | +| `\delta` | δ | `\mu` | µ | +| `\epsilon` | ϵ | `\zeta` | ζ | +| `\eta` | η | `\theta` | θ | +| `\iota` | ι | `\xi` | ξ | +| `\pi` | π | `\rho` | ρ | +| `\sigma` | σ | `\tau` | τ | +| `\upsilon` | υ | `\phi` | φ | +| `\chi` | χ | `\psi` | ψ | +| `\omega` | ω | | | + +##### Other: +LaTex | | LaTex | | +-----------:|---|------------:|--:| +`\digamma` | ϝ | `varepsilon`| ε | +`\varkappa` | ϰ | `\varphi` | ϕ | +`\varpi` | ϖ | `\varrho` | ϱ | +`\varsigma` | ς | `\vartheta` | ϑ | +`\eth` | ð | `\hbar` | $\hbar$ | + + +### Other: +#### Other Symbols +LaTex | | LaTex | | +-------------:|---|-----------------:|--:| +`\partial` | ∂ | `\infty` | ∞ | +`\wedge` | ∧ | `\vee` | ∨ | +`\neg` `\not` | ¬ | | | +`\bot` | ⊥ | `\top` | ⊤ | +`\nabla` | ∇ | `\varnothing` | ∅ | +`\angle` | ∠ | `\measuredangle` | ∡ | +`\surd` | √ | `\forall` | ∀ | +`\exists` | ∃ | `\nexists` | ∄ | + +#### Relational Symbols +| LaTex | | LaTex | | +|------------------:|----------------|------------------:|----------:| +| `\hookrightarrow` | ↪ | `\Rightarrow` | ⇒ | +| `\rightarrow` | → | `\Leftrightarrow` | ⇔ | +| `\nrightarrow` | ↛ | `\mapsto` | $\mapsto$ | +| `\geq` | ≥ | `\leq` | ≤ | +| `\equiv` | ≡ | `\sim` | ∼ | +| `\gg` | ≫ | `\ll` | ≪ | +| `\subset` | ⊂ | `\subseteq` | ⊆ | +| `\in` | ∈ | `\notin` | ∉ | +| `\mid` | $\mid$ | `\propto` | ∝ | +| `\perp` | ⊥ | ` \parallel` | ∥ | +| `\vartriangle` | $\vartriangle$ | | | + +#### Binary operators +LaTex | | LaTex | | +------------:|---|-------:|--:| +`\wedge` | ∧ | `\vee` | ∨ | +`\neg``\not` | ¬ | | | + +#### Cumulative operators +| LaTex | | LaTex | | +|----------:|-----------|------------:|------------:| +| `\int` | ∫ | `\iint` | $\iint$ | +| `\iiint` | $\iiint$ | `\idotsint` | $\idotsint$ | +| `\prod` | $\prod$ | `\sum` | $\sum$ | +| `\bigcup` | $\bigcup$ | `\bigcap` | $\bigcap$ | + +#### Named operators +| LaTex || LaTex || +|----------:|-----------|---------:|----------| +| `\arccos` | $\arccos$ |`\injlim` |$\injlim$ | +| `\arcsin` | $\arcsin$ |`\lg` |$\lg$ | +| `\arctan` | $\arctan$ |`\lim` |$\lim$ | +| `\arg` | $\arg$ |`\liminf` |$\liminf$ | +| `\cos` | $\cos$ |`\limsup` |$\limsup$ | +| `\cosh` | $\cosh$ | `\ln` |$\ln$ | +| `\cot` | $\cot$ |`\log` |$\log$ | +| `\coth` | $\coth$ |`\max` |$\max$ | +| `\deg` | $\deg$ |`\min` |$\min$ | +| `\det` | $\det$ |`\Pr` |$\Pr$ | +| `\dim` | $\dim$ |`\projlim`|$\projlim$| +| `\exp` | $\exp$ | `\sec` |$\sec$ | +| `\gcd` | $\gcd$ | `\sin` |$\sin$ | +| `\hom` | $\hom$ | `\sinh` |$\sinh$ | +| `\inf` | $\inf$ | `\sup` |$\sup$ | \ No newline at end of file