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UnicodeMath.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
<script defer src="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js" integrity="sha384-K3vbOmF2BtaVai+Qk37uypf7VrgBubhQreNQe9aGsz9lB63dIFiQVlJbr92dw2Lx" crossorigin="anonymous"></script>
<script defer src="https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js" integrity="sha384-kmZOZB5ObwgQnS/DuDg6TScgOiWWBiVt0plIRkZCmE6rDZGrEOQeHM5PcHi+nyqe" crossorigin="anonymous"
onload="renderMathInElement(document.body,{delimiters: [{left: '$$', right: '$$', display: true},{left: '$', right: '$', display: false},]});"></script>
<style>
.katex { font-size: 1.1em; }
body { margin: 50px; }
</style>
</head>
<body>
<h3>Unicode examples</h3>
$
\gdef\and{\text{ and }}
\gdef\or{\text{ or }}
\gdef\Not{\text{ not }}
\gdef\forAll{\text{ for all }}
\gdef\forSome{\text{ for some }}
\gdef\if{\text{ if }}
\gdef\then{\text{ then }}
\gdef\else{\text{ else }}
\gdef\is{\text{ is }}
\gdef\t#1{\text{#1}}
$
$𝔹 = \{𝐓, 𝐅\}$</br>
$ℕ = \{0,1,2,…\} \or ℕ = \{1,2,3,…\}$</br>
$A ⊆ B ⟺ ∀x(x ∈ A ⟹ x ∈ B)$</br>
$A = B ⟺ ∀x(x ∈ A ⟺ x ∈ B) ⟺ A ⊆ B \and B ⊆ A$</br>
$A ⊂ B ⟺ A ⊆ B \and A ≠ B$</br>
$∅ = \{\}$</br>
$∀x(x ∉ ∅)$</br>
$\{1,2,2,1\} = \{1,2\}$</br>
$𝒫(A) = \{S ∣ S ⊆ A\}$</br>
$(a,b) = (c,d) ⟺ a=c \and b=d$</br>
$A × B = \{(a, b) ∣ a ∈ A \and b ∈ B\}$</br>
$(a_1,…,a_n) = (b_1,…,b_n) ⟺ ∀i, a_i = b_i$</br>
$A_1 × ⋯ × A_n = \{(a_1,…,a_n) ∣ a_i ∈ A_i \forAll i ∈ \{1,…,n\}\}$</br>
$A^n = \{(a_1,…,a_n) ∣ a_i ∈ A \forAll i = 1,…,n\} = A × ⋯ × A$</br>
$A ∪ B = \{x ∣ x ∈ A \or x ∈ B\} \and ⋃_{i∈I} A_i = \{x ∣ x ∈ A_i \forSome i ∈ I\}$</br>
$A ∩ B = \{x ∣ x ∈ A \and x ∈ B\}$</br>
$A − B = \{x ∣ x ∈ A \and x ∉ B\}$</br>
$A ⊕ B = \{x ∣ x ∈ A∪B \and x ∉ A∩B\}$</br>
$f : A → B ⟺ ∀x∈A, ∃!y∈B, f(x)=y$</br>
$f : ℝ → ℝ \and S ⊆ ℝ$</br>
$f[S] = \{f(x) ∣ x ∈ S\}$</br>
$f \is \t{ increasing } ⟺ (a < b ⟹ f(a) ≤ f(b))$</br>
$(a,b] = \{x ∣ a < x ≤ b\}$</br>
$⌊\_⌋ : ℝ → ℤ$ </br>
$⌊x⌋ = n ⟺ n ∈ ℤ \and n ≤ x < n+1$</br>
$|x| = −x \if x < 0 \else x$</br>
$x = a/b ⟺ bx = a \and b ≠ 0$</br>
$(f+g)(x) = f(x) + g(x)$</br>
$(fg)(x) = f(x)g(x)$</br>
$(f/g)(x) = f(x)/g(x) \if g(x) ≠ 0$</br>
$(f∘g)(x) = f(g(x))$</br>
$id_A : A → A \and ∀x, id_A(x) = x$</br>
$graph(f) = \{(x,y) ∣ f(x) = y\}$</br>
$asso(⋅) = ((x⋅y)⋅z=x⋅(y⋅z))$</br>
$comm(⋅) = (x⋅y=y⋅x)$</br>
$idem(⋅) = (x⋅x=x)$</br>
$Sgrp(⋅) = \{asso( ⋅)\}$</br>
$CSgrp(⋅) = Sgrp(⋅) ∪ \{comm(⋅)\}$</br>
$Slat(⋅) = CSgrp(⋅) ∪ \{idem(⋅)\}$</br>
$Lat(∨,∧) = Slat(∨) ∪ Slat(∧) ∪ \{(x ∧ y) ∨ x = x,\ (x ∨ y) ∧ x = x\}$</br>
$𝐋 = ⟨L,∨,∧⟩ \is \t{ a lattice }\if 𝐋 ⊨ Lat(∨,∧)$</br>
Math fonts A</br>
$𝔸 BbbA$</br>
$𝐀 mbfA$</br>
<pre>
$𝔄 mfrakA, 𝕬 mbffrakA$</br>
$𝐴 mitA, 𝑨 mbfitA$</br>
$𝖠 msansA, 𝗔 mbfsansA, 𝘈 mitsansA, 𝘼 mbfitsansA$</br>
$𝒜 mscrA, 𝓐 mbfscrA$</br>
$𝙰 mttA$</br>
</pre>
<h3>Greek alphabet</h3>
$α alpha$</br>
$β beta$</br>
$χ chi$</br>
$δ delta, Δ Delta$</br>
$γ gamma, Γ Gamma$</br>
$ϵ epsilon, ɛ varepsilon$</br>
$η eta$</br>
$κ kappa$</br>
$λ lambda, Λ Lambda$</br>
$μ mu$</br>
$ν nu$</br>
$ω omega, Ω Omega$</br>
$ϕ phi, φ varphi, Φ Phi$</br>
$π pi, Π Pi$</br>
$ψ psi, Ψ Psi$</br>
$ρ rho$</br>
$σ sigma, Σ Sigma$</br>
$τ tau$</br>
$θ theta, ϑ vartheta, Θ Theta$</br>
$υ upsilon$</br>
$ξ xi, Ξ Xi$</br>
$ζ zeta$</br>
<h3>Logic symbols</h3>
$¬ neg, ∨ vee, ∧ wedge$</br>
$⟹ Longrightarrow, ⟸ Longleftarrow$</br>
$⟺ Longleftrightarrow$</br>
$∀ forall, ∃ exists, ∄ nexists$</br>
$◊ lozenge, □ square$</br>
$⊢ vdash, ⊬ nvdash, ⊩ Vdash$</br>
$⊨ vDash, ⊭ nvDash, ⊧ models$</br>
$↯ downzigzagarrow$</br>
$∴ therefore, ∎ QED$</br>
<h3>Set symbols</h3>
$∈ in, ∉ notin$</br>
$∋ ni, ∌ nni$</br>
$∅ emptyset, ℘ wp$</br>
$⊂ subset, ⊄ nsubset$</br>
$⊆ subseteq, ⊈ nsubseteq, ⊊ subsetneq$</br>
$⊃ supset, ⊅ nsupset$</br>
$⊇ supseteq, ⊉ nsupseteq, ⊋ supsetneq$</br>
$∩ cap, ∪ cup, ⊎ uplus$</br>
$∖ setminus, ∁ complement$</br>
$⋂ bigcap, ⋃ bigcup, ⨄ biguplus$</br>
$ℵ aleph, ℶ beth$</br>
<h3>Infix operations +, -, *, /, %, ^, _, ;</h3>
$⩃ barcap, ⩂ barcup$</br>
$⊽ barvee, ⊼ barwedge$</br>
$⋅ cdot, ∘ circ, • bullet$</br>
$÷ div, ∸ dotminus, ⨪ minusdot$</br>
$∓ mp, ± pm$</br>
$⊙ odot, ⊖ ominus, ⊕ oplus$</br>
$⊘ oslash, ⦸ obslash$</br>
$⊓ sqcap, ⊔ sqcup, ⨿ amalg$</br>
$× times, ⋉ ltimes, ⋊ rtimes, ⋈ bowtie$</br>
$◃ triangleleft, ▹ triangleright$</br>
$⅋ upand, ≀ wr$</br>
<h3>Functions cos, sin, tan, cot, csc, sec, log, exp, ln</h3>
$ℑ Im, ℜ Re$</br>
$√ sqrt, ∛ cbrt, ∜ fourthroot$</br>
<h3>Infix relations =, <, >, |, :</h3>
$≈ approx, ≅ cong, ≡ equiv$</br>
$≤ le, leq, ≰ nleq, ≥ ge, geq, ≱ ngeq$</br>
$≦ leqq, ≧ geqq$</br>
$≪ ll, ≫ gg$</br>
$≠ ne, neq$</br>
$≯ ngtr, ≮ nless$</br>
$∣ mid, ∤ nmid$</br>
$≺ prec, ⊀ nprec$</br>
$⪯$ preceq, $⪯̸$ npreceq</br>
$≻ succ, ⊁ nsucc$</br>
$⪰$ succeq, $⪰̸$ nsucceq</br>
$∥ parallel, ∦ nparallel$</br>
$∝ propto, ∼ sim$</br>
$⊏ sqsubset, ⊑ sqsubseteq$</br>
$⊐ sqsupset, ⊒ sqsupseteq$</br>
<h3>Operators lim, sup, inf, d/d, max, min</h3>
$○ bigcirc, ⨀ bigodot$</br>
$⨁ bigoplus, ⨂ bigotimes$</br>
$⨅ bigsqcap, ⨆ bigsqcup$</br>
$★ bigstar, ⨉ bigtimes, ⨃ bigcupdot$</br>
$⋁ bigvee, ⋀ bigwedge$</br>
$∫ int, ∬ iint, ∭ iiint, ⨌ iiiint$</br>
$∮ oint, ∯ oiint, ∰ oiiint$</br>
$∂ partial, ∇ del$</br>
$∏ prod, ∑ sum, ∐ coprod$</br>
<h3>Arrows</h3>
$↓ downarrow, ↑ uparrow, ↕ updownarrow$</br>
$⇓ Downarrow, ⇑ Uparrow, ⇕ Updownarrow$</br>
$↪ hookrightarrow, ↣ rightarrowtail, ↠ twoheadrightarrow$</br>
$↦ mapsto, ↤ mapsfrom$</br>
$→ to, rightarrow, ← leftarrow, ↔ leftrightarrow$</br>
$⇒ Rightarrow, ⇐ Leftarrow, ⇔ Leftrightarrow$</br>
<h3>Brackets (, ), [, ], \{, \}</h3>
$⟨ langle, ⟩ rangle$</br>
$⌈ lceil, ⌉ rceil$</br>
$⌊ lfloor, ⌋ rfloor$</br>
$⟦ llbracket, ⟧ rrbracket$</br>
<h3>Other !, %@, #, $, %, ?, ., ', `, ~$</h3>
$∠ angle, ⦜ Angle$</br>
$⊥ bot, ⊤ top$</br>
$̆ breve, ̌ check, ̂ hat,$ %\vec does not work??$</br>
$✓ checkmark$</br>
$♣ clubsuit, ♢ diamondsuit, ♡ heartsuit, ♠ spadesuit$</br>
$† dagger$</br>
$° degree$</br>
$… dots, ⋰ adots, ⋯ cdots, ⋱ ddots$</br>
$ℓ ell$</br>
$€ euro$</br>
$♭ flat, ♯ sharp$</br>
$⌢ frown, ⌣ smile$</br>
$ħ hbar$</br>
$∞ infty$
</pre>
</body>
</html>