Skip to content

Latest commit

 

History

History
390 lines (312 loc) · 12.6 KB

UnicodeSymbols.org

File metadata and controls

390 lines (312 loc) · 12.6 KB
Raw

My Unicode Symbol Translations

Top Matter

\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{UnicodeSymbols}[2019/01/30 Unicode Symbol Translations]

 \RequirePackage[utf8]{inputenc}
 \RequirePackage{newunicodechar}

 % To avoid “too many math alphabets” error.
 \newcommand\hmmax{0} % default 3
 \newcommand\bmmax{0} % default 4

 \RequirePackage{bbold}   % \mathbb{n} to make double stroke digit
 \RequirePackage{pifont}
 \RequirePackage{stmaryrd}

 \RequirePackage{amsmath, amssymb, amsthm, latexsym, amscd, enumerate, bbm, etex,nicefrac,mathrsfs}
 % Incompatible with MnSymbol.

The stmaryrd package provides two types of multiset, or bag, delimiters: thick: \lbag and \rbag; and skinny: \Lbag and \Rbag.

Lattices –Sets, Booleans, Quantifiers

Orders

% arbitrary lattice
 \newunicodechar{⊏}{\ensuremath{\sqsubset}}
 \newunicodechar{⊑}{\ensuremath{\sqsubseteq}}
 \newunicodechar{⊒}{\ensuremath{\sqsupseteq}}

% numeric
\newunicodechar{≤}{\ensuremath{\leq}}
\newunicodechar{≥}{\ensuremath{\geq}}
\newunicodechar{∣}{\ensuremath{\mid}}  % divisibily ordering

% sets
\newunicodechar{⊂}{\ensuremath{\subset}}
\newunicodechar{⊆}{\ensuremath{\subseteq}}

% logical
 \newunicodechar{⊢}{\ensuremath{\vdash}}
 \newunicodechar{⊨}{\ensuremath{\vDash}} % semantic consequence ⊨
 \newunicodechar{⊣}{\ensuremath{\dashv}}

Meets & Joins

% arbitrary lattice
 \newunicodechar{⊔}{\ensuremath{\sqcup}}
 \newunicodechar{⊓}{\ensuremath{\sqcap}}

% numeric
 \newunicodechar{↑}{\ensuremath{\uparrow}}
 \newunicodechar{↓}{\ensuremath{\downarrow}}

% boolean
 \newunicodechar{∨}{\ensuremath{\lor}}
 \newunicodechar{∧}{\ensuremath{\land}}
 \newunicodechar{⋁}{\ensuremath{\bigvee}}
 \newunicodechar{⋀}{\ensuremath{\bigwedge}}
 \newunicodechar{∃}{\ensuremath{\exists}}
 \newunicodechar{∀}{\ensuremath{\forall}}

% sets
 \newunicodechar{∩}{\ensuremath{\cap}}
 \newunicodechar{∪}{\ensuremath{\cup}}

% types
 \newunicodechar{⊎}{\ensuremath{\uplus}}  % Agda u+
 \newunicodechar{⊍}{\ensuremath{\uplus}}  % Agda u.

Extermal Elements

% arbitrary lattice
\newunicodechar{⊥}{\ensuremath{\bot}}
\newunicodechar{⊤}{\ensuremath{\top}}

% numeric
\newunicodechar{∞}{\ensuremath{\infty}}

% sets
\newunicodechar{ø}{\ensuremath{\emptyset}}
\newunicodechar{∅}{\ensuremath{\emptyset}}

Pseudo-Complements

% arbitrary lattice
 \newunicodechar{→}{\ensuremath{\to}}
 \newunicodechar{←}{\ensuremath{\leftarrow}}
 \newunicodechar{⟶}{\ensuremath{\longrightarrow}} % pseudo-complement
 \newunicodechar{̣}{\ensuremath{\hspace{-1em}.}\;\;\,} %% to be used in compound symbol: →̣
                                                       %% to form a natural transformation

% boolean
 \newunicodechar{⇒}{\ensuremath{\;\Rightarrow\;}}
 \newunicodechar{⇐}{\ensuremath{\;\Leftarrow\;}}
 \newunicodechar{¬}{\ensuremath{\lnot}}

% sets
\newunicodechar{∈}{\ensuremath{\in}}
\newunicodechar{∼}{\ensuremath{\sim}}

Equality-Like Symbols

\newunicodechar{≠}{\ensuremath{\neq}}
\newunicodechar{≡}{\ensuremath{\equiv}}
\newunicodechar{≢}{\ensuremath{\not\equiv}}
\newunicodechar{⇔}{\ensuremath{\iff}}
\newunicodechar{≈}{\ensuremath{\approx}}
\newunicodechar{≅}{\ensuremath{\cong}}
\newunicodechar{≔}{\ensuremath{:\!=}}
% \newunicodechar{8788}{\ensuremath{\mathrel{{:}{=}}}} % ≔

Brackets

\newunicodechar{⌊}{\ensuremath{\lfloor}}
\newunicodechar{⌋}{\ensuremath{\rfloor}}

\newunicodechar{⌈}{\ensuremath{\lceil}}
\newunicodechar{⌉}{\ensuremath{\rceil}}

\newunicodechar{⟪}{\ensuremath{\langle\!\langle}}
\newunicodechar{⟫}{\ensuremath{\rangle\!\rangle}}

\newunicodechar{⟨}{\ensuremath{\langle}}
\newunicodechar{⟩}{\ensuremath{\rangle}}

\newunicodechar{⦇}{\ensuremath{(\!|}}
\newunicodechar{⦈}{\ensuremath{|\!)}}
%
% \newunicodechar{10631}{\ensuremath{(\hspace{-0.4ex}|}} % ⦇
% \newunicodechar{10632}{\ensuremath{|\hspace{-0.4ex})}} % ⦈

\newunicodechar{⟅}{\ensuremath{\Lbag}}
\newunicodechar{⟆}{\ensuremath{\Rbag}}

\newunicodechar{⦃}{\ensuremath{\{\!∣}}
\newunicodechar{⦄}{\ensuremath{∣\!\}}}

Greek Letters

\newunicodechar{τ}{\ensuremath{\tau}}
\newunicodechar{λ}{\ensuremath{\lambda}}
\newunicodechar{γ}{\ensuremath{\gamma}}
\newunicodechar{δ}{\ensuremath{\delta}}
\newunicodechar{σ}{\ensuremath{\sigma}}
\newunicodechar{Θ}{\ensuremath{\theta}}
\newunicodechar{η}{\ensuremath{\eta}}
\newunicodechar{ε}{\ensuremath{\epsilon}}
\newunicodechar{μ}{\ensuremath{\mu}}
\newunicodechar{φ}{\ensuremath{\phi}}
\newunicodechar{π}{\ensuremath{\pi}}

% capital letters
\newunicodechar{Φ}{\ensuremath{\Phi}}
\newunicodechar{Σ}{\ensuremath{\mathop{\Sigma}}}
\newunicodechar{Γ}{\ensuremath{\Gamma}}
\newunicodechar{Π}{\ensuremath{\Pi}}

Compositional Operators

 \newunicodechar{⊕}{\ensuremath{\oplus}}
 \newunicodechar{⊗}{\ensuremath{\otimes}}
 \newunicodechar{⊙}{\ensuremath{\odot}}
 \newunicodechar{⨾}{\ensuremath{\mathop{\fatsemi}}}
 \newunicodechar{∘}{\ensuremath{\circ}} % mathop ?

\newunicodechar{╲}{\ensuremath{\backslash}}  % under
\newunicodechar{╱}{\ensuremath{/}}  % over

 \newunicodechar{∙}{\ensuremath{\circ}} % Looks like, but is not bullet!

 \newunicodechar{⋆}{\ensuremath{\star}}
 \newunicodechar{×}{\ensuremath{\times}}
 \newunicodechar{•}{\ensuremath{\bullet}}
 \newunicodechar{∶}{\ensuremath{:}} % ghost colon, Agda input “\:”.

 \newunicodechar{◁}{\ensuremath{\lhd}}
 \newunicodechar{▵}{\ensuremath{\triangle}}
 \newunicodechar{▿}{\ensuremath{\triangledown}}

 % Z-notation: (⊕ dummies ❙ range • body)
 \def\with{\kern0.7em \withrule \kern0.7em }
 \def\withrule{\vrule height1.57ex depth0.43ex width0.12em}
 \newunicodechar{❙}{\ensuremath{\mathop{\with}}}

 \newunicodechar{♥}{\ensuremath{\heartsuit}}
 \newunicodechar{★}{ {\color{red}$\bigstar$} } % red ★

Types – $ℕ, 𝔹$, etc

\newunicodechar{𝒩}{\ensuremath{\mathcal{N}}}
\newunicodechar{ℕ}{\ensuremath{\mathbb{N}}}
\newunicodechar{ℤ}{\ensuremath{\mathbb{Z}}}
\newunicodechar{𝔹}{\ensuremath{\mathbb{B}}}
\newunicodechar{𝟙}{\ensuremath{\mathbb{1}}}

Subscript and Superscript

 \newunicodechar{ᵥ}{\ensuremath{_\mathcal{V}}} % subscript v
 \newunicodechar{ₗ}{\ensuremath{_\ell}} % subscript l

 \newunicodechar{ᵒ}{\ensuremath{^o}}
 \newunicodechar{ᵖ}{\ensuremath{^p}}

 \newunicodechar{₊}{\ensuremath{_+}}

 \newunicodechar{₀}{\ensuremath{_0}}
 \newunicodechar{₁}{\ensuremath{_1}}
 \newunicodechar{₂}{\ensuremath{_2}}
 \newunicodechar{₃}{\ensuremath{_3}}
 \newunicodechar{₄}{\ensuremath{_4}}
 \newunicodechar{₅}{\ensuremath{_5}}

 \newunicodechar{ₐ}{\ensuremath{_a}}
% I have no access to subscript b,c,d with my “current” agda input mode -- to fix!
 \newunicodechar{ₑ}{\ensuremath{_e}}
% I have no access to subscript f,g with my “current” agda input mode -- to fix!
 \newunicodechar{ₕ}{\ensuremath{_h}}
 \newunicodechar{ᵢ}{\ensuremath{_i}}
 \newunicodechar{ⱼ}{\ensuremath{_j}}
 \newunicodechar{ₖ}{\ensuremath{_k}}
 \newunicodechar{ₗ}{\ensuremath{_l}}
 \newunicodechar{ₘ}{\ensuremath{_m}}
 \newunicodechar{ₙ}{\ensuremath{_n}}
 \newunicodechar{ₒ}{\ensuremath{_o}}
 \newunicodechar{ₚ}{\ensuremath{_p}}
% I have no access to subscript q with my “current” agda input mode -- to fix!
 \newunicodechar{ᵣ}{\ensuremath{_r}}
 \newunicodechar{ₛ}{\ensuremath{_s}}
 \newunicodechar{ₜ}{\ensuremath{_t}}
 \newunicodechar{ᵤ}{\ensuremath{_u}}
 \newunicodechar{ᵥ}{\ensuremath{_v}}
% I have no access to subscript w with my “current” agda input mode -- to fix!
 \newunicodechar{ₓ}{\ensuremath{_x}}
% I have no access to subscript y with my “current” agda input mode -- to fix!
% I have no access to subscript z with my “current” agda input mode -- to fix!

\mathcal Calligraphy

\newunicodechar{𝓁}{\ensuremath{\mathcal{l}}}
\newunicodechar{𝓇}{\ensuremath{\mathcal{r}}}
\newunicodechar{ℳ}{\ensuremath{\mathcal{M}}}
\newunicodechar{ℱ}{\ensuremath{\mathcal{F}}}
\newunicodechar{𝓊}{\ensuremath{u}}
\newunicodechar{𝓃}{\ensuremath{n}}
\newunicodechar{𝒸}{\ensuremath{c}}
\newunicodechar{𝒜}{\ensuremath{\mathcal{A}}}
\newunicodechar{ℬ}{\ensuremath{\mathcal{B}}}
\newunicodechar{𝒞}{\ensuremath{\mathcal{C}}}
\newunicodechar{𝒟}{\ensuremath{\mathcal{D}}}
\newunicodechar{ℰ}{\ensuremath{\mathcal{E}}}
\newunicodechar{ℯ}{\ensuremath{e}}
\newunicodechar{ℊ}{\ensuremath{g}}
\newunicodechar{𝓁}{\textit{l}}
\newunicodechar{ℒ}{\ensuremath{\mathcal{L}}}
\newunicodechar{ℛ}{\ensuremath{\mathcal{R}}}
\newunicodechar{𝒮}{\ensuremath{\mathcal{S}}}
\newunicodechar{𝒯}{\ensuremath{\mathcal{T}}}
\newunicodechar{𝓉}{\ensuremath{t}}
\newunicodechar{𝒬}{\ensuremath{\mathcal{Q}}}

Math Italics

\newunicodechar{𝒶}{\ensuremath{\mathit{a}}}
\newunicodechar{𝒷}{\ensuremath{\mathit{b}}}
\newunicodechar{𝒸}{\ensuremath{\mathit{c}}}
\newunicodechar{𝒹}{\ensuremath{\mathit{d}}}
\newunicodechar{ℯ}{\ensuremath{\mathit{e}}}
\newunicodechar{𝒻}{\ensuremath{\mathit{f}}}
\newunicodechar{ℊ}{\ensuremath{\mathit{g}}}
\newunicodechar{𝒽}{\ensuremath{\mathit{h}}}
\newunicodechar{𝒾}{\ensuremath{\mathit{i}}}
\newunicodechar{𝒿}{\ensuremath{\mathit{j}}}
\newunicodechar{𝓀}{\ensuremath{\mathit{k}}}
\newunicodechar{𝓁}{\ensuremath{\mathit{l}}}
\newunicodechar{𝓂}{\ensuremath{\mathit{m}}}
\newunicodechar{𝓃}{\ensuremath{\mathit{n}}}
\newunicodechar{ℴ}{\ensuremath{\mathit{o}}}
\newunicodechar{𝓅}{\ensuremath{\mathit{p}}}
\newunicodechar{𝓆}{\ensuremath{\mathit{q}}}
\newunicodechar{𝓇}{\ensuremath{\mathit{r}}}

Math Bold

\newunicodechar{𝑰}{\ensuremath{\mathbf{I}}}
\newunicodechar{𝑴}{\ensuremath{\mathbf{M}}}
\newunicodechar{𝑻}{\ensuremath{\mathbf{T}}}

Misc

 \newunicodechar{─}{\text{\textemdash}}
 \DeclareUnicodeCharacter{9472}{---} % \---

 % \DeclareUnicodeCharacter{8759}{\ensuremath{::\!}} % ∷
 \newunicodechar{∷}{\ensuremath{:\,:}}
 \newunicodechar{⋯}{\ensuremath{\cdots}}
 \newunicodechar{⋮}{\ensuremath{\vdots}}

\newunicodechar{⌣}{\ensuremath{\smile}}
\newunicodechar{˘}{\ensuremath{^\smile}}
\newunicodechar{′}{'}
\newunicodechar{″}{''}
\newunicodechar{∎}{\ensuremath{\qedsymbol}}

\newunicodechar{↦}{\ensuremath{\mapsto}}

% In LaTeX documents, the "¿" is written as ?` (question mark, backtick) or \textquestiondown,
% and "¡" as !` (exclamation point, backtick) or \textexclamdown.
 \newunicodechar{¡}{\text{!`}}
 \newunicodechar{¿}{\text{?`}}
 \newunicodechar{⁉}{ {\color{red}\large !? } }

 \newunicodechar{↛}{\ensuremath{\nrightarrow}} % partial functions
 \newunicodechar{𝓏}{\ensuremath{\mathfrak{z}}} % fancy small z
 \newunicodechar{⸲}{\ensuremath{\,}} % \, %% an invisible space
 \newunicodechar{✗}{\ding{55}}