%% Note that this file is UTF-8 encoded -*- coding: utf-8 -*- %% -- modified manmac macros \outer\def\begindisplay{\obeylines\startdisplay} {\obeylines\gdef\startdisplay#1 {\catcode`\^^M=5$$#1\halign\bgroup\indent##\hfil&&\qquad##\hfil\cr}} \chardef\other=12 \def\ttverbatim{\begingroup \catcode`\\=\other \catcode`\{=\other \catcode`\}=\other \catcode`\$=\other \catcode`\&=\other \catcode`\#=\other \catcode`\%=\other \catcode`\~=\other \catcode`\_=\other \catcode`\^=\other \obeyspaces \obeylines \tt} \outer\def\begintt{$$\let\par=\endgraf \ttverbatim \parskip=\z@ \catcode`\|=0 \rightskip-5pc \ttfinish} {\catcode`\|=0 |catcode`|\=\other % | is temporary escape character |obeylines % end of line is active |gdef|ttfinish#1^^M#2\endtt{#1|vbox{#2}|endgroup$$}} \newskip\ttglue \ttglue=.5em plus.25em minus.15em \catcode`\|=\active {\obeylines \gdef|{\ttverbatim \spaceskip\ttglue \let^^M=\ \let|=\endgroup}} \def\beginsymbols{$$%\displayindent=16pt \vbox\bgroup\halign\bgroup &\qquad\hbox to10pt{\hss$##$\hss}\enspace&\hbox to80pt{##\hss}\cr} \outer\def\enddisplay{\crcr\egroup\egroup$$} \let\endsymbols=\enddisplay %% --- \centerline{{\TeX}book, Chapter 16: Typing Math Formulas} $$ x × y ⋅ z \quad x ∘ y ∙ z \quad x ∪ y ∩ z $$ $$ x ⊔ y ⊓ z \quad x ∨ y ∧ z \quad x ± y ∓ z $$ $$ g^∘ ↦ g^∙ \quad f^*(x) ∩ f_*(y) $$ $$ x ≤ y ≠ z \quad x ∼ y ≃ z \quad x ≡ y \not≡ z $$ $$ x ⊂ y ⊆ z \quad f\colon A → B $$ \centerline{{\TeX}book, Chapter 17: More about Math} $$ ∑_{n=0}^∞ x_n = ∫_{-∞}^{∞} f(x)\,dx $$ \centerline{{\TeX}book, Chapter 18: Fine Point of Mathematics Typing} $$ \sin2θ=2\sinθ\cosθ \quad ℏ = 1.0545 × 10^{-27}\,\rm erg\,sec$$ $$ Γ_{\!2}+Δ^{\!2} \quad A_1 × A_2 × \cdots × A_n$$ % missing \cdots in u8tex.el $$ x_1x_2\ldots x_n $$ \centerline{{\TeX}book, Appendix F: Font Tables} \bigbreak \centerline{\it Lowercase Greek letters} \beginsymbols α&|\alpha|&ι&|\iota|&ϱ&|\varrho|\cr β&|\beta|&κ&|\kappa|&σ&|\sigma|\cr γ&|\gamma|&λ&|\lambda|&ς&|\varsigma|\cr δ&|\delta|&μ&|\mu|&τ&|\tau|\cr ε&|\epsilon|&ν&|\nu|&υ&|\upsilon|\cr \varepsilon&|\varepsilon|&ξ&|\xi|&ϕ&|\phi|\cr ζ&|\zeta|&o&|o|&φ&|\varphi|\cr η&|\eta|&π&|\pi|&χ&|\chi|\cr θ&|\theta|&ϖ&|\varpi|&ψ&|\psi|\cr ϑ&|\vartheta|&ρ&|\rho|&ω&|\omega|\cr \endsymbols \bigbreak \centerline{\it Uppercase Greek letters} \beginsymbols Γ&|\Gamma|&Ξ&|\Xi|&Φ&|\Phi|\cr Δ&|\Delta|&Π&|\Pi|&Ψ&|\Psi|\cr Θ&|\Theta|&Σ&|\Sigma|&Ω&|\Omega|\cr Λ&|\Lambda|&Υ&|\Upsilon|\cr \endsymbols \bigbreak \centerline{\it Miscellaneous symbols of type Ord} \beginsymbols ℵ&|\aleph|&\prime&|\prime|&∀&|\forall|\cr ℏ&|\hbar|&∅&|\emptyset|&∃&|\exists|\cr ı&|\imath|&∇&|\nabla|&¬&|\neg|\cr \jmath&|\jmath|&√&|\surd|&♭&|\flat|\cr ℓ&|\ell|&⊤&|\top|&♮&|\natural|\cr ℘&|\wp|&⊥&|\bot|&♯&|\sharp|\cr ℜ&|\Re|&∥&|\Vert|&♣&|\clubsuit|\cr %ℜ&|\Re|&∥&|\|\|&♣&|\clubsuit|\cr ℑ&|\Im|&∠&|\angle|&♢&|\diamondsuit|\cr ∂&|\partial|&△&|\triangle|&♡&|\heartsuit|\cr ∞&|\infty|&\backslash&|\backslash|&♠&|\spadesuit|\cr \endsymbols \bigbreak \centerline{\it Large operators} $$\openup3pt \vbox{\halign{&\qquad\hbox to10pt{\hss$#$\hss}\enspace& \hbox to10pt{\hss$\displaystyle#$\hss}\enspace& \hbox to60pt{#\hss}\cr ∑&∑&|\sum|&⋂&⋂&|\bigcap|& \bigodot&\bigodot&|\bigodot|\cr ∏&∏&|\prod|&⋃&⋃&|\bigcup|& \bigotimes&\bigotimes&|\bigotimes|\cr ∐&∐&|\coprod|&\bigsqcup&\bigsqcup&|\bigsqcup|& \bigoplus&\bigoplus&|\bigoplus|\cr ∫&∫&|\int|&⋁&⋁&|\bigvee|& \biguplus&\biguplus&|\biguplus|\cr ∮&∮&|\oint|&⋀&⋀&|\bigwedge|\cr }}$$ \bigbreak \centerline{\it Binary operations} \beginsymbols ±&|\pm|&∩&|\cap|&∨&|\vee|\cr ∓&|\mp|&∪&|\cup|&∧&|\wedge|\cr ∖&|\setminus|&⊎&|\uplus|&⊕&|\oplus|\cr ⋅&|\cdot|&⊓&|\sqcap|&⊖&|\ominus|\cr ×&|\times|&⊔&|\sqcup|&⊗&|\otimes|\cr ∗&|\ast|&◃&|\triangleleft|&⊘&|\oslash|\cr ⋆&|\star|&▹&|\triangleright|&⊙&|\odot|\cr ⋄&|\diamond|&≀&|\wr|&†&|\dagger|\cr ∘&|\circ|&\bigcirc&|\bigcirc|&‡&|\ddagger|\cr ∙&|\bullet|&△&|\bigtriangleup|&∐&|\amalg|\cr ÷&|\div|&▽&|\bigtriangledown|\cr \endsymbols \bigbreak \centerline{\it Relations} \beginsymbols ≤&|\leq|&≥&|\geq|&≡&|\equiv|\cr ≺&|\prec|&≻&|\succ|&∼&|\sim|\cr ≼&|\preceq|&≽&|\succeq|&≃&|\simeq|\cr ≪&|\ll|&≫&|\gg|&≍&|\asymp|\cr ⊂&|\subset|&⊃&|\supset|&≈&|\approx|\cr ⊆&|\subseteq|&⊇&|\supseteq|&≅&|\cong|\cr ⊑&|\sqsubseteq|&⊒&|\sqsupseteq|&⋈&|\bowtie|\cr ∈&|\in|&∋&|\ni|&∝&|\propto|\cr ⊢&|\vdash|&⊣&|\dashv|&⊧&|\models|\cr ⌣&|\smile|&∣&|\mid|&≐&|\doteq|\cr ⌢&|\frown|&∥&|\parallel|&⊥&|\perp|\cr \endsymbols %\bigbreak %\centerline{\it Negated relations} \bigbreak \centerline{Arrows} $$\vbox{\halign\bgroup \qquad\hbox to10pt{\hss$#$\hss}\enspace&\hbox to75pt{#\hss}& \qquad\hbox to10pt{\hss$#$\hss}\enspace&\hbox to85pt{#\hss}& \qquad\hbox to10pt{\hss$#$\hss}\enspace&\hbox to80pt{#\hss}\cr ←&|\leftarrow|&\longleftarrow&|\longleftarrow|& ↑&|\uparrow|\cr ⇐&|\Leftarrow|&\Longleftarrow&|\Longleftarrow|& ⇑&|\Uparrow|\cr →&|\rightarrow|&\longrightarrow&|\longrightarrow|& ↓&|\downarrow|\cr ⇒&|\Rightarrow|&\Longrightarrow&|\Longrightarrow|& ⇓&|\Downarrow|\cr ↔&|\leftrightarrow|&\longleftrightarrow&|\longleftrightarrow|& ↕&|\updownarrow|\cr ⇔&|\Leftrightarrow|&\Longleftrightarrow&|\Longleftrightarrow|& ⇕&|\Updownarrow|\cr ↦&|\mapsto|&\longmapsto&|\longmapsto|& ↗&|\nearrow|\cr ↩&|\hookleftarrow|&\hookrightarrow&|\hookrightarrow|& ↘&|\searrow|\cr ↼&|\leftharpoonup|&\rightharpoonup&|\rightharpoonup|& ↙&|\swarrow|\cr ↽&|\leftharpoondown|&\rightharpoondown&|\rightharpoondown|& ↖&|\nwarrow|\cr ⇌&|\rightleftharpoons|\cr \enddisplay \bigbreak \centerline{\it Openings} \beginsymbols \lbrack&|\lbrack|&⌊&|\lfloor|&⌈&|\lceil|\cr \lbrace&|\lbrace|&⟨&|\langle|\cr \endsymbols \bigbreak \centerline{\it Closings} \beginsymbols \rbrack&|\rbrack|&⌋&|\rfloor|&⌉&|\rceil|\cr \rbrace&|\rbrace|&⟩&|\rangle|\cr \endsymbols \bigbreak \centerline{\it Alternate names} $$\vbox{\halign{\indent$\hfil#\hfil$\enspace&#\hfil\enspace& (same as #)\hfil\cr ≠&|\ne| or |\neq|&|\not=|\cr ≤&|\le|&|\leq|\cr ≥&|\ge|&|\geq|\cr \{&|\{|&|\lbrace|\cr \}&|\}|&|\rbrace|\cr →&|\to|&|\rightarrow|\cr ←&|\gets|&|\leftarrow|\cr ∋&|\owns|&|\ni|\cr ∧&|\land|&|\wedge|\cr ∨&|\lor|&|\vee|\cr ¬&|\lnot|&|\neg|\cr %\vert&|\vert|&\|\cr %\Vert&|\Vert|&|\|\|\cr }}$$ \bigbreak \centerline{Non-math symbols} $$\vbox{\halign{\indent$\hfil#\hfil$\enspace&#\hfil\enspace\cr §&|\S|\cr ¶&|\P|\cr †&|\dag|\cr ‡&|\ddag|\cr }}$$ \bye