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Blahtex manual
PagesやKeynoteの挿入>方程式…
やGoogle Colaboratoryで数式を書くときはLATEXの形式で書くことになる。ここではBlahtexのmanualを基に簡単な数式の書き方を説明する。
Environment
\begin{matrix} a&b\\ c&d \end{matrix} | abcd | \begin{pmatrix} a&b\\ c&d \end{pmatrix} | (abcd) |
\begin{bmatrix} a&b\\ c&d \end{bmatrix} | [abcd] | \begin{Bmatrix} a&b\\ c&d \end{Bmatrix} | {abcd} |
\begin{vmatrix} a&b\\ c&d \end{vmatrix} | |abcd| | \begin{Vmatrix} a&b\\ c&d \end{Vmatrix} | ‖abcd‖ |
\varphi(x)=\begin{cases} \mathrm{e}^{\lambda x}&(x<0)\\ \mathrm{e}^{-\lambda x}&(x\ge 0) \end{cases} | φ(x)={eλx(x<0)e−λx(x≥0) |
\begin{aligned} x^2+y^2&=r^2\\ y&=\pm\sqrt{r^2-x^2} \end{aligned} | x2+y2=r2y=±√r2−x2 |
Miscellaneous
√x
aabcdb
ab
Bba
⧸4
Colour
yellowredmagentabluegreencyanblackwhite GreenYellow Yellow yellow Goldenrod Dandelion Apricot Peach Melon YellowOrange Orange BurntOrange Bittersweet RedOrange Mahogany Maroon BrickRed Red red OrangeRed RubineRed WildStrawberry Salmon CarnationPink Magenta magenta VioletRed Rhodamine Mulberry RedViolet Fuchsia Lavender Thistle Orchid DarkOrchid Purple Plum Violet RoyalPurple BlueViolet Periwinkle CadetBlue CornflowerBlue MidnightBlue NavyBlue RoyalBlue Blue blue Cerulean Cyan cyan ProcessBlue SkyBlue Turquoise TealBlue Aquamarine BlueGreen Emerald JungleGreen SeaGreen Green green ForestGreen PineGreen LimeGreen YellowGreen SpringGreen OliveGreen RawSienna Sepia Brown Tan Gray Black black White white
GreenYellowYellowGoldenrodDandelionApricotPeachMelonYellowOrangeOrangeBurntOrangeBittersweetRedOrangeMahoganyMaroonBrickRedRedOrangeRedRubineRedWildStrawberrySalmonCarnationPinkMagentaVioletRedRhodamineMulberryRedVioletFuchsiaLavenderThistleOrchidDarkOrchidPurplePlumVioletRoyalPurpleBlueVioletPeriwinkleCadetBlueCornflowerBlueMidnightBlueNavyBlueRoyalBlueBlueCeruleanCyanProcessBlueSkyBlueTurquoiseTealBlueAquamarineBlueGreenEmeraldJungleGreenSeaGreenGreenForestGreenPineGreenLimeGreenYellowGreenSpringGreenOliveGreenRawSiennaSepiaBrownTanGrayBlackWhite←White
Spacing
a b | ab |
a\text{ }b | a b |
a\,b | ab |
a\!b | ab |
a\ b | a b |
a\>b | ab |
a\quad b | ab |
a\qquad b | ab |
Accents
ˆa ^aa ˙a ¨a ˉa ¯aa aaa_ A⏞BCDEF ABCDEF⏟GHI ←ABC →ABC ↔ABC ˇa ˊa ˊa →a ˘a ˜a ~AB
Named operators
this(x) \operatornamewithlimits inf lim sup lim inf inj lim proj lim ¯lim lim_ lim→ lim← min max gcd det Pr ker hom dim arg sin cos sec csc tan cot arcsin arccos arctan sinh cosh tanh coth log lg ln exp deg amodb mod a(modb)
Escaped characters
_ & $ # % { }
Greek letters
α\alphaβ\betaγ\gammaδ\deltaϵ\epsilonε\varepsilonζ\zetaη\etaϑ\varthetaθ\thetaι\iotaκ\kappaϰ\varkappaλ\lambdaμ\muν\nuπ\piϖ\varpiρ\rhoϱ\varrhoσ\sigmaς\varsigmaτ\tauυ\upsilonϕ\phiφ\varphiχ\chiψ\psiω\omegaξ\xiϝ\digammaΓ\GammaΔ\DeltaΘ\ThetaΛ\LambdaΠ\PiΣ\SigmaΥ\UpsilonΦ\PhiΨ\PsiΩ\OmegaΞ\Xi
Various mathematical symbols
∗ ⟹ ¬ ≠ ≥ ≤ ∧ ∨ ← → | | | ‖ ‖ ‖ ⌊ ⌋ ⌈ ⌉ { } ⟨ ⟩ [ ] ℵ ℶ ℷ ℸ ℘ ℓ \P ı ∀ ∃ Ⅎ ⅁ ∂ ℜ ℑ ← → ⟵ ⟶ ⇐ ⇒ ⟸ ⟹ ↦ ⟼ ↔ ⇔ ⟷ ⟺ ↑ ⇑ ↓ ⇓ ↕ ⇕ ↘ ↗ ↙ ↖ ↪ ↩ ↾ ↿ ⇂ ⇃ ⇀ ⇁ ↼ ↽ ↚ ↛ ⊃ ⊂ ⊇ ⊆ ⊐ \sqsubset \sqsupseteq \sqsubseteq \supsetneq \subsetneq \in \ni \notin \iff \mid \sim \simeq \approx \propto \equiv \cong \neq \ll \gg \geq \leq \triangleleft \triangleright \trianglelefteq \trianglerighteq \models \vdash \Vdash \vDash \lesssim \nless \ngeq \nleq \times \div \wedge \vee \oplus \otimes \cap \cup \sqcap \sqcup \smile \frown \smallsmile \smallfrown \setminus \smallsetminus \And \star \triangle \wr \infty \circ \hbar \lnot \nabla \prime \backslash \pm \mp \emptyset \varnothing \S \angle \colon \Diamond \nmid \square \Box \checkmark \complement \eth \hslash \mho \flat \sharp \natural \bullet \dagger \ddagger \clubsuit \spadesuit \heartsuit \diamondsuit \top \bot \perp \ldots \cdot \cdots \vdots \ddots \dots \dotsb \circledR \yen \maltese \circledS \Bbbk \jmath \ulcorner \urcorner \llcorner \lrcorner \dashrightarrow \dashleftarrow \backprime \vartriangle \blacktriangle \triangledown \blacktriangledown \blacksquare \lozenge \blacklozenge \bigstar \sphericalangle \measuredangle \dotplus \ltimes \rtimes \Cap \leftthreetimes \rightthreetimes \Cup \barwedge \curlywedge \veebar \curlyvee \doublebarwedge \boxminus \circleddash \boxtimes \circledast \boxdot \circledcirc \boxplus \centerdot \divideontimes \intercal \leqq \geqq \leqslant \geqslant \eqslantless \eqslantgtr \gtrsim \lessapprox \gtrapprox \approxeq \eqsim \lessdot \gtrdot \lll \ggg \lessgtr \gtrless \lesseqgtr \gtreqless \lesseqqgtr \gtreqqless \doteqdot \eqcirc \risingdotseq \circeq \fallingdotseq \triangleq \backsim \thicksim \backsimeq \thickapprox \subseteqq \supseteqq \Subset \Supset \preccurlyeq \succcurlyeq \curlyeqprec \curlyeqsucc \precsim \succsim \precapprox \succapprox \Vvdash \shortmid \shortparallel \bumpeq \between \Bumpeq \varpropto \backepsilon \blacktriangleleft \blacktriangleright \therefore \because \ngtr \nleqslant \ngeqslant \nleqq \ngeqq \lneqq \gneqq \lvertneqq \gvertneqq \lnsim \gnsim \lnapprox \gnapprox \nprec \nsucc \npreceq \nsucceq \precneqq \succneqq \precnsim \succnsim \precnapprox \succnapprox \nsim \ncong \nshortmid \nshortparallel \nmid \nparallel \nvdash \nvDash \nVdash \nVDash \ntriangleleft \ntriangleright \ntrianglelefteq \ntrianglerighteq \nsubseteq \nsupseteq \nsubseteqq \nsupseteqq \subsetneq \supsetneq \varsubsetneq \varsupsetneq \subsetneqq \supsetneqq \varsubsetneqq \varsupsetneqq \leftleftarrows \rightrightarrows \leftrightarrows \rightleftarrows \Lleftarrow \Rrightarrow \twoheadleftarrow \twoheadrightarrow \leftarrowtail \rightarrowtail \looparrowleft \looparrowright \leftrightharpoons \rightleftharpoons \curvearrowleft \curvearrowright \circlearrowleft \circlearrowright \Lsh \Rsh \upuparrows \downdownarrows \multimap \rightsquigarrow \leftrightsquigarrow \nLeftarrow \nRightarrow \nleftrightarrow \nLeftrightarrow \pitchfork \nexists \lhd \rhd \unlhd \unrhd \leadsto \uplus \diamond \bigtriangleup \bigtriangledown \ominus \oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq \dashv \asymp \doteq \parallel \bowtie \surd \doublecap \restriction \llless \gggtr \Doteq \doublecup \dasharrow \vartriangleleft \vartriangleright \Join
Large operators
\sum \prod \int \iint \iiint \iiiint \oint \bigcap \bigodot \bigcup \bigotimes \coprod \bigsqcup \bigoplus \bigvee \biguplus \bigwedge