Z Wikibooks, biblioteki wolnych podręczników.
LaTeX bardzo dobrze sprawdza się w pisaniu wzorów matematycznych.
Symbole matematyczne [ edytuj ] Litery greckie [ edytuj ] Małe litery [ edytuj ]
α
{\displaystyle \alpha \;}
β
{\displaystyle \beta \;}
γ
{\displaystyle \gamma \;}
δ
{\displaystyle \delta \;}
ϵ
{\displaystyle \epsilon \;}
ε
{\displaystyle \varepsilon \;}
ζ
{\displaystyle \zeta \;}
η
{\displaystyle \eta \;}
θ
{\displaystyle \theta \;}
ϑ
{\displaystyle \vartheta \;}
ι
{\displaystyle \iota \;}
κ
{\displaystyle \kappa \;}
λ
{\displaystyle \lambda \;}
μ
{\displaystyle \mu \;}
ν
{\displaystyle \nu \;}
ξ
{\displaystyle \xi \;}
o
{\displaystyle o\;}
π
{\displaystyle \pi \;}
ρ
{\displaystyle \rho \;}
ϱ
{\displaystyle \varrho \;}
σ
{\displaystyle \sigma \;}
ς
{\displaystyle \varsigma \;}
τ
{\displaystyle \tau \;}
υ
{\displaystyle \upsilon \;}
ϕ
{\displaystyle \phi \;}
φ
{\displaystyle \varphi \;}
χ
{\displaystyle \chi \;}
ψ
{\displaystyle \psi \;}
ω
{\displaystyle \omega \;}
Wielkie litery [ edytuj ]
Γ
{\displaystyle \Gamma \;}
Δ
{\displaystyle \Delta \;}
Θ
{\displaystyle \Theta \;}
Λ
{\displaystyle \Lambda \;}
Ξ
{\displaystyle \Xi \;}
Π
{\displaystyle \Pi \;}
Σ
{\displaystyle \Sigma \;}
Υ
{\displaystyle \Upsilon \;}
Φ
{\displaystyle \Phi \;}
Ψ
{\displaystyle \Psi \;}
Ω
{\displaystyle \Omega \;}
Pozostałe wielkie litery greckie są identyczne z odpowiednimi literami łacińskimi. Domyślnie nie są one pochylone, więc można je otrzymać poleceniem \mathrm{łacińska litera }, np. \mathrm{A} oznacza alfę (
A
{\displaystyle \mathrm {A} }
Akcenty matematyczne [ edytuj ]
o
^
{\displaystyle {\hat {o}}\;}
o
´
{\displaystyle {\acute {o}}\;}
o
~
{\displaystyle {\tilde {o}}\;}
o
ˇ
{\displaystyle {\check {o}}\;}
o
`
{\displaystyle {\grave {o}}\;}
o
˙
{\displaystyle {\dot {o}}\;}
o
¨
{\displaystyle {\ddot {o}}\;}
o
→
{\displaystyle {\vec {o}}\;}
o
˘
{\displaystyle {\breve {o}}\;}
o
¯
{\displaystyle {\bar {o}}\;}
a
b
c
^
{\displaystyle {\widehat {abc}}\;}
Poniżej przedstawione są podstawowe symbole matematyczne, domyślnie dostępne w systemie LaTeX. Dodatkowe symbole są dostępne w osobnych pakietach, np. w amslatex.
Symbole relacji [ edytuj ]
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
<
{\displaystyle <\;}
<
>
{\displaystyle >\;}
>
=
{\displaystyle =\;}
=
∥
{\displaystyle \parallel \;}
\parallel
∦
{\displaystyle \nparallel \;}
\nparallel
≤
{\displaystyle \leq \;}
\leq
≥
{\displaystyle \geq \;}
\geq
≐
{\displaystyle \doteq \;}
\doteq
≍
{\displaystyle \asymp \;}
\asymp
⋈
{\displaystyle \bowtie \;}
\bowtie
≪
{\displaystyle \ll \;}
\ll
≫
{\displaystyle \gg \;}
\gg
≡
{\displaystyle \equiv \;}
\equiv
⊢
{\displaystyle \vdash \;}
\vdash
⊣
{\displaystyle \dashv \;}
\dashv
⊂
{\displaystyle \subset \;}
\subset
⊃
{\displaystyle \supset \;}
\supset
≈
{\displaystyle \approx \;}
\approx
∈
{\displaystyle \in \;}
\in
∋
{\displaystyle \ni \;}
\ni
⊆
{\displaystyle \subseteq \;}
\subseteq
⊇
{\displaystyle \supseteq \;}
\supseteq
≅
{\displaystyle \cong \;}
\cong
⌣
{\displaystyle \smile \;}
\smile
⌢
{\displaystyle \frown \;}
\frown
⊈
{\displaystyle \nsubseteq \;}
\nsubseteq
⊉
{\displaystyle \nsupseteq \;}
\nsupseteq
≃
{\displaystyle \simeq \;}
\simeq
⊨
{\displaystyle \models \;}
\models
∉
{\displaystyle \notin \;}
\notin
⊏
{\displaystyle \sqsubset \;}
\sqsubset
⊐
{\displaystyle \sqsupset \;}
\sqsupset
∼
{\displaystyle \sim \;}
\sim
⊥
{\displaystyle \perp \;}
\perp
∣
{\displaystyle \mid \;}
\mid
⊑
{\displaystyle \sqsubseteq \;}
\sqsubseteq
⊒
{\displaystyle \sqsupseteq \;}
\sqsupseteq
∝
{\displaystyle \propto \;}
\propto
≺
{\displaystyle \prec \;}
\prec
≻
{\displaystyle \succ \;}
\succ
⪯
{\displaystyle \preceq \;}
\preceq
⪰
{\displaystyle \succeq \;}
\succeq
≠
{\displaystyle \neq \;}
\neq
∢
{\displaystyle \sphericalangle \;}
\sphericalangle
∡
{\displaystyle \measuredangle \;}
\measuredangle
∴
{\displaystyle \therefore \;}
\therefore
Operatory binarne [ edytuj ]
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
±
{\displaystyle \pm \;}
\pm
∩
{\displaystyle \cap \;}
\cap
⋄
{\displaystyle \diamond \;}
\diamond
⊕
{\displaystyle \oplus \;}
\oplus
∓
{\displaystyle \mp \;}
\mp
∪
{\displaystyle \cup \;}
\cup
△
{\displaystyle \bigtriangleup \;}
\bigtriangleup
⊖
{\displaystyle \ominus \;}
\ominus
×
{\displaystyle \times \;}
\times
⊎
{\displaystyle \uplus \;}
\uplus
▽
{\displaystyle \bigtriangledown \;}
\bigtriangledown
⊗
{\displaystyle \otimes \;}
\otimes
÷
{\displaystyle \div \;}
\div
⊓
{\displaystyle \sqcap \;}
\sqcap
◃
{\displaystyle \triangleleft \;}
\triangleleft
⊘
{\displaystyle \oslash \;}
\oslash
∗
{\displaystyle \ast \;}
\ast
⊔
{\displaystyle \sqcup \;}
\sqcup
▹
{\displaystyle \triangleright \;}
\triangleright
⊙
{\displaystyle \odot \;}
\odot
⋆
{\displaystyle \star \;}
\star
∨
{\displaystyle \vee \;}
\vee
◯
{\displaystyle \bigcirc \;}
\bigcirc
∘
{\displaystyle \circ \;}
\circ
†
{\displaystyle \dagger \;}
\dagger
∧
{\displaystyle \wedge \;}
\wedge
∙
{\displaystyle \bullet \;}
\bullet
∖
{\displaystyle \setminus \;}
\setminus
‡
{\displaystyle \ddagger \;}
\ddagger
⋅
{\displaystyle \cdot \;}
\cdot
≀
{\displaystyle \wr \;}
\wr
⨿
{\displaystyle \amalg \;}
\amalg
Logika i teoria mnogości [ edytuj ]
Symbol
Polecenie
Symbol
Polecenie
∃
{\displaystyle \exists \;}
\exists
→
{\displaystyle \rightarrow \;}
\rightarrow lub \to
∄
{\displaystyle \nexists \;}
\nexists
←
{\displaystyle \leftarrow \;}
\leftarrow lub \gets
∀
{\displaystyle \forall \;}
\forall
↦
{\displaystyle \mapsto \;}
\mapsto
¬
{\displaystyle \neg \;}
\neg
⟹
{\displaystyle \implies \;}
\implies
⊂
{\displaystyle \subset \;}
\subset
⇒
{\displaystyle \Rightarrow \;}
\Rightarrow lub \implies
⊃
{\displaystyle \supset \;}
\supset
↔
{\displaystyle \leftrightarrow \;}
\leftrightarrow
∈
{\displaystyle \in }
\in
⟺
{\displaystyle \iff \;}
\iff
∉
{\displaystyle \notin \;}
\notin
⇔
{\displaystyle \Leftrightarrow \;}
\Leftrightarrow (preferowane dla równoważności (wtw))
∋
{\displaystyle \ni \;}
\ni
⊤
{\displaystyle \top \;}
\top
∧
{\displaystyle \land \;}
\land
⊥
{\displaystyle \bot \;}
\bot
∨
{\displaystyle \lor \;}
\lor
∅
{\displaystyle \emptyset \;}
∅
{\displaystyle \varnothing \;}
∅
{\displaystyle \emptyset }
\emptyset i \varnothing[1] \O
∠
{\displaystyle \angle \;}
\angle
⇌
{\displaystyle \rightleftharpoons \;}
\rightleftharpoons
Nawiasy i separatory [ edytuj ]
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
|
{\displaystyle |\;}
| lub \mid (różnica w odstępach)
‖
{\displaystyle \|\;}
\|
/
{\displaystyle /\;}
/
∖
{\displaystyle \backslash \;}
\backslash
{
{\displaystyle \{\;}
\{
}
{\displaystyle \}\;}
\}
⟨
{\displaystyle \langle \;}
\langle
⟩
{\displaystyle \rangle \;}
\rangle
↑
{\displaystyle \uparrow \;}
\uparrow
⇑
{\displaystyle \Uparrow \;}
\Uparrow
⌈
{\displaystyle \lceil \;}
\lceil
⌉
{\displaystyle \rceil \;}
\rceil
↓
{\displaystyle \downarrow \;}
\downarrow
⇓
{\displaystyle \Downarrow \;}
\Downarrow
⌊
{\displaystyle \lfloor \;}
\lfloor
⌋
{\displaystyle \rfloor \;}
\rfloor
Inne symbole [ edytuj ]
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
∂
{\displaystyle \partial \;}
\partial
ı
{\displaystyle \imath \;}
\imath
ℜ
{\displaystyle \Re \;}
\Re
∇
{\displaystyle \nabla \;}
\nabla
ℵ
{\displaystyle \aleph \;}
\aleph
◻
{\displaystyle \square \;}
\square
ð
{\displaystyle \eth \;}
\eth
ȷ
{\displaystyle \jmath \;}
\jmath
ℑ
{\displaystyle \Im \;}
\Im
◻
{\displaystyle \Box \;}
\Box
ℶ
{\displaystyle \beth \;}
\beth
◼
{\displaystyle \blacksquare \;}
\blacksquare
ℏ
{\displaystyle \hbar \;}
\hbar
ℓ
{\displaystyle \ell \;}
\ell
℘
{\displaystyle \wp \;}
\wp
∞
{\displaystyle \infty \;}
\infty
ℷ
{\displaystyle \gimel \;}
\gimel
△
{\displaystyle \triangle \;}
\triangle
Funkcje trygonometryczne [ edytuj ]
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
Symbol
Polecenie
sin
{\displaystyle \sin \;}
\sin
arcsin
{\displaystyle \arcsin \;}
\arcsin
sinh
{\displaystyle \sinh \;}
\sinh
sec
{\displaystyle \sec \;}
\sec
cos
{\displaystyle \cos \;}
\cos
arccos
{\displaystyle \arccos \;}
\arccos
cosh
{\displaystyle \cosh \;}
\cosh
csc
{\displaystyle \csc \;}
\csc
tan
{\displaystyle \tan \;}
\tan
arctan
{\displaystyle \arctan \;}
\arctan
tanh
{\displaystyle \tanh \;}
\tanh
cot
{\displaystyle \cot \;}
\cot
arccot
{\displaystyle \operatorname {arccot} \;}
\arccot
coth
{\displaystyle \coth \;}
\coth
Jeżeli LaTeX nie zawiera polecenia dla operatora matematycznego, którego zamierzamy użyć, np. \cis (c osinus plus i razy s inus), dodaj do preambuły:
\DeclareMathOperator\cis{cis}
Możemy wówczas stosować \cis w swoim dokumencie tak jak \cos lub dowolny inny operator.
↑ Nie zdefiniowane w LaTeX 2. Należy użyć jednego z pakietów: latexsym, amsfonts, amssymb, txfonts, pxfonts, lub wasysym.
