Tex

How to cite a lecture note

@misc{Cunha13,   author        = {Jo{\~a}o Cunha},   title         = {Lecture notes in Computer Assisted Diagnosis},   month         = {February},   year          = {2013},   publisher={Faculdade de Engenharia da Universidade do Porto}}

List of LaTeX mathematical symbols

scource: https://oeis.org/wiki/

Symbol

Α and α

Β and β

Γ and γ

Δ and δ

Ε, ε and 

LATEX

\Alpha and \alpha

\Beta and \beta

\Gamma and \gamma

\Delta and \delta

\Epsilon, \epsilon and \varepsilon

\Zeta and \zeta

\Eta and \eta

\Theta, \theta and \vartheta

\Iota and \iota

\Kappa, \kappa and \varkappa

\Lambda and \lambda

\Mu and \mu

Symbol

Ν and ν

Ξ and ξ

Ο and ο

Π, π and 

LATEX

\Nu and \nu

\Xi and \xi

\Omicron and \omicron

\Pi, \pi and \varpi

\Rho, \rho and \varrho

\Sigma, \sigma and \varsigma

\Tau and \tau

\Upsilon and \upsilon

\Phi, \phi and \varphi

\Chi and \chi

\Psi and \psi

\Omega and \omega

Ρ, ρ and 

Ζ and ζ

Η and η

Θ, θ and 

Σ, σ and 

Τ and τ

Υ and υ

Φ, φ, and 

Ι and ι

Κ, κ and 

Χ and χ

Ψ and ψ

Ω and ω

Λ and λ

Μ and μ

Archaic Greek letters

Symbol

 \Digamma

LATEX

\Digamma

\digamma

Unary operators

Unary operators

Symbol

LATEX

+

 

Comment

 

 

Symbol

LATEX

-

\neg

Symbol

LATEX

!

 

Comment

factorial

 

Symbol

LATEX

\#

 

Comment

primorial

 

Relation operators

Relation operators

Symbol

LATEX

<

\nless

\leq

\leqslant

\nleq

\nleqslant

\prec

\nprec

\preceq

\npreceq

\ll

\lll

\subset

\not\subset

\subseteq

\nsubseteq

\sqsubset

\sqsubseteq

Comment

is less than

is not less than

is less than or equal to

is less than or equal to

is neither less than nor equal to

is neither less than nor equal to

precedes

doesn't precede

precedes or equals

neither precedes nor equals

 

 

is a proper subset of

is not a proper subset of

is a subset of

is not a subset of

 

 

Symbol

LATEX

>

\ngtr

\geq

\geqslant

\ngeq

\ngeqslant

\succ

\nsucc

\succeq

\nsucceq

\gg

\ggg

\supset

\not\supset

\supseteq

\nsupseteq

\sqsupset

\sqsupseteq

Comment

is greater than

is not greater than

is greater than or equal to

is greater than or equal to

is neither greater than nor equal to

is neither greater than nor equal to

succeeds

doesn't succeed

succeeds or equals

neither succeeds nor equals

 

 

is a proper superset of

is not a proper superset of

is a superset of

is not a superset of

 

 

Symbol

LATEX

=

\doteq

\equiv

\approx

\cong

\simeq

\sim

\propto

\neq or \ne

Comment

is equal to

 

is equivalent to

is approximately

is congruent to

is similar or equal to

is similar to

is proportional to

is not equal to

˜

 or 

Symbol

LATEX

\parallel

\asymp

\vdash

\in

\smile

\models

\perp

Comment

is parallel with

is asymptotic to

 

is member of

 

models

is perpendicular with

Symbol

LATEX

\nparallel

\bowtie

\dashv

\ni

\frown

\notin

\mid

Comment

is not parallel with

 

 

owns, has member

 

is not member of

divides

Binary operators

Symbol

LATEX

\pm

\mp

\times

\div

\ast

\star

\dagger

\ddagger

Comment

plus or minus

minus or plus

multiplied by

divided by

asterisk

 

 

 

Symbol

LATEX

\cap

\cup

\uplus

\sqcap

\sqcup

\vee

\wedge

\cdot

Symbol

LATEX

\diamond

\bigtriangleup

\bigtriangledown

\triangleleft

\triangleright

\bigcirc

\bullet

\wr

Comment

 

 

 

 

 

 

 

 

Symbol

LATEX

\oplus

\ominus

\otimes

\oslash

\odot

\circ

\setminus

\amalg

Comment

 

 

 

 

 

 

set difference

 

Negated binary operators

Symbol

LATEX

\neq or \ne

\nless

\nleq

\nleqslant

\nleqq

\lneq

\lneqq

\lvertneqq

\lnsim

\lnapprox

\nprec

\npreceq

\precneqq

\precnsim

\precnapprox

\nsim

\nshortmid

\nmid

\nvdash

\nVdash

\ntriangleleft

\ntrianglelefteq

\nsubseteq

\nsubseteqq

\subsetneq

\varsubsetneq

\subsetneqq

\varsubsetneqq

Comment

is not equal to

is not less than

is not less than or equal to

 

 

 

 

 

 

 

does not precede

neither precedes nor equals

 

 

 

is not similar to

 

 

 

 

 

 

 

 

 

 

 

 

Symbol

LATEX

\notin

\ngtr

\ngeq

\ngeqslant

\ngeqq

\gneq

\gneqq

\gvertneqq

\gnsim

\gnapprox

\nsucc

\nsucceq

\succneqq

\succnsim

\succnapprox

\ncong

\nshortparallel

\nparallel

\nvDash

\nVDash

\ntriangleright

\ntrianglerighteq

\nsupseteq

\nsupseteqq

\supsetneq

\varsupsetneq

\supsetneqq

\varsupsetneqq

Comment

is not member of

is not greater than

is not greater than or equal to

 

 

 

 

 

 

 

does not succeed

neither succedes nor equals

 

 

 

is not congruent to

 

is not parallel with

 

 

 

 

 

 

 

 

 

 

 or 

Set and/or logic notation

Symbol

LATEX

\O or \emptyset, and \varnothing

\N

\Z

\Q

\mathbb{A}

\R

\C

\mathbb{H}

\mathbb{O}

\mathbb{S}

\in

\notin

\ni

\subset

\subseteq

\supset

\supseteq

\cup

\cap

\setminus

Comment

the empty set

set of natural numbers

set of integers

set of rational numbers

set of algebraic numbers

set of real numbers

set of complex numbers

set of quaternions

set of octonions

set of sedenions

is member of

is not member of

owns (has member)

is proper subset of

is subset of

is proper superset of

is superset of

set union

set intersection

set difference

Symbol

LATEX

\exists

\exists!

\nexists

\forall

\neg

\lor

\land

\Longrightarrow or \implies

\Rightarrow

\Longleftarrow

\Leftarrow

\iff

\Leftrightarrow

\top

\bot

Comment

there exists at least one

there exists one and only one

there is no

for all

not (logical not)

or (logical or)

and (logical and)

implies

(preferred for right implication)

is implied by (only if)

(preferred for left implication)

is equivalent to (if and only if, iff)

(preferred for equivalence)

 

 

 or , and 

 or 

Geometry

Symbol

LATEX

\overline{\rm AB}

\angle

\triangle

\cong

\sim

\|

\perp

Comment

segment

angle

triangle

congruent (same shape and size)

similar (same shape)

is parallel with

is perpendicular to

Symbol

LATEX

\overrightarrow{\rm AB}

\measuredangle

\square

\ncong

\nsim

\nparallel

\not\perp

Comment

ray (half-line)

measured angle

square

not congruent

not similar

is not parallel with

is not perpendicular to

˜

Delimiters

Symbol

LATEX

|

( \,

\{

\lceil

\ulcorner

Comment

divides

left parenthesis

left brace

ceiling (left)

 

Symbol

LATEX

\|

) \,

\}

\rceil

\urcorner

Comment

divides unitarily, is parallel with

right parenthesis

right brace

ceiling (right)

 

Symbol

LATEX

/

[ \,

\langle

\lfloor

\llcorner

Comment

slash

left [square] bracket

left angle bracket

floor (left)

 

Symbol

LATEX

\backslash

] \,

\rangle

\rfloor

\lrcorner

Comment

 

right [square] bracket

right angle bracket

floor (right)

 

{

}

Arrows

Symbol

LATEX

\rightarrow or \to

\mapsto

\leftarrow or \gets

Comment

 

 

 

Symbol

LATEX

\Rightarrow

\Leftarrow

Comment

 

 

 

Symbol

LATEX

\longrightarrow

\longmapsto

\longleftarrow

Comment

 

 

 

Symbol

LATEX

\Longrightarrow

Comment

 

 

 

 or 

\Longleftarrow

 or 

Symbol

LATEX

\uparrow

\downarrow

\updownarrow

Symbol

LATEX

\Uparrow

\Downarrow

\Updownarrow

Comment

 

 

 

Other symbols

Symbol

LATEX

\partial

\eth

\hbar

Symbol

LATEX

\imath

\jmath

\ell

Comment

 

 

 

Symbol

LATEX

\Re

\Im

\wp

Comment

real part

imaginary part

[Weierstrass] powerset

Symbol

LATEX

\nabla

\Box

\infty

Symbol

LATEX

\aleph

\beth

\gimel

Comment

aleph numbers

 

 

Trigonometric functions

Circular functions

The prefix arc used for inverse circular trigonometric functions is the abbreviation forarcus.

Hyperbolic functions

The abbreviations arcsinh, arccosh, etc., are commonly used for inverse hyperbolic trigonometric functions (area hyperbolic functions), even though they are misnomers, since the prefix arc is the abbreviation for arcus, while the prefix ar stands for area.

Symbol

sinh

cosh

tanh

LATEX

\sinh

\cosh

\tanh

Symbol

LATEX

\operatorname{arsinh}

\operatorname{arcosh}

\operatorname{artanh}

Symbol

LATEX

\operatorname{csch}

\operatorname{sech}

\coth

Symbol

LATEX

\operatorname{arcsch}

\operatorname{arsech}

\operatorname{arcoth}

coth