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	LATEX	Symbol	LATEX
Α and α	`\Alpha` and `\alpha`	Ν and ν	`\Nu` and `\nu`
Β and β	`\Beta` and `\beta`	Ξ and ξ	`\Xi` and `\xi`
Γ and γ	`\Gamma` and `\gamma`	Ο and ο	`\Omicron` and `\omicron`
Δ and δ	`\Delta` and `\delta`	Π, π and $\varpi$	`\Pi`, `\pi` and `\varpi`
Ε, ε and $\varepsilon$	`\Epsilon`, `\epsilon` and `\varepsilon`	Ρ, ρ and $\varrho$	`\Rho`, `\rho` and `\varrho`
Ζ and ζ	`\Zeta` and `\zeta`	Σ, σ and $\varsigma\,$	`\Sigma`, `\sigma` and `\varsigma`
Η and η	`\Eta` and `\eta`	Τ and τ	`\Tau` and `\tau`
Θ, θ and $\vartheta$	`\Theta`, `\theta` and `\vartheta`	Υ and υ	`\Upsilon` and `\upsilon`
Ι and ι	`\Iota` and `\iota`	Φ, φ, and $\varphi$	`\Phi`, `\phi` and `\varphi`
Κ, κ and $\varkappa$	`\Kappa`, `\kappa` and `\varkappa`	Χ and χ	`\Chi` and `\chi`
Λ and λ	`\Lambda` and `\lambda`	Ψ and ψ	`\Psi` and `\psi`
Μ and μ	`\Mu` and `\mu`	Ω and ω	`\Omega` and `\omega`

Symbol	LATEX
\Digamma	`\Digamma`
$\digamma$	`\digamma`

Unary operators

Symbol	LATEX	Comment	Symbol	LATEX	Comment	Symbol	LATEX	Comment	Symbol	LATEX	Comment
$+ \,$	`+`		$- \,$	`-`	negation	$! \,$	`!`	factorial	$\#$	`\#`	primorial
			$\neg$	`\neg`	not

Relation operators

Symbol	LATEX	Comment	Symbol	LATEX	Comment
$< \,$	`<`	is less than	$> \,$	`>`	is greater than
$\nless$	`\nless`	is not less than	$\ngtr$	`\ngtr`	is not greater than
$\leq$	`\leq`	is less than or equal to	$\geq$	`\geq`	is greater than or equal to
$\leqslant$	`\leqslant`	is less than or equal to	$\geqslant$	`\geqslant`	is greater than or equal to
$\nleq$	`\nleq`	is neither less than nor equal to	$\ngeq$	`\ngeq`	is neither greater than nor equal to
$\nleqslant$	`\nleqslant`	is neither less than nor equal to	$\ngeqslant$	`\ngeqslant`	is neither greater than nor equal to
$\prec$	`\prec`	precedes	$\succ$	`\succ`	succeeds
$\nprec$	`\nprec`	doesn't precede	$\nsucc$	`\nsucc`	doesn't succeed
$\preceq$	`\preceq`	precedes or equals	$\succeq$	`\succeq`	succeeds or equals
$\npreceq$	`\npreceq`	neither precedes nor equals	$\nsucceq$	`\nsucceq`	neither succeeds nor equals
$\ll$	`\ll`		$\gg$	`\gg`
$\lll$	`\lll`		$\ggg$	`\ggg`
$\subset$	`\subset`	is a proper subset of	$\supset$	`\supset`	is a proper superset of
$\not\subset$	`\not\subset`	is not a proper subset of	$\not\supset$	`\not\supset`	is not a proper superset of
$\subseteq$	`\subseteq`	is a subset of	$\supseteq$	`\supseteq`	is a superset of
$\nsubseteq$	`\nsubseteq`	is not a subset of	$\nsupseteq$	`\nsupseteq`	is not a superset of
$\sqsubset$	`\sqsubset`		$\sqsupset$	`\sqsupset`
$\sqsubseteq$	`\sqsubseteq`		$\sqsupseteq$	`\sqsupseteq`

Symbol	LATEX	Comment
$= \,$	`=`	is equal to
$\doteq$	`\doteq`
$\equiv$	`\equiv`	is equivalent to
$\approx$	`\approx`	is approximately
$\cong$	`\cong`	is congruent to
$\simeq$	`\simeq`	is similar or equal to
˜	`\sim`	is similar to
$\propto$	`\propto`	is proportional to
$\neq$ or $\ne$	`\neq` or `\ne`	is not equal to

Symbol	LATEX	Comment	Symbol	LATEX	Comment
$\parallel$	`\parallel`	is parallel with	$\nparallel$	`\nparallel`	is not parallel with
$\asymp$	`\asymp`	is asymptotic to	$\bowtie$	`\bowtie`
$\vdash$	`\vdash`		$\dashv$	`\dashv`
$\in$	`\in`	is member of	$\ni$	`\ni`	owns, has member
$\smile$	`\smile`		$\frown$	`\frown`
$\models$	`\models`	models	$\notin$	`\notin`	is not member of
$\perp$	`\perp`	is perpendicular with	$\mid$	`\mid`	divides

Binary operators

Symbol	LATEX	Comment	Symbol	LATEX	Comment	Symbol	LATEX	Symbol	LATEX	Comment
$\pm$	`\pm`	plus or minus	$\cap$	`\cap`	set intersection	$\diamond$	`\diamond`	$\oplus$	`\oplus`
$\mp$	`\mp`	minus or plus	$\cup$	`\cup`	set union	$\bigtriangleup$	`\bigtriangleup`	$\ominus$	`\ominus`
$\times$	`\times`	multiplied by	$\uplus$	`\uplus`	multiset addition	$\bigtriangledown$	`\bigtriangledown`	$\otimes$	`\otimes`
$\div$	`\div`	divided by	$\sqcap$	`\sqcap`		$\triangleleft$	`\triangleleft`	$\oslash$	`\oslash`
$\ast$	`\ast`	asterisk	$\sqcup$	`\sqcup`		$\triangleright$	`\triangleright`	$\odot$	`\odot`
$\star$	`\star`		$\vee$	`\vee`		$\bigcirc$	`\bigcirc`	$\circ$	`\circ`
$\dagger$	`\dagger`		$\wedge$	`\wedge`		$\bullet$	`\bullet`	$\setminus$	`\setminus`	set difference
$\ddagger$	`\ddagger`		$\cdot$	`\cdot`		$\wr$	`\wr`	$\amalg$	`\amalg`

Negated binary operators

Symbol	LATEX	Comment	Symbol	LATEX	Comment
$\neq$ or $\ne \,$	`\neq` or `\ne`	is not equal to	$\notin$	`\notin`	is not member of
$\nless$	`\nless`	is not less than	$\ngtr$	`\ngtr`	is not greater than
$\nleq$	`\nleq`	is not less than or equal to	$\ngeq$	`\ngeq`	is not greater than or equal to
$\nleqslant$	`\nleqslant`		$\ngeqslant$	`\ngeqslant`
$\nleqq$	`\nleqq`		$\ngeqq$	`\ngeqq`
$\lneq$	`\lneq`		$\gneq$	`\gneq`
$\lneqq$	`\lneqq`		$\gneqq$	`\gneqq`
$\lvertneqq$	`\lvertneqq`		$\gvertneqq$	`\gvertneqq`
$\lnsim$	`\lnsim`		$\gnsim$	`\gnsim`
$\lnapprox$	`\lnapprox`		$\gnapprox$	`\gnapprox`
$\nprec$	`\nprec`	does not precede	$\nsucc$	`\nsucc`	does not succeed
$\npreceq$	`\npreceq`	neither precedes nor equals	$\nsucceq$	`\nsucceq`	neither succedes nor equals
$\precneqq$	`\precneqq`		$\succneqq$	`\succneqq`
$\precnsim$	`\precnsim`		$\succnsim$	`\succnsim`
$\precnapprox$	`\precnapprox`		$\succnapprox$	`\succnapprox`
$\nsim$	`\nsim`	is not similar to	$\ncong$	`\ncong`	is not congruent to
$\nshortmid$	`\nshortmid`		$\nshortparallel$	`\nshortparallel`
$\nmid$	`\nmid`		$\nparallel$	`\nparallel`	is not parallel with
$\nvdash$	`\nvdash`		$\nvDash$	`\nvDash`
$\nVdash$	`\nVdash`		$\nVDash$	`\nVDash`
$\ntriangleleft$	`\ntriangleleft`		$\ntriangleright$	`\ntriangleright`
$\ntrianglelefteq$	`\ntrianglelefteq`		$\ntrianglerighteq$	`\ntrianglerighteq`
$\nsubseteq$	`\nsubseteq`		$\nsupseteq$	`\nsupseteq`
$\nsubseteqq$	`\nsubseteqq`		$\nsupseteqq$	`\nsupseteqq`
$\subsetneq$	`\subsetneq`		$\supsetneq$	`\supsetneq`
$\varsubsetneq$	`\varsubsetneq`		$\varsupsetneq$	`\varsupsetneq`
$\subsetneqq$	`\subsetneqq`		$\supsetneqq$	`\supsetneqq`
$\varsubsetneqq$	`\varsubsetneqq`		$\varsupsetneqq$	`\varsupsetneqq`

Set and/or logic notation

Set notation
Symbol	LATEX	Comment
$\O$ or $\emptyset \,$ , and $\varnothing \,$	`\O` or `\emptyset`, and `\varnothing`	the empty set
$\N$	`\N`	set of natural numbers
$\Z$	`\Z`	set of integers
$\Q$	`\Q`	set of rational numbers
$\mathbb{A}$	`\mathbb{A}`	set of algebraic numbers
$\R$	`\R`	set of real numbers
$\C$	`\C`	set of complex numbers
$\mathbb{H}$	`\mathbb{H}`	set of quaternions
$\mathbb{O}$	`\mathbb{O}`	set of octonions
$\mathbb{S}$	`\mathbb{S}`	set of sedenions
$\in$	`\in`	is member of
$\notin$	`\notin`	is not member of
$\ni$	`\ni`	owns (has member)
$\subset$	`\subset`	is proper subset of
$\subseteq$	`\subseteq`	is subset of
$\supset$	`\supset`	is proper superset of
$\supseteq$	`\supseteq`	is superset of
$\cup$	`\cup`	set union
$\cap$	`\cap`	set intersection
$\setminus$	`\setminus`	set difference

Logic notation
Symbol	LATEX	Comment
$\exists$	`\exists`	there exists at least one
$\exists!$	`\exists!`	there exists one and only one
$\nexists$	`\nexists`	there is no
$\forall$	`\forall`	for all
$\neg$	`\neg`	not (logical not)
$\lor$	`\lor`	or (logical or)
$\land$	`\land`	and (logical and)
$\Longrightarrow$ or $\implies$	`\Longrightarrow` or `\implies`	implies
$\Rightarrow$	`\Rightarrow`	(preferred for right implication)
$\Longleftarrow$	`\Longleftarrow`	is implied by (only if)
$\Leftarrow$	`\Leftarrow`	(preferred for left implication)
$\iff$	`\iff`	is equivalent to (if and only if, iff)
$\Leftrightarrow$	`\Leftrightarrow`	(preferred for equivalence)
$\top$	`\top`
$\bot$	`\bot`

Geometry

Symbol	LATEX	Comment	Symbol	LATEX	Comment
$\overline{\rm AB}$	`\overline{\rm AB}`	segment	$\overrightarrow{\rm AB}$	`\overrightarrow{\rm AB}`	ray (half-line)
$\angle$	`\angle`	angle	$\measuredangle$	`\measuredangle`	measured angle
$\triangle$	`\triangle`	triangle	$\square$	`\square`	square
$\cong$	`\cong`	congruent (same shape and size)	$\ncong$	`\ncong`	not congruent
˜	`\sim`	similar (same shape)	$\nsim$	`\nsim`	not similar
$\\|$	`\\|`	is parallel with	$\nparallel$	`\nparallel`	is not parallel with
$\perp$	`\perp`	is perpendicular to	$\not\perp$	`\not\perp`	is not perpendicular to

Delimiters

Symbol	LATEX	Comment	Symbol	LATEX	Comment	Symbol	LATEX	Comment	Symbol	LATEX	Comment
$\| \,$	`\|`	divides	$\\|$	`\\|`	divides unitarily, is parallel with	$/ \,$	`/`	slash	$\backslash$	`\backslash`
$( \,$	`( \,`	left parenthesis	$) \,$	`) \,`	right parenthesis	$[ \,$	`[ \,`	left [square] bracket	$] \,$	`] \,`	right [square] bracket
{	`\{`	left brace	}	`\}`	right brace	$\langle$	`\langle`	left angle bracket	$\rangle$	`\rangle`	right angle bracket
$\lceil$	`\lceil`	ceiling (left)	$\rceil$	`\rceil`	ceiling (right)	$\lfloor$	`\lfloor`	floor (left)	$\rfloor$	`\rfloor`	floor (right)
$\ulcorner$	`\ulcorner`		$\urcorner$	`\urcorner`		$\llcorner$	`\llcorner`		$\lrcorner$	`\lrcorner`

Arrows

Symbol	LATEX	Symbol	LATEX	Symbol	LATEX	Symbol	LATEX
$\rightarrow$ or $\to$	`\rightarrow` or `\to`	$\Rightarrow$	`\Rightarrow`	$\longrightarrow$	`\longrightarrow`	$\Longrightarrow$	`\Longrightarrow`
$\mapsto$	`\mapsto`			$\longmapsto$	`\longmapsto`
$\leftarrow$ or $\gets$	`\leftarrow` or `\gets`	$\Leftarrow$	`\Leftarrow`	$\longleftarrow$	`\longleftarrow`	$\Longleftarrow$	`\Longleftarrow`

Symbol	LATEX	Comment	Symbol	LATEX
$\uparrow$	`\uparrow`	Knuth's up-arrow notation	$\Uparrow$	`\Uparrow`
$\downarrow$	`\downarrow`		$\Downarrow$	`\Downarrow`
$\updownarrow$	`\updownarrow`		$\Updownarrow$	`\Updownarrow`

Other symbols

Symbol	LATEX	Comment	Symbol	LATEX	Symbol	LATEX	Comment	Symbol	LATEX	Comment
$\partial$	`\partial`	partial derivative	$\imath$	`\imath`	$\Re$	`\Re`	real part	$\nabla$	`\nabla`	del (vector calculus)
$\eth$	`\eth`		$\jmath$	`\jmath`	$\Im$	`\Im`	imaginary part	$\Box$	`\Box`
$\hbar$	`\hbar`	reduced Planck's constant	$\ell$	`\ell`	$\wp$	`\wp`	[Weierstrass] powerset	$\infty$	`\infty`	infinity

Symbol	LATEX	Comment
$\aleph$	`\aleph`	aleph numbers
$\beth$	`\beth`
$\gimel$	`\gimel`

Trigonometric functions

Symbol	LATEX	Symbol	LATEX	Symbol	LATEX	Symbol	LATEX
sin	`\sin`	arcsin	`\arcsin`	csc	`\csc`	arccsc	`\arccsc`
cos	`\cos`	arccos	`\arccos`	sec	`\sec`	arcsec	`\arcsec`
tan	`\tan`	arctan	`\arctan`	cot	`\cot`	arccot	`\arccot`

Symbol	LATEX	Symbol	LATEX	Symbol	LATEX	Symbol	LATEX
sinh	`\sinh`	$\operatorname{arsinh}$	`\operatorname{arsinh}`	$\operatorname{csch}$	`\operatorname{csch}`	$\operatorname{arcsch}$	`\operatorname{arcsch}`
cosh	`\cosh`	$\operatorname{arcosh}$	`\operatorname{arcosh}`	$\operatorname{sech}$	`\operatorname{sech}`	$\operatorname{arsech}$	`\operatorname{arsech}`
tanh	`\tanh`	$\operatorname{artanh}$	`\operatorname{artanh}`	coth	`\coth`	$\operatorname{arcoth}$	`\operatorname{arcoth}`