Symbols:LaTeX Commands/ProofWiki Specific

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$\LaTeX$ Commands

This page contains $\LaTeX$ commands which are specific to $\mathsf{Pr} \infty \mathsf{fWiki}$.

They are listed in alphabetical order of the defined command, including an example of its expected context as relevant.


\(\AA\) $\quad:\quad$\AA $\qquad$that is: \mathcal A
\(\Add\) $\quad:\quad$\Add $\qquad$Addition as a Primitive Recursive Function‎
\(\adj {\mathbf A}\) $\quad:\quad$\adj {\mathbf A} $\qquad$Adjugate Matrix
\(\map \Ai {x}\) $\quad:\quad$\map \Ai {x} $\qquad$Airy Function of the First Kind
\(\am z\) $\quad:\quad$\am z $\qquad$Amplitude
\(\arccot\) $\quad:\quad$\arccot $\qquad$Arccotangent
\(\arccsc\) $\quad:\quad$\arccsc $\qquad$Arccosecant
\(\arcosh\) $\quad:\quad$\arcosh $\qquad$Area Hyperbolic Cosine
\(\Arcosh\) $\quad:\quad$\Arcosh $\qquad$Complex Area Hyperbolic Cosine
\(\arcoth\) $\quad:\quad$\arcoth $\qquad$Area Hyperbolic Cotangent
\(\Arcoth\) $\quad:\quad$\Arcoth $\qquad$Complex Area Hyperbolic Cotangent
\(\arcsch\) $\quad:\quad$\arcsch $\qquad$Area Hyperbolic Cosecant
\(\Arcsch\) $\quad:\quad$\Arcsch $\qquad$Complex Area Hyperbolic Cosecant
\(\arcsec\) $\quad:\quad$\arcsec $\qquad$Arcsecant
\(\arsech\) $\quad:\quad$\arsech $\qquad$Area Hyperbolic Secant
\(\Arsech\) $\quad:\quad$\Arsech $\qquad$Complex Area Hyperbolic Secant
\(\arsinh\) $\quad:\quad$\arsinh $\qquad$Area Hyperbolic Sine
\(\Arsinh\) $\quad:\quad$\Arsinh $\qquad$Complex Area Hyperbolic Sine
\(\artanh\) $\quad:\quad$\artanh $\qquad$Area Hyperbolic Tangent
\(\Artanh\) $\quad:\quad$\Artanh $\qquad$Complex Area Hyperbolic Tangent
\(\Area\) $\quad:\quad$\Area $\qquad$Area of Plane Figure
\(\Arg z\) $\quad:\quad$\Arg z $\qquad$Principal Argument of Complex Number
\(\Aut {S}\) $\quad:\quad$\Aut {S} $\qquad$Automorphism Group
\(\BB\) $\quad:\quad$\BB $\qquad$that is: \mathcal B
\(\Bei\) $\quad:\quad$\Bei $\qquad$Bei Function
\(\Ber\) $\quad:\quad$\Ber $\qquad$Ber Function
\(\Bernoulli {p}\) $\quad:\quad$\Bernoulli {p} $\qquad$Bernoulli Distribution
\(\BetaDist {\alpha} {\beta}\) $\quad:\quad$\BetaDist {\alpha} {\beta} $\qquad$Beta Distribution
\(\bigintlimits {\map f s} {s \mathop = 0} {s \mathop = a}\) $\quad:\quad$\bigintlimits {\map f s} {s \mathop = 0} {s \mathop = a} $\qquad$Limits of Integration
\(\bigsize {x}\) $\quad:\quad$\bigsize {x} $\qquad$Absolute Value
\(\bigvalueat {\delta x} {x \mathop = x_j} \) $\quad:\quad$\bigvalueat {\delta x} {x \mathop = x_j}
\(\Binomial {n} {p}\) $\quad:\quad$\Binomial {n} {p} $\qquad$Binomial Distribution
\(\braket {a} {b}\) $\quad:\quad$\braket {a} {b} $\qquad$Dirac Notation
\(\bsalpha\) $\quad:\quad$\bsalpha
\(\bsbeta\) $\quad:\quad$\bsbeta
\(\bschi\) $\quad:\quad$\bschi
\(\bsDelta\) $\quad:\quad$\bsDelta $\qquad$a vector '$\Delta$'
\(\bsdelta\) $\quad:\quad$\bsdelta
\(\bsepsilon\) $\quad:\quad$\bsepsilon
\(\bseta\) $\quad:\quad$\bseta
\(\bsgamma\) $\quad:\quad$\bsgamma
\(\bsiota\) $\quad:\quad$\bsiota
\(\bskappa\) $\quad:\quad$\bskappa
\(\bslambda\) $\quad:\quad$\bslambda
\(\bsmu\) $\quad:\quad$\bsmu
\(\bsnu\) $\quad:\quad$\bsnu
\(\bsomega\) $\quad:\quad$\bsomega
\(\bsomicron\) $\quad:\quad$\bsomicron
\(\bsone\) $\quad:\quad$\bsone $\qquad$vector of ones
\(\bsphi\) $\quad:\quad$\bsphi
\(\bspi\) $\quad:\quad$\bspi
\(\bspsi\) $\quad:\quad$\bspsi
\(\bsrho\) $\quad:\quad$\bsrho
\(\bssigma\) $\quad:\quad$\bssigma
\(\bst\) $\quad:\quad$\bst $\qquad$a vector 't'
\(\bstau\) $\quad:\quad$\bstau
\(\bstheta\) $\quad:\quad$\bstheta
\(\bsupsilon\) $\quad:\quad$\bsupsilon
\(\bsv\) $\quad:\quad$\bsv $\qquad$a vector 'v'
\(\bsw\) $\quad:\quad$\bsw $\qquad$a vector 'w'
\(\bsx\) $\quad:\quad$\bsx $\qquad$a vector 'x'
\(\bsxi\) $\quad:\quad$\bsxi
\(\bsy\) $\quad:\quad$\bsy $\qquad$a vector 'y'
\(\bsz\) $\quad:\quad$\bsz $\qquad$a vector 'z'
\(\bszero\) $\quad:\quad$\bszero $\qquad$vector of zeros
\(\bszeta\) $\quad:\quad$\bszeta
\(\map \Card {S}\) $\quad:\quad$\map \Card {S} $\qquad$Cardinality
\(\card {S}\) $\quad:\quad$\card {S} $\qquad$Cardinality
\(\Cauchy {x_0} {\gamma}\) $\quad:\quad$\Cauchy {x_0} {\gamma} $\qquad$Cauchy Distribution
\(\CC\) $\quad:\quad$\CC $\qquad$that is: \mathcal C
\(\Cdm {f}\) $\quad:\quad$\Cdm {f} $\qquad$Codomain of Mapping
\(\ceiling {11.98}\) $\quad:\quad$\ceiling {11.98} $\qquad$Ceiling Function
\(30 \cels\) $\quad:\quad$30 \cels $\qquad$Degrees Celsius
\(15 \cents\) $\quad:\quad$15 \cents $\qquad$Cent
\(\Char {R}\) $\quad:\quad$\Char {R} $\qquad$Characteristic of Ring, etc.
\(\Ci\) $\quad:\quad$\Ci $\qquad$Cosine Integral Function
\(\cis \theta\) $\quad:\quad$\cis \theta $\qquad$$\cos \theta + i \sin \theta$
\(\cl {S}\) $\quad:\quad$\cl {S} $\qquad$Closure (Topology)
\(\closedint {a} {b}\) $\quad:\quad$\closedint {a} {b} $\qquad$Closed Interval
\(\closedrect {\mathbf a_1} {\mathbf a_2}\) $\quad:\quad$\closedrect {\mathbf a_1} {\mathbf a_2} $\qquad$Closed Rectangle
\(\cmod {z^2}\) $\quad:\quad$\cmod {z^2} $\qquad$Complex Modulus
\(\cn u\) $\quad:\quad$\cn u $\qquad$Elliptic Function
\(\condprob {A} {B}\) $\quad:\quad$\condprob {A} {B} $\qquad$Conditional Probability
\(\conjclass {x}\) $\quad:\quad$\conjclass {x} $\qquad$Conjugacy Class
\(\cont {f}\) $\quad:\quad$\cont {f} $\qquad$Content of Polynomial
\(\ContinuousUniform {a} {b}\) $\quad:\quad$\ContinuousUniform {a} {b} $\qquad$Continuous Uniform Distribution
\(\cosec\) $\quad:\quad$\cosec $\qquad$Cosecant (alternative form)
\(\Cosh\) $\quad:\quad$\Cosh $\qquad$Hyperbolic Cosine
\(\Coth\) $\quad:\quad$\Coth $\qquad$Hyperbolic Cotangent
\(\cov {X, Y}\) $\quad:\quad$\cov {X, Y} $\qquad$Covariance
\(\csch\) $\quad:\quad$\csch $\qquad$Hyperbolic Cosecant
\(\Csch\) $\quad:\quad$\Csch $\qquad$Hyperbolic Cosecant
\(\curl\) $\quad:\quad$\curl $\qquad$Curl Operator
\(\DD\) $\quad:\quad$\DD $\qquad$that is: \mathcal D
\(\dfrac {\d x} {\d y}\) $\quad:\quad$\dfrac {\d x} {\d y} $\qquad$Roman $\d$ for Derivatives
\(30 \degrees\) $\quad:\quad$30 \degrees $\qquad$Degrees of Angle
\(\diam\) $\quad:\quad$\diam $\qquad$Diameter
\(\Dic n\) $\quad:\quad$\Dic n $\qquad$Dicyclic Group
\(\DiscreteUniform {n}\) $\quad:\quad$\DiscreteUniform {n} $\qquad$Discrete Uniform Distribution
\(a \divides b\) $\quad:\quad$a \divides b $\qquad$Divisibility
\(\dn u\) $\quad:\quad$\dn u $\qquad$Elliptic Function
\(\Dom {f}\) $\quad:\quad$\Dom {f} $\qquad$Domain of Mapping
\(\dr {a}\) $\quad:\quad$\dr {a} $\qquad$Digital Root
\(\E\) $\quad:\quad$\E $\qquad$Elementary Charge
\(\EE\) $\quad:\quad$\EE $\qquad$that is: \mathcal E
\(\Ei\) $\quad:\quad$\Ei $\qquad$Exponential Integral Function
\(\empty\) $\quad:\quad$\empty $\qquad$Empty Set
\(\eqclass {x} {\RR}\) $\quad:\quad$\eqclass {x} {\RR} $\qquad$Equivalence Class
\(\erf\) $\quad:\quad$\erf $\qquad$Error Function
\(\erfc\) $\quad:\quad$\erfc $\qquad$Complementary Error Function
\(\expect {X}\) $\quad:\quad$\expect {X} $\qquad$Expectation
\(\Exponential {\beta}\) $\quad:\quad$\Exponential {\beta} $\qquad$Exponential Distribution
\(\Ext {\gamma}\) $\quad:\quad$\Ext {\gamma} $\qquad$Exterior
\(\F\) $\quad:\quad$\F $\qquad$False
\(30 \fahr\) $\quad:\quad$30 \fahr $\qquad$Degrees Fahrenheit
\(\family {S_i}\) $\quad:\quad$\family {S_i} $\qquad$Indexed Family
\(\FF\) $\quad:\quad$\FF $\qquad$that is: \mathcal F
\(\Field {\RR}\) $\quad:\quad$\Field {\RR} $\quad$AMSsymbols$\quad$Custom $\mathsf{Pr} \infty \mathsf{fWiki}$
\(\Fix {\pi}\) $\quad:\quad$\Fix {\pi} $\qquad$Set of Fixed Elements
\(\floor {11.98}\) $\quad:\quad$\floor {11.98} $\qquad$Floor Function
\(\fractpart {x}\) $\quad:\quad$\fractpart {x} $\qquad$Fractional Part
\(\Frob {R}\) $\quad:\quad$\Frob {R} $\qquad$Frobenius Endomorphism
\(\Gal {S}\) $\quad:\quad$\Gal {S} $\qquad$Galois Group
\(\Gaussian {\mu} {\sigma^2}\) $\quad:\quad$\Gaussian {\mu} {\sigma^2} $\qquad$Gaussian Distribution
\(\gen {S}\) $\quad:\quad$\gen {S} $\qquad$Generator
\(\Geometric {p}\) $\quad:\quad$\Geometric {p} $\qquad$Geometric Distribution
\(\GF\) $\quad:\quad$\GF $\qquad$Galois Field
\(\GG\) $\quad:\quad$\GG $\qquad$that is: \mathcal G
\(\GL {n, \R}\) $\quad:\quad$\GL {n, \R} $\qquad$General Linear Group
\(\grad {p}\) $\quad:\quad$\grad {p} $\qquad$Gradient
\(\harm {r} {z}\) $\quad:\quad$\harm {r} {z} $\qquad$General Harmonic Numbers
\(\hav \theta\) $\quad:\quad$\hav \theta $\qquad$Haversine
\(\hcf\) $\quad:\quad$\hcf $\qquad$Highest Common Factor
\(\H\) $\quad:\quad$\H $\qquad$Set of Quaternions
\(\HH\) $\quad:\quad$\HH $\qquad$Hilbert Space
\(\hointl {a} {b}\) $\quad:\quad$\hointl {a} {b} $\qquad$Left Half-Open Interval
\(\hointr {a} {b}\) $\quad:\quad$\hointr {a} {b} $\qquad$Right Half-Open Interval
\(\horectl {\mathbf a} {\mathbf b}\) $\quad:\quad$\horectl {\mathbf a} {\mathbf b} $\qquad$Half-Open Rectangle (on the left)
\(\horectr {\mathbf c} {\mathbf d}\) $\quad:\quad$\horectr {\mathbf c} {\mathbf d} $\qquad$Half-Open Rectangle (on the right)
\(\ideal {a}\) $\quad:\quad$\ideal {a} $\qquad$Ideal of Ring
\(\II\) $\quad:\quad$\II $\qquad$that is: \mathcal I
\(\map \Im z\) $\quad:\quad$\map \Im z $\qquad$Imaginary Part
\(\Img {f}\) $\quad:\quad$\Img {f} $\qquad$Image of Mapping
\(\index {G} {H}\) $\quad:\quad$\index {G} {H} $\qquad$Index of Subgroup
\(\inj\) $\quad:\quad$\inj $\qquad$Canonical Injection
\(\Inn {S}\) $\quad:\quad$\Inn {S} $\qquad$Group of Inner Automorphisms
\(\innerprod {x} {y}\) $\quad:\quad$\innerprod {x} {y} $\qquad$Inner Product
\(\Int {\gamma}\) $\quad:\quad$\Int {\gamma} $\qquad$Interior
\(\intlimits {\dfrac {\map f s} s} {s \mathop = 1} {s \mathop = a}\) $\quad:\quad$\intlimits {\dfrac {\map f s} s} {s \mathop = 1} {s \mathop = a} $\qquad$Limits of Integration
\(\inv {f} {x}\) $\quad:\quad$\inv {f} {x} $\qquad$Inverse Mapping
\(\invlaptrans {F}\) $\quad:\quad$\invlaptrans {F} $\qquad$Inverse Laplace Transform
\(\JJ\) $\quad:\quad$\JJ $\qquad$that is: \mathcal J
\(\Kei\) $\quad:\quad$\Kei $\qquad$Kei Function
\(\Ker\) $\quad:\quad$\Ker $\qquad$Ker Function
\(\KK\) $\quad:\quad$\KK $\qquad$that is: \mathcal K
\(\laptrans {f}\) $\quad:\quad$\laptrans {f} $\qquad$Laplace Transform
\(\lcm \set {x, y, z}\) $\quad:\quad$\lcm \set {x, y, z} $\qquad$Lowest Common Multiple
\(\leadstoandfrom\) $\quad:\quad$\leadstoandfrom
\(\leftset {a, b, c}\) $\quad:\quad$\leftset {a, b, c} $\qquad$Conventional set notation (left only)
\(\leftparen {a + b + c}\) $\quad:\quad$\leftparen {a + b + c} $\qquad$Parenthesis (left only)
\(\len {AB}\) $\quad:\quad$\len {AB} $\qquad$Length Function: various
\(\Li\) $\quad:\quad$\Li $\qquad$Eulerian Logarithmic Integral
\(\li\) $\quad:\quad$\li $\qquad$Logarithmic Integral
\(\LL\) $\quad:\quad$\LL $\qquad$that is: \mathcal L
\(\Ln\) $\quad:\quad$\Ln $\qquad$Principal Branch of Complex Natural Logarithm
\(\Log\) $\quad:\quad$\Log $\qquad$Principal Branch of Complex Natural Logarithm
\(\loweradjoint {\mathbf J}\) $\quad:\quad$\loweradjoint {\mathbf J} $\qquad$Galois Connections
\(\map {f} {x}\) $\quad:\quad$\map {f} {x} $\qquad$Mapping or Function
\(\meta {metasymbol}\) $\quad:\quad$\meta {metasymbol} $\qquad$Metasymbol
\(27 \minutes\) $\quad:\quad$27 \minutes $\qquad$Minutes of Angle or Minutes of Time
\(\MM\) $\quad:\quad$\MM $\qquad$that is: \mathcal M
\(\Mult\) $\quad:\quad$\Mult $\qquad$Multiplication as a Primitive Recursive Function‎
\(\multiset {a, b, c}\) $\quad:\quad$\multiset {a, b, c} $\qquad$Multiset
\(\map \nec P\) $\quad:\quad$\map \nec P $\qquad$it is necessary that $P$
\(\NegativeBinomial {n} {p}\) $\quad:\quad$\NegativeBinomial {n} {p} $\qquad$Negative Binomial Distribution
\(\Nil {R}\) $\quad:\quad$\Nil {R} $\qquad$Nilradical of Ring
\(\nint {11.98}\) $\quad:\quad$\nint {11.98} $\qquad$Nearest Integer Function
\(\NN\) $\quad:\quad$\NN $\qquad$that is: \mathcal N
\(\norm {z^2}\) $\quad:\quad$\norm {z^2} $\qquad$Norm
\(\O\) $\quad:\quad$\O $\qquad$Empty Set
\(\OO\) $\quad:\quad$\OO $\qquad$that is: \mathcal O
\(\oo\) $\quad:\quad$\oo $\qquad$that is: \mathcal o
\(\oldpence\) $\quad:\quad$\oldpence $\qquad$old pence
\(\On\) $\quad:\quad$\On $\qquad$Class of All Ordinals
\(\openint {a} {b}\) $\quad:\quad$\openint {a} {b} $\qquad$Open Interval
\(\openrect {\mathbf a_1} {\mathbf a_2}\) $\quad:\quad$\openrect {\mathbf a_1} {\mathbf a_2} $\qquad$Open Rectangle
\(\Orb S\) $\quad:\quad$\Orb S $\qquad$Orbit
\(\Ord {S}\) $\quad:\quad$\Ord {S} $\qquad$$S$ is an Ordinal
\(\order {G}\) $\quad:\quad$\order {G} $\qquad$Order of Structure, and so on
\(\ot\) $\quad:\quad$\ot $\qquad$Order Type
\(\Out {G}\) $\quad:\quad$\Out {G} $\qquad$Group of Outer Automorphisms
\(\paren {a + b + c}\) $\quad:\quad$\paren {a + b + c} $\qquad$Parenthesis
\(\ph z\) $\quad:\quad$\ph z $\qquad$Phase
\(\Poisson {\lambda}\) $\quad:\quad$\Poisson {\lambda} $\qquad$Poisson Distribution
\(\polar {r, \theta}\) $\quad:\quad$\polar {r, \theta} $\qquad$Polar Form of Complex Number
\(\map \pos P\) $\quad:\quad$\map \pos P $\qquad$it is possible that $P$
\(\pounds\) $\quad:\quad$\pounds $\qquad$Pound Sterling
\(\powerset {S}\) $\quad:\quad$\powerset {S} $\qquad$Power Set
\(\PP\) $\quad:\quad$\PP $\qquad$that is: \mathcal P
\(\map {\pr_j} {F}\) $\quad:\quad$\map {\pr_j} {F} $\qquad$Projection
\(\Preimg {f}\) $\quad:\quad$\Preimg {f} $\qquad$Preimage of Mapping
\(\map {\proj_\mathbf v} {\mathbf u}\) $\quad:\quad$\map {\proj_\mathbf v} {\mathbf u} $\qquad$Vector Projection
\(\PV\) $\quad:\quad$\PV $\qquad$Cauchy Principal Value
\(\QQ\) $\quad:\quad$\QQ $\qquad$that is: \mathcal Q
\(\radians\) $\quad:\quad$\radians $\qquad$Radian
\(\Rad\) $\quad:\quad$\Rad $\qquad$Radical of Ideal of Ring
\(\ds \int \map f x \rd x\) $\quad:\quad$\ds \int \map f x \rd x $\qquad$Roman $\d$ for use in Integrals
\(\rD\) $\quad:\quad$\rD $\qquad$Differential Operator
\(y \rdelta x\) $\quad:\quad$y \rdelta x $\qquad$$\delta$ operator for use in sums
\(30 \rankine\) $\quad:\quad$30 \rankine $\qquad$Degrees Rankine
\(\map \Re z\) $\quad:\quad$\map \Re z $\qquad$Real Part
\(\relcomp {S} {A}\) $\quad:\quad$\relcomp {S} {A} $\qquad$Relative Complement
\(\rem\) $\quad:\quad$\rem $\qquad$Remainder
\(\Res {f} {z_0}\) $\quad:\quad$\Res {f} {z_0} $\qquad$Residue
\(\rightparen {a + b + c}\) $\quad:\quad$\rightparen {a + b + c} $\qquad$Parenthesis (right only)
\(\rightset {a, b, c}\) $\quad:\quad$\rightset {a, b, c} $\qquad$Conventional set notation (right only)
\(\Rng {f}\) $\quad:\quad$\Rng {f} $\qquad$Range of Mapping
\(\RR\) $\quad:\quad$\RR $\qquad$that is: \mathcal R
\(\sech\) $\quad:\quad$\sech $\qquad$Hyperbolic Secant
\(\Sech\) $\quad:\quad$\Sech $\qquad$Hyperbolic Secant
\(53 \seconds\) $\quad:\quad$53 \seconds $\qquad$Seconds of Angle or Seconds of Time
\(\sequence {a_n}\) $\quad:\quad$\sequence {a_n} $\qquad$Sequence
\(\set {a, b, c}\) $\quad:\quad$\set {a, b, c} $\qquad$Conventional set notation
\(\ShiftedGeometric {p}\) $\quad:\quad$\ShiftedGeometric {p} $\qquad$Shifted Geometric Distribution
\(\shillings\) $\quad:\quad$\shillings $\qquad$shillings
\(\Si\) $\quad:\quad$\Si $\qquad$Sine Integral Function
\(\Sinh\) $\quad:\quad$\Sinh $\qquad$Hyperbolic Sine
\(\size {x}\) $\quad:\quad$\size {x} $\qquad$Absolute Value, and so on
\(\SL {n, \R}\) $\quad:\quad$\SL {n, \R} $\qquad$Special Linear Group
\(\sn u\) $\quad:\quad$\sn u $\qquad$Elliptic Function
\(\span\) $\quad:\quad$\span $\qquad$Linear Span
\(\Spec {R}\) $\quad:\quad$\Spec {R} $\qquad$Spectrum of Ring
\(\sqbrk {a} \) $\quad:\quad$\sqbrk {a}
\(\SS\) $\quad:\quad$\SS $\qquad$that is: \mathcal S
\(\Stab x\) $\quad:\quad$\Stab x $\qquad$Stabilizer
\(\stratgame {N} {A_i} {\succsim_i}\) $\quad:\quad$\stratgame {N} {A_i} {\succsim_i} $\qquad$Strategic Game
\(\struct {G, \circ}\) $\quad:\quad$\struct {G, \circ} $\qquad$Algebraic Structure
\(\StudentT {k}\) $\quad:\quad$\StudentT {k} $\qquad$Student's t-Distribution
\(\SU {n}\) $\quad:\quad$\SU {n} $\qquad$Unimodular Unitary Group
\(\Succ\) $\quad:\quad$\Succ $\qquad$Successor Function
\(\supp\) $\quad:\quad$\supp $\qquad$Support
\(\Syl {p} {N}\) $\quad:\quad$\Syl {p} {N} $\qquad$Sylow $p$-Subgroup
\(\symdif\) $\quad:\quad$\symdif $\qquad$Symmetric Difference
\(\T\) $\quad:\quad$\T $\qquad$True
\(\Tanh\) $\quad:\quad$\Tanh $\qquad$Hyperbolic Tangent
\(\tr\) $\quad:\quad$\tr $\qquad$Trace
\(\TT\) $\quad:\quad$\TT $\qquad$that is: \mathcal T
\(\tuple {a, b, c}\) $\quad:\quad$\tuple {a, b, c} $\qquad$Ordered Tuple
\(\upperadjoint {\mathbf J}\) $\quad:\quad$\upperadjoint {\mathbf J} $\qquad$Galois Connections
\(\UU\) $\quad:\quad$\UU $\qquad$that is: \mathcal U
\(\valueat {\dfrac {\delta y} {\delta x} } {x \mathop = \xi} \) $\quad:\quad$\valueat {\dfrac {\delta y} {\delta x} } {x \mathop = \xi}
\(\var {X}\) $\quad:\quad$\var {X} $\qquad$Variance
\(\vers \theta\) $\quad:\quad$\vers \theta $\qquad$Versed Sine
\(\VV\) $\quad:\quad$\VV $\qquad$that is: \mathcal V
\(\weakconv\) $\quad:\quad$\weakconv $\qquad$Weak Convergence
\(\weakstarconv\) $\quad:\quad$\weakstarconv $\qquad$Weak-$*$ Convergence
\(\WW\) $\quad:\quad$\WW $\qquad$that is: \mathcal W
\(\XX\) $\quad:\quad$\XX $\qquad$that is: \mathcal X
\(\YY\) $\quad:\quad$\YY $\qquad$that is: \mathcal Y
\(\ZZ\) $\quad:\quad$\ZZ $\qquad$that is: \mathcal Z