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Template:Abbr/list
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The following documentation is located at Template:Abbr/list/doc. [<Edit> Template:Abbr/list/doc]
[⧼Purge⧽ Template:Abbr/list]
[⧼Purge⧽ Template:Abbr/list]
The {{abbr/list}} helper function template contains a "database table" (of abbreviations and their full expressions) that is meant to be used by the {{abbr}} template.
This "database table" currently contains a list of abbreviations used in science (mostly mathematics, computer science, physics...).
NOTES:
- This list is limited to abbreviations of two or more letters. The capitalization of some of these abbreviations is not standardized—different authors use different capitalizations.
- If the entry is not in the "database table," the template returns a link to http://www.abbreviations.com/ followed by the abbreviation.
Contents
Format of "database table"
The "database table" format is the following:
- each line of the "database table" must have the format (including two spaces before the vertical pipe)
| abbrev = unabbreviated term (text only, or HTML character entities; NO HTML tags)
- the lines must be in ascending alphabetical order of abbreviations
- the following characters cannot be used
- | (vertical pipe) (use {{!}} instead)
- " (double quote) (use " HTML character entity instead)
- HTML tags cannot be used
- log<sub>10</sub> (show as log_10 instead)
- <math>log_{10}</math> (show as log_10 instead)
- e<sup>x</sup> (show as e^x instead)
- <math>e^x</math> (show as e^x instead)
- wikitext cannot be used
- [[...]] (messes up the tooltip created with {{Abbr}})
Usage
- {{abbr/list|abbr=abbreviation}}
or
- {{abbr/list|abbreviation}}
Examples
Examples with abbreviation in "database table"
- {{abbr/list|abbr=Card}} gives
- cardinality of a set (Card(X) is also written #X, ♯X or |X|) (set theory)
- {{abbr/list|Card}} gives
- cardinality of a set (Card(X) is also written #X, ♯X or |X|) (set theory)
Code Result {{abbr/list|GCD}} greatest common divisor (GCD also written as HCF - highest common factor) (elementary number theory) {{abbr/list|gcd}} greatest common divisor (GCD also written as HCF - highest common factor) (elementary number theory) {{abbr/list|HCF}} highest common factor (HCF also written as GCD - greatest common divisor) (elementary number theory) {{abbr/list|hcf}} highest common factor (HCF also written as GCD - greatest common divisor) (elementary number theory) {{abbr/list|LCM}} least common multiple (LCM) (elementary number theory) {{abbr/list|lcm}} least common multiple (LCM) (elementary number theory) {{abbr/list|inf}} infimum (of a set) (also written as glb - greatest lower bound) {{abbr/list|sup}} supremum (of a set) (also written as lub - least upper bound) {{abbr/list|sopf}} sum of distinct prime factors (arithmetic function) {{abbr/list|sopfr}} sum of prime factors (with repetition) (integer log) (arithmetic function)
Examples with abbreviation NOT in "database table"
The "database table" currently contains abbreviations used in science (mostly mathematics, computer science, physics...).
Code Result Comment {{abbr/list|AFAIK}} http://www.abbreviations.com/AFAIK (NOT in "database" table!) {{abbr/list|BTW}} http://www.abbreviations.com/BTW (NOT in "database" table!) {{abbr/list|IMHO}} http://www.abbreviations.com/IMHO (NOT in "database" table!)
Examples with invalid arguments
Code Result {{abbr/list|}} Abbr/list error: No argument provided! {{abbr/list}} Abbr/list error: No argument provided!
Code
<noinclude>(...)</noinclude><includeonly>{{#if: {{{abbr|{{{1|}}}}}} | {{#switch: {{{abbr|{{{1}}}}}} </includeonly> | AC = Axiom of Choice (set theory) (...) | ZFC = Zermelo–Fraenkel axioms (with the Axiom of Choice) (set theory) <includeonly> | http://www.abbreviations.com/{{{abbr|{{{1}}}}}} <!-- NOT in database table --> }} | {{error| Abbr/list error: No argument provided! }} }}</includeonly><noinclude>(...)</noinclude>
Abbreviations database table
| AC = Axiom of Choice (set theory) | adj = adjugate matrix (linear algebra) | a.e. = almost everywhere | Ai = Airy function (of the first kind) | Alt = alternating group (Alt(n) is also written as A_n) (abstract algebra) | AP = arithmetic progression | arccos = inverse cosine function (trigonometry) | arccosec = inverse cosecant function (also written as arccsc) (trigonometry) | arccot = inverse cotangent function (trigonometry) | arccsc = inverse cosecant function (also written as arccosec) (trigonometry) | arcosech = inverse hyperbolic cosecant function (also written as arcsch) (hyperbolic trigonometry) | arcosh = inverse hyperbolic cosine function (hyperbolic trigonometry) (hyperbolic trigonometry) | arcoth = inverse hyperbolic cotangent function (hyperbolic trigonometry) (hyperbolic trigonometry) | arcsch = inverse hyperbolic cosecant function (also written as arcosech) (hyperbolic trigonometry) | arcsec = inverse secant function (trigonometry) | arcsin = inverse sine function (trigonometry) | arctan = inverse tangent function (trigonometry) | arg = argument (of a complex number) | arg max = argument of the maximum | arg min = argument of the minimum | arsech = inverse hyperbolic secant function (hyperbolic trigonometry) | arsinh = inverse hyperbolic sine function (hyperbolic trigonometry) | artanh = inverse hyperbolic tangent function (hyperbolic trigonometry) | a.s. = almost surely | Aut = automorphism group (abstract algebra) | Bi = Airy function (of the second kind) | BPP = Bailey–Borwein–Plouffe formula | Card = cardinality of a set (Card(X) is also written #X, ♯X or |X|) (set theory) | CAS = Computer Algebra System | cdf | CDF = cumulative distribution function | CH = Continuum Hypothesis (set theory) | char = characteristic of a ring (abstract algebra) | Chi = hyperbolic cosine integral function | Ci = cosine integral function | Cl = closure (topological closure) (topology) | cod = codomain (of a function) (also written as codom) | codom = codomain (of a function) (also written as cod) | Colex = colexicographic(al) order or colex order (also known as colexicographic(al) product) (a back end ordering, so to speak; the converse of the Lex order) | cos = cosine function (trigonometry) | cosec = cosecant function (also written as csc) (trigonometry) | cosech = hyperbolic cosecant function (also written as csch) (hyperbolic trigonometry) | cosh = hyperbolic cosine function (hyperbolic trigonometry) | cot = cotangent function (trigonometry) | coth = hyperbolic cotangent function (hyperbolic trigonometry) | cov = covariance (of a pair of random variables) | CRT = Chinese remainder theorem | csc = cosecant function (also written as cosec) (trigonometry) | csch = hyperbolic cosecant function (also written as cosech) (hyperbolic trigonometry) | CSS = Cascading Style Sheets | curl = curl (of a vector field) (also written as rot) (vector calculus) | DAG = directed acyclic graph (graph theory) | DE = differential equation | deg = degree of a polynomial (also written as ∂) (algebra) | del = del (a differential operator) (also written as ∇, i.e. nabla) | det = determinant (of a matrix or linear transformation) (linear algebra) | dim = dimension (of a vector space) (linear algebra) | div = divergence (of a vector field) (vector calculus) | DLMF = Digital Library of Mathematical Functions | DNE = does not exist, or is undefined (a solution for an expression does not exist, or is undefined) (generally used with limits and integrals) | dom = domain (of a function) (or, more generally, a relation) | End = categories of endomorphisms | Ei = exponential integral function | erf = error function | erfc = complementary error function | exp = exponential function (exp x is also written as e^x) | Ext = Ext functor | ext = exterior (topology) | FOL = first-order logic | Frob = Frobenius endomorphism | Gal = Galois group (also written as Γ) (abstract algebra) | GAP = generalized arithmetic progression | gcd | GCD = greatest common divisor (GCD also written as HCF - highest common factor) (elementary number theory) | GCH = Generalized Continuum Hypothesis (set theory) | GF = Galois field (abstract algebra) | GL = general linear group (abstract algebra) | glb = greatest lower bound (also written as inf - infimum) | GP = geometric progression | grad = gradient (of a scalar field) (vector calculus) | hcf | HCF = highest common factor (HCF also written as GCD - greatest common divisor) (elementary number theory) | HOL = higher-order logic | Hom = Hom functor | HP = harmonic progression | HTML = HyperText Markup Language | iff = if and only if | Im = either image of a function or imaginary part of a complex number (which is also written ℑ) | inf = infimum (of a set) (also written as glb - greatest lower bound) | int = interior (topology) | Ker = kernel (abstract algebra) | lcm | LCM = least common multiple (LCM) (elementary number theory) | lerp = linear interpolation | Lex = lexicographic(al) order or lex order (also known as dictionary order, alphabetical order or lexicographic(al) product) (a front end ordering, so to speak; the converse of the Colex order) | lg = common logarithm (log_10) or binary logarithm (log_2) | LHS = left-hand side (of an equation) | Li = offset logarithmic integral function | li = logarithmic integral function or linearly independent | lim = limit (of a sequence, or of a function) (analysis) | lim inf = limit inferior (analysis) | lim sup = limit superior (analysis) | LLT = Lucas–Lehmer test (primality test) (number theory) | ln = natural logarithm (log_e) | log = logarithm (if without a subscript, this may mean either common logarithm (log_10) or natural logarithm (log_e) | logh = natural logarithm (log_e) | LST = language of set theory (first-order language) | lub = least upper bound (also written as sup - supremum) | max = maximum (of a set) | min = minimum (of a set) | mod = modulo (modular arithmetic) | mx = matrix (linear algebra) | NaN | NAN = Not a number (computer programming) (the #expr MediaWiki parser function uses NAN) | NAND = Sheffer stroke (not-and in logic) | NIST = National Institute of Standards and Technology | NOR = Logical NOR (not-or in logic) | NTS = need to show | ord = ordinal number (of a well-ordered set) | PDE = partial differential equation | pdf | PDF = probability density function | pf = proof | PGL = projective general linear group | PID = principal ideal domain (abstract algebra) | PIE = Principle of Inclusion-Exclusion | pmf = probability mass function | PNG = Portable Network Graphics | PNT = prime number theorem (number theory) | Pr = probability of an event (also written as P) | PSL = projective special linear group | QED = Q.E.D. ("Quod erat demonstrandum") (a Latin phrase used at the end of a definitive proof) | QEF = "Quod erat faciendum" (a Latin phrase sometimes used at the end of a construction) | QRNG = quasirandom number generator | rad = radical (product of prime factors) (squarefree kernel) (arithmetic function) | ran = range (of a function) | Re = real part (of a complex number) (also written as ℜ) | Ref Colex = reflected colexicographic(al) order or reflected colex order (derived from the colexicographic order by inverting the internal order of elements) | Ref Lex = reflected lexicographic(al) order or reflected lex order (derived from the lexicographic order by inverting the internal order of elements) | resp = respectively | Rev Colex = reverse colexicographic(al) order or reverse colex order (derived from the colexicographic order by inverting the external order of elements) | Rev Lex = reverse lexicographic(al) order or reverse lex order, also known as reverse dictionary order or reverse alphabetic(al) order (derived from the lexicographic order by inverting the external order of elements) | Rev Ref Colex = reverse reflected colexicographic(al) order or reverse reflected colex order (derived from the colexicographic order by inverting both the internal order and the external order of elements) | Rev Ref Lex = reverse reflected lexicographic(al) order or reverse reflected lex order (derived from the lexicographic order by inverting both the internal order and the external order of elements) | RH = Riemann Hypothesis (complex analysis) | RHS = right-hand side (of an equation) | Rk = rank | rng = non-unital ring (abstract algebra) | RNG = random number generator | rot = rot (rotor) of a vector field (also written as curl) (vector calculus) | RTP = required to prove | RV = Random Variable (also written as R.V.) | SCG = subcubic graph (function SCG(n)) (graph theory) | sec = secant function (reciprocal cosine function) (trigonometry) | sech = hyperbolic secant function (hyperbolic trigonometry) | seg = initial segment of | sgn = sign function (signum function) | Shi = hyperbolic sine integral function | Si = sine integral function | sin = sine function (trigonometry) | sinc = sinc function | sinh = hyperbolic sine function (hyperbolic trigonometry) | SL = special linear group (abstact algebra) | SOL = second-order logic | sopf = sum of distinct prime factors (arithmetic function) | sopfr = sum of prime factors (with repetition) (integer log) (arithmetic function) | Sp = linear span (of a set of vectors) (also written with angle brackets) | Spec = spectrum (of a ring) (abstact algebra) | SSCG = simple subcubic graph (function SSCG(n)) (graph theory) | st = such that or so that | STP = (it is) sufficient to prove | sup = supremum (of a set) (also written as lub - least upper bound) | supp = support (of a function) | SVG = Scalable Vector Graphics | Sym = symmetric group (Sym(n), also written as S_n) | tan = tangent function (trigonometry) | tanc = tanc function | tanh = hyperbolic tangent function (hyperbolic trigonometry) | TFAE = the following are equivalent | Thm = theorem | Tor = Tor functor | Tr = trace (either the field trace, or the trace of a matrix or linear transformation) | TREE = tree (function TREE(n)) (graph theory) | TSP = travelling salesman problem | UFD = unique factorization domain (abstract algebra) | undef = undefined (function or expression) | var = variance (of a random variable) | W^5 = which was what we wanted (synonym of Q.E.D.) | walog = without any loss of generality | wff = well-formed formula | wlog = without loss of generality | WMA = we may assume | WO = well-ordered set | WOP = well-ordering principle (set theory) | wrt = with respect to or with regard to | WTP = want to prove | WTS = want to show | XOR = exclusive or (in logic) | ZF = Zermelo–Fraenkel axioms (set theory) | ZFC = Zermelo–Fraenkel axioms (with the Axiom of Choice) (set theory)
See also
- Greek letters used in mathematics, science, and engineering
- Greek letters used in mathematics
- ISO 31-11 (superseded in 2009 by ISO 80000-2)
- Mathematical alphanumeric symbols
- Mathematical constants
- Mathematical jargon
- Mathematical notation
- Notation in probability and statistics
- Physical constants
- Roman letters used in mathematics, science, and engineering
- Roman letters used in mathematics
- Table of logic symbols
- Table of mathematical symbols
- Unicode mathematical operators