[中英双语] 数学缩写列表 (List of mathematical abbreviations)
List of mathematical abbreviations
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数学缩写列表
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This article is a listing of abbreviated names of mathematical functions, function-like operators and other mathematical terminology.
这篇文章是一个数学函数,类似于函数的操作符和其他的数学术语的缩写名列表。
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.
This list is incomplete; you can help by expanding it.
这个列表受限于两个或更多字母的缩略语。其中,一些缩略语字母大写并不是标准的 - 不同的作者使用不同的大写形式。
- AC – Axiom of Choice.[1] 选择公理
- a.c. – absolutely continuous. 绝对连续的
- acrd – inverse chord function. 逆弦函数
- adj – adjugate of a matrix. 矩阵的伴随矩阵
- a.e. – almost everywhere. 殆遍,几乎处处
- Ai – Airy function. 艾里函数
- AL – Action limit. 处置界限
- Alt – alternating group (Alt(n) is also written as An.) 交错群
- A.M. – arithmetic mean. 算数平均数
- arccos – inverse cosine function. 反余弦函数
- arccosec – inverse cosecant function. (Also written as arccsc.) 反余割函数
- arccot – inverse cotangent function. 反余切函数
- arccsc – inverse cosecant function. (Also written as arccosec.) 反余割函数
- arcexc – inverse excosecant function. (Also written as arcexcsc, arcexcosec.) 反外余割函数
- arcexcosec – inverse excosecant function. (Also written as arcexcsc, arcexc.) 反外余割函数
- arcexcsc – inverse excosecant function. (Also written as arcexcosec, arcexc.) 反外余割函数
- arcexs – inverse exsecant function. (Also written as arcexsec.) 反外正割函数
- arcexsec – inverse exsecant function. (Also written as arcexs.) 反外正割函数
- arcosech – inverse hyperbolic cosecant function. (Also written as arcsch.) 反双曲余割函数
- arcosh – inverse hyperbolic cosine function. 反双曲余弦函数
- arcoth – inverse hyperbolic cotangent function. 反双曲余切函数
- arcsch – inverse hyperbolic cosecant function. (Also written as arcosech.) 反双曲余割函数
- arcsec – inverse secant function. 反正割函数
- arcsin – inverse sine function. 反正弦函数
- arctan – inverse tangent function. 反正切函数
- arctan2 – inverse tangent function with two arguments. (Also written as atan2.) 带有2个参数的反正切函数
- arg – argument of a complex number.[2] 复数的参数
- arg max – argument of the maximum. 最大值时的参数
- arg min – argument of the minimum. 最小值时的参数
- arsech – inverse hyperbolic secant function. 反双曲正割函数
- arsinh – inverse hyperbolic sine function. 反双曲正弦函数
- artanh – inverse hyperbolic tangent function. 反双曲正切函数
- a.s. – almost surely. 殆必,几乎必然
- atan2 – inverse tangent function with two arguments. (Also written as arctan2.) 同 arctan2,带有两个参数的反正切函数
- A.P. – arithmetic progression. 等差数列
- Aut – automorphism group. 自同构群
- bd – boundary. 边界(拓扑学)
- Bi – Airy function of the second kind. 第二类艾里函数
- Bias – bias of an estimator 估计器偏置
- Card – cardinality of a set.[3] (Card(X) is also written #X, ♯X or |X|.) 集合的势
- cdf – cumulative distribution function. 累积分布函数
- c.f. – cumulative frequency. 累积频率
- char – characteristic of a ring. 环的特征
- Chi – hyperbolic cosine integral function. 双曲余弦积分函数
- Ci – cosine integral function. 余弦积分函数
- cis – cos + i sin function. 欧拉公式函数
- Cl – conjugacy class. 共轭类
- cl – topological closure. 拓扑学闭包
- cod, codom – codomain. 到达域
- cok, coker – cokernel. 上核,余核
- Cor – corollary. 推论,余定理
- corr – correlation. 相关
- cos – cosine function. 余弦函数
- cosec – cosecant function. (Also written as csc.) 余割函数
- cosech – hyperbolic cosecant function. (Also written as csch.) 双曲余割函数
- cosh – hyperbolic cosine function. 双曲余弦函数
- cosiv – coversine function. (Also written as cover, covers, cvs.) 余矢函数
- cot – cotangent function. (Also written as ctg.) 余切函数
- coth – hyperbolic cotangent function. 双曲余切函数
- cov – covariance of a pair of random variables. 协方差
- cover – coversine function. (Also written as covers, cvs, cosiv.) 余矢函数
- covercos – covercosine function. (Also written as cvc.) 正矢函数
- covers – coversine function. (Also written as cover, cvs, cosiv.) 余矢函数
- crd – chord function. 弦(几何)函数
- csc – cosecant function. (Also written as cosec.) 余割函数
- csch – hyperbolic cosecant function. (Also written as cosech.) 双曲余割函数
- ctg – cotangent function. (Also written as cot.) 余切函数
- curl – curl of a vector field. (Also written as rot.) 向量场的旋度
- cvc – covercosine function. (Also written as covercos.) 余余矢函数
- cvs – coversine function. (Also written as cover, covers, cosiv.) 正余矢函数
- def – define or definition. 定义
- deg – degree of a polynomial. (Also written as ∂.) 多项式的次数
- del – del, a differential operator. (Also written as .) 微分运算符
- det – determinant of a matrix or linear transformation. 矩阵或线性变换的行列式
- dim – dimension of a vector space. 向量空间的维度
- div – divergence of a vector field. 向量场的散度
- dkl – decalitre 公斗。公斗是一个容积单位,符号是daL。公斗本身不是国际单位制(SI)单位,而是接受与SI合并使用的非SI单位。1 公斗等于10 公升。
- DNE – a solution for an expression does not exist, or is undefined. Generally used with limits and integrals. 不存在,或未定义,通常用于极限和积分。
- dom – domain of a function.[1] (Or, more generally, a relation.) 函数的定义域
- End – categories of endomorphisms. 自同态范畴
- Ei – exponential integral function. 指数积分函数
- Eqn – equation. 方程
- erf – error function. 误差函数
- erfc – complementary error function. 余误差函数(互补误差函数)
- etr — exponent of the trace. 迹指数
- exc — excosecant function. (Also written as excsc, excosec.) 外余割函数
- excosec — excosecant function. (Also written as excsc, exc.) 外余割函数
- excsc — excosecant function. (Also written as excosec, exc.) 外余割函数
- exs — exsecant function. (Also written as exsec.) 外正割函数
- exsec — exsecant function. (Also written as exs.) 外正割函数
- exp – exponential function. (exp x is also written as ex.) 指数函数
- expm1 – exponential minus 1 function. (Also written as exp1m.) 指数减1函数
- exp1m – exponential minus 1 function. (Also written as expm1.) 指数减1函数
- Ext – Ext functor. Ext 函子
- ext – exterior. 外部(拓扑学)
- FIP – finite intersection property. 有限交集性质
- FOL – first-order logic. 一阶逻辑
- Frob – Frobenius endomorphism. 弗罗贝尼乌斯自同态
- Gal – Galois group. (Also written as Γ.) 伽罗瓦群
- gcd – greatest common divisor of two numbers. (Also written as hcf.) 两个数的最大公因数
- gd – Gudermannian function. 古德曼函数
- GF – Galois field. 伽罗瓦,即有限域(Finite field)
- GL – general linear group. 一般线性群
- G.M. – geometric mean. 几何平均数
- glb – greatest lower bound. (Also written as inf.) 最大下界
- G.P. – geometric progression. 等比数列
- grad – gradient of a function. 函数梯度
- hacover – hacoversine function. (Also written as hacovers, hcv.) 正半余矢函数
- hacovercos – hacovercosine function. (Also written as hcc.) 余半余矢函数
- hacovers – hacoversine function. (Also written as hacover, hcv.) 正半余矢函数
- hav – haversine function. (Also written as sem.) 正半正矢函数
- havercos – havercosine function. (Also written as hvc.) 余半正矢函数
- hcc – hacovercosine function. (Also written as hacovercos.) 余半余矢函数
- hcv – hacoversine function. (Also written as hacover, hacovers.) 正半余矢函数
- hcf – highest common factor of two numbers. (Also written as gcd.) 最大公因数
- H.M. – harmonic mean. 调和平均数
- HOL – higher-order logic. 高阶逻辑
- Hom – Hom functor. Hom 函子
- hom – hom-class hom类
- hvc – havercosine function. (Also written as havercos.) 余半正矢函数
- iff – if and only if. 当且仅当
- iid – independent and identically distributed random variables. 独立同分布随机变量
- Im – imaginary part of a complex number[2] (Also written as ).复数的虚部
- im – image 像(数学)
- inf – infimum of a set. (Also written as glb.) 集合的下确界
- int – interior. 内部(拓扑学)
- ker – kernel. 核(范畴论 Category theory)
- lb – binary logarithm (log2). (Also written as ld.) 以2为底的对数
- lcm – lowest common multiple or least common multiple of two numbers. 两个数的最小公倍数
- ld – binary logarithm (log2). (Also written as lb.) 以2为底的对数
- lerp – linear interpolation.[4] 线性插值
- lg – common logarithm (log10) or binary logarithm (log2). 常用对数或以2为底的对数
- LHS – left-hand side of an equation. 方程的左侧
- Li – offset logarithmic integral function. 偏移对数积分函数
- li – logarithmic integral function or linearly independent. 对数积分函数或线性无关
- lim – limit of a sequence, or of a function. 数列极限或函数极限
- lim inf – limit inferior. 下极限
- lim sup – limit superior. 上极限
- ln – natural logarithm, loge. 自然对数
- lnp1 – natural logarithm plus 1 function. 自然对数加1极限
- ln1p – natural logarithm plus 1 function. 自然对数加1极限
- log – logarithm. (If without a subscript, this may mean either log10 or loge.) 对数
- logh – natural logarithm, loge.[5] 自然对数
- LST – language of set theory. 集合论语言
- lub – least upper bound.[1] (Also written sup.) 最小上界
- max – maximum of a set. 集合的最大值
- M.I. – mathematical induction. 数学归纳法
- min – minimum of a set. 集合的最小值
- mod – modulo. 模数运算
- mtanh – modified hyperbolic tangent function. (Also written as mth.) 修改后的双曲正切函数
- mth – modified hyperbolic tangent function. (Also written as mtanh.) 修改后的双曲正切函数
- mx – matrix. 矩阵
- NAND – not-and in logic. 与非逻辑
- No. – number. 数
- NOR – not-or in logic. 或非逻辑
- NTS – need to show. 需要展示,需要展现
- ob – object class. 对象类
- ord – ordinal number of a well-ordered set.[3] 良序集的序数
- pdf – probability density function. 概率密度函数
- pf – proof. 证明
- PGL – projective general linear group. 射影一般线性群
- pmf – probability mass function. 概率质量函数
- Pr – probability of an event. (See Probability theory. Also written as P or .) 事件概率
- PSL – projective special linear group. 射影特殊线性群
- QED – "Quod erat demonstrandum", a Latin phrase used at the end of a definitive proof. 证明完毕,拉丁语,用在明确证明的结束处。
- QEF – "quod erat faciendum", a Latin phrase sometimes used at the end of a construction. 拉丁语,meaning "which had to be done",有时用在一次作图的结尾,意思是这就是要做的。
- ran – range of a function. 函数的值域
- rank – rank. (Also written as rk.) 秩(线性代数)
- Re – real part of a complex number.[2] (Also written .) 复数的实数部分
- resp – respectively. 分别地,各自地
- RHS – right-hand side of an equation. 方程的右侧
- rk – rank. (Also written as rank.) 秩(线性代数)
- RMS, rms – root mean square. 均方根
- rng – non-unital ring. 伪环pseudo-ring
- rot – rotor of a vector field. (Also written as curl.) 向量场的旋度
- RTP – required to prove. 需要证明
- RV – Random Variable. (or as R.V.) 随机变量
- sec – secant function. 正割函数
- sech – hyperbolic secant function. 双曲正割函数
- seg – initial segment of.[1] 初始线段,起始线段
- sem – haversine function. (Also written as hav.) 正半正矢函数
- SFIP – strong finite intersection property. 强有限交集性质
- sgn – signum function. 符号函数
- Shi – hyperbolic sine integral function. 双曲正弦积分函数
- Si – sine integral function. 正弦积分函数
- sin – sine function. 正弦函数
- sinc – sinc function. sinc函数
- sinh – hyperbolic sine function. 双曲正弦函数
- siv – versine function. (Also written as ver, vers.) 正矢函数
- SL – special linear group. 特殊线性组
- Soln – solution. 解答
- sp – linear span of a set of vectors. (Also written with angle brackets.) 一组向量的线性范围
- Spec – spectrum of a ring. 环的谱
- s.t. – such that or so that. 以便
- st – standard part function. 标准局部函数
- STP – [it is] sufficient to prove. 足以证明
- sup – supremum of a set.[1] (Also written lub.) 上确界,最小上界
- supp – support of a function. 函数的支撑集
- Sym – symmetric group (Sym(n) is also written as Sn.) 对称群(n次对称群)
- tan – tangent function. (Also written as tgn, tg.) 正切函数
- tanh – hyperbolic tangent function. 双曲正切函数
- TFAE – the following are equivalent. 以下是等价的
- tg – tangent function. (Also written as tan, tgn.) 正切函数
- tgn – tangent function. (Also written as tan, tg.) 正切函数
- Thm – theorem. 定理
- Tor – Tor functor. Tor 函子
- Tr – trace, either the field trace, or the trace of a matrix or linear transformation. 迹,或场迹,或矩阵或线性变换的迹
- undef – a function or expression is undefined 函数或表达式未定义
- var – variance of a random variable. 随机变量的方差
- vcs – vercosine function. (Also written as vercos.) 余矢函数
- ver – versine function. (Also written as vers, siv.) 正矢函数
- vercos – vercosine function. (Also written as vcs.) 余矢函数
- vers – versine function. (Also written as ver, siv.) 正矢函数
- W^5 – which was what we wanted. Synonym of Q.E.D. 这就是我们想要的,Q.E.D.的同义词
- walog – without any loss of generality. 不失一般性
- wff – well-formed formula. 合式公式
- whp – with high probability. 很大概率地
- wlog – without loss of generality. 不失一般性
- WMA – we may assume. 我们可能假设
- WO – well-ordered set.[1] 良序集
- wp1 - with probability 1. 以概率1
- wrt – with respect to or with regard to. 对
- WTP – want to prove. 想要证明
- WTS – want to show. 想要展示,想要展现
- XOR – exclusive or in logic. 异或逻辑
- ZF – Zermelo–Fraenkel axioms of set theory.[3] 集合论的策梅洛-弗兰克尔公理
- ZFC – Zermelo–Fraenkel axioms (with the Axiom of Choice) of set theory.[3] 集合论的(含有选择公理)策梅洛-弗兰克尔公理
References
- Goldrei, Derek (1996). Classic Set Theory. London, UK: Chapman and Hall. pp. 283–287 (Index). ISBN 0-412-60610-0.
- Priestley, H. A. (2003). Introduction to Complex Analysis (2 ed.). Oxford University Press. p. 321 (Notation index) ISBN 978-0-19-852562-2.
- Hamilton, A. G. (1982). Numbers, sets and axioms. Cambridge University Press. pp. 249–251 (Index of symbols). ISBN 0-521-24509-5. Raymond, Eric S. (2003), "LERP", Jargon File, 4.4.7
- Jolley, L.B.W. (1961). Summation of Series (2 (revised) ed.). New York, USA: Dover Publications, Inc.LCCN 61-65274.
English Texts From https://en.wikipedia.org/wiki/List_of_mathematical_abbreviations
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