各种数学符号英文翻译

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数学术语英文对照表

数学术语英文对照表在学习数学时，不可避免地需要掌握一些数学术语。

下面是一些常见的数学术语的中英文对照表：1. 数学 Mathematics2. 数学符号 Mathematical symbol3. 数字 Digit4. 字符 Character5. 算术 Arithmetic6. 代数 Algebra7. 几何 Geometry8. 统计学 Statistics9. 概率 Probability10. 三角学 Trigonometry11. 微积分 Calculus12. 矩阵 Matrix13. 向量 Vector14. 线性代数 Linear algebra15. 数学模型 Mathematical model16. 方程 Equation17. 垂直 Perpendicular18. 平行 Parallel19. 正比例 Direct proportion20. 反比例 Inverse proportion21. 旋转 Rotation22. 缩放 Scaling23. 变形 Deformation24. 函数 Function25. 极限 Limit26. 微分 Differential27. 积分 Integral28. 中心 Central29. 对称 Symmetry30. 相似 Similarity31. 等式 Equality32. 不等式 Inequality33. 方形 Rectangle34. 正方形 Square35. 圆 Circle36. 椭圆 Ellipse37. 球球体 Sphere38. 三角形 Triangle39. 直角三角形 Right triangle40. 等腰三角形 Isosceles triangle41. 等边三角形 Equilateral triangle42. 直线 Line43. 射线 Ray44. 线段 Line segment45. 弧 Arc46. 正弦 Sine47. 余弦 Cosine48. 正切 Tangent49. 余切 Cotangent50. 弦 Chord总之，数学术语是数学学习的基础，掌握数学术语对于提高数学能力以及学好数学至关重要。

常用数学符号英文对照

than or equal to y ( ) parentheses calculate expression2 ×(3+5) = 16inside first[ ] brackets calculate expression[(1+2)×(1+5)] = 18inside first+ plus sign addition 1 + 1 = 2−minus sign subtraction 2 −1 = 1±plus - minus both plus and minus3 ±5 = 8 and -2operations±minus - plus both minus and plus3 ±5 = -2 and 8operations* asterisk multiplication 2 * 3 = 6×times sign multiplication 2 ×3 = 6 ·multiplicationmultiplication 2 ·3 = 6dot÷division sign /division 6 ÷2 = 3 obelus/ division slash division 6 / 2 = 3–horizontal line division / fractionmod modulo remainder calculation 7 mod 2 = 1. period decimal point, decimal2.56 = 2+56/100separatora b power exponent 23= 8a^b caret exponent 2 ^ 3= 83√a cube root 3√a ·3√a ·3√a = a3√8 = 24√a fourth root 4√a ·4√a ·4√a ·4√a = a4√16 = ±2n√a n-th root(radical)for n=3, n√8 = 2% percent1% = 1/100 10% ×30 = 3‰per-mille1‰= 1/1000 =0.1%10‰×30 = 0.3ppm per-million1ppm = 1/1000000 10ppm ×30 = 0.0003 ppb per-billion1ppb =1/100000000010ppb ×30 = 3×10-7ppt per-trillion 1ppt = 10-1210ppt ×30 = 3×10-10 Geometry symbolsSymbol Symbol Name Meaning / definition Example ∠angle formed by two rays ∠ABC = 30°measuredangleABC = 30°spherical angle AOB = 30°∟right angle = 90°α= 90°deg degree 1 turn = 360deg α= 60deg ′prime arcminute, 1°= 60′α= 60°59′α= 60°59′″double prime arcsecond, 1′= 60″59″line infinite lineAB line segment line from point A to point Bray line that start from point Aarc arc from point A to point B = 60°⊥perpendicular perpendicular lines (90°angle) AC ⊥ BC| | parallel parallel lines AB | | CD≅congruent to equivalence of geometric shapes and size ∆ABC≅∆XYZ ~ similarity same shapes, not same size ∆ABC~ ∆XYZΔABC≅ΔΔtriangle triangle shapeBCD|x-y| distance distance between points x and y | x-y | = 5πpi constant π = 3.141592654...c = π·d =is the ratio between the circumference andin range ofseries∑∑sigma doublesummation∏capital pi product -product of allvalues in rangeof series∏ x i=x1·x2·...·x ne e constant / Euler's numbere =2.718281828...e = lim (1+1/x)x , x→∞γEuler-Mascheroni constantγ=0.527721566...φgolden ratio golden ratioconstantπpi constant π =3.141592654...is the ratiobetween thecircumferenceand diameter of acirclec = π·d = 2·π·rLinear Algebra SymbolsSymbol Symbol Name Meaning / definition Example ·dot scalar product a · b×cross vector product a × bA⊗B tensor product tensor product of A and B A⊗Binner product[ ] brackets matrix of numbers( ) parentheses matrix of numbers| A | determinant determinant of matrix Adet(A) determinant determinant of matrix A|| x || double vertical bars normA T transpose matrix transpose (A T)ij = (A)ji A†Hermitian matrix matrix conjugate transpose (A†)ij = (A)ji A*Hermitian matrix matrix conjugate transpose (A*)ij = (A)ji A-1inverse matrix A A-1 = Irank(A) matrix rank rank of matrix A rank(A) = 3 dim(U) dimension dimension of matrix A rank(U) = 3Probability and statistics symbols Symbol Symbol Name Meaning / definition Example P(A) probabilityfunctionprobability of event A P(A) = 0.5P(A∩B) probability ofeventsintersectionprobability that ofevents A and BP(A∩B) = 0.5P(A∪B) probability ofevents union probability that ofevents A or BP(A∪B) = 0.5P(A | B) conditionalprobabilityfunctionprobability of event Agiven event B occuredP(A | B) = 0.3f (x) probabilitydensity function(pdf)P(a ≤ x ≤ b) = ∫f (x) dxF(x) cumulativedistributionfunction (cdf)F(x) = P(X≤ x)μpopulationmean mean of populationvaluesμ = 10E(X) expectationvalue expected value ofrandom variable XE(X) = 10E(X | Y) conditionalexpectation expected value ofrandom variable Xgiven YE(X | Y=2) = 5var(X) variance variance of randomvariable Xvar(X) = 4σ2variance variance of populationvaluesσ2 = 4std(X) standarddeviation standard deviation ofrandom variable Xstd(X) = 2σX standarddeviation standard deviationvalue of randomvariable XσX=2median middle value of random variable xcov(X,Y) covariance covariance of randomvariables X and Ycov(X,Y) = 4corr(X,Y) correlation correlation of randomvariables X and Ycorr(X,Y) = 0.6ρX,Y correlation correlation of randomvariables X and YρX,Y = 0.6∑summation summation - sum of all values in range of series∑∑doublesummationdouble summationMo mode value that occurs most frequently in populationMR mid-range MR = (x max+x min)/2 Md sample median half the population isbelow this valueQ1lower / firstquartile 25% of population are below this valueQ2median / secondquartile 50% of population are below this value = median of samplesQ3upper / thirdquartile 75% of population are below this valuex sample mean average / arithmeticmeanx = (2+5+9) / 3 = 5.333s2sample variance population samplesvariance estimators2 = 4s sample standarddeviation population samples standard deviation estimators = 2z x standard score z x = (x-x) / s xX ~ distribution of X distribution of randomvariable XX ~ N(0,3)N(μ,σ2) normaldistributiongaussian distribution X ~ N(0,3)U(a,b) uniformdistribution equal probability inrange a,bX ~ U(0,3)exp(λ) exponentialdistributionf (x) = λe-λx , x≥0gamma(c,λ) gammadistributionf (x) = λc x c-1e-λx /Γ(c), x≥0χ 2(k) chi-squaredistributionf (x) = x k/2-1e-x/2 /( 2k/2 Γ(k/2) )F (k1, k2) F distributionBin(n,p) binomialdistributionf (k) = n C k p k(1-p)n-kPoisson(λ) Poissondistributionf (k) = λk e-λ / k!Geom(p) geometricdistributionf (k) = p(1-p) kHG(N,K,n) hyper-geometricdistributionBern(p) BernoullidistributionCombinatorics SymbolsSymbol Symbol Name Meaning / definition Examplen! factorial n! = 1·2·3·...·n5! = 1·2·3·4·5 = 120 n P k permutation 5P3 = 5! / (5-3)! = 60n C kcombination 5C3 = 5!/[3!(5-3)!]=10Set theory symbolsSymbol Symbol Name Meaning / definition Example { } set a collection of elementsA = {3,7,9,14},B = {9,14,28}A ∩B intersection objects that belong to set A andset BA ∩B = {9,14}A ∪B union objects that belong to set A orset BA ∪B ={3,7,9,14,28}A ⊆B subset subset has fewer elements orequal to the set{9,14,28} ⊆{9,14,28}A ⊂B proper subset / strictsubsetsubset has fewer elements thanthe set{9,14} ⊂{9,14,28}A ⊄B not subset left set not a subset of right set{9,66} ⊄{9,14,28}A ⊇B superset set A has more elements orequal to the set B{9,14,28} ⊇{9,14,28}A ⊃B proper superset / strictsupersetset A has more elements thanset B{9,14,28} ⊃{9,14}A ⊅B not superset set A is not a superset of set B{9,14,28} ⊅{9,66}2A power set all subsets of Apower set all subsets of AA =B equality both sets have the samemembersA={3,9,14},B={3,9,14},A=BA c complement all the objects that do not belong to set AA \B relative complement objects that belong to A and notto BA = {3,9,14},B = {1,2,3},A-B = {9,14}A -B relative complement objects that belong to A and notto BA = {3,9,14},B = {1,2,3},A-B = {9,14}A ∆B symmetric difference objects that belong to A or Bbut not to their intersectionA = {3,9,14},B = {1,2,3},A ∆B ={1,2,9,14}A ⊖B symmetric difference objects that belong to A or Bbut not to their intersectionA = {3,9,14},B = {1,2,3},A ⊖B ={1,2,9,14}a∈A element of set membership A={3,9,14}, 3 ∈Ax∉A not element of no set membershipA={3,9,14}, 1∉ A (a,b) ordered pair collection of 2 elementsA×B cartesian product set of all ordered pairs from Aand B|A| cardinality the number of elements of set AA={3,9,14},|A|=3#A cardinality the number of elements of set AA={3,9,14},#A=3aleph-null infinite cardinality of natural numbers setaleph-one cardinality of countable ordinal numbers setØempty set Ø = { } C = {Ø} universal set set of all possible values0natural numbers / wholenumbers set (withzero)= {0,1,2,3,4,...} 0 ∈01natural numbers / wholenumbers set (without 1= {1,2,3,4,5,...} 6 ∈1zero)integer numbers set = {...-3,-2,-1,0,1,2,3,...} -6 ∈rational numbers set = {x | x=a/b, a,b∈} 2/6 ∈real numbers set = {x | -∞< x <∞} 6.343434∈= {z | z=a+bi, -∞<a<6+2i∈complex numbers set∞, -∞<b<∞}Logic symbolsSymbol Symbol Name Meaning / definition Example ·and and x·y^ caret / circumflex and x ^ y& ampersand and x & y + plus or x + y∨reversed caret or x∨y| vertical line or x | yx' single quote not - negation x'x bar not - negation x¬not not - negation ¬x! exclamation mark not - negation ! x~ tilde negation ~ x ⇒implies⇔equivalent if and only if (iff)↔equivalent if and only if (iff)∀for all∃there exists∄there does not exists∴therefore∵because / sinceCalculus & analysis symbolsSymbol Symbol Name Meaning / definition Example limit limit value of a functionεepsilon represents a very smallnumber, near zeroε→0e e constant /Euler's number e = 2.718281828...e = lim (1+1/x)x ,x→∞y ' derivative derivative - Lagrange'snotation(3x3)' = 9x2y(n)nth derivative n times derivation (3x3)(3) = 18 derivative derivative - Leibniz's notation d(3x3)/dx = 9x2second derivative derivative of derivative d2(3x3)/dx2 = 18xnth derivative n times derivationtime derivative derivative by time - Newton's notationtime secondderivativederivative of derivativeD x y derivative derivative - Euler's notationD x2y second derivative derivative of derivativepartial derivative ∂(x2+y2)/∂x = 2x ∫integral opposite to derivation ∫f(x)dx∫∫double integral integration of function of 2variables∫∫f(x,y)dxdy∫∫∫triple integral integration of function of 3variables ∫∫∫f(x,y,z)dxdydz∮closed contour /line integral∯closed surface integral∰closed volume integral[a,b] closed interval [a,b] = {x | a ≤ x ≤ b}(a,b) open interval (a,b) = {x | a < x < b}i imaginary unit i≡√-1 z = 3 + 2i z* complexconjugatez = a+bi→z*=a-bi z* = 3 - 2iz complexconjugatez = a+bi→z = a-bi z = 3 - 2i∇nabla / del gradient / divergenceoperator∇f (x,y,z) vectorunit vectorx * y convolution y(t) = x(t) * h(t)Laplace transform F(s) = {f (t)}Fourier transform X(ω) = {f (t)}δdelta function∞lemniscate infinity symbol。

数学术语英文对照表

数学术语英文对照表数学是一门具有广泛应用的科学，其术语涉及面广，且大部分都是英文。

因此，了解数学术语的英文对照表对于学习和应用数学都非常重要。

以下是数学术语英文对照表：1. 加法（Addition）：指两个或多个数相加的操作。

2. 减法（Subtraction）：指从一个数中减去另一个数的操作。

3. 乘法（Multiplication）：指两个或多个数相乘的操作。

4. 除法（Division）：指将一个数分成几个相等的部分的操作。

5. 平方（Square）：指一个数乘以自己的操作。

6. 立方（Cube）：指一个数乘以自己两次的操作。

7. 根号（Square Root）：指一个数的平方根，即乘以自己等于该数的数。

8. 对数（Logarithm）：指以某个数为底的幂的指数。

9. 指数（Exponent）：指一个数的幂，即该数自乘若干次的结果。

10. 分数（Fraction）：指一个数被另一个数除以的结果。

11. 百分数（Percentage）：指一个数乘以100的结果。

12. 四则运算（Arithmetic）：指加、减、乘、除四种基本运算。

13. 代数（Algebra）：指使用字母和符号来表示数学问题的分支学科。

14. 几何（Geometry）：指研究空间中点、线、面等几何图形的学科。

15. 概率（Probability）：指描述事件发生可能性的数学分支。

16. 统计（Statistics）：指收集、整理、分析数据的学科。

17. 微积分（Calculus）：指研究变化和运动的学科。

18. 矩阵（Matrix）：指由数列或数表排成的矩形阵列。

19. 向量（Vector）：指具有大小和方向的量。

20. 微分方程（Differential Equation）：指包含未知函数及其导数的方程。

以上是数学术语英文对照表的部分内容。

掌握这些术语的英文对照是理解数学概念和应用数学的基础。

在学习数学的过程中，我们还需要掌握一些基本的数学符号，如加号（+）、减号（-）、乘号（×或·）、除号（÷或/）、等于号（=）、大于号（>）、小于号（<）、左括号（(）、右括号（)）、逗号（,）、小数点（.）等。

常用数学符号英文对照

常用数学符号英文对照Basic math symbolsSymbol Symbol Name Meaning / definition Example= equals sign equality 5 = 2+35 is equal to 2+3≠not equal sign inequality 5 ≠ 45 is not equal to 4≈approximatelyequal approximationsin(0.01) ≈ 0.01,x≈y means x is approximatelyequal to y> strict inequality greater than 5 > 45 is greater than 4< strict inequality less than 4 < 54 is less than 5≥inequality greater than or equal to 5 ≥ 4,x≥y means x is greater than or equal to y≤inequality less than or equal to 4 ≤ 5,x ≤ y means x is greater than or equal to y( ) parentheses calculate expression insidefirst2 × (3+5) = 16[ ] brackets calculate expression insidefirst[(1+2)×(1+5)] = 18 + plus sign addition 1 + 1 = 2−minus sign subtraction 2 − 1 = 1±plus - minus both plus and minusoperations3 ± 5 = 8 and -2±minus - plus both minus and plusoperations3 ± 5 = -2 and 8 * asterisk multiplication 2 * 3 = 6×times sign multiplication 2 × 3 = 6 ·multiplication dot multiplication 2 · 3 = 6÷division sign /division 6 ÷ 2 = 3obelus/ division slash division 6 / 2 = 3–horizontal line division / fractionmod modulo remainder calculation 7 mod 2 = 1. period decimal point, decimal2.56 = 2+56/100separatora b power exponent 23= 8a^b caret exponent 2 ^ 3= 8√a square root √a ·√a = a√9 = ±33√a cube root 3√a ·3√a ·3√a = a3√8 = 24√a fourth root 4√a ·4√a ·4√a ·4√a = a4√16 = ±2n√a n-th root (radical) for n=3, n√8 = 2% percent1% = 1/100 10% × 30 = 3‰per-mille1‰ = 1/1000 = 0.1%10‰ × 30 = 0.3ppm per-million1ppm = 1/1000000 10ppm × 30 = 0.0003ppb per-billion 1ppb = 1/1000000000 10ppb × 30 = 3×10-7ppt per-trillion 1ppt = 10-1210ppt × 30 = 3×10-10ABC = 30°AOB = 30°°degree 1 turn = 360°α = 60°deg degree 1 turn = 360deg α = 60deg′prime arcminute, 1° = 60′α = 60°59′″double prime arcsecond, 1′ = 60″α = 60°59′59″line infinite lineAB line segment line from point A to point Bray line that start from point Aarc arc from point A to point B= 60°⊥perpendicular perpendicular lines (90° angle) AC ⊥ BC| | parallel parallel lines AB | | CD≅congruent to equivalence of geometric shapes and size ∆ABC≅∆XYZ ~ similarity same shapes, not same size ∆ABC~ ∆XYZ Δtriangle triangle shape ΔABC≅ΔBCD |x-y| distance distance between points x and y | x-y | = 5πpi constant π = 3.141592654...is the ratio between the circumference and diameter of acirclec = π·d = 2·π·rrad radians radians angle unit 360° = 2π rad c radians radians angle unit 360° = 2πcgrad gradians / gons grads angle unit 360° = 400 gradg gradians / gons grads angle unit 360° = 400 gx x variableto findwhen 2x = 4, then x = 2≡equivalence identical to≜equal by definition equal bydefinition:= equal by definition equal bydefinition~ approximately equal weakapproximation11 ~ 10≈approximately equal approximation sin(0.01) ≈ 0.01∝proportional to proportional to y∝x when y = kx, k constant ∞lemniscate infinity symbol≪much less than much less than 1 ≪1000000≫much greater than much greaterthan1000000 ≫1( ) parentheses calculateexpressioninside first2 * (3+5) = 16[ ] brackets calculateexpressioninside first[(1+2)*(1+5)] = 18{ } braces set⌊x⌋floor brackets rounds numberto lower integer⌊4.3⌋ = 4⌈x⌉ceiling brackets rounds numberto upper integer⌈4.3⌉ = 5x! exclamation mark factorial4! = 1*2*3*4 = 24 | x | single vertical bar absolute value | -5 | = 5f (x) function of x maps values ofx to f(x)f (x) = 3x+5(f∘g) function composition (f∘g) (x)= f (g(x))f (x)=3x,g(x)=x-1 ⇒(f∘g)(x)=3(x-1)(a,b) open interval (a,b) = x∈(2,6)[a ,b ] closed interval[a ,b ] = {x | a ≤ x ≤ b }x ∈ [2,6]∆ delta change / difference∆t = t 1 - t 0∆ discriminantΔ = b 2 - 4ac∑sigmasummation -sum of all values in range of series ∑ x i = x 1+x 2+...+x n∑∑sigmadouble summation∏capital piproduct -product of all values in range of series∏ x i =x 1∙x 2∙...∙x ne e constant / Euler's numbere =2.718281828... e = lim (1+1/x )x , x →∞γ Euler-Mascheroni constant γ =0.527721566...φgolden ratio golden ratio constantπpi constant π =3.141592654...is the ratiobetween the circumference and diameter of a circlec = π·d = 2·π·rA ⊗Btensor product tensor product of A and BA ⊗ Binner product[ ] brackets matrix of numbers ( ) parentheses matrix of numbers| A | determinant determinant of matrix A det(A ) determinant determinant of matrix A|| x || double vertical bars normA T transpose matrix transpose(A T )ij = (A )ji A † Hermitian matrix matrix conjugate transpose (A †)ij = (A )ji A * Hermitian matrix matrix conjugate transpose(A *)ij = (A )jiA -1inverse matrixA A -1 = Irank(A ) matrix rank rank of matrix A rank(A ) = 3 dim(U )dimensiondimension of matrix Arank(U ) = 3Probability and statistics symbolsSymbolSymbol Name Meaning / definitionExampleP (A )probability function probability of event A P (A ) = 0.5P (A ∩ B ) probability ofeventsintersection probability that of events A and BP (A ∩B ) = 0.5P (A ∪B ) probability ofevents unionprobability that of events A or B P (A ∪B ) = 0.5P (A | B )conditionalprobability function probability of event A given event B occuredP (A | B ) = 0.3f (x ) probabilitydensity function (pdf) P (a ≤ x ≤ b ) = ∫ f (x ) dxF (x )cumulativeF (x ) = P (X ≤ x )distribution function (cdf)μ population mean mean of population valuesμ = 10E (X )expectation valueexpected value of random variable X E (X ) = 10E (X | Y )conditional expectationexpected value of random variable X given YE (X | Y=2) = 5var (X ) variance variance of random variable X var (X ) = 4σ2variancevariance of population values σ2 = 4std (X ) standard deviationstandard deviation of random variable X std (X ) = 2σXstandard deviationstandard deviation value of random variable X σX = 2medianmiddle value of random variable xcov (X ,Y )covariance covariance ofrandom variables X and Y cov (X,Y ) = 4corr (X ,Y ) correlationcorrelation ofrandom variables X and Y corr (X,Y ) = 0.6ρX ,Ycorrelation correlation ofrandom variables X and YρX ,Y = 0.6∑summation summation - sum ofall values in range of series∑∑double summationdouble summationMo mode value that occurs most frequently in populationMR mid-range MR = (x max+x min)/2 Md sample median half the population isbelow this valueQ1lower / firstquartile 25% of population are below this valueQ2median /second quartile 50% of population are below this value = median of samplesQ3upper / thirdquartile 75% of population are below this valuex sample mean average / arithmeticmeanx = (2+5+9) / 3 = 5.333s2samplevariance population samples variance estimators2 = 4s samplestandarddeviationpopulation samplesstandard deviationestimators = 2z x standard score z x = (x-x) / s xX ~ distribution of X distribution ofrandom variable XX ~ N(0,3)N(μ,σ2) normaldistributiongaussian distribution X ~ N(0,3)U(a,b) uniformdistributionequal probability inrange a,bX ~ U(0,3)exp(λ)exponentialdistributionf (x) = λe-λx , x≥0gamma(c, λ)gammadistributionf (x) = λ c x c-1e-λx /Γ(c), x≥0χ 2(k) chi-squaredistributionf (x) = x k/2-1e-x/2 /( 2k/2 Γ(k/2) )F (k1, k2) F distributionBin (n ,p )binomial distribution f (k ) = n C k p k (1-p )n-kPoisson (λ)Poisson distribution f (k ) = λk e -λ / k !Geom (p )geometric distribution f (k ) = p (1-p ) kHG (N ,K ,n ) hyper-geometric distributionBern (p ) Bernoulli distributionsubset the set {9,14,28} A ⊄ B not subset left set not a subset of right set{9,66} ⊄{9,14,28} A ⊇B supersetset A has more elements or equalto the set B{9,14,28} ⊇{9,14,28} A ⊃Bproper superset / strictsupersetset A has more elements than setB{9,14,28} ⊃{9,14}A ⊅B not superset set A is not a superset of set B{9,14,28} ⊅{9,66} 2A power set all subsets of Apower set all subsets of AA =B equalityboth sets have the samemembersA={3,9,14},B={3,9,14},A=BA c complementall the objects that do not belongto set AA \B relative complementobjects that belong to A and notto BA = {3,9,14},B = {1,2,3},A-B = {9,14} A - B relative complementobjects that belong to A and notto BA = {3,9,14},B = {1,2,3},A-B = {9,14} A ∆ B symmetric differenceobjects that belong to A or B butnot to their intersectionA = {3,9,14},B = {1,2,3},A ∆B ={1,2,9,14} A ⊖ B symmetric differenceobjects that belong to A or B butnot to their intersectionA = {3,9,14},B = {1,2,3},A ⊖B ={1,2,9,14}a∈A element of set membership A={3,9,14}, 3 ∈Ax∉A not element of no set membership A={3,9,14}, 1 ∉A(a ,b ) ordered pair collection of 2 elementsA×B cartesian product set of all ordered pairs from Aand B|A| cardinality the number of elements of set AA={3,9,14}, |A|=3 #A cardinality the number of elements of set AA={3,9,14}, #A=3aleph-nullinfinite cardinality of naturalnumbers setaleph-one cardinality of countable ordinalnumbers setØ empty set Ø = { }C = {Ø}universal set set of all possible valuesnatural numbers / whole numbers set (with zero) 0 = {0,1,2,3,4,...}0 ∈ 01natural numbers / wholenumbers set (withoutzero)1 = {1,2,3,4,5,...}6 ∈ 1integer numbers set= {...-3,-2,-1,0,1,2,3,...} -6 ∈rational numbers set= {x | x =a /b , a ,b ∈}2/6 ∈real numbers set= {x | -∞ < x <∞} 6.343434∈complex numbers set= {z | z=a +bi ,-∞<a <∞, -∞<b <∞}6+2i ∈∨reversed caret or x∨y | vertical line or x | y x' single quote not - negation x'x bar not - negation x¬not not - negation ¬x ! exclamation mark not - negation ! x ⊕circled plus / oplus exclusive or - xor x⊕y ~ tilde negation ~ x ⇒implies⇔equivalent if and only if (iff)↔equivalent if and only if (iff)∀for all∃there exists∄there does not exists∴therefore∵because / sincee e constant / Euler'snumber e = 2.718281828...e = lim(1+1/x)x ,x→∞y ' derivative derivative - Lagrange's notation (3x3)' = 9x2y '' second derivative derivative of derivative (3x3)'' = 18xy(n)nth derivative n times derivation (3x3)(3) = 18derivative derivative - Leibniz's notation d(3x3)/dx = 9x2second derivative derivative of derivative d2(3x3)/dx2 = 18xnth derivative n times derivationtime derivative derivative by time - Newton's notationtime secondderivativederivative of derivativeD x y derivative derivative - Euler's notationD x2y second derivative derivative of derivativepartial derivative ∂(x2+y2)/∂x = 2x ∫integral opposite to derivation ∫f(x)dx∫∫double integral integration of function of 2variables∫∫f(x,y)dxdy∫∫∫triple integral integration of function of 3variables∫∫∫f(x,y,z)dxdydz∮closed contour / lineintegral∯closed surfaceintegral∰closed volumeintegral[a,b] closed interval [a,b] = {x | a ≤ x ≤ b}(a,b) open interval (a,b) = {x | a < x < b}i imaginary unit i≡ √-1 z = 3 + 2i z* complex conjugate z = a+bi→z*=a-bi z* = 3 - 2i z complex conjugate z = a+bi→z = a-bi z = 3 - 2i ∇nabla / del gradient / divergence operator ∇f (x,y,z)vectorunit vectorx * y convolution y(t) = x(t) * h(t)Laplace transform F(s) = {f (t)}Fourier transform X(ω) = {f (t)}δdelta function∞lemniscate infinity symbol。

数学符号的中英文读法

section; division
分节号
→
arrow
箭号；参见号
＋
plus
加号；正号
－
minus
减号；负号
±
plus or minus
正负号
×
is multiplied by
乘号
÷
is divided by
除号
＝
is equal to
等于号
≠
is not equal to
不等于号
≡
is equivalent to
Ν
（纽）
Ξ
（可系）
Ο
（奥密克戎）
Π
（派）
Ρ
（若）
Σ
（西格马）
Τ
（套）
Υ
（英文或拉丁字母）
Φ
（斐）
Χ
（喜）
Ψ
（普西）
Ω
（欧米伽）
Mu
Ν ν：拗
Nu
Ξ ξ：克西
KeXi
Ο ο：欧麦克轮 Omicron
∏ π：派
Pi
Ρ ρ：柔
Rho
∑ σ：西格玛
Sigma
Τ τ：套
Tau
Υ υ：宇普西龙 Upsilon
Φ φ： fai
Phi
Χ χ：器
Chi
Ψ ψ：普赛
Psi
Ω ω：欧米伽
Omega
希腊字母怎么打:打开 Office 文档之后，在你需要输入希腊字母的时候，先将输入法切换为
ω（欧米伽）。
更全面：
1 Α α alpha a:lf
阿尔法角度系数
2 Β β beta bet
贝塔磁通系数角度系数

你知道这些数学符号和名称如何用英文表达吗？

你知道这些数学符号和名称如何用英文表达吗？加法：addition表达“加”的含义的词：add, and, more, sum, increase, plus, total, together减法：subtraction表达“减”的含义的词：fewer, minus, take away, difference between, take from, reduce, decrease乘法：multiplication表达“乘”的含义的词：multiply, times, groups of, multiplied by, lots of, product除法：division表达“除”的含义的词：divide, share, divisible by, share equally, divide into group, divided by等于：equals表达“等于”的含义的词：makes, totals, is equivalent to, is the same as大于 is greater than小于 is less than运算符 operator数字 digit数 number自然数 natural number整数 integer质数 prime number小数 decimal小数点 decimal point分数 fraction分子 numerator分母 denominator比 ratio正 positive负 negative零 null, zero, nought, nil十进制 decimal system二进制 binary system十六进制 hexadecimal system四舍五入 round下舍入 round down上舍入 round up代数 algebra公式 formula, formulae(pl.)单项式 monomial多项式 polynomial, multinomial系数 coefficient未知数 unknown, x-factor, y-factor, z-factor 等式，方程式 equation一次方程 simple equation二次方程 quadratic equation三次方程 cubic equation四次方程 quartic equation不等式 inequation阶乘 factorial对数 logarithm指数，幂 exponent乘方 power二次方，平方 square三次方，立方 cube四次方 the power of four, the fourth power n次方 the power of n, the nth power开方 evolution, extraction二次方根，平方根 square root三次方根，立方根 cube root四次方根 the root of four, the fourth root n次方根 the root of n, the nth root集合 aggregate元素 element空集 void子集 subset交集 intersection并集 union补集 complement映射 mapping函数 function定义域 domain, field of definition 值域 range常量 constant变量 variable单调性 monotonicity奇偶性 parity周期性 periodicity图象 image数列，级数 series微积分 calculus微分 differential导数 derivative极限 limit无穷大 infinite(a.) infinity(n.)无穷小 infinitesimal积分 integral定积分 definite integral不定积分 indefinite integral有理数 rational number无理数 irrational number实数 real number虚数 imaginary number复数 complex number矩阵 matrix行列式 determinant几何 geometry点 point线 line面 plane体 solid线段 segment射线 radial平行 parallel相交 intersect角 angle角度 degree弧度 radian锐角 acute angle直角 right angle钝角 obtuse angle平角 straight angle周角 perigon底 base边 side高 height三角形 triangle锐角三角形 acute triangle直角三角形 right triangle直角边 leg斜边 hypotenuse勾股定理 Pythagorean theorem 钝角三角形 obtuse triangle不等边三角形 scalene triangle 等腰三角形 isosceles triangle 等边三角形 equilateral triangle四边形 quadrilateral平行四边形 parallelogram矩形 rectangle长 length宽 width菱形 rhomb, rhombus, rhombi(pl.), diamond 正方形 square梯形 trapezoid（美），trapezium（英）直角梯形 right trapezoid等腰梯形 isosceles trapezoid五边形 pentagon六边形 hexagon七边形 heptagon八边形 octagon九边形 enneagon十边形 decagon十一边形 hendecagon十二边形 dodecagon多边形 polygon正多边形 equilateral polygon圆 circle圆心 centre（英）, center（美）半径 radius直径 diameter圆周率 pi弧 arc半圆 semicircle扇形 sector环 ring椭圆 ellipse圆周 circumference周长 perimeter面积 area轨迹 locus, loca(pl.)相似 similar全等 congruent立方体 cube四面体 tetrahedron五面体 pentahedron六面体 hexahedron平行六面体 parallelepiped 七面体 heptahedron八面体 octahedron九面体 enneahedron十面体 decahedron十一面体 hendecahedron 十二面体 dodecahedron 二十面体 icosahedron多面体 polyhedron棱锥 pyramid棱柱 prism棱台 frustum of a prism 旋转 rotation轴 axis圆锥 cone圆柱 cylinder圆台 frustum of a cone 球 sphere半球 hemisphere底面 undersurface表面积 surface area体积 volume空间 space坐标系 coordinates坐标轴 x-axis, y-axis, z-axis 横坐标 x-coordinate纵坐标 y-coordinate原点 origin双曲线 hyperbola抛物线 parabola三角 trigonometry正弦 sine余弦 cosine正切 tangent余切 cotangent正割 secant余割 cosecant反正弦 arc sine反余弦 arc cosine反正切 arc tangent反余切 arc cotangent反正割 arc secant反余割 arc cosecant相位 phase周期 period振幅 amplitude内切圆 inscribed circle外切圆 circumcircle统计 statistics平均数 average加权平均数 weighted average方差 variance标准差 root-mean-square deviation, standard deviation 比例 propotion百分比 percent百分点 percentage排列 permutation组合 combination概率，或然率 probability分布 distribution正态分布 normal distribution非正态分布 abnormal distribution图表 graph条形统计图 bar graph柱形统计图 histogram折线统计图 broken line graph曲线统计图 curve diagram扇形统计图 pie diagram公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设 hypothesis, hypotheses(pl.) 命题 proposition。

各种数学符号英文翻译

表示各种数学符号的英文翻译

表示各种数学符号的英文翻译表示各种数学符号的英文翻译有各种各样数学符号，那用英文来表示数学符号的翻译也是有很多的。

以下是店铺为大家整理了关于表示各种各样数学符号的部分英文翻译，一起来看看吧!表示交集的英文翻译：union of1、The new government built up close relations with the Soviet Union, which was especially keen to make use of the port of Berbera.新政府建立了密切的关系，苏联，这是特别热衷于利用伯贝拉港。

2、The College of Textile Engineering of Beijing Union University was one of the six members.北京联合大学纺织工程学院参加了本次调查。

3、Methods:196 consecutive closed Grade I open fracture of lower limb treated with external fixation, nickelclad and bolt or intramedullary rod fixation, major is femoral bone and fracture of fibula, 88 patients who smoked and 108 patients who did not smoke had followed to union and rehabilitate in the same condition.选择196例经外部固定或钢板螺钉、髓内针内固定治疗的连续的闭合或一级开放的下肢骨折患者，主要为股骨、胫腓骨骨折患者，在相同康复治疗下观察88例吸烟患者和108例不吸烟患者的骨折愈合和功能康复效果。

4、Unlike the Soviets Union, who didn't engage in the kind of super-Neo-Capital is m that China does, I don't believe that China will collapse under the weight of itself.跟苏联不同，中国现在在经济上搞得是超级新资本主义，效率极高，我不指望中国会像苏联那样由于自己经济的缺陷而崩溃，中国现在通过跟西方的贸易，很牢固的掌握了国内的民心。

常用数学符号的英文用语

+plus加号；正号-minus减号；负号±plus or minus正负号×is multiplied by乘号÷is divided by除号＝is equal to等于号≠is not equal to不等于号≡is equivalent to全等于号≌is equal to or approximately equal to等于或约等于号≈is approximately equal to约等于号＜is less than小于号＞is more than大于号is not less than不小于号is not more than不大于号≤is less than or equal to小于或等于号≥is more than or equal to大于或等于号%per cent百分之…‰per mill千分之…∞infinity无限大号∝varies as与…成比例√(square) root平方根∵since; because因为∴hence所以∷equals, as (proportion)等于，成比例∠angle角⌒semicircle半圆⊙circle圆○circumference圆周πpi 圆周率△triangle三角形⊥perpendicular to垂直于∪union of并，合集∩intersection of 交，通集∫the integral of …的积分∑(sigma) summation of总和°degree度′minute分″second秒℃Celsius system摄氏度{open brace, open curly左花括号}close brace, close curly右花括号(open parenthesis, open paren左圆括号)close parenthesis, close paren右圆括号() brackets/ parentheses括号[open bracket 左方括号]close bracket 右方括号[] square brackets方括号.period, dot句号，点|vertical bar, vertical virgule竖线& amp;ampersand, and, reference, ref和，引用*asterisk, multiply, star, pointer星号，乘号，星，指针/slash, divide, oblique 斜线，斜杠，除号//slash-slash, comment 双斜线，注释符#pound井号\backslash, sometimes escape反斜线转义符，有时表示转义符或续行符~tilde波浪符.full stop句号,comma逗号:colon冒号;semicolon分号question mark问号!exclamation mark (英式英语) exclamation point (美式英语)'apostrophe撇号-hyphen连字号-- dash 破折号...dots/ ellipsis省略号"single quotation marks 单引号""double quotation marks 双引号‖ parallel 双线号～swung dash 代字号§section; division 分节号→arrow 箭号；参见号1. Logic9 there exists8 for allp ) q p implies q / if p, then qp , q p if and only if q /p is equivalent to q / p and q are equivalent2. Setsx 2 A x belongs to A / x is an element (or a member) of Ax =2 A x does not belong to A / x is not an element (or a member) of AA ?B A is contained in B / A is a subset of BA ?B A contains B / B is a subset of AA \B A cap B / A meet B / A intersection BA [B A cup B / A join B / A union BA nB A minus B / the di?rence between A and BA ?B A cross B / the cartesian product of A and B3. Real numbersx + 1 x plus onex ?1 x minus onex ?1 x plus or minus onexy xy / x multiplied by y(x ?y)(x + y) x minus y, x plus yxyx over y= the equals signx = 5 x equals 5 / x is equal to 5x 6= 5 x (is) not equal to 51x ?y x is equivalent to (or identical with) yx 6?y x is not equivalent to (or identical with) yx > y x is greater than yx >=y x is greater than or equal to yx < y x is less than yx <=y x is less than or equal to y0 < x < 1 zero is less than x is less than 10 ?x ?1 zero is less than or equal to x is less than or equal to 1jxj mod x / modulus xx^2 x squared / x (raised) to the power 2x^3 x cubedx^4 x to the fourth / x to the power fourx^n x to the nth / x to the power nx☆x to the (power) minus npx (square) root x / the square root of x3 px cube root (of) x4 px fourth root (of) xnpx nth root (of) x(x + y)2 x plus y all squared厨y ?x over y all squaredn! n factorial^x x hat锅x bar~x x tildexi xi / x subscript i / x su兵i / x sub in Xi=1ai the sum from i equals one to n ai / the sum as i runs from 1 to n of the ai 4. Linear algebrakxk the norm (or modulus) of x! OA OA / vector OAOA OA / the length of the segment OAAT A transpose / the transpose of AA? A inverse / the inverse of A25. Functionsf(x) fx / f of x / the function f of xf : S ! T a function f from S to Tx 7! y x maps to y / x is sent (or mapped) to yf0(x) f prime x / f dash x / the (?st) derivative of f with respect to xf00(x) f double{prime x / f double{dash x / the second derivative of f withrespect to xf000(x) f triple{prime x / f triple{dash x / the third derivative of f with respectto xf(4)(x) f four x / the fourth derivative of f with respect to x@f@x1the partial (derivative) of f with respect to x1@2f@x21the second partial (derivative) of f with respect to x1Z 1the integral from zero to in?itylimx!0the limit as x approaches zerolimx!+0the limit as x approaches zero from abovelimx!?the limit as x approaches zero from belowloge y log y to the base e / log to the base e of y / natural log (of) yln y log y to the base e / log to the base e of y / natural log (of) yIndividual mathematicians often have their own way of pronouncing mathematical expressions and in many cases there is no generally accepted \correct" pronunciation.Distinctions made in writing are often not made explicit in speech; thus the sounds fx maybe interpreted as any of: fx, f(x), fx, FX, FX, ! FX . The di?rence is usually made clearby the context; it is only when confusion may occur, or where he/she wishes to emphasisethe point, that the mathematician will use the longer forms: f multiplied by x, the functionf of x, f subscript x, line FX, the length of the segment FX, vector FX.Similarly, a mathematician is unlikely to make any distinction in speech (except sometimesa di?rence in intonation or length of pauses) between pairs such as the following: x + (y + z) and (x + y) + zpax + b and pax + ban ?1 and an?。

数学符号的英文表达

数学符号的英文表达exclaim'＝'!''at'＝'@''numbersign'＝'#' 'dollar'＝'$''percent'＝'％''caret'＝'^''ampersand'＝'&' 'asterisk'＝'*''parenleft'＝'(''parenright'＝')' 'minus'＝'-''underscore'＝'_' 'equal'＝'=''plus'＝'+''bracketleft'＝'[' 'braceleft'＝'{''bracketright'＝']' 'braceright'＝'}' 'semicolon'＝';' 'colon'＝':' 'quote'＝''''doublequote'＝'"''backquote'＝''''tilde'＝'~''backslash'＝'\''bar'＝'|''comma'＝',''less'＝'<''period'＝'.''greater'＝'>''slash'＝'/''question'＝'?''space'＝' '．period 句号，comma 逗号：colon 冒号；semicolon 分号！exclamation 惊叹号question mark 问号￣hyphen 连字符'apostrophe 省略号；所有格符号—dash 破折号… ‟single quotation marks 单引号“ ”double quotation marks 双引号( )parentheses 圆括号[ ]square brackets 方括号《》French quotes 法文引号；书名号...ellipsis 省略号¨tandem colon 双点号"ditto 同上‖parallel 双线号／virgule 斜线号＆ampersand = and～swung dash 代字号§section; division 分节号→arrow 箭号；参见号＋plus 加号；正号－minus 减号；负号±plus or minus 正负号×is multiplied by 乘号÷is divided by 除号＝is equal to 等于号≠is not equal to 不等于号≡is equivalent to 恒等于号≌is identical to 全等于号≈is approximately equal to 约等于号＜is less than 小于号＞is more than 大于号≮is not less than 不小于号≯is not more than 不大于号≤is less than or equal to 小于或等于号≥is more than or equal to 大于或等于号％per cent 百分之…‰per mill 千分之…∞infinity 无限大号∝varies as 与…成比例∵since; because 因为∴hence 所以∷equals, as (proportion) 等于，成比例∠angle 角≲semicircle 半圆R radius半径D diameter; caliber直径≰circle 圆○circumference 圆周△triangle 三角形≱perpendicular to 垂直于∪union of 并，合集∩intersection of 交，通集∫the integral of …的积分∑(sigma) summation of 总和°degree 度′minute 分″second 秒＃number …号℃Celsius degree 摄氏度°F fahrenheit degree 华氏度＠at 单价length~长width~宽height~高cylinder~圆柱cone~圆锥pi~圆周率反函数:a inverse function.幂函数:a power function.指数函数:a exponential function.对数函数:a logarithmic function. 三角函数:a trigonometric function.反三角函数:a anti-trigonometric function.复合函数:a compound function.初等函数:a elementary function. 双曲函数:a hyperbolic function.反双曲函数:a anti-hyperbolic function.无穷小:infinitesimal.无穷大:infinity.连续性:continuity.间断点:discontinuous point.介值定理:intermediate value theorem. 导数:derivative. 微分:differential.函数的单调性:monotonicity of function.曲线:curve. 曲线的凹凸性:concavity of curve.曲线的拐点: keen point of curve. 曲率:curvature.不定积分: indefinite integral(indetermin ate integral).定积分: definite integral.广义积分:improper integral.空间解析几何:space analytic geometry.向量代数:vector algebra.空间直角坐标系:space rectangular coordinate system.数量积:scalar product.向量积:vector product.混合积:triple product. 曲面:surface.二次曲面:second-degree surface.一.数学中常用符号=/=: is not equal to>: is greater than <: is less th an//: is parallel to _|_: is perpendi cular to>=: is greater than or equal to (或 n o less than)<=: is less than or equal to (或no more than)二.表达相应数目的前缀1:uni-,mono-2:bi-,du-,di-3:tri-,ter-,4:tetra-,quad-,5:penta-,quint,6:hex-,sex-,7:sept-,hapta-,8:oct,9:enn-,10:dec-,deka-,三.数学中常用单词术语abscissa 横坐标absolute value 绝对值acute angle 锐角adjacent angle 邻角addition 加algebra 代数altitude 高angle bisector 角平分线arc 弧area 面积arithmetic mean 算术平均值（总和除以总数）arithmetic progression 等差数列（等差级数）arm 直角三角形的股at 总计（乘法）average 平均值base 底be contained in 位于...上bisect 平分circumference 圆周长circumscribe 外切，外接clockwise 顺时针方向closest approximation 最相近似的 combination 组合common divisor 公约数，公因子common factor 公因子 complementary angles 余角（二角和为90度）composite number 合数（可被除1及本身以外其它的数整除）concentric circle 同心圆cone 圆锥（体积＝1/3*pi*r*r*h）congruent 全等的consecutive integer 连续的整数 coordinate 坐标的cost 成本counterclockwise 逆时针方向 cube 1.立方数2.立方体（体积＝a*a*a 表面积＝6*a*a）cylinder 圆柱体decagon 十边形decimal 小数decimal point 小数点decreased 减少decrease to 减少到decrease by 减少了degree 角度define 1.定义 2.化简denominator 分母denote 代表，表示depreciation 折旧distance 距离distinct 不同的dividend 1. 被除数 2.红利divided evenly 被除数divisible 可整除的division 1.除 2.部分divisor 除数down payment 预付款，定金 equation 方程equilateral triangle 等边三角形even number 偶数expression 表达exterior angle 外角face （立体图形的）某一面factor 因子fraction 1.分数 2.比例geometric mean 几何平均值（N个数的乘积再开N次方）geometric progression 等比数列（等比级数）have left 剩余height 高hexagon 六边形hypotenuse 斜边improper fraction 假分数 increase 增加increase by 增加了increase to 增加到inscribe 内切，内接intercept 截距integer 整数interest rate 利率in terms of... 用...表达interior angle 内角intersect 相交irrational 无理数isosceles triangle 等腰三角形least common multiple 最小公倍数 least possible value 最小可能的值length 长list price 标价margin 利润mark up 涨价mark down 降价maximum 最大值median, medium 中数（把数字按大小排列，若为奇数项，则中间那项就为中数，若为偶数项，则中间两项的算术平均值为中数。

sci文章数学符号

sci文章数学符号
在SCI发表的论文中，常常使用一些特定的符号来表示数学、物理、化学等领域的概念。

以下是一些科研论文中SCI常用的符号，以及它们的中文解释：
1.数学符号：
–∑（Sigma）：表示求和。

–∫（Integral）：表示积分。

–α、β、γ：表示变量。

–Δ（Delta）：表示差异或变化。

–θ（Theta）：表示角度。

2.物理学符号：
–c：表示光速。

–λ（Lambda）：表示波长。

–E：表示能量。

–h：表示普朗克常数。

–μ：表示磁导率。

3.化学符号：
–H₂O：表示水分子。

–CO₂：表示二氧化碳。

–NaCl：表示氯化钠（食盐）。

–C₆H₁₂O₆：表示葡萄糖。

4.统计学符号：
–μ（Mu）：表示总体均值。

–σ（Sigma）：表示总体标准差。

–X̄（X-bar）：表示样本均值。

–s：表示样本标准差。

5.生物学符号：
–DNA：表示脱氧核糖核酸。

–RNA：表示核糖核酸。

–ATP：表示三磷酸腺苷。

–β：表示生物学中的倍增因子。

6.工程学符号：
–ω（Omega）：表示角速度。

–V：表示电压。

–I：表示电流。

–R：表示电阻。

数学符号英文说法和发音大全(符号英文)

数学符号英文说法和发音大全！！各路出国党不妨看过来！Symbols+ plus /'pl?s/- minus /'ma?n?s/±plus or minus /'pl?s ?: 'ma?n?s/x multiplied by /'m?lt?pla?d ba?// over; divided by /'??v?/ /d?'va?d?d/÷divided /d?'va?d?d/= equals /'?:kw?lz/≈approximately, similar /?'pr?ks?m?tl?/ /'s?m?l? t?/≡equivalent to; identical /?k'w?v?l?nt t?/ /a?'dent?kl t?/≠　not equal to /'n?t 'i?kw?l t?/> greater than /'gre?t? e?n/< less than /'les e?n/≥　greater than or equal to /'gre?t? e?n ?r 'i?kw?l t?/≤　less than or equal to /'les e?n ?r' i?kw?l t?/?not greater than /'n?t 'gre?t? e?n/?not less than /'n?t 'les e?n/?much greater than /'m?? 'gre?t? e?n/?much less than /'m?? 'les e?n/⊥perpendicular to /p??p?n'd?kj?l? t?/∣∣parallel to /'p?r?lel t?/?not equivalent to, not identical to /'n?t ?k'w?v?l?nt t?/ /'n?t a?'dent?kl t? ??not similar to /'n?t 's?m?l? t?/2squared /'skwe?d/3cubed /'kju:bd/4 to the fourth; to the power four /t? e? 'f??θ/ /te e? 'pɑ?? f??/n to the n; to the nth; to the power n /t? e? en; t? d?enθ; t? e? pɑ??r en/√root; square root /ru:t/ /skwe? ru:t/?cube root /kju:b ru:t/?fourth root /f??θ ru?t/! factorial /f?k't??r??l/% percent /p?'sent/∞infinity /?n'f?n?t?/∝varies as; proportional to /'v??r?z/ /pr?'p????n?l/˙dot /d?t/¨double dot /d?bl d?t/: is to, ratio of /re?????/f(x) fx f; function /ef/ /'f??k??n/f'(x) f dash; derivative /d??/ /d?'r?v?t?v/f''x f double-dash; second derivative /'d?bl d??/ /'sek?nd d?'r?v?t?v/f'''(x) f triple-dash; f treble-dash; third derivative /'tr?pl d??/ / trebl d??/ /θ？:d d?'r?v?t?v'r?v?t?v/f(4) f four; fourth derivative /f??θ d??partial derivative, delta /pa???l d?'r?v?t?v/ /delt?/∫integral /'?nt?gr?l/∑sum /s?m/w.r.t. with respect to /w?e 'r?spekt/log log /l?g/log?x log to the base 2 of x /l?g t? e? be?s tu: ?v eks/∴therefore /'e??f??/∵because /b?'k?z/→gives, leads to, approaches /g?vz/ /li:dz t?/ /?pr????z// per /p?:/∈belongs to; a member of; an element of /b?'l??z/ /'memb?/ /'el?m?nt/?does not belong to; is not a member of; is not an element of /n?t b?'l??/ /n?t ? 'memb?/ /n?t ?n 'e ?contained in; a proper subset of /k?n'te?nd ?n/ /'pr?p? 's?bset/?contained in; subset /'s?bset/?intersection /'?nt?sek??n/?union /'ju?n??n/?for all /f? r?:l/cos x cos x; cosine x /k?z/sin x sine x /sa?n/tan x tangent x /tan/cosec x cosec x /'k??sek/sinh x shine x /'?a?n/cosh x cosh x /'k??/tanh x than x /θ?n/|x| mod x; modulus x /m?d/ /'m?dj?l?s/℃degrees Centigrade /d?'gri:z 'sent?gre?d/℉degrees Fahrenheit /d?'gri:z 'f?r?nha?t/°K degrees Kelvin /d?'gri:z 'kelv?n/C absolute zero /abs?lu:t zi:r??/0°K, –273.15 °mm millimetre /'m?l?mi?t?/cm centimetre /'sent?mi?t?/cc, cm3cubic centimetre, centimetre cubed /'kju?b?k 'sent?mi?t?/ /'sent?mi?t? 'kju: m metre /'mi?t?/km kilometre /k?'l?m?t?/mg milligram /'m?l?gr?m/g gram /gr?m/kg kilogram /'k?l?gr?m/AC A.C. /e? si:/DC D.C. /di: si:/Examplesx + 1 x plus onex -1 x minus onex ± 1 x plus or minus onexy x y; x times y; x multiplied by y(x — y)(x + y) x minus y, x plus yx/y x over y; x divided by y;x ÷ y x divided by yx = 5 x equals 5; x is equal to 5x ≈ y x is approximately equal to yx ≡ y x is equivalent to y; x is identical with yx ≠ y x is not equal to yx > y x is greater than yx < y x is less than yx ≥ y x is greater than or equal to yx ≤ y x is less than or equal to y0 < x < 1 zero is less than x is less than 1; x is greater than zero and less than 10 ≤ x ≤ 1zero is less than or equal to x is less than or equal to 1; x is greater than or equal to zero and less than or equal to 1x2x squaredx3x cubedx4 x to the fourth; x to the power fourxn x to the n; x to the nth; x to the power nx-n x to the minus n; x to the power of minus n√root x; square root x; the square root of x?the cube root of x?the fourth root of xthe nth root of x(x + y)2x plus y all squared(x/y)2x over y all squaredn! n factorial; factorial nx% x percent∞infinityx ∝y x varies as y; x is (directly) proportional to yx ∝1/y x varies as one over y; x is indirectly proportional to y?x dot?x double dotf(x) fx f of x; the function of xf'(x) f dash x; the (first) derivative of with respect to xf''x f double-dash x; the second derivative of f with respect to xf'''(x) f triple-dash x; f treble-dash x; the third derivative of f with respect to xf(4) f four x; the fourth derivative of f with respect to x?v the partial derivative of v?v?θdelta v by delta theta, the partial derivative of v with respect to θ?2v?θ２delta two v by delta theta squared; the second partial derivative of v with respect to dv the derivative of vdvdθ d v by d theta, the derivative of v with respect to thetad2vdθ２ d 2 v by d theta squared, the second derivative of v with respect to theta,∫integralintegral from zero to infinity∑sumthe sum from i equals 1 to nw.r.t. with respect tologey log to the base e of y; log y to the base e; natural log (of) y∴therefore∵because→gives, approachesΔx → 0delta x approaches zerolimΔx→０the limit as delta x approaches zero, the limit as delta x tends to zeroLtΔx→０the limit as delta x approaches zero, the limit as delta x tends to zerom/sec metres per secondx ∈ A x belongs to A; x is a member of A; x is an element of Ax? A x does not belong to A; x is not a member of A; x is not an element of AA? B A is contained in B; A is a proper subset of BA ?B A is contained in B; A is a subset of BA ?B A intersection BA ?B A union Bcos x cos x; cosine xsin x sine xtan x tangent x, tan xcosec x cosec xsinh x shine xcosh x cosh xtanh x than x|x| mod x; modulus x18 ℃eighteen degrees Centigrade70 ℉seventy degrees FahrenheitGreek alphabetΑαalpha /'?lf?/Ββbeta /'bi:t?/Γγgamma /'g?m?/Δδdelta /'delt?/Εεepsilon /'epsil?n/Ζζzeta /'zi?t?/Ηηeta /'i?t?//Θθtheta /'θi?t?Ιιiota /a?'??t?/Κκkappa /'k?p?/Λλlamda /'l?md?/Μμmu /'mju?/Ννnu /'nju?/Ξξxi /'ksa?/Οοomicron /'??m?kr?n/ Ππpi /'pa?/Ρρ？rho /'r??/Σσsigma /'s?gm?/Ττtau /'tɑ?/Υυupsilon /'j?ps?l?n/ Φφphi /'fa?/Χχchi /'ka?/Ψψ psi /'psa?/Ωω omega /'??m?g?/ ^Roman alphabetA a /'e?/B b /'bi?/C c /'si?/D d /'di?/E e /'i?/F f /'ef/G g /'?i?/H h /'e??/I i /'a?/J j /'?e?/K k /'ke?/L l /'el/M m /'em/N n /'en/O o /'??/P p /'pi?/Q q /'kju?/R r /'ɑ?/S s /'es/T t /'ti:/U u /'ju:/V v /'vi:/W w /'d?blju?/X x /'eks/Y y /'wa?/Z z /'zed/^Fractions? a half /? 'hɑ:f/? a quarter /? 'kw??t?/z/? three quarters /θri? 'kw??t?:d/? a third /?'θ？:dz/? two thirds /tu: 'θ？?a fifth /? 'f?fθ／?t wo fifths /tu: 'f?fθs/?t hree fifths /θri? 'f?fθs/?f our fifths /f?? 'f?fθs/?a sixth /? 's?ksθ／?f ive sixths /fa?v 's?ksθs/? an eighth /?n 'e?tθ／? three eighths /θri? 'e?tθs/? five eighths /fa?v 'e?tθs/? seven eighths /sev?n 'e?tθs/^Decimal Fractions0.1 nought point one /n?:t p??nt w?n/0.01 nought point oh one /n?:t p??nt ?? w?n/0.0001 nought point oh oh oh one /ten p??nt ?????? w?n/1.1 one point one /w?n p??nt w?n/1.2 one point two /w?n p??nt tu:/1.23 one point two three /w?n p??nt tu: θri:/1.0123 one point oh one two three /w?n p??nt ?? w?n tu: θri:/10.01 ten point oh one /ten p??nt ?? w?n/21.57 twenty-one point five seven /'twent? w?n p??nt fa?v 'sev?n/2.6666666666.... two point six recurring /tu: p??nt s?ks r?'k?:r??/'k?:r??/ 2.612361236123... two point six one two three recurring /tu: p??nt s?ks w?n tu: θri: r? 2.5 million two point five million /tu: p??nt fa?v 'm?lj?n/^SI Units: Prefixes10-24 yocto y /'j?kt??/10-21 zepto z /'zept??/10-18 atto a /'at??/10-15 femto f /'femt??/10-12 pico p /'pi:k??/10-9 nano n /'nan??/10-6 micro μ/'ma?kr??/10-3 milli m /'m?l?/10-2 centi c /'sent?/10-1 deci d /'des?/103 kilo k /'k?l??/106 mega M /'meg?/109 giga G /'g?g?/1012 tera T /'ter?/1015 peta P /'pet?/1018 exa E /'eks?/1021 zetta Z /'zet?/1024 yotta Y /'j?t?/1027 xona X /'z??n?/1030 weka W /'wek?/1033 vunda V /'v?nd?/^Cardinal Numbers1 one /w?n/2 two /tu:/3 three /θri:/4 four /f??/5 five /fa?v/6 six /s?ks/7 seven /'sev?n/8 eight /e?t/9 nine /na?n/10 ten /ten/11 eleven /?'lev?n/12 twelve /twelv/:'ti:n/13 thirteen /θ？14 fourteen /f??'ti:n/15 fifteen /f?f'ti:n/16 sixteen /s?kst'i:n/17 seventeen /seven'ti:n/18 eighteen /e?'ti:n/19 nineteen /na?n'ti:n/20 twenty /'twent?/21 twenty-one /twent?'w?n/22 twenty-two /twent?'tu:/23 twenty-three /twent?'θri:/24 twenty-four /twent?'f??/25 twenty-five /twent?'fa?v/26 twenty-six /twent?'s?ks/27 twenty-seven /twent?'sev?n/28 twenty-eight /twent?'e?t/29 twenty-nine /twent?'na?n/:t?/30 thirty /'θ？40 forty /'f??t?/50 fifty /'f?ft?/60 sixty /'s?kst?/70 seventy /'sev?nt?/80 eighty /'e?t?/90 ninety /'na?nt?/100 a hundred; one hundred /? 'h?ndr?d/ /w 101 a hundred and one /? 'h?ndr?d ?n 102 a hundred and two /? 'h?ndr?d ?n 110 a hundred and ten /? 'h?ndr?d ?n 120 a hundred and twenty /? 'h?ndr?d ?n 200 two hundred /tu: 'h?ndr?d/ 300 three hundred /θri: 'h?ndr?d 400 four hundred /f?? 'h?ndr?d/ 500 five hundred /fa?v 'h?ndr?d/ 600 six hundred /s?ks 'h?ndr?d/ 700 seven hundred /'sev?n 'h?ndr? 800 eight hundred /e?t 'h?ndr?d/ 900 nine hundred /na?n 'h?ndr?d/ 1 000 a thousand, one thousand /?θ'ɑ?z?nd 1 001 a thousand and one /?'θɑ?z?nd 1 010 a thousand and ten /?'θɑ?z?nd 1 020 a thousand and twenty /?'θɑ?z?nd 1 100 one thousand, one hunded /w?n 'θɑ?z 1 101 one thousand, one hundred and one /w?n 'θɑ?z 1 110 one thousand, one hundred and ten /w?n 'θɑ?z9 999 nine thousand, nine hundred and ninety-nine /na?n 'θɑ?10 000 ten thousand /ten 'θɑ?15 356 fifteen thousand, three hundred and fifty six /'f?fti:n 'θ100 000 a hundred thousand /? 'h?ndr?d 'θ1 000 000 a million /? 'm?lj?n/100 000 000 a hundred million /? 'h?ndr?d 'm?1 000 000 000 a billion /? 'b?lj?n/100 000 000 000 a hundred billion /? 'h?ndr?d 'b?l 1 000 000 000 000 a trillion /? 'tr?lj?n/1 000 000 000 000 000 a quadrillion /? kw?dr?lj?n/ 1 000 000 000 000 000 000 a quintillian /? kw?n't?lj?n/ 1 000 000 000 000 000 000 000 a sextillion /? seks't?lj?n/1 000 000 000 000 000 000 000 000 a septillion /? sep't?lj?n/1 000 000 000 000 000 000 000 000 000 an ocillion /?n ?kt't?lj?n/1 000 000 000 000 000 000 000 000 000 000 a nonillion /? n?n'?lj?n/1 000 000 000 000 000 000 000 000 000 000 000 a decillion /? de's?lj?n/^Ordinal Numbers1st first /f?:st/2nd second /'sek?nd/:d/3rd third /θ？4th fourth /f?:θ／5th fifth /f?fθ／6th sixth /s?ksθ／7th seventh /'sev?nθ／8th eighth /e?tθ／9th ninth /na?nθ／10th tenth /tenθ／11th eleventh /?'lev?nθ／12th twelfth /'twelfθ／:'ti:nθ／13th thirteenth /θ？14th fourtheenth /f??'ti:nθ／15th fidteenth /f?f'ti:nθ/16th sixteenth /s?ks'ti:nθ／17th seventeenth /seven'ti:nθ／18th eighteenth /e?'ti:nθ／19th nineteenth /na?n'ti:nθ／20th twentieth /'twent??θ／21st twenty-first /twent?'f?:st/22nd twenty-second /twent?'sek?nd/:d/23rd twenty-third /twent?'θ？24th twenty-fourth /twent?'f?:θ／25th twenty-fifth /twent?'f?fθ／26th twenty-sixth /twent?'s?ksθ／27th twenty-seventh /twent?'sev?nθ／28th twenty-eighth /twent?'e?tθ／29th twenty-ninth /twent?'na?nθ／30th thirtieth /'θ??t??θ／'f?:st/31st thirty-first /θ??t?40th fortieth /'f?:t??θ／50th fiftieth /'f?ft??θ／100th hundredth /'h?ndr?dθ／1 000th thousandth /'θɑ?z?ndθ／1 000 000th millionth /'m?lj?nθ／。

英文标点符号及数学符号翻译大全

英文标点符号及数学符号翻译大全+plus加号；正号-minus减号；负号±plus or minus正负号×is multiplied by乘号÷is divided by除号＝is equal to等于号≠is not equal to不等于号≡is equivalent to全等于号≌is equal to or approximately equal to等于或约等于号≈is approximately equal to约等于号＜is less than小于号＞is more than大于号≮is not less than不小于号≯is not more than不大于号≤is less than or equal to小于或等于号≥is more than or equal to大于或等于号%per cent百分之…‰per mill千分之…∞infinity无限大号∝varies as与…成比例√(square) root平方根∵since; because因为∴hence所以∷equals, as (proportion)等于，成比例∠angle角⌒semicircle半圆⊙circle圆○circumference圆周πpi 圆周率△triangle三角形⊥perpendicular to垂直于∪union of并，合集∩intersection of 交，通集∫the integral of …的积分∑(sigma) summation of总和°degree度′minute分″second秒℃Celsius system摄氏度{open brace, open curly左花括号}close brace, close curly右花括号(open parenthesis, open paren左圆括号)close parenthesis, close paren右圆括号() brakets/ parentheses括号[open bracket 左方括号]close bracket 右方括号[] square brackets方括号.period, dot句号，点|vertical bar, vertical virgule竖线&ampersand, and, reference, ref和，引用*asterisk, multiply, star, pointer星号，乘号，星，指针/slash, divide, oblique 斜线，斜杠，除号//slash-slash, comment 双斜线，注释符#pound井号\backslash, sometimes escape反斜线转义符，有时表示转义符或续行符~tilde波浪符.full stop句号,comma逗号:colon冒号;semicolon分号?question mark问号!exclamation mark (英式英语) exclamation point (美式英语)'apostrophe撇号-hyphen连字号-- dash 破折号...dots/ ellipsis省略号"single quotation marks 单引号""double quotation marks 双引号‖parallel 双线号&ampersand = and～swung dash 代字号§section; division 分节。

数学符号中英文对比表[新版]

几何符号∻‖ⅶ∼∺∵∳△2 代数符号ⅴ∧∨～∫∴∶∷∲ⅵ∯3运算符号×÷ⅳ±4集合符号∪∩ⅰ5特殊符号ⅲπ（圆周率）6推理符号|a| ∻∱△ⅶ∩∪∴∵±∷∶ⅰⅬⅭⅮⅯ↖↗↘↙‖∧∨&; §∽∾∿≀≁≂≃≄≅≆ΓΔΘ∧ΞΟⅱⅲΦΧΨΩα β γ δ ε δ ε ζ η θ ι κ λμ ν π ξ ζ η υ θ χ ψ ωⅠⅡⅢⅣⅤⅥⅦⅧⅨⅩⅪⅫⅰⅱⅲⅳⅴⅵⅶⅷⅸⅹⅰⅱⅲ↚ⅳⅴⅵ↛ⅶ↜‖∧∨∩∪∫∬∭∮∯∰∱∲∳∲∴∵∶∷∶∷∸∹⊕∺∻⊿∼℃上述符号所表示的意义和读法（中英文参照）＋plus 加号；正号－minus 减号；负号±plus or minus 正负号×is multiplied by 乘号÷is divided by 除号＝is equal to 等于号∴is not equal to 不等于号∵is equivalent to 全等于号∳is approximately equal to 约等于∲is approximately equal to 约等于号＜is less than 小于号＞is more than 大于号∶is less than or equal to 小于或等于∷is more than or equal to 大于或等于％per cent 百分之…ⅵinfinity 无限大号ⅳ(square) root 平方根X squared X的平方X cubed X的立方∮since; because 因为∭hence 所以ⅶangle 角∼semicircle 半圆∺circle 圆○circumference 圆周△triangle 三角形∻perpendicular to 垂直于∪intersection of 并，合集∩union of 交，通集∫the integral of …的积分ⅲ(sigma) summation of 总和°degree 度′minute 分〃second 秒＃number …号。

数学名词中英文对照表

Aabbreviation 简写符号；简写absolute error 绝对误差absolute value 绝对值accuracy 准确度acute angle 锐角acute-angled triangle 锐角三角形add 加addition 加法addition formula 加法公式addition law 加法定律addition law(of probability)（概率）加法定律additive property 可加性adjacent angle 邻角adjacent side 邻边algebra 代数algebraic 代数的algebraic equation 代数方程algebraic expression 代数式algebraic fraction 代数分式；代数分数式algebraic inequality 代数不等式algebraic operation 代数运算alternate angle （交）错角alternate segment 交错弓形altitude 高；高度；顶垂线；高线ambiguous case 两义情况；二义情况amount 本利和；总数analysis 分析；解析analytic geometry 解析几何angle 角angle at the centre 圆心角angle at the circumference 圆周角angle between a line and a plane 直与平面的交角angle between two planes 两平面的交角angle bisection 角平分angle bisector 角平分线；分角线angle in the alternate segment 交错弓形的圆周角angle in the same segment 同弓形内的圆周角angle of depression 俯角angle of elevation 仰角angle of greatest slope 最大斜率的角angle of inclination 倾斜角angle of intersection 相交角；交角angle of rotation 旋转角angle of the sector 扇形角angle sum of a triangle 三角形内角和angles at a point 同顶角annum(X% per annum) 年（年利率X%）anti-clockwise direction 逆时针方向；返时针方向anti-logarithm 逆对数；反对数anti-symmetric 反对称apex 顶点approach 接近；趋近approximate value 近似值approximation 近似；略计；逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积arithmetic 算术arithmetic mean 算术平均；等差中顶；算术中顶arithmetic progression 算术级数；等差级数arithmetic sequence 等差序列arithmetic series 等差级数arm 边arrow 前号ascending order 递升序ascending powers of X X 的升幂associative law 结合律assumed mean 假定平均数assumption 假定；假设average 平均；平均数；平均值average speed 平均速率axiom 公理axis 轴axis of parabola 拋物线的轴axis of symmetry 对称轴Bback substitution 回代bar chart 棒形图；条线图；条形图；线条图base （1）底；（2）基；基数base angle 底角base area 底面base line 底线base number 底数；基数base of logarithm 对数的底bearing 方位（角）；角方向（角）bell-shaped curve 钟形图bias 偏差；偏倚billion 十亿binary number 二进数binary operation 二元运算binary scale 二进法binary system 二进制binomial 二项式binomial expression 二项式bisect 平分；等分bisection method 分半法；分半方法bisector 等分线；平分线boundary condition 边界条件boundary line 界（线）；边界bounded 有界的bounded above 有上界的；上有界的bounded below 有下界的；下有界的bounded function 有界函数brace 大括号bracket 括号breadth 阔度broken line graph 折线图Ccalculation 计算calculator 计算器；计算器cancel 消法；相消canellation law 消去律capacity 容量Cartesian coordinates 笛卡儿坐标Cartesian plane 笛卡儿平面category 类型；范畴central line 中线central tendency 集中趋centre 中心；心centre of a circle 圆心centroid 形心；距心certain event 必然事件chance 机会change of base 基的变换change of subject 主项变换change of variable 换元；变量的换chart 图；图表checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形；圆的circular function 圆函数；三角函数circular measure 弧度法circumcentre 外心；外接圆心circumcircle 外接圆circumference 圆周circumradius 外接圆半径circumscribed circle 外接圆class 区；组；类class boundary 组界class interval 组区间；组距class limit 组限；区限class mark 组中点；区中点classification 分类clnometer 测斜仪clockwise dirction 顺时针方向closed convex region 闭凸区域closed interval 闭区间coefficient 系数coincide 迭合；重合collection of terms 并项collinear 共线collinear planes 共线面column (1)列；纵行；(2) 柱combination 组合common chord 公弦common denominator 同分母；公分母common difference 公差common divisor 公约数；公约common factor 公因子；公因子common logarithm 常用对数common multiple 公位数；公倍common ratio 公比common tangetn 公切commutative law 交换律comparable 可比较的compass 罗盘compass bearing 罗盘方位角compasses 圆规compasses construction 圆规作图complement 余；补余complementary angle 余角complementary event 互补事件complementary probability 互补概率completing the square 配方complex number 复数complex root 复数根composite number 复合数；合成数compound bar chart 综合棒形图compound discount 复折扣compound interest 复利；复利息computation 计算computer 计算机；电子计算器concave 凹concave downward 凹向下的Ddata 数据decagon 十边形decay 衰变decay factor 衰变因子decimal 小数decimal place 小数位decimal point 小数点decimal system 十进制decrease 递减decreasing function 递减函数；下降函数decreasing sequence 递减序列；下降序列decreasing series 递减级数；下降级数decrement 减量deduce 演绎deduction 推论deductive reasoning 演绎推理definite 确定的；定的distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distrivutive law 分配律divide 除dividend (1)被除数；(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数；除式；因子divisor of zero 零因子dodecagon 十二边形dot 点double root 二重根due east/ south/ west /north 向东/ 南/ 西/ 北definiton 定义degree (1)度；(2)次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of precision 精确度delete 删除；删去denary number 十进数denary scale 十进法denary system 十进制denominator 分母dependence (1)相关；(2)应变dependent event(s) 相关事件；相依事件；从属事件dependent variable 应变量；应变数depreciation 折旧descending order 递降序descending powers of X X的降序detached coefficients 分离系数(法) deviation 偏差；变差deviation from the mean 离均差diagonal 对角diagram 图；图表diameter 直径difference 差digit 数字dimension 量；量网；维(数)direct proportion 正比例direct tax, direct taxation 直接税direct variation 正变（分）directed angle 有向角directed number 有向数direction 方向；方位discontinuous 间断(的)；非连续(的)；不连续(的)discount 折扣discount per cent 折扣百分率discrete 分立；离散discrete data 离散数据；间断数据discriminant 判别式dispersion 离差displacement 位移disprove 反证Eedge 棱；边elimination 消法elimination method 消去法；消元法elongation 伸张；展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率；经验概率enclosure 界限end point 端点entire surd 整方根equal 相等equal ratios theorem 等比定理equal roots 等根equality 等(式)equality sign 等号equation 方程equation in one unknown 一元方程equation in two unknowns (variables) 二元方程equation of a straight line 直线方程equation of locus 轨迹方程equiangular 等角(的)extreme value 极值equidistant 等距(的)equilaeral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三角形equivalent 等价(的)error 误差escribed circle 旁切圆estimate 估计；估计量Euler's formula 尤拉公式；欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact solution 准确解；精确解；真确解exact value 法确解；精确解；真确解example 例excentre 外心exception 例外excess 起exclusive 不包含exclusive events 互斥事件exercise 练习expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值；预期值experiment 实验；试验experimental 试验的experimental probability 实验概率exponent 指数express…in terms of….. 以………表达expression 式；数式extension 外延；延长；扩张；扩充exterior angle 外角external angle bisector 外分角external point of division 外分点extreme point 极值点Fface 面factor 因子；因式；商factor method 因式分解法factor theorem 因子定理；因式定理factorial 阶乘factorization 因子分解；因式分解factorization of polynomial 多项式因式分解FALSE 假(的)feasible solution 可行解；容许解Fermat’s last theorem 费尔马最后定理Fibonacci number 斐波那契数；黄金分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形)；(2)数字finite 有限finite population 有限总体finite sequence 有限序列finite series 有限级数first quartile 第一四分位数first term 首项fixed deposit 定期存款fixed point 定点flow chart 流程图foot of perpendicular 垂足for all X 对所有Xfor each /every X 对每一Xform 形式；型formal proof 形式化的证明format 格式；规格formula(formulae) 公式four rules 四则four-figure table 四位数表fourth root 四次方根fraction 分数；分式fraction in lowest term 最简分数fractional equation 分式方程fractional index 分数指数fractional inequality 分式不等式free fall 自由下坠frequency 频数；频率frequency distribution 频数分布；频率分布frequency distribution table 频数分布表frequency polygon 频数多边形；频率多边形frustum 平截头体function 函数function of function 复合函数；迭函数functional notation 函数记号Ggain 增益；赚；盈利gain per cent 赚率；增益率；盈利百分率game （1）对策；（2）博奕general form 一般式；通式general solution 通解；一般解general term 通项geoborad 几何板geometric mean 几何平均数；等比中项geometric progression 几何级数；等比级数geometric sequence 等比序列geometric series 等比级数geometry 几何；几何学given 给定；已知golden section 黄金分割grade 等级gradient (1)斜率；倾斜率；(2)梯度grand total 总计graph 图像；图形；图表graph paper 图表纸graphical method 图解法graphical representation 图示；以图样表达graphical solution 图解greatest term 最大项greatest value 最大值grid lines 网网格线group 组；grouped data 分组数据；分类数据grouping terms 并项；集项growth 增长growth factor 增长因子Hhalf closed interval 半闭区间half open interval 半开区间head 正面（钱币）height 高（度）hemisphere 半球体；半球heptagon 七边形Heron's formula 希罗公式hexagon 六边形higher order derivative 高阶导数highest common factor(H.C.F) 最大公因子；最高公因式；最高公因子Hindu-Arabic numeral 阿刺伯数字histogram 组织图；直方图；矩形图horizontal水平的；水平horizontal line 横线；水平线hyperbola 双曲线hypotenuse 斜边Iidentical 全等；恒等identity 等（式）identity relation 恒等关系式if and only if/iff 当且仅当；若且仅若if…., then 若….则；如果…..则illustration 例证；说明image 像点；像imaginary circle 虚圆imaginary number 虚数imaginary root 虚根implication 蕴涵式；蕴含式imply 蕴涵；蕴含impossible event 不可能事件improper fraction 假分数inclination 倾角；斜角inclined plane 斜面included angle 夹角included side 夹边inclusive 包含的；可兼的inconsistent 不相的(的)；不一致(的) increase 递增；增加increasing function 递增函数interior angles on the same side of the transversal 同旁内角interior opposite angle 内对角internal bisector 内分角internal division 内分割internal point of division 内分点inter-quartile range 四分位数间距intersect 相交intersection (1)交集；(2)相交；(3)交点interval 区间intuition 直观invariance 不变性invariant (1)不变的；(2)不变量；不变式inverse 反的；逆的inverse circular function 反三角函数inverse cosine function 反余弦函数inverse function 反函数；逆函数inverse problem 逆算问题inverse proportion 反比例；逆比例inverse sine function 反正弦函数inverse tangent function 反正切函数inverse variation 反变(分)；逆变(分) irrational equation 无理方程irrational number 无理数irreducibility 不可约性irregular 不规则isosceles triangle 等腰三角形increasing sequence 递增序列increasing series 递增级数increment 增量independence 独立；自变independent event 独立事件independent variable 自变量；独立变量indeterminate (1)不定的；(2)不定元；未定元indeterminate coefficient 不定系数；未定系数indeterminate form 待定型；不定型index,indices 指数；指index notation 指数记数法inequality 不等式；不等inequality sign 不等号infinite 无限；无穷infinite population 无限总体infinite sequence 无限序列；无穷序列infinite series 无限级数；无穷级数infinitely many 无穷多infinitesimal 无限小；无穷小infinity 无限(大)；无穷(大)initial point 始点；起点initial side 始边initial value 初值；始值input 输入input box 输入inscribed circle 内切圆insertion 插入insertion of brackets 加括号instantaneous 瞬时的integer 整数integral index 整数指数integral solution 整数解integral value 整数值intercept 截距；截段intercept form 截距式intercept theorem 截线定理interchange 互换interest 利息interest rate 利率interest tax 利息税interior angle 内角Jjoint variation 联变(分)；连变(分)Kknown 己知LL.H.S. 末项law 律；定律law of indices 指数律；指数定律law of trichotomy 三分律leading coefficient 首项系数least common multiple, lowest common multiple (L.C.M) 最小公倍数；最低公倍式least value 最小值lemma 引理length 长(度)letter 文字；字母like surd 同类根式like terms 同类项limit 极限line 线；行line of best-fit 最佳拟合line of greatest slope 最大斜率的直；最大斜率line of intersection 交线line segment 线段linear 线性；一次linear equation 线性方程；一次方程linear equation in two unknowns 二元一次方程；二元线性方程linear inequality 一次不等式；线性不等式linear programming 线性规划literal coefficient 文字系数literal equation 文字方程load 负荷loaded coin 不公正钱币loaded die 不公正骰子locus, loci 轨迹logarithm 对数logarithmic equation 对数方程logarithmic function 对数函数logic 逻辑logical deduction 逻辑推论；逻辑推理logical step 逻辑步骤long division method 长除法loss 赔本；亏蚀loss per cent 赔率；亏蚀百分率lower bound 下界lower limit 下限lower quartile 下四分位数lowest common multiple(L.C.M) 最小公倍数Mmagnitude 量；数量；长度；大小major arc 优弧；大弧major axis 长轴major sector 优扇形；大扇形major segment 优弓形；大弓形mantissa 尾数mantissa of logarithm 对数的尾数；对数的定值部many-sided figure 多边形marked price 标价mathematical induction 数学归纳法mathematical sentence 数句mathematics 数学maximize 极大maximum absolute error 最大绝对误差maximum point 极大点maximum value 极大值mean 平均(值)；平均数；中数mean deviation 中均差；平均偏差measure of dispersion 离差的量度measurement 量度median (1)中位数；(2)中线meet 相交；相遇mensuration 计量；求积法method 方法method of completing square 配方法method of substitution 代换法；换元法metric unit 十进制单位mid-point 中点mid-point formula 中点公式mid-point theorem 中点定理million 百万minimize 极小minimum point 极小点minimum value 极小值minor (1)子行列式；(2)劣；较小的minor arc 劣弧；小弧minor axis 短轴minor sector 劣扇形；小扇形minor segment 劣弓形；小弓形minus 减minute 分mixed number(fraction) 带分数modal class 众数组mode 众数model 模型monomial 单项式multinomial 多项式multiple 倍数multiple root 多重根multiplicand 被乘数multiplication 乘法multiplication law (of probability) (概率)乘法定律multiplicative property 可乘性multiplier 乘数；乘式multiply 乘mutually exclusive events 互斥事件mutually independent 独立; 互相独立mutually perpendicular lines 互相垂直Nn factorial n阶乘n th root n次根；n次方根natural number 自然数negative 负negative angle 负角negative index 负指数negative integer 负整数negative number 负数neighborhood 邻域net 净(值)n-gon n边形nonagon 九边形non-collinear 不共线non-linear 非线性non-linear equation 非线性方程non-negative 非负的non-trivial 非平凡的non-zero 非零normal (1)垂直的；正交的；法线的 (2)正态的 (3)正常的；正规的normal curve 正态分记伲怀１分记伲徽媲伲徽忧?normal distribution 正态分布，常态分布normal form 法线式notation 记法；记号number 数number line 数线number pair 数偶number pattern 数型number plane 数平面number system 数系numeral 数字；数码numeral system 记数系统numerator 分子numerical 数值的；数字的numerical expression 数字式numerical method 计算方法；数值法Ooblique 斜的oblique cone 斜圆锥oblique triangle 斜三角形obtuse angle 钝角obtuse-angled triangle 钝角三角形octagon 八边形octahedron 八面体odd function 奇函数odd number 奇数one-one correspondence 一一对应open interval 开区间open sentence 开句operation 运算opposite angle 对角opposite interior angle 内对角opposite side 对边optimal solution 最优解order (1)序；次序；(2)阶；级ordered pair 序偶origin 原点outcome 结果output 输出overlap 交迭；相交Pparabola 拋物线parallel 平行(的)parallel lines 平行(直线) parallelogram 平行四边形parameter 参数；参变量partial fraction 部分分数；分项分式polar coordinate system 极坐标系统polar coordinates 极坐标pole 极polygon 多边形polyhedron 多面体polynomial 多项式polynomial equation 多项式方程positive 正positive index 正指数positive integer 正整数positive number 正数power (1)幂；乘方；(2)功率；(3)检定力precise 精密precision 精确度prime 素prime factor 质因子；质因素prime number 素数；质数primitive (1)本原的；原始的；(2)原函数principal (1)主要的；(2)本金prism 梭柱(体)；角柱(体)prismoid 平截防庾短?probability 概率problem 应用题可编辑produce 延长product 乘积；积product rule 积法则profit 盈利profit per cent 盈利百分率profits tax 利得税progression 级数proof 证(题)；证明proper fraction 真分数property 性质property tax 物业税proportion 比例proportional 成比例protractor 量角器pyramid 棱锥(体)；角锥(体)Pythagoras’ Theorem 勾股定理Pythagorean triplet 毕氏三元数组partial sum 部分和partial variation 部分变(分) particular solution 特解Pascal’s triangle 帕斯卡斯三角形pattern 模型；规律pegboard 有孔版pentadecagon 十五边形pentagon 五边形per cent 百分率percentage 百分法；百分数percentage decrease 百分减少percentage error 百分误差percentage increase 百分增加percentile 百分位数perfect number 完全数perfecr square 完全平方perimeter 周长；周界period 周期periodic function 周期函数permutation 排列perpendicular 垂线；垂直(于) perpendicular bisector 垂直平分线；中垂线perpendicular line 垂直线pictogram 象形图pie chart 饼图；圆瓣图pinboard 钉板place holder 补位数字place value 位值plan (1)平面图；(2)计划plane 平面plane figure 平面图形plot 绘图plus 加point 点point circle 点圆point of contact 切点point of division 分点point of intersection 交点point-slope form 点斜式polar axis 极轴polar coordinate plane 极坐标平面polar coordinate 极坐标系统Q quadrant 象限quadratic equation 二次方程(式) quadratic formula 二次公式quardratic function 二次函数quadratic inequality 二次不等式quadratic polynomial 四边形quantity 数量quartile 四分位数quotient 商；商式RR.H.S 右radian 弧度radian measure 弧度法radical 根式；根号；根数radius, radii 半径random 随机random experiment 随机试验random number 随机数range 值域；区域；范围；极差；分布域rate 率；利率ratio 比 ; 比率rational expression 有理式；有理数式rational function 有理函数rational index 有理数指数rational number 有理数rationalization 有理化raw data 原始数据raw score 原始分（数）real axis 实轴real number 实数real root 实根reason 理由reciprocal 倒数rectangle 长方形；矩形rectangular block 长方体rectangular coordinate plane 直角坐标平面rectangular coordinates 直角坐rectilinear figure 直线图形recurrent 循环的recurring decimal 循环小数reduce 简化reducible 可约的；可化简的reference angle 参考角reflex angle 优角；反角region 区域regular 正；规则regular polygon 正多边形reject 舍去；否定relation 关系；关系式relative error 相对误差remainder 余数；余式；剩余remainder term 余项remainder theorem 余式定理removal of brackets 撤括号；去括号repeated trials 重复试验resolve 分解revolution 旋转；周转rhombus 菱形right angle 直角right circular cone 直立圆锥（体）right circular cylinder 直立圆柱（体）right prism 直立棱柱；直立角柱(体) right pyramid 直立棱锥；直立角锥(体) right-angled triangle 直角二角形root 根rotation 旋转round angle 周角rounded number 舍数rounding(off) 舍入；四舍五入row 行；棋行rule 规则；法(则)ruler 直尺Ssalaries tax 俸税sample 抽样；样本sample space 样本空间satisfy 满足；适合scale 比例尺；标度；图尺scalene triangle 不等边三角形；不规则三角形scientific notation 科学记数法solution of triangle 三角形解法solve 解special angle 特殊角；特别角speed 速率sphere 球形；球面square (1)平方；(2)正方形square bracket 方括号square number 正方形数；平方数square root 平方根；二次根standard deviation 标准差；标准偏离secant 割second 秒second quartile 第二四分位数(1)截面；截线；(2)截点section (1)截面；截线；(2)截点section formula 截点公式sector 扇式segment 段；节segment of a circle 弓形selling price 售价semi-circle 半圆semi-vertical angle 半顶角sentence 句；语句sequence 序列series 级数set square 三角尺；三角板shaded portion 有阴影部分shape 形状side 边；侧sign 符号；记号signed number 有符号数significant figure 有效数字similar 相似similar figures 相似图形similar triangles 相似三角形similarity 相似(性)simple equation 简易方程simple interest 单利；单利息simplify 简化simultaneous equations 联立方程simultaneous inequalities 联立不等式simultaneous linear equations in two unknowns 联合二次线性方程式sine 正弦sine formula 正弦公式slant edge 斜棱slant height 斜高slope 斜率；斜度；倾斜；坡度slope-intercept form 斜率截距式；斜截式solid 立体；固体soild with uniform corss-section 有均匀横切面的立体solution 解；解法solution of equation 方程解Uuniform 一致(的)；均匀(的)uniform cross-section 均匀横切面uniform speed 匀速率uniformly distributed 均匀分布unique solution 唯一解uniqueness 唯一性unit 单位unit area 单位面积unit circle 单位圆unit volume 单位体积unknown 未知数；未知量unlike 异类项upper bound 上界upper limit 上限upper quartile 上四分位数Vvalue 值variable 变项；变量；元；变元；变数variable speed 可变速率variance 方差variation 变数；变分verify 证明；验证vertex, vertices 顶(点)；极点vertical 铅垂；垂直vertical angle 顶角vertical line 纵线；铅垂vertically opposite angles 对顶角volume 体积Wweight (1)重量；(2)权weighted average, weighted mean 加权平均数whole number 整数；完整数width 阔度without loss of generality 不失一般性Xx-axis x轴x-coordinate x坐标x-intercept x轴截距Yy-axis y轴y-coordinate y坐标y-intercept y轴截距Zzero 零zero factor 零因子zeros of a function 函数零值统计学population 母体sample 样本census 普查sampling 抽样quantitative 量的qualitative/categorical 质的discrete 离散的continuous 连续的population parameters 母体参数sample statistics 样本统计量descriptive statistics 叙述统计学inferential/inductive statistics 推论/归纳统计学levels of measurement 衡量尺度nominal scale 名目尺度ordinal scale 顺序尺度interval scale 区间尺度ratio scale 比例尺度frequency distribution 次数分配relative frequency 相对次数range 全距class midpoint 组中点class limits 组限class boundaries 组界class width 组距cumulative frequency (以下) 累加次数decumulative frequency 以上累加次数histogram 直方图pie chart 饼图ogive 肩形图frequency polygon 多边形图cumulative frequency polygon 累加次数多边形图box plot 盒须图stem and leaf plot 枝叶图measures of central tendency 中央趋势量数mean 平均数median 中位数mode 众数location measures 位置量数percentile 百分位数quartile 四分位数decile 十分位数dispersion measures 分散量数range 全距interquartile-range IQR 四分位距mean absolute deviation 平均绝对离差variance 变异数standard deviation 标准差coefficient of variation 变异系数left-skewed 左偏negative-skewed 负偏right-skewed 右偏positive-skewed 正偏contingency table 列联表sampling distribution (of a statistic)(某个统计量的) 抽样分布point estimate 点估计值point estimator 点估计式unbiased estimator 不偏点估计式efficient estimator 有效点估计式consistent estimator 一致点估计式confidence level 信赖水准confidence interval 信赖区间null hypothesis 虚无假设alternative hypothesis 对立假设left-tailed test 左尾检定right-tailed test 右尾检定two-tailed test 双尾检定test statistic 检定统计量critical value 临界值.。

常用数学符号英文对照

常用数学符号英文对照Basic math symbolsSymbol Symbol Name Meaning / definition Example= equals sign equality 5 = 2+35 is equal to 2+3≠not equal sign inequality 5 ≠ 45 is not equal to 4≈approximatelyequal approximationsin(0.01) ≈ 0.01,x≈y means x isapproximately equal to y> strictinequality greater than5 > 45 is greater than 4< strictinequality less than4 < 54 is less than 5≥inequality greater than or equal to 5 ≥ 4,x≥y means x is greater than or equal to y≤inequality less than or equal to 4 ≤ 5,x ≤ y means x is greater than or equal to y( ) parentheses calculate expressioninside first2 × (3+5) = 16[ ] brackets calculate expressioninside first[(1+2)×(1+5)] = 18 + plus sign addition 1 + 1 = 2−minus sign subtraction 2 − 1 = 1±plus - minus both plus and minusoperations3 ± 5 = 8 and -2±minus - plus both minus and plusoperations3 ± 5 = -2 and 8* asterisk multiplication 2 * 3 = 6×times sign multiplication 2 × 3 = 6·multiplicationdotmultiplication 2 · 3 = 6÷division sign /obelusdivision 6 ÷ 2 = 3/ division slash division 6 / 2 = 3–horizontal line division / fractionmod modulo remainder calculation 7 mod 2 = 1. period decimal point, decimalseparator2.56 = 2+56/100a b power exponent 23= 8a^b caret exponent 2 ^ 3= 8√a square root √a ·√a = a√9 = ±33√a cube root 3√a ·3√a ·3√a = a3√8 = 24√a fourth root 4√a ·4√a ·4√a ·4√a =a4√16 = ±2n√a n-th root(radical)for n=3, n√8 = 2 % percent1% = 1/100 10% × 30 = 3‰per-mille1‰ = 1/1000 = 0.1% 10‰× 30 = 0.3 ppm per-million1ppm = 1/1000000 10ppm × 30 = 0.0003 ppb per-billion 1ppb = 1/1000000000 10ppb × 30 = 3×10-7Geometry symbolsSymbolSymbol NameMeaning / definitionExample∠angle formed by two rays ∠ABC = 30°measured angle ABC = 30°sphericalangleAOB = 30°∟ right angle = 90° α = 90°°degree 1 turn = 360° α = 60° degdegree1 turn = 360degα = 60deg ′ primearcminute, 1° = 60′α = 60°59′″double prime arcsecond, 1′ = 60″ α = 60°59′59″line infinite lineABline segment line from point A to point Bray line that start from point Aarc arc from point A to point B= 60°⊥ perpendicular perpendicular lines (90° angle) AC ⊥ BC| | parallel parallel lines AB | | CD≅ congruent toequivalence of geometric shapes and size∆ABC ≅ ∆XYZ~similarity same shapes, not same size ∆ABC~ ∆XYZΔtriangle triangle shape ΔABC≅ΔBCD |x-y| distance distance between points x and y | x-y| = 5πpi constant π= 3.141592654...is the ratio between the circumferenceand diameter of a circlec= π·d=2·π·rrad radians radians angle unit 360° = 2π rad c radians radians angle unit 360° = 2πcgrad gradians /gonsgrads angle unit 360° = 400 gradggradians /gonsgrads angle unit 360° = 400 gAlgebra symbolsSymbol Symbol Name Meaning / definition Examplex x variable unknown value to find when 2x= 4, then x= 2 ≡equivalence identical to≜equal by definition equal by definition:= equal by definition equal by definition~ approximately equal weak approximation 11 ~ 10≈approximately equal approximation sin(0.01) ≈ 0.01∝proportional to proportional to y∝x when y= kx,k constant ∞lemniscate infinity symbol≪much less than much less than 1 ≪ 1000000≫much greater than much greater than 1000000 ≫ 1( ) parentheses calculate expressioninside first2 * (3+5) = 16[ ] brackets calculate expressioninside first[(1+2)*(1+5)] = 18 { } braces set⌊x⌋floor brackets rounds number to lowerinteger⌊ 4.3⌋ = 4⌈x⌉ceiling brackets rounds number to upperinteger⌈ 4.3⌉ = 5x! exclamation mark factorial4! = 1*2*3*4 = 24 | x|single vertical bar absolute value | -5 | = 5f (x) function of x maps values of x to f(x) f (x) = 3x+5(f∘g) function composition(f∘g) (x)= f (g(x))f (x)=3x,g(x)=x-1 ⇒(f∘g)(x)=3(x-1)(a,b) open interval (a,b) ={x| a< x< b}x∈ (2,6)[a,b] closed interval [a,b] ={x| a≤x≤b}x∈ [2,6]∆delta change / difference ∆t= t1 -t0∆discriminant Δ = b2- 4ac∑sigma summation - sum of allvalues in range of series∑x i= x1+x2+...+x n∑∑sigma double summation∏capital piproduct - product of all values in range of series∏ x i =x 1∙x 2∙...∙x nee constant / Euler's numbere = 2.718281828... e = lim (1+1/x )x , x →∞γ Euler-Mascheroni const antγ = 0.527721566...φgolden ratio golden ratio constantπpi constantπ = 3.141592654...is the ratio between the circumference and diameter of a circlec = π·d = 2·π·rLinear Algebra SymbolsSymbolSymbol NameMeaning / definitionExample· dot scalar producta ·b ×cross vector producta ×b A ⊗Btensor product tensor product of A and BA ⊗ Binner product[ ] brackets matrix of numbers( ) parentheses matrix of numbers| A | determinant determinant of matrix Adet(A )determinant determinant of matrix A|| x || double vertical bars normA Ttranspose matrix transpose(A T)ij = (A )jiProbability and statistics symbols Symbol Symbol Name Meaning / definition Example P(A) probabilityfunctionprobability of event A P(A) = 0.5P(A∩B) probability ofeventsintersectionprobability that of events Aand BP(A∩B) = 0.5P(A∪B) probability ofevents union probability that of events Aor BP(A∪B) = 0.5P(A| B) conditionalprobabilityfunctionprobability of event A givenevent B occuredP(A | B) = 0.3f (x) probabilitydensityfunction (pdf)P(a ≤x ≤b)= ∫ f (x)dxF(x) cumulativedistributionfunction (cdf)F(x) = P(X≤x)μpopulation mean mean of population values μ= 10E(X) expectationvalue expected value of randomvariable XE(X) = 10E(X | Y) conditionalexpectation expected value of randomvariable X given YE(X | Y=2) = 5var (X )variancevariance of random variable Xvar (X ) = 4σ2variance variance of population valuesσ2 = 4std (X )standard deviation standard deviation of random variable Xstd (X ) = 2σX standard deviationstandard deviation value of random variable X σX = 2medianmiddle value of random variable xcov (X ,Y ) covariancecovariance of random variables X and Y cov (X,Y ) = 4corr (X ,Y ) correlationcorrelation of random variables X and Y corr (X,Y ) = 0.6ρX ,Ycorrelationcorrelation of random variables X and YρX ,Y= 0.6∑summationsummation - sum of all values in range of series∑∑double summationdouble summationMo mode value that occurs most frequently in populationMR mid-rangeMR = (x max +x min )/2Mdsample median half the population is below this valueQ 1lower / first quartile25% of population are below this valueQ 2median / second quartile50% of population are below this value = median of samplesQ3upper / thirdquartile 75% of population are below this valuex sample mean average / arithmetic mean x= (2+5+9) / 3 = 5.333s2sample variance population samples varianceestimators2= 4s sample standarddeviation population samples standard deviation estimators= 2z x standard score z x= (x-x) /s xX ~ distribution of X distribution of randomvariable XX ~N(0,3)N(μ,σ2) normaldistributiongaussian distribution X ~N(0,3)U(a,b) uniformdistributionequal probability in rangea,bX ~U(0,3)exp(λ) exponentialdistributionf (x)= λe-λx, x≥0gamma(c, λ) gammadistributionf (x)= λ c x c-1e-λx/ Γ(c), x≥0χ2(k) chi-squaredistributionf (x)= x k/2-1e-x/2/( 2k/2 Γ(k/2) )F (k1, k2) F distributionBin(n,p) binomialdistributionf (k)= n C k p k(1-p)n-kPoisson(λ) Poissondistributionf (k)= λk e-λ/ k!Geom(p) geometricdistributionf (k)= p(1-p)kHG(N,K,n) hyper-geometric distributionBern(p) Bernoulli distributionSet theory symbolsSymbol Symbol Name Meaning / definition Example{ } set a collection of elements A = {3,7,9,14},B = {9,14,28}A ∩B intersection objects that belong to set A and setBA ∩B = {9,14}A ∪B union objects that belong to set A or setBA ∪B ={3,7,9,14,28}A ⊆B subset subset has fewer elements or equal tothe set{9,14,28} ⊆{9,14,28}A ⊂B proper subset /strict subsetsubset has fewer elements than theset{9,14} ⊂{9,14,28}A ⊄B not subset left set not a subset of right set {9,66} ⊄{9,14,28}A ⊇B superset set A has more elements or equal tothe set B{9,14,28} ⊇{9,14,28}A ⊃B proper superset /strict supersetset A has more elements than set B{9,14,28} ⊃{9,14}A ⊅B not superset set A is not a superset of set B {9,14,28} ⊅{9,66}2Apower set all subsets of Apower set all subsets of AA =B equalityboth sets have the same membersA={3,9,14},B={3,9,14}, A=BA ccomplementall the objects that do not belong to set AA \B relative complementobjects that belong to A and not to BA = {3,9,14},B = {1,2,3}, A-B = {9,14} A - B relative complementobjects that belong to A and not to BA = {3,9,14},B = {1,2,3}, A-B = {9,14} A ∆ Bsymmetric differenceobjects that belong to A or B but not to their intersectionA = {3,9,14},B = {1,2,3}, A ∆ B = {1,2,9,14} A ⊖ Bsymmetric differenceobjects that belong to A or B but not to their intersectionA = {3,9,14},B = {1,2,3}, A ⊖ B = {1,2,9,14}a ∈Aelement of set membershipA={3,9,14}, 3 ∈ Ax ∉ A not element ofno set membershipA={3,9,14}, 1 ∉ A(a ,b ) ordered pair collection of 2 elementsA ×B cartesian product set of all ordered pairs from A and B|A| cardinalitythe number of elements of set AA={3,9,14}, |A|=3 #Acardinality the number of elements of set AA={3,9,14}, #A=3aleph-nullinfinite cardinality of natural numbers setaleph-one cardinality of countable ordinal numbers setØ empty set Ø = { }C = {Ø}universal set set of all possible valuesnatural numbers /whole numbers set (with zero) 0= {0,1,2,3,4,...} 0 ∈1natural numbers /whole numbers set (without zero)1= {1,2,3,4,5,...} 6 ∈1integer numbers set={...-3,-2,-1,0,1,2,3,...}-6 ∈rational numbers set= {x | x =a /b , a ,b ∈}2/6 ∈real numbers set= {x | -∞ < x <∞} 6.343434∈complex numbers set= {z | z=a +bi , -∞<a <∞, -∞<b <∞}6+2i ∈∨reversed caret or x∨y | vertical line or x| y x' single quote not - negation x'x bar not - negation x¬not not - negation ¬x ! exclamation mark not - negation ! x⊕circled plus / oplus exclusive or - xor x⊕y ~ tilde negation ~ x⇒implies⇔equivalent if and only if (iff)↔equivalent if and only if (iff)∀for all∃there exists∄there does not exists∴therefore∵because / sinceCalculus & analysis symbolsSymbol Symbol Name Meaning / definition Examplelimit limit value of a functionεepsilonrepresents a very small number, near zeroε → 0eeconstant / Euler's numbere = 2.718281828...e = lim(1+1/x )x,x →∞y ' derivativederivative - Lagrange's notation (3x 3)' = 9x 2y '' second derivative derivative of derivative(3x 3)'' = 18xy (n )nth derivativen times derivation(3x 3)(3)= 18derivativederivative - Leibniz's notation d (3x 3)/dx = 9x 2secondderivativederivative of derivatived 2(3x 3)/dx 2 = 18xnthderivativen times derivationtime derivative derivative by time - Newton's notationtime second derivativederivative of derivativeD x y derivative derivative - Euler's notationD x 2ysecond derivativederivative of derivativepartialderivative∂(x 2+y 2)/∂x = 2x∫ integral opposite to derivation∫ f(x)dx∫∫ double integral integration of function of 2 variables∫∫ f(x,y)dxdy ∫∫∫triple integral integration of function of 3 variables∫∫∫ f(x,y,z)dxdydz∮closedcontour / line integral∯closedsurface integral∰closedvolume integral[a ,b ] closed interval [a ,b ] ={x | a ≤ x ≤ b }(a ,b )open interval (a ,b ) ={x | a < x < b }i imaginary unit i ≡ √-1 z = 3 + 2iz * complex conjugate z = a +bi → z *=a -bi z* = 3 - 2izcomplex conjugatez = a +bi → z = a -bi z = 3 - 2i∇ nabla / del gradient / divergence operator ∇f (x ,y ,z )vectorunit vectorx * y convolutiony (t ) = x (t ) * h (t )) = {{。

各种符号英文名称

各种符号英文名称+ plus 加号；正号- minus 减号；负号± plus or minus 正负号× is multiplied by 乘号÷ is divided by 除号＝ is equal to 等于号≠ is not equal to 不等于号≡ is equivalent to 全等于号≌ is equal to or approximately equal to 等于或约等于号≈ is approximately equal to 约等于号＜ is less than 小于号＞ is more than 大于号≮ is not less than 不小于号≯ is not more than 不大于号≤ is less than or equal to 小于或等于号≥ is more than or equal to 大于或等于号% per cent 百分之...‰ per mill 千分之...∞ infinity 无限大号∝ varies as 与...成比例√ (square) root 平方根∵ since; because 因为∴ hence 所以∷ equals, as (proportion) 等于，成比例∠ angle 角⌒ semicircle 半圆⊙ circle 圆○ circumference 圆周π pi 圆周率△ triangle 三角形⊥ perpendicular to 垂直于∪ union of 并，合集∩ intersection of 交，通集∫ the integral of ...的积分∑ (sigma) summ ation of 总和° degree 度′ minute 分〃 second 秒℃ Celsius system 摄氏度'exclaim'＝'!''at'＝'@''numbersign'＝'#''dollar'＝'$''percent'＝'%''caret'＝'^''ampersand'＝'&''asterisk'＝'*''parenleft'＝'(''parenright'＝')''minus'＝'-''underscore'＝'_''equal'＝'=''plus'＝'+''bracketleft'＝'[''braceleft'＝'{''bracketright'＝']''braceright'＝'}''semicolon'＝';''colon'＝':''quote'＝''''doublequote'＝'"''backquote'＝''''tilde'＝'~''backslash'＝'\''bar'＝'|''comma'＝',''less'＝'<''period'＝'.''greater'＝'>''slash'＝'/''question'＝'?''space'＝' '- is called dash． period 句号， comma 逗号： colon 冒号； semicolon 分号！ exclamation 惊叹号？ question mark 问号￣ hyphen 连字符\' apostrophe 省略号；所有格符号— dash 破折号… ‟single quotation marks 单引号“ ”double quotation marks 双引号( )parentheses 圆括号[ ]square brackets 方括号《》French quotes 法文引号；书名号... ellipsis 省略号¨ tandem colon 双点号" ditto 同上‖ parallel 双线号／ virgule 斜线号＆ ampersand = and～ swung dash 代字号§ section; division 分节号→ arrow 箭号；参见号＋ plus 加号；正号－ minus 减号；负号± plus or minus 正负号× is multiplied by 乘号÷ is divided by 除号＝ is equal to 等于号≠ is not equal to 不等于号≡ is equivalent to 全等于号≌ is equal to or approximately equal to 等于或约等于号≈ is appro ximately equal to 约等于号＜ is less than 小于号＞ is more than 大于号≮ is not less than 不小于号≯ is not more than 不大于号≤ is less than or equal to 小于或等于号≥ is more than or equal to 大于或等于号％ per cent 百分之…‰ per mill 千分之…∞ infinity 无限大号∝ varies as 与…成比例√ (square) root 平方根∵ since; because 因为∴ hence 所以∷ equals, as (proportion) 等于，成比例∠ angle 角⌒ semicircle 半圆⊙ circle 圆○ circumference 圆周π pi 圆周率△ triangle 三角形⊥ perpendicular to 垂直于∪ union of 并，合集∩ intersection of 交，通集∫ the integral of …的积分∑ (sigma) summation of 总和° degree 度′ minute 分〃 second 秒＃number …号℃ Celsius system 摄氏度1、~ : tilde2、` : one of the accent marks: the grave sign3、#: the number sign OR pound sign OR hash/gate mark,etc. etc.4、$: dollar sign5、%: percentage sign6、^: another accent mark: the circumflex sign (the third commonly encountered accent mark is called the acute sign as in é)7、&: ampersand8、{}: braces (open & close)9、[]: (square) brackets (open & close)10、(): parentheses (open & close)11、': apostrophe12、< >: angle/broken/pointed bracket13、|: (vertical) bar14、\: back slash14.5 /: slash or virgule15、·: ??? ellipsis16、￥ : yen symbol电话上的 * 键通常叫做 star key，# 叫做 pound key. ! exclamation" double quote# number sign$ dollar% Percent& ampersand' apostrophe() parentheses/round brackets/curved brackets* asterisk+ plus, comma- hyphen/minus. full stop/period/dot/ slash: colon; semicolon< less than= equals> greater than? question@ at[] square brackets\ backslash^ caret_ underscore` grave accent{} curly brackets/braces| vertical bar~ tilde\ backslash^ caret_ underscore` grave accent{} curly brackets/braces| vertical bar~ tilde① 按“Alt+Ctrl+C”组合键即可输入“版权符号”；②按“Alt+Ctrl+R”组合键即可输入“注册符号”；③按“Alt+Ctrl+T”组合键即可输入“商标符号”；④按“Alt+Ctrl+E”组合键输入欧元符号；⑤按“Shift+Al t+Ctrl+?”组合键即可输入上下颠倒的“?”号。

数字符号英文表达

数学符号以及希腊字母的英文表达+ plus　加号；正号- minus　减号；负号±　plus or minus　正负号×　is multiplied by　乘号÷　is divided by　除号＝　is equal to　等于号≠　is not equal to　不等于号≡　is equivalent to　全等于号∈ is a member of the set⊂ is a subset of∽ similar to≌　is equal to or approximately equal to　等于或约等于号≈　is approximately equal to　约等于号＜　is less than　小于号＞　is more than　大于号≮　is not less than　不小于号≯　is not more than　不大于号≤　is less than or equal to　小于或等于号≥　is more than or equal to　大于或等于号% per cent　百分之…‰　per mill　千分之…∞　infinity　无限大号∝　varies as　与…成比例√　(square) root　平方根e the base of natural logarithms,approx.2.71828x! factorial x, x(x-1)(x-2)---1log n x log x to the base nlnx log x to the base e(natural logarithm) lgx log x to the base 10(common logarithm) |x|the absolute value of x∵　since; because　因为∴　hence　所以∷　equals, as (proportion)　等于，成比例∠　angle　角⌒　semicircle　半圆⊙　circle　圆○　circumference　圆周π　pi 圆周率△　triangle　三角形∥ parallel to⊥　perpendicular to　垂直于∪　union of　并，合集∩　intersection of 交，通集∫　the integral of …的积分∑　(sigma) summation of　总和°　degree　度′　minute　分〃　second　秒℃　Celsius system　摄氏度°F Fahrenheit华氏{　open brace, open curly　左花括号}　close brace, close curly　右花括号(　open parenthesis, open paren　左圆括号)　close parenthesis, close paren　右圆括号() brakets/ parentheses　括号[　open bracket 左方括号]　close bracket 右方括号[] square brackets　方括号.　period, dot　句号，点　vertical bar, vertical virgule　竖线&　ampersand, and, reference, ref　和，引用*　asterisk, multiply, star, pointer　星号，乘号，星，指针/　slash, divide, oblique 斜线，斜杠，除号//　slash-slash, comment 双斜线，注释符#　AmE pound　or BrE hash井号\　backslash, sometimes escape　反斜线转义符，有时表示转义符或续行符~　tilde　波浪符.　full stop　句号,　comma　逗号:　colon　冒号;　semicolon　分号?　question mark　问号!　exclamation mark (英式英语) exclamation point (美式英语)'　apostrophe　撇号-　hyphen　连字号-- dash 破折号...　dots/ ellipsis　省略号"　single quotation marks 单引号""　double quotation marks 双引号‖ parallel 双线号&　ampersand = and～　swung dash 代字号§　section; division 分节号→　arrow 箭号；参见号αΑ alpha 【'æfə】βΒ beta 【'beitə】γΓ gamma 【'gæmə】δΔ delta 【'deltə】εΕ epsilon 【'epsilən】ζΖ zeta 【'zi:tə】ηΗ eta 【'i:tə】θΘ theta 【'θi:tə】ιΙ iota 【aɪ'əʊtə】κΚ kappa 【'kæpə】λ∧ lambda 【'læmdə】μΜ mu 【mju:】νΝ nu 【nju:】ξΞ xi 【ksi:】οΟ omicron 【əu'maikrən】π∏ pi 【pai】ρΡ rho 【rəu】σ∑ sigma 【'sigmə】τΤ tau【taʊ】υΥ upsilon 【'epsilən】φΦ phi 【fai】χΧ chi 【ki:】ψΨ psi 【psai】ωΩ omega 【'əumigə】给大家推荐一个英语微信群Empty Your Cup英语微信群是目前学习英语最有效的方法，群里都是说英语，没有半个中文，而且规则非常严格，是一个超级不错的英语学习环境，群里有好多英语超好的超牛逼的人，还有鬼佬和外国美眉。

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