常用数学公式的英语表述
数学词汇中英文对照(初中部分)方程与代数
数学词汇中英文对照(初中部分)方程与代数数学词汇中英文对照(初中部分)二、方程与代数代数(学):algebra字母表示数:Use letters to indicate numbers代数式:algebraic expression单项式:monomial系数:coefficient次数:degree多项式:polynomial二项式:binomial三项式:trinomial二次三项式:second degree trinomial项:term常数项:constant term整式:integral expression升幂:in ascending order of the power降幂:in descending order of the power同类项:like terms合并:combine等式:equality, equation等号:sign of equality二次方:(x)squared三次方:(x)cubedn次方:(x)to the power of n/to the n-th power乘法公式:multiplication formula平方差:difference of squares平方差公式:formula for the difference of squares 完全平方:perfect square完全平方公式:formula for the perfect square分解因式:factorizing公因式:common factor提公因式法:method of extracting common factors 十字相乘法:method of cross multiplication分组分解法:method of regrouping长除法:long division分离系数法:method of detached coefficients分式:algebraic fraction无意义:illegal有意义:legal有理式:rational expression约分:reduction of a fraction最简分式:simplest fraction通分:turn fractions to a common denominator最简公分母:simplest common denominator根式:radical根指数:radical exponent被开方数:radicand二次根式:quadratic surd最简二次根式:simplest quadratic surd同类二次根式:similar quadratic surds分母有理化:rationalize a denominator有理化因式:rationalizing factor根:root增根:extraneous root已知数:given number未知数:unknown number方程:equation列方程:form an equation等量关系:equality检验:check根:root解方程:solving equation解法、解:solution一元一次方程:linear equation in one variable方程的解:solution of equation移项:transposition of terms去括号:remove brackes去分母:remove denominator化简:simplify不成立:false不等式:inequality一元一次不等式:linear inequality in one unknown一元一次不等式组:system of linear inequalities in one variable不等号:non-equal sign含绝对值的不等式:inequality with absolute value大于:greater than小于:less than大于等于:greater than or equal to小于等于:less than or equal to不等式性质:property of inequality解集:solution set解不等式:solve inequality公共部分:common part无解:no solution二元一次方程:linear equation in two unknowns二元一次方程组:system of linear equations in two unknowns 代入(消元)法:elimination by substitution加减(消元)法:elimination by addition and subtraction三元一次方程:linear equation in three unknowns三元一次方程组:system of linear equations in three unknowns一元二次方程:quadratic equation in one unknown一般式:general form二次项:quadratic term一次项:linear term常数项:constant term开平方法:radication因式分解法:factorization配方法:complete a perfect squae求根公式法: formula method一元二次方程根的判别式:discriminant of quadratic equation in one variable整式方程:integral equation一元整式方程:linear integral eqution一元高次方程:linear high-order equation二项方程:binomial equation双二次方程:biquadratic equation分式方程:fractional equation无理方程:irrational equation二元二次方程:quadratic equation in two variables一元二次不等式:quadratic inequality in one variable。
常用数学公式之数学英语词汇
salariestax薪俸税sample抽样;样本samplemean样本平均数samplespace样本空间samplingdistribution抽样分布samplingtheory抽样理论sandwichtheorem迫近定理satisfy满足;适合scalar纯量;无向量,标量scalarmatrix纯量矩阵scalarmultipliction纯量乘法scalarproduct纯量积scalartripleproduct纯量三重积scale比例尺;标度;图尺scalenetriangle不等边三角形;不规则三角形scatterdiagram散点图Schwartz′sinequality施瓦兹不等式scientificnotation科学记数法secant(1)正割;(2)割线secantmethod正割法second秒secondderivative二阶导数secondorderordinarydifferentialequation二阶常微分方程secondquartile第二四分位数(1)截面;截线;(2)截点section(1)截面;截线?;(2)截点sectionformula截点公式sector扇式segment段;节segmentofacircle弓形sellingprice售价semicircle半圆semi-conjugateaxis半共轭轴semi-majoraxis半主轴;半长轴semi-minoraxis半副轴;半短轴semi-transverseaxis半贯轴semi-verticalangle半顶角sentence句;语句separabledifferentialequation可分微分方程septicequation七次方程sequence序列series级数set集setsquare三角尺;三角板set-builderform集的结构式shadedportion有阴影部分shape形状shear位移side边;侧sign符号;记号signednumber有符号数table表;数表tabulate制表tabulationform表列式tabulationmethod列表法tail反面(钱币)tangent(1)正切;(2)切?tautology恒真命题;恒真式Taylor’sexpansion泰勒展开式Taylor’sseries泰勒级数Taylor’stheorem泰勒定理tension张力term项terminalbox终端框terminalpoint终点terminalside终边terminalvelocity终端速度terminatingdecimal有尽小数tesselation密铺;铺嵌;嵌砌testciiterion检验标准testofsignificance显著性检验tetrahedron四面体theorem定理theoreticalprobability理论概率theory理论;论thirdquartile第三四分位数three-dimensionalspace三维空间thrust推力tothenearest至最接近之top顶torque转矩torus环面total总数totalprobability总概率touch切;切触trace?trajectory轨?;轨迹transcendentalfunction超越函数transcendentalnumber超越数transform变换;转换transformation变换transformationofvariable变数转换transitive可传递的transitivelaw可迁律transitiveproperty传递性transitivity传递性translation平移transpose移项;转置transposeofmatrix倒置矩阵;转置矩阵transversal截?;横截的transverseaxis贯轴;横截轴trapezium梯形trapezoidalintegral梯形积分trapezoidalrule梯形法则travelgraph行程图treediagram树形图trial试;试验triangle三角形triangleinequality三角不等式trianglelawofaddition三角形加法trianglemethod三角形法triangularmatrix三角矩阵triangularnumber三角形数triangularprism三棱柱;三角柱trichotomylaw三分律;三一律trichotomyproperty三分律;三一律trigonometricequation三角方程trigonometricfunction三角函数trigonometricidentity三角恒等式trigonometricratio三角比trigonometrictable三角函数表trigonometry三角学;三角trinomial三项式triple三倍tripleangle三倍角tripleproduct三重积trisect三等分trivialsolution平凡解significancelevel显著性水平significantfigure有效数字signum正负号函数similar相似similarfigures相似图形similartriangles相似三角形similarity相似(性)simpleequation简易方程simpleharmonicmotion简谐运动simpleinterest单利;单利息simpleiterationmethod简单迭代法simplependulum单摆simplify简化Simpson′sintegral森逊积分Simpson′srule森逊法则simultaneousdifferentialequations微分方程组;联立微分方程simultaneousequations联立方程simultaneousinequalities联立不等式simultaneouslinearequationsintwounknowns联合二次线性方程式sine正弦sineformula正弦公式singleton单元集single-valuedfunction单值函数singular奇的'singularmatrix奇异矩阵;不可逆矩阵skewdistribution偏斜分布skewline偏斜线slantedge斜棱slantheight斜高slope斜率;斜度;倾斜;坡度slope-interceptform斜率截距式;斜截式soildwithuniformcorss-section有均匀横切面的立体solid立体;固体solidofrevolution旋转体;回旋体solution解;解法solutionofequation方程解solutionoftriangle三角形解法solutionset解集solve解span生成specialangle特殊角;特别角speed速率sphere球形;球面spheroid球体spiral螺线square(1)平方;(2)正方形squarebracket方括号squarematrix方(矩)阵squarenumber正方形数;平方数squareroot平方根;二次根squeezetheorem迫近定理stability稳度standarddeviation标准差;标准偏离standardequation标准方程standarderror标准误差standardform标准式standardnormaldistribution标准正态分布;标准常态分布standardscore标准分standardunit标准单位statement语句statementcalculus命题演算staticfriction静磨擦statics静力学stationary平稳stationarypoint平稳点;逗留点;驻点stationaryvalue平稳值statisticalchart统计分析statisticaldata统计图表statisticalsignificance统计数据statistics统计显著性step统计;统计学stepfunction阶梯函数straightline直线straightlinegraph直线图像strictlymonotonic严格单调strictlymonotonicfunction严格单调函数subject主项submultipleangleformula半角公式subnormal次法线subsequence子(序)列subset子集subsidiaryangle辅助角substitute代入substitution代入;代入法subtangent次切线subtend对向subtract减subtraction减法successiveapproximation逐次逼近法successivederivative逐次导数successivedifferentiation逐次微分法sufficiency充份性sufficientandnecessarycondition充要条件sufficientcondition充份条件sufficientlyclose充份接近suffix下标sum和sumtoinfinity无限项之和sumtontermsn项和sumtoproductformula和化积公式summation求和法;总和summationformula求和公式superimposing迭合superset母集supplementaryangle补角surd根式;不尽根surface面;表面surfacearea表面面积;曲面面积surfaceofrevolution旋转曲面;回转曲面surjection满射surjectivefunction满射函数;映成函数syllogism三段论symbol符号;记号symmetrixdifference对称差symmetricexpression对称式symmetricrelation对称关系symmetry对称;对称性syntheticdivision综合除法system系统;体系;组;系systemofcircles圆族;圆系systemofnumerals记数系统systemofstraightlines直线族;直线系nfactorialn阶乘nthderivativen阶导数nthrootn次根;n次方根ntherootofunity单位的n次根Napierianlogarithm纳皮尔对数;自然对数naturallogarithm自然对数naturalnumber自然数naturalsurjection自然满射necessaryandsufficientcondition充要条件necessarycondition必要条件negation否定式negative负negativeangle负角negativebinomialdistribution负二项式分布negativeindex负指数negativeinteger负整数negativenumber负数negativevector负向量;负矢量neighborhood邻域net净(值)netforce净力Newton-Cote′srule牛顿-高斯法则Newton-Raphson′smethod牛顿-纳逊方法Newton′sformula牛顿公式Newton′slawofmotion牛顿运动定律Newton′smethod牛顿方法n-gonn边形nonagon九边形non-collinear不共线?non-linear非线性non-linearequation非线性方程non-negative非负的non-reflexive非自反的non-singular(1)满秩的;(2)非奇异的non-singularmatrix满秩矩阵non-transitive非可递的non-trivial非平凡的non-zero非零norm模方;范数normal(1)垂直的;正交的;法线的(2)正态的(3)正常的;正规的normalcurve正态分布曲?;常庇分布曲?;正规曲?;正庇曲? normaldistribution正态分布,常态分布normalform法线式normalreaction反向法作用力normaltocurve曲线的法线normalvector法向量normalize正规化normalizedform标准型notation记法;记号null零;空nullhypothesis零假设;虚假设nullset空集nullvector零向量number数numberline数线?numberpair数偶numberpattern数型numberplane数平面numbersystem数系numeral数字;数码numeralsystem记数系统numerator分子numerical数值的;数字的numericalanalysis数字分析numericalexpression数字式numericalintegration数值积分法numericalmethod计算方法;数值法。
数学术语英文
数学术语英文在我们学习数学的过程中,会遇到各种各样的术语。
而当我们需要与国际上的数学领域进行交流,或者阅读国外的数学资料时,了解这些数学术语的英文表述就变得非常重要。
首先,让我们从最基础的数字和运算开始。
“零”在英文中是“zero”,“一”是“one”,“二”是“two”,以此类推。
而常见的运算符号,“加”是“plus”或者“add”,对应的加法算式可以表述为“One plus two equals three”(一加二等于三)。
“减”是“minus”或者“subtract”,例如“Five minus three is two”(五减三等于二)。
“乘”可以用“multiply”或者“times”,像“Two times three equals six”(二乘三等于六)。
“除”则是“divide”,比如“Six divided by two is three”(六除以二等于三)。
接下来是几何图形方面的术语。
“三角形”是“triangle”,“正方形”是“square”,“长方形”是“rectangle”,“圆形”是“circle”,“椭圆形”是“oval”,“菱形”是“rhombus”。
在描述图形的性质时,“边长”是“side length”,“周长”是“perimeter”,“面积”是“area”。
再看看代数领域。
“未知数”通常用“unknown”或者“variable”表示。
“方程”是“equation”,例如线性方程“linear equation”。
“函数”是“function”,像常见的一次函数“linear function”,二次函数“quadratic function”。
“系数”是“coefficient”,“常数”是“constant”。
在统计学中,“平均数”是“average”或者“mean”,“中位数”是“median”,“众数”是“mode”。
“概率”是“probability”,“随机变量”是“random variable”。
英文介绍数学公式
英文介绍数学公式:轻松掌握基础与进阶技巧在英文世界中,数学公式是沟通数学概念和逻辑关系的重要工具。
下面,我们将一起探索一些常见的数学公式,并了解如何在英文中准确地介绍它们。
1. 基本数学公式(1)加法公式:Addition Formula当我们需要计算两个或多个数的总和时,可以使用加法公式。
例如,3 + 4 = 7,在英文中表达为 "Three plus four equals seven."(2)减法公式:Subtraction Formula减法公式用于计算两个数之间的差值。
例如,8 5 = 3,可以表述为 "Eight minus five equals three."(3)乘法公式:Multiplication Formula乘法公式用于计算两个或多个数的乘积。
例如,6 × 7 = 42,英文表达为 "Six multiplied seven equals fortytwo."(4)除法公式:Division Formula除法公式用于计算一个数被另一个数除的结果。
例如,21 ÷ 3 = 7,可以表述为 "Twentyone divided three equals seven."2. 进阶数学公式(1)平方公式:Square Formula平方公式用于计算一个数的平方。
例如,x² 表示 x 的平方,在英文中表达为 "x squared."(2)平方根公式:Square Root Formula平方根公式用于求解一个数的平方根。
例如,√16 = 4,可以表述为 "The square root of sixteen is four."(3)指数公式:Exponential Formula指数公式用于表示一个数的幂次方。
例如,2^3 = 8,英文表达为"Two raised to the power of three equals eight."2. 高级数学公式及其应用(1)三角函数公式:Trigonometric Functions在解决几何问题时,三角函数公式尤为重要。
常用数学术语英文对照表
代数部分1.有关数学运算add,plus加subtract减difference差multiply,times乘product积divide除divisible可被整除的dividedevenly被整除dividend被除数,红利divisor因子,除数quotient商remainder余数factorial阶乘power乘方radicalsign,rootsign根号roundto四舍五入tothenearest四舍五入2.有关集合union并集proper subset真子集solution set解集3.有关代数式、方程和不等式algebraic term代数项like terms,similar terms同类项numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程,等价方程linear equation线性方程(e.g.5x+6=22)4.有关分数和小数proper fraction真分数improper fraction假分数mixed number带分数vulgar fraction,common fraction普通分数simple fraction简分数complex fraction繁分数numerator分子denominator分母(least)common denominator(最小)公分母quarter四分之一decimal fraction纯小数infinite decimal无穷小数recurring decimal循环小数tenthsunit十分位5.基本数学概念arithmetic mean算术平均值weighted average加权平均值geometric mean几何平均数exponent指数,幂base乘幂的底数,底边cube立方数,立方体square root平方根cuberoot立方根common logarithm常用对数digit数字constant常数variable变量inversefunction反函数complementary function余函数linear一次的,线性的factorization因式分解absolute value绝对值,e.g.|-32|=32round off 四舍五入6.有关数论natural number自然数positive number正数negative number负数odd integer,odd number奇数even integer,even number偶数integer,whole number 整数positive whole number正整数negative whole number负整数consecutive number连续整数rea lnumber,rational number实数,有理数irrational(number)无理数inverse倒数composite number合数e.g.4,6,8,9,10,12,14,15……prime number质数e.g.2,3,5,7,11,13,15……注意:所有的质数(2除外)都是奇数,但奇数不一定是质数reciprocal倒数common divisor公约数multiple倍数(least)common multiple(最小)公倍数(prime)factor(质)因子common factor公因子ordinaryscale,decimalscale十进制nonnegative非负的tens十位units个位mode众数median中数common ratio公比7.数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列8.其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数directproportion正比distinct不同的estimation估计,近似parentheses括号proportion比例permutation排列combination组合table表格trigonometric function三角函数unit单位,位几何部分1.所有的角alternate angle内错角corresponding angle同位角vertical angle对顶角central angle圆心角interior angle内角exterior angle外角supplement aryangles补角complement aryangle余角adjacent angle邻角acute angle锐角obtuse angle钝角right angle直角round angle周角straight angle平角included angle夹角2.所有的三角形equilateral triangle等边三角形scalene triangle不等边三角形isosceles triangle 等腰三角形right triangle直角三角形oblique斜三角形inscribed triangle内接三角形3.有关收敛的平面图形,除三角形外semicircle半圆concentric circles同心圆quadrilateral四边形pentagon五边形hexagon六边形heptagon七边形octagon八边形nonagon九边形decagon十边形polygon多边形parallelogram平行四边形equilateral等边形plane平面square正方形,平方rectangle长方形regular polygon正多边形rhombus菱形trapezoid梯形4.其它平面图形arc弧line,straight line直线line segment线段parallel lines平行线segment of a circle弧形5.有关立体图形cube立方体,立方数rectangular solid长方体regular solid/regular polyhedron正多面体circular cylinder圆柱体cone圆锥sphere球体solid立体的6.有关图形上的附属物altitude高depth深度side边长circumference,perimeter周长radian弧度surface area表面积volume体积arm直角三角形的股cros ssection横截面center of acircle圆心chord弦radius半径angle bisector角平分线diagonal 对角线diameter直径edge棱face of a solid立体的面hypotenuse斜边included side夹边leg三角形的直角边medianofatriangle三角形的中线base底边,底数(e.g.2的5次方,2就是底数)opposite直角三角形中的对边midpoint中点endpoint端点vertex(复数形式vertices)顶点tangent切线的transversal截线intercept截距7.有关坐标coordinate system坐标系rectangular coordinate直角坐标系origin原点abscissa 横坐标ordinate纵坐标numberline数轴quadrant象限slope斜率complex plane复平面8.其它plane geometry平面几何trigonometry三角学bisect平分circumscribe外切inscribe内切intersect相交perpendicular垂直pythagorean theorem勾股定理congruent全等的multilateral多边的其它1.单位类cent美分penny一美分硬币nickel5美分硬币dime一角硬币dozen打(12个)score廿(20个)Centigrade摄氏Fahrenheit华氏quart夸脱gallon加仑(1gallon=4quart)yard码meter米micron微米inch英寸foot英尺minute分(角度的度量单位,60分=1度)squaremeasure平方单位制cubicmeter立方米pint品脱(干量或液量的单位)2.有关文字叙述题,主要是有关商业intercalary year(leapyear)闰年(366天)common year平年(365天)depreciation折旧down payment直接付款discount打折margin利润profit利润interest利息simple interest单利compounded interest复利dividend红利decrease to减少到decrease by减少了increase to增加到increase by增加了denote表示list price标价markup涨价per capita每人ratio比率retail price零售价tie打Welcome To Download欢迎您的下载,资料仅供参考!。
常用数学公式的英语表述
常用的数学英语表述1.Logic∃there exist∀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 equivalent 2.Setsx∈A x belongs to A / x is an element (or a member) of Ax∉A x does not belong to A / x is not an element (or a member) of A A⊂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\B A minus B / the diference 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 yx y x over y= the equals signx = 5 x equals 5 / x is equal to 5x≠5x (is) not equal to 5x≡y x is equivalent to (or identical with) yx ≡ 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≤1zero is less than or equal to x is less than or equal to 1| x | 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 −n x to the (power) minus nx (square) root x / the square root of xx 3 cube root (of) xx 4 fourth root (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factorialx ^ x hatx ¯x barx ˜x tildex i xi / x subscript i / x suffix i / x sub i∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs fro m 1 to n of the a i4. Linear algebra‖x ‖the norm (or modulus) of xOA →OA / vector OAOA ¯OA / the length of the segment OAA T A transpose / the transpose of AA −1 A inverse / the inverse of A5. Functionsf( x ) fx / f of x / the function f of xf:S→T a function f from S to Tx→y x maps to y / x is sent (or mapped) to yf'( x ) f prime x / f dash x / the (first) derivative of f with respect to xf''( x ) f double-prime x / f double-dash x / the second derivative of f with respect to xf'''( x ) triple-prime x / f triple-dash x / the third derivative of f with re spect to xf (4) ( x ) f four x / the fourth derivative of f with respect to x∂f ∂ x 1the partial (derivative) of f with respect to x1∂ 2 f ∂ x 1 2the second partial (derivative) of f with respect to x1∫ 0 ∞the integral from zero to infinitylimx→0the limit as x approaches zerolimx→ 0 +the limit as x approaches zero from abovelimx→ 0 −the limit as x approaches zero from belowlog e y log y to the base e / log to the base e of y / natural log (of) ylny log y to the base e / log to the base e of y / natural log (of) y一般词汇数学mathematics, maths(BrE), math(AmE)公理axiom定理theorem计算calculation运算operation证明prove假设hypothesis, hypotheses(pl.)命题proposition算术arithmetic加plus(prep.), add(v.), addition(n.)被加数augend, summand加数addend和sum减minus(prep.), subtract(v.), subtraction(n.) 被减数minuend减数subtrahend差remainder乘times(prep.), multiply(v.), multiplication(n.) 被乘数multiplicand, faciend乘数multiplicator积product除divided by(prep.), divide(v.), division(n.) 被除数dividend除数divisor商quotient等于equals, is equal to, is equivalent to大于is greater than小于is lesser than大于等于is equal or greater than小于等于is equal or lesser than运算符operator数字digit数number自然数natural number整数integer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权weight, significance进位carry截尾truncation四舍五入round下舍入round down上舍入round up有效数字significant digit无效数字insignificant digit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附:在一个分数里,分子或分母或两者均含有分数。
英语数学公式
1.Logic∃there exist∀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 equivalent 2.Setsx A x belongs to A / x is an element (or a member) of Ax∉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\B A minus B / the diference 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 onexyxy / x multiplied by y(x-y)(x+y) x minus y, x plus y= the equals signx=5 x equals 5 / x is equal to 5x≠5 x (is) not equal to 5x y x is 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 1 |x| mod x / modulus xx2x squared / x (raised) to the power 2x3x cubedx4 x to the fourth / x to the power 4x n x to the nth / x to the power nx(−n) x to the (power) minus nx的平方根(square) root x / the square root of xx的三次根cube root (of) xx的四次根fourth root (of) xx的n次根nth root (of) x(x+y)2 x plus y all squaredn! n factorialx^x hatx¯ x barx˜ x tildex i xi / x subscript i / x suffix i / x sub i∑(i=1~n) a i the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i4. Linear algebra‖x‖the norm (or modulus) of xOA OA / vector OAOA¯ OA / the length of the segment OAA T A transpose / the transpose of AA−1 A inverse / the inverse of A5. Functionsf(x) fx / f of x / the function f of xf:S T a function f from S to Tx y x maps to y / x is sent (or mapped) to yf’(x) f prime x / f dash x / the (first) derivative of f with respect to xf”(x) f double-prime x / f double-dash x / the second derivative of f with respect to xf”’(x) triple-prime x / f triple-dash x / the third derivative of f with respect to xf (4) (x) f four x / the fourth derivative of f with respect to x∂f/∂x1 the partial (derivative) of f with respect to x1∂2f/∂x12 the second partial (derivative) of f with respect to x1∫0∞ the integral from zero to infinitylim x 0the limit as x approaches zerolim x 0+the limit as x approaches zero from abovelim x 0−the limit as x approaches zero from belowlog e y log y to the base e / log to the base e of y / natural log (of) ylny log y to the base e / log to the base e of y / natural log (of) y。
中考英语公式知识点总结
中考英语公式知识点总结一、公式公式是用代数符号表示的等式,用来表示某些数学关系或物理规律。
在中考英语中,我们常常会遇到一些与公式相关的题目,因此熟练掌握公式知识对于中考英语的考试至关重要。
二、公式知识点1. 数学表达式(1)加法:a + b(2)减法:a - b(3)乘法:a * b(4)除法:a / b(5)开方:√a2. 四则运算公式(1)加法:a + b = c(2)减法:a - b = c(3)乘法:a * b = c(4)除法:a / b = c3. 三角函数公式(1)正弦函数:sinA = a / c(2)余弦函数:cosA = b / c(3)正切函数:tanA = a / b4. 几何公式(1)矩形面积:S = a * b(2)三角形面积:S = 0.5 * a * b * sinC(3)圆的面积:S = πr^2(4)圆的周长:C = 2πr5. 物理公式(1)速度公式:v = s / t(2)加速度公式:a = (v - u) / t(3)牛顿第二定律:F = ma(4)功率公式:P = W / t三、公式的应用1. 通过公式计算数学题目在中考英语考试中,我们经常会遇到一些与公式相关的数学题目,例如求矩形的面积、求三角形的面积、求圆的面积等。
在解决这些题目时,我们可以根据已知的数据,利用相应的公式进行计算,从而得到答案。
2. 通过公式解决物理问题除了数学题目外,中考英语考试中也会出现一些与物理相关的问题,例如求速度、求加速度、求力等。
我们可以利用相应的物理公式来解决这些问题,从而得到正确的答案。
四、公式的学习方法1. 理解公式的含义在学习公式时,首先要理解公式的含义,明白每个代数符号所代表的意义,以及公式所描述的数学规律或物理规律。
2. 熟练掌握公式的推导过程在学习公式时,我们不仅要记住公式的形式,还要熟练掌握公式的推导过程,理解公式是如何由相关的数学或物理规律推导而来的。
3. 多做相关题目在学习公式的过程中,我们要多做相关的练习题,巩固和加深对公式的理解。
数学公式 英文表示
1.Logic∃ there exist∀ 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 equivalent 2.Setsx∈A x belongs to A / x is an element (or a member) of Ax∉A x does not belong to A / x is not an element (or a member) of A A⊂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\B A minus B / the diference 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 yx y x over y= the equals signx = 5 x equals 5 / x is equal to 5x≠5 x (is) not equal to 5x≡y x is equivalent to (or identical with) yx ≡ 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 1| x | 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 −n x to the (power) minus nx (square) root x / the square root of xx 3 cube root (of) xx 4 fourth root (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factorialx ^ x hatx ¯ x barx ˜ x tildex i xi / x subscript i / x suffix i / x sub i∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i4. Linear algebra‖ x ‖ the norm (or modulus) of xOA → OA / vector OAOA ¯ OA / the length of the segment OAA T A transpose / the transpose of AA −1 A inverse / the inverse of A5. Functionsf( x ) fx / f of x / the function f of xf:S→T a function f from S to Tx→y x maps to y / x is sent (or mapped) to yf'( x ) f prime x / f dash x / the (first) derivative of f with respect to xf''( x ) f double-prime x / f double-dash x / the second derivative of f with respect to x f'''( x ) triple-prime x / f triple-dash x / the third derivative of f with respect to xf (4) ( x ) f four x / the fourth derivative of f with respect to x∂f∂ x 1 the partial (derivative) of f with respect to x1∂ 2 f ∂ x 1 2 the second partial (derivative) of f with respect to x1∫ 0 ∞ the integral from zero to infinitylim x→0 the limit as x approaches zerolim x→ 0 + the limit as x approaches zero from abovelim x→ 0 − the limit as x approaches zero from belowlog e y log y to the base e / log to the base e of y / natural log (of) ylny log y to the base e / log to the base e of y / natural log (of) y+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 greater 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&ersand, 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&ersand = and~swung dash 代字号§section; division 分节号→arrow 箭号;参见号。
数学专业英语常用词汇
数学专业英语词汇代数部分1. 有关数算add,plus 加subtract 减difference 差multiply, times 乘product 积divide 除divisible 可被整除的divided evenly被整除dividend 被除数,红利divisor 因子,除数quotient 商remainder余数factorial 阶乘power 乘方radical sign, root sign 根号round to四舍五入to the nearest 四舍五入2. 有关集合union 并集proper subset 真子集solution set 解集3.有关代数式、方程和不等式algebraic term 代数项like terms, similar terms同类项numerical coefficient 数字系数literal coefficient 字母系数inequality 不等式triangle inequality 三角不等式range 值域original equation 原方程equivalent equation 同解方程,等价方程linear equation 线性方程e.g. 5 x +6=224.有关分数和小数proper fraction真分数improper fraction 假分数mixed number 带分数vulgar fraction,common fraction 普通分数simple fraction简分数complex fraction繁分数numerator 分子denominator 分母least common denominator最小公分母quarter 四分之一decimal fraction 纯小数infinite decimal 无穷小数recurring decimal循环小数tenths unit 十分位5. 基本数学概念arithmetic mean 算术平均值weighted average 加权平均值geometric mean 几何平均数exponent 指数,幂base 乘幂的底数,底边cube 立方数,立方体square root平方根cube root 立方根common logarithm 常用对数digit 数字constant 常数variable 变量inverse function反函数complementary function 余函数linear 一次的,线性的factorization 因式分解absolute value绝对值,e.g.|-32|=32 round off四舍五入6.有关数论natural number 自然数positive number 正数negative number 负数odd integer, odd number 奇数even integer, even number 偶数integer, whole number 整数positive whole number 正整数negative whole number 负整数consecutive number 连续整数real number, rational number 实数,有理数irrationalnumber 无理数inverse 倒数composite number 合数 e.g. 4,6,8,9,10,12,14,15……prime number 质数 e.g. 2,3,5,7,11,13,15……注意:所有的质数2除外都是奇数,但奇数不一定是质数reciprocal 倒数common divisor 公约数multiple 倍数leastcommon multiple 最小公倍数prime factor 质因子common factor 公因子ordinary scale, decimal scale 十进制nonnegative 非负的tens 十位units 个位mode众数median 中数common ratio 公比7.数列arithmetic progressionsequence 等差数列geometric progressionsequence 等比数列approximate 近似anticlockwise 逆顺时针方向cardinal 基数ordinal 序数direct proportion 正比distinct 不同的estimation 估计,近似parentheses 括号proportion 比例permutation 排列combination 组合table 表格trigonometric function 三角函数unit 单位,位几何部分1. 所有的角alternate angle 内错角corresponding angle 同位角vertical angle对顶角central angle圆心角interior angle 内角exterior angle 外角supplementary angles补角complementary angle余角adjacent angle 邻角acute angle 锐角obtuse angle 钝角right angle 直角round angle周角straight angle 平角included angle夹角2.所有的三角形equilateral triangle 等边三角形scalene triangle不等边三角形isosceles triangle等腰三角形right triangle 直角三角形oblique 斜三角形inscribed triangle 内接三角形3.有关收敛的平面图形,除三角形外semicircle 半圆concentric circles 同心圆quadrilateral四边形pentagon 五边形hexagon 六边形heptagon 七边形octagon 八边形nonagon 九边形decagon 十边形polygon多边形parallelogram 平行四边形equilateral 等边形plane 平面square 正方形,平方rectangle 长方形regular polygon 正多边形rhombus 菱形trapezoid梯形4.其它平面图形arc 弧line, straight line 直线line segment 线段parallel lines 平行线segment of a circle 弧形5.有关立体图形cube 立方体,立方数rectangular solid 长方体regular solid/regular polyhedron 正多面体circular cylinder 圆柱体cone圆锥sphere 球体solid 立体的6.有关图形上的附属物altitude 高depth 深度side 边长circumference, perimeter 周长radian弧度surface area 表面积volume 体积arm 直角三角形的股cross section 横截面center of a circle 圆心chord 弦radius 半径angle bisector 角平分线diagonal 对角线diameter 直径edge 棱face of a solid 立体的面hypotenuse 斜边included side夹边leg三角形的直角边median of a triangle 三角形的中线base 底边,底数e.g. 2的5次方,2就是底数opposite直角三角形中的对边midpoint 中点endpoint 端点vertex复数形式vertices顶点tangent 切线的transversal截线intercept 截距7.有关坐标coordinate system 坐标系rectangular coordinate 直角坐标系origin 原点abscissa横坐标ordinate纵坐标number line 数轴quadrant 象限slope斜率complex plane 复平面8.其它plane geometry 平面几何trigonometry 三角学bisect 平分circumscribe 外切inscribe 内切intersect相交perpendicular 垂直pythagorean theorem勾股定理congruent 全等的multilateral 多边的1.单位类cent 美分penny 一美分硬币nickel 5美分硬币dime 一角硬币dozen 打12个score 廿20个Centigrade 摄氏Fahrenheit 华氏quart 夸脱gallon 加仑1 gallon = 4 quart yard 码meter 米micron 微米inch 英寸foot 英尺minute 分角度的度量单位,60分=1度square measure 平方单位制cubic meter 立方米pint 品脱干量或液量的单位2.有关文字叙述题,主要是有关商业intercalary yearleap year 闰年366天common year 平年365天depreciation 折旧down payment 直接付款discount 打折margin 利润profit 利润interest 利息simple interest 单利compounded interest 复利dividend 红利decrease to 减少到decrease by 减少了increase to 增加到increase by 增加了denote 表示list price 标价markup 涨价per capita 每人ratio 比率retail price 零售价tie 打Chapter onefunction notation方程符号函数符号quadratic functions 二次函数quadratic equations 二次方程式二次等式chapter twoEquivalent algebraic expressions 等价代数表达式rational expression 有理式有理表达式horizontal and vertical translation of functions 函数的水平和垂直的平移reflections of functions 函数的倒映映射chapter threeExponential functions 指数函数exponential decay 指数式衰减exponent 指数properties of exponential functions 指数函数的特性chapter fourTrigonometry 三角学Reciprocal trigonometric ratios 倒数三角函数比Trigonometric functions 三角函数Discrete functions 离散函数数学 mathematics, mathsBrE, mathAmE公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设 hypothesis, hypothesespl.命题 proposition算术 arithmetic加 plusprep., addv., additionn.被加数 augend, summand加数 addend和 sum减 minusprep., subtractv., subtractionn. 被减数 minuend减数 subtrahend差 remainder乘timesprep., multiplyv., multiplicationn.被乘数 multiplicand, faciend乘数 multiplicator积 product除 divided byprep., dividev., divisionn. 被除数 dividend除数 divisor商 quotient等于 equals, is equal to, is equivalent to大于 is greater than小于 is lesser than大于等于 is equal or greater than小于等于 is equal or lesser than运算符 operator数字 digit数 number自然数 natural number整数 integer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权 weight, significance进位 carry截尾 truncation四舍五入 round下舍入 round down上舍入 round up有效数字 significant digit无效数字 insignificant digit代数 algebra公式 formula, formulaepl.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 powern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 rootn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 infinitea. infinityn. 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, rhombipl., diamond 正方形 square梯形 trapezoid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 centreBrE, centerAmE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, locapl.相似 similar全等 congruent四面体 tetrahedron五面体 pentahedron六面体 hexahedron平行六面体 parallelepiped立方体 cube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内心 incentreBrE, incenterAmE外心 excentreBrE, excenterAmE旁心 escentreBrE, escenterAmE垂心 orthocentreBrE, orthocenterAmE重心 barycentreBrE, barycenterAmE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百分位数 percentile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。
英语数学公式、数字、符号的表达法
英语数学公式、数字、符号的表达法!轩治峰(商丘师范学院外语系商丘市!"#$$$)摘要本文主要解决理科专业英语和双语教学中英语算式、方程式、公式中的数字、符号、等式及公式的表达方法。
方法为查阅各种有关资料,收集其表达和读法。
通过查阅资料,本文记述了算术四则运算、分数、小数、比例、乘方、开方、对数、三角函数、集合、函数、几何、微积分等的符号、数字和公式的表达方法和读法,为科技英语教学和学习提供参考。
关键词数学符号算式公式表达法!"#$%&’$%&’()*(+,’+-.&/,(0(’*/,.+-/12+)..&’’3(*’,,/+1,+-.&’,456+7,,,/81,,0121)56’*,+-50.&’50./9,/1:187/,&.’09&/18;%&’0).&+*&0,8+1’.&*+)8&.&’<0*/+),=/12,+-.’3.6++=,+150.&’> 50./9,,,)9&0,0*/.&5’./9,8’+5’.*4,078’6*0,9079)7),,-)19./+1,012+.&’**’-’*’19’6++=,0129+77’9.’2 077.4(’,+-’3(*’,,/+1,,0,?’770,(*+1)19/0./+1,,+-,456+7,,,/81,0121)56’*,/1.&’’@)0./+1,+-50.&>’50./9,012+.&’*,9/’19’,,/1&+(’+-+--’*/18,+5’&’7(.+7’0*1/18012.’09&/18:187/,&/150.&’50./9,+* ,9/’1./-/9:187/,&;()*+,%-#50.&’50./9,,456+7,012,/81,’@)0./+1,-+*5)70’3(*’,,/+1,在大学中,越来越多的学科在尝试英汉双语教学,高年级大学英语也朝专业英语方向发展,而且,在理科学科中,数学、物理等课程中的算式、方程式以及公式是最基本的表达形式。
常见数学公式和符号的英文读法大全
∵ 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
( 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
’colon’=':’
’quote'='’'
’doublequote'='”'
’backquote'='’’
'tilde’='~’
’backslash’=’\'
’bar'='|'
’comma’=’,'
'less'='〈'
’period'=’.’
'greater’=’>’
’slash'='/’
’question’=’?’
’space’=’ '
 ̄ hyphen 连字符
' apostrophe 省略号;所有格符号
- dash 破折号
‘ ’single quotation marks 单引号
数学英语知识大全
数学英语知识大全以下是数学和英语的知识大全示例:- 数学:- 基本运算:加(add/plus)、减(subtract)、乘(multiply/times)、除(divide)、差(difference)、积(product)、商(quotient)、余数(remainder)、阶乘(factorial)、乘方(power)、根号(radical sign/root sign)、四舍五入(round to)。
- 集合:集(set)、并集(union)、真子集(proper subset)、解集(solution set)、自然数集(the set of all natural numbers)、正整数集(the set of all positive integers)、整数集(the set of all integers)、有理数集(the set of all rational numbers)、实数集(the set of all real numbers)、元素(element)、属于(belong to)、不属于(not belong to)、有限集(finite set)、无限集(infinite set)、空集(empty set)、包含(include)、包含于(lie in)、子集(subset)、真子集(proper subset)、补集(complementary set)、全集(universe)、交集(intersection)、并集(union)、偶数集(the set of all even numbers)、奇数集(the set of all odd numbers)。
- 代数式、方程和不等式:代数项(term)、同类项(like terms, similar terms)、数字系数(numerical coefficient)、字母系数(literal coefficient)、不等式(inequality)、三角不等式(triangle inequality)、值域(range)、原方程(original equation)、同解方程(equivalent equation)、线性方程(linear equation)。
常用数学公式的英语表达[1]
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常用数学公式的英语表述
常用的数学英语表述1.Logic∃there exist∀for allp⇒q p implies q / if p, then qp⇔q p if and only if q /p is equival ent to q / p and q are equival ent 2.Setsx∈A x belongs to A / x is an element (or a member)of Ax∉A x does not belongto A / x is not an element (or a member)of A A⊂B A is contain ed in B / A is a subsetof BA⊃B A contain s B / B is a subsetof AA∩B A cap B / A meet B / A interse ctionBA∪B A cup B / A join B / A union BA\B A minus B / the diferen ce between A and BA×B A cross B / the cartesi an product of A and B3. Real numbersx+1 x plus onex-1 x minus onex±1 x plus or minus onexy xy / x multipl ied by y(x - y)(x + y) x minus y, x plus yx y x over y= the equalssignx = 5 x equals5 / x is equal to 5x≠5x (is) not equal to 5x≡y x is equival ent to (or identic al with) yx≡y x is not equival ent to (or identic al 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≤1zero is less than or equal to x is less than or equal to 1 | x | 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−n x to the (power) minus nx (square) root x / the squareroot of xx 3 cube root (of) xx 4 fourthroot (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factori alx ^ x hatx ¯x barx˜x tildex i xi / x subscri pt i / x suffixi / x sub i∑i=1 n a i the sum from i equalsone to n a i / the sum as i runs from 1 to n of the a i4. Linearalgebra‖x ‖ the norm (or modulus) of xOA→ OA / vectorOAOA ¯ OA / the lengthof the segment OAA T A transpo se / the transpo se of AA −1 A inverse/ the inverse of A5. Functio nsf( x ) fx / f of x / the functio n f of xf:S→T a functio n f from S to Tx→y x maps to y / x is sent (or mapped)to yf'( x ) f prime x / f dash x / the (first) derivat ive of f with respect to xf''( x ) f double-prime x / f double-dash x / the secondderivat ive of f with respect to xf'''( x ) triple-prime x / f triple-dash x / the third derivat ive of f with respect to xf (4) ( x ) f four x / the fourthderivat ive of f with respect to x∂f∂x1 the partial (derivat ive) of f with respect to x1∂2 f∂x1 2 the secondpartial (derivat ive) of f with respect to x1∫0 ∞ the integra l from zero to infinit ylimx→0 the limit as x approac hes zerolimx→0 + the limit as x approac hes zero from abovelimx→0 − the limit as x approac hes zero from belowlog e y log y to the base e / log to the base e of y / natural log (of) y lny log y to the base e / log to the base e of y / natural log (of) y一般词汇数学 mathema tics, maths(BrE), math(AmE)公理axiom定理 theorem计算 calcula tion运算 operati on证明prove假设hypothe sis, hypothe ses(pl.)命题 proposi tion算术 arithme tic加 plus(prep.), add(v.), additio n(n.)被加数 augend, summand加数 addend和sum减 minus(prep.), subtrac t(v.), subtrac tion(n.) 被减数 minuend减数 subtrah end差 remaind er乘times(prep.), multipl y(v.), multipl icatio n(n.) 被乘数 multipl icand, faciend乘数 multipl icator积 product除 divided by(prep.), divide(v.), divisio n(n.) 被除数 dividen d除数 divisor商 quotien t等于 equals, is equal to, is equival ent to大于 is greater than小于 is lesserthan大于等于 is equal or greater than小于等于 is equal or lesserthan运算符 operato r数字digit数 number自然数 natural number整数integer小数 decimal小数点 decimal point分数 fractio n分子 numerat or分母 denomin ator比ratio正 positiv e负 negativ e零 null, zero, nought,nil十进制 decimal system二进制 binarysystem十六进制 hexadec imal system权 weight, signifi cance进位carry截尾 truncat ion四舍五入round下舍入round down上舍入round up有效数字 signifi cant digit无效数字 insigni ficant digit代数 algebra公式 formula, formula e(pl.)单项式 monomia l多项式 polynom ial, multino mial系数 coeffic ient未知数 unknown, x-factor, y-factor, z-factor等式,方程式 equatio n一次方程 simpleequatio n二次方程 quadrat ic equatio n三次方程 cubic equatio n四次方程 quartic equatio n不等式inequat ion阶乘 factori al对数 logarit hm指数,幂 exponen t乘方power二次方,平方 square三次方,立方cube四次方 the power of four, the fourthpower n次方the power of n, the nth power开方 evoluti on, extract ion二次方根,平方根 squareroot三次方根,立方根cube root四次方根 the root of four, the fourthroot n次方根the root of n, the nth root集合 aggrega te元素 element空集void子集 subset交集 interse ction并集union补集 complem ent映射 mapping函数 functio n定义域 domain, field of definit ion值域range常量 constan t变量 variabl e单调性 monoton icity奇偶性 parity周期性 periodi city图象image数列,级数 series微积分 calculu s微分 differe ntial导数 derivat ive极限limit无穷大 infinit e(a.) infinit y(n.) 无穷小 infinit esimal积分 integra l定积分 definit e integra l不定积分 indefin ite integra l 有理数 rationa l number无理数 irratio nal number实数 real number虚数 imagina ry number复数 complex number矩阵 matrix行列式 determi nant几何 geometr y点point线line面plane体solid线段 segment射线 radial平行 paralle l相交 interse ct角angle角度 degree弧度 radian锐角acute angle直角right angle钝角 obtuseangle平角 straigh t angle周角 perigon底base边side高 height三角形 triangl e锐角三角形 acute triangl e直角三角形 right triangl e直角边leg斜边 hypoten use勾股定理 Pythago rean theorem钝角三角形 obtusetriangl e不等边三角形scalene triangl e等腰三角形 isoscel es triangl e等边三角形 equilat eral triangl e四边形 quadril ateral平行四边形 paralle logram矩形 rectang le长 length宽width附:在一个分数里,分子或分母或两者均含有分数。
数学相关英语单词
数学英语词汇大全本文介绍了一些常用的数学英语词汇。
文章旨在帮助读者扩大数学英语词汇量,提高数学英语水平,增进对数学知识的理解和应用。
数学基础词汇数学基础词汇是指一些通用的、与数学有关的英语单词,它们在不同的数学领域都可能出现,也是其他数学英语词汇的基础。
以下是一些常见的数学基础词汇:中文英文数学mathematics, maths (BrE), math (AmE)数字number整数integer分数fraction小数decimal百分数percentage比例ratio比例尺scale指数exponent对数logarithm根号radical平方根square root立方根cube root四次根fourth root无理数irrational number有理数rational number实数real number复数complex number常数constant变量variable参数parameter函数function表达式expression方程式equation不等式inequality等式identity公式formula定理theorem引理lemma推论corollary公理axiom假设hypothesis, assumption, premise, conjecture中文英文结论conclusion, result, outcome, consequence证明proof, demonstration, verification反证法proof by contradiction, reductio ad absurdum数值计算numerical computation, numerical analysis符号计算symbolic computation, computer algebra计算器calculator数量和运算数量和运算是指与数字的大小、顺序、关系、组合、变化等有关的英语单词,它们是最基本的数学概念,也是其他数学知识的基础。
数学基本公式英文版
sin θ tan θ =
cos θ
1 cos θ
cot θ =
=
tan θ sin θ
1 sec θ =
cos θ
1 cosec θ =
sin θ
coin θ
sin2 θ + cos2 θ = 1
(ax + b)n
f ′(x) f (x)
(ax + b)n+1 (n ̸= −1)
a(n + 1)
1 (ax + b)
1 ln |ax + b|
a
ln |f (x)|
1 (ax + b)(cx + d)
1
(ax + b)
ln
(ad − bc ̸= 0)
(ad − bc) (cx + d)
sin (ax)
cos θ − cos ϕ = 2 sin θ + ϕ sin ϕ − θ
2
2
sin 2θ = 2 sin θ cos θ cos 2θ = cos2 θ − sin2 θ = 2 cos2 θ − 1 = 1 − 2 sin2 θ
1
2 Hyperbolic Formulae
ex − e−x sinh x =
1 eax (a cos bx + b sin bx) (a2 + b2)
1
√
(a2x2 − b2)
1
√
(x2 ± a2)
1
ax
arccosh ( )
a
b
{√
}
ln x + (x2 ± a2)