数学英文词汇
数学英语词汇表

数学英语词汇表N一般词汇o数学mathematics, maths(BrE), math(AmE)o公理axiomo定理theoremo计算calculationo运算operationo证明proveo假设hypothesis, hypotheses(pl.)o命题propositionN算术arithmetico加plus(prep.), add(v.), addition(n.)o被加数augend, summando加数addendo和sumo减minus(prep.), subtract(v.), subtraction(n.)o被减数minuendo减数subtrahendo差remaindero乘times(prep.), multiply(v.), multiplication(n.)o被乘数multiplicand, faciendo乘数multiplicatoro积producto除divided by(prep.), divide(v.), division(n.)o被除数dividendo除数divisoro商quotiento等于equals, is equal to, is equivalent too大于is greater thano小于is lesser thano大于等于is equal or greater thano小于等于is equal or lesser thano运算符operatoro数字digito数numbero自然数natural numbero整数integero小数decimalo小数点decimal pointo分数fractiono分子numeratoro分母denominatoro比ratioo正positiveo负negativeo零null, zero, nought, nilo十进制decimal systemo二进制binary systemo十六进制hexadecimal systemo权weight, significanceo进位carryo截尾truncationo四舍五入roundo下舍入round downo上舍入round upo有效数字significant digito无效数字insignificant digitN代数algebrao公式formula, formulae(pl.)o单项式monomialo多项式polynomial, multinomialo系数coefficiento未知数unknown, x-factor, y-factor, z-factoro等式,方程式equationo一次方程simple equationo二次方程quadratic equationo三次方程cubic equationo四次方程quartic equationo不等式inequationo阶乘factorialo对数logarithmo指数,幂exponento乘方powero二次方,平方squareo三次方,立方cubeo四次方the power of four, the fourth powero n次方the power of n, the nth powero开方evolution, extractiono二次方根,平方根square rooto三次方根,立方根cube rooto四次方根the root of four, the fourth rooto n次方根the root of n, the nth rooto集合aggregateo元素elemento空集voido子集subseto交集intersectiono并集uniono补集complemento映射mappingo函数functiono定义域domain, field of definitiono值域rangeo常量constanto变量variableo单调性monotonicityo奇偶性parityo周期性periodicityo图象imageo数列,级数serieso微积分calculuso微分differentialo导数derivativeo极限limito无穷大infinite(a.) infinity(n.)o无穷小infinitesimalo积分integralo定积分definite integralo不定积分indefinite integralo有理数rational numbero无理数irrational numbero实数real numbero虚数imaginary numbero复数complex numbero矩阵matrixo行列式determinantN几何geometryo点pointo线lineo面planeo体solido线段segmento射线radialo平行parallelo相交intersecto角angleo角度degreeo弧度radiano锐角acute angleo直角right angleo钝角obtuse angleo平角straight angleo周角perigono底baseo边sideo高heighto三角形triangleo锐角三角形acute triangleo直角三角形right triangleo直角边lego斜边hypotenuseo勾股定理Pythagorean theoremo钝角三角形obtuse triangleo不等边三角形scalene triangleo等腰三角形isosceles triangleo等边三角形equilateral triangleo四边形quadrilateralo平行四边形parallelogramo矩形rectangleo长lengtho宽widtho菱形rhomb, rhombus, rhombi(pl.), diamond o正方形squareo梯形trapezoido直角梯形right trapezoido等腰梯形isosceles trapezoido五边形pentagono六边形hexagono七边形heptagono八边形octagono九边形enneagono十边形decagono十一边形hendecagono十二边形dodecagono多边形polygono正多边形equilateral polygono圆circleo圆心centre(BrE), center(AmE)o半径radiuso直径diametero圆周率pio弧arco半圆semicircleo扇形sectoro环ringo椭圆ellipseo圆周circumferenceo周长perimetero面积areao轨迹locus, loca(pl.)o相似similaro全等congruento四面体tetrahedrono五面体pentahedrono六面体hexahedrono平行六面体parallelepipedo立方体cubeo七面体heptahedrono八面体octahedrono九面体enneahedrono十面体decahedrono十一面体hendecahedrono十二面体dodecahedrono二十面体icosahedrono多面体polyhedrono棱锥pyramido棱柱prismo棱台frustum of a prismo旋转rotationo轴axiso圆锥coneo圆柱cylindero圆台frustum of a coneo球sphereo半球hemisphereo底面undersurfaceo表面积surface areao体积volumeo空间spaceo坐标系coordinateso坐标轴x-axis, y-axis, z-axiso横坐标x-coordinateo纵坐标y-coordinateo原点origino双曲线hyperbolao抛物线parabolaN三角trigonometryo正弦sineo余弦cosineo正切tangento余切cotangento正割secanto余割cosecanto反正弦arc sineo反余弦arc cosineo反正切arc tangento反余切arc cotangento反正割arc secanto反余割arc cosecanto相位phaseo周期periodo振幅amplitudeo内心incentre(BrE), incenter(AmE)o外心excentre(BrE), excenter(AmE)o旁心escentre(BrE), escenter(AmE)o垂心orthocentre(BrE), orthocenter(AmE)o重心barycentre(BrE), barycenter(AmE)o内切圆inscribed circleo外切圆circumcircleN统计statisticso平均数averageo加权平均数weighted averageo方差varianceo标准差root-mean-square deviation, standard deviationo比例propotiono百分比percento百分点percentageo百分位数percentileo排列permutationo组合combinationo概率,或然率probabilityo分布distributiono正态分布normal distributiono非正态分布abnormal distributiono图表grapho条形统计图bar grapho柱形统计图histogramo折线统计图broken line grapho曲线统计图curve diagramo扇形统计图pie diagram。
英语数学词汇大全3篇

英语数学词汇大全第一篇:基础词汇1. Number 数字2. Addition 加3. Subtraction 减4. Multiplication 乘5. Division 除6. Fraction 分数7. Decimal 小数8. Percentage 百分比9. Equation 方程式10. Variable 变量11. Constant 常数12. Solve 解决13. Graph 图表14. Coordinate 坐标15. Angle 角度16. Geometric figures 几何图形17. Triangle 三角形18. Rectangle 矩形19. Square 正方形20. Circle 圆形第二篇:代数词汇1. Algebra 代数2. Expression 表达式3. Exponent 指数4. Polynomial 多项式5. Equation equation6. Inequality 不等式7. System of equations 方程组8. Variable 变量9. Coefficient 系数10. Function 函数11. Domain 域12. Range 范围13. Linear function 线性函数14. Quadratic function 二次函数15. Cubic function 三次函数16. Rational function 有理函数17. Exponential function 指数函数18. Logarithmic function 对数函数第三篇:几何词汇1. Geometry 几何学2. Point 点3. Line 直线4. Ray 射线5. Segment 线段6. Angle 角度7. Parallel 平行8. Perpendicular 垂直9. Circle 圆形10. Diameter 直径11. Radius 半径12. Chord 弦13. Tangent 切线14. Arc 弧15. Sector 扇形16. Rectangle 矩形17. Square 正方形18. Triangle 三角形19. Equilateral triangle 等边三角形20. Isosceles triangle 等腰三角形21. Scalene triangle 不等边三角形22. Right triangle 直角三角形23. Pythagorean theorem 毕达哥拉斯定理。
数学相关英语词汇

Applying Mathematics and solving problemsAnswer 答案Evidence 证据Explain 解释Explore 探测、探险Investigate 调查、研究Method 做法、Problem 问题、习题Reason, reasons 原因、理由Results 结果Solution (of a problem) 解决办法Solve 解决True, false 正;反Numbers and the number systemPlace value, ordering and roundingApproximate, approximately 近似的、大约Approximately equal to 大约等于Between 在···之间Compare 比较、对比Decimal number小数Decimal place 小数位Equals (=) 等于Greater than, less than 大于;小于Greatest value, least value 最大值;最小值Most/least significant digit最高/低位,最高/低有效位数字Nearest 最近的Order 序、次序Place value 位值Round 舍入值舍入到指定的小数位数Tenth, hundredth, thousandth 小数一位;二位;三位To one decimal place (to 1 d.p.) 到小数一位Value 值Zero place holder 零位Integers, powers and rootsClassify 分类Common factor 公因子、公因数Consecutive 连续的Divisible, divisibility 可整除Divisor 除数Factor 因子精品文库Factorise 因子分解Highest common factor (HCF) 最高公因子Integer 整数Lowest common multiple (LCM) 最小公倍数Multiple 倍数Negative 负Positive 正Prime 素Prime factor 质因、质因素Property 性质Sign 符号、记号Square number, squared 正方形数、平方数Square root 平方根、二次根Triangular number 三角形数Fractions, decimals, percentages, ratio and proportionCancel, cancellation 消法、相消Convert 换算Decimal fraction 十进小数Equivalent, equivalence 等价(的)Fraction 分数、分式Lowest terms 最小项Mixed number 带分数Numerator, denominator 分子;分母Percentage 百分法、百分数Proper/improper fraction 真分数;假分数Proportion 比例Ratio, notation 3:2 比、比率Simplest form 最简单形式最后一道题是将一方程式化简为最简单形式。
(完整版)数学英文词汇大全

微积分第一章函数与极限Chapter1 Function and Limit集合set元素element子集subset空集empty set并集union交集intersection差集difference of set基本集basic set补集complement set直积direct product笛卡儿积Cartesian product开区间open interval闭区间closed interval半开区间half open interval有限区间finite interval区间的长度length of an interval无限区间infinite interval领域neighborhood领域的中心centre of a neighborhood领域的半径radius of a neighborhood左领域left neighborhood右领域right neighborhood映射mappingX到Y的映射mapping of X ontoY满射surjection单射injection一一映射one-to-one mapping双射bijection算子operator变化transformation函数function逆映射inverse mapping复合映射composite mapping自变量independent variable因变量dependent variable定义域domain函数值value of function函数关系function relation值域range自然定义域natural domain单值函数single valued function多值函数multiple valued function单值分支one-valued branch函数图形graph of a function绝对值函数absolute value符号函数sigh function整数部分integral part阶梯曲线step curve当且仅当if and only if(iff)分段函数piecewise function上界upper bound下界lower bound有界boundedness无界unbounded函数的单调性monotonicity of a function 单调增加的increasing单调减少的decreasing单调函数monotone function函数的奇偶性parity(odevity) of a function 对称symmetry偶函数even function奇函数odd function函数的周期性periodicity of a function周期period反函数inverse function直接函数direct function复合函数composite function中间变量intermediate variable函数的运算operation of function基本初等函数basic elementary function 初等函数elementary function幂函数power function指数函数exponential function对数函数logarithmic function三角函数trigonometric function反三角函数inverse trigonometric function 常数函数constant function双曲函数hyperbolic function双曲正弦hyperbolic sine双曲余弦hyperbolic cosine双曲正切hyperbolic tangent反双曲正弦inverse hyperbolic sine反双曲余弦inverse hyperbolic cosine反双曲正切inverse hyperbolic tangent极限limit数列sequence of number收敛convergence收敛于a converge to a发散divergent极限的唯一性uniqueness of limits收敛数列的有界性boundedness of a convergent sequence子列subsequence函数的极限limits of functions函数当x趋于x0时的极限limit of functions as x approaches x0 左极限left limit右极限right limit单侧极限one-sided limits水平渐近线horizontal asymptote无穷小infinitesimal无穷大infinity铅直渐近线vertical asymptote夹逼准则squeeze rule单调数列monotonic sequence高阶无穷小infinitesimal of higher order低阶无穷小infinitesimal of lower order同阶无穷小infinitesimal of the same order--------------------------------------------------------------------------------2 高等数学-翻译等阶无穷小equivalent infinitesimal函数的连续性continuity of a function增量increment函数在x0连续the function is continuous at x0左连续left continuous右连续right continuous区间上的连续函数continuous function函数在该区间上连续function is continuous on an interval不连续点discontinuity point第一类间断点discontinuity point of the first kind第二类间断点discontinuity point of the second kind初等函数的连续性continuity of the elementary functions定义区间defined interval最大值global maximum value (absolute maximum)最小值global minimum value (absolute minimum)零点定理the zero point theorem介值定理intermediate value theorem第二章导数与微分Chapter2 Derivative and Differential速度velocity匀速运动uniform motion平均速度average velocity瞬时速度instantaneous velocity圆的切线tangent line of a circle切线tangent line切线的斜率slope of the tangent line位置函数position function导数derivative可导derivable函数的变化率问题problem of the change rate of a function导函数derived function左导数left-hand derivative右导数right-hand derivative单侧导数one-sided derivatives在闭区间【a,b】上可导is derivable on the closed interval [a,b]切线方程tangent equation角速度angular velocity成本函数cost function边际成本marginal cost链式法则chain rule隐函数implicit function显函数explicit function二阶函数second derivative三阶导数third derivative高阶导数nth derivative莱布尼茨公式Leibniz formula对数求导法log- derivative参数方程parametric equation相关变化率correlative change rata微分differential可微的differentiable函数的微分differential of function自变量的微分differential of independent variable微商differential quotient间接测量误差indirect measurement error绝对误差absolute error相对误差relative error第三章微分中值定理与导数的应用Chapter3 MeanValue Theorem of Differentials and the Application of Derivatives 罗马定理Rolle’s theorem费马引理Fermat’s lemma拉格朗日中值定理Lagrange’s mean value theorem驻点stationary point稳定点stable point临界点critical point辅助函数auxiliary function拉格朗日中值公式Lagrange’s mean value formula柯西中值定理Cauchy’s mean value theorem洛必达法则L’Hospital’s Rule0/0型不定式indeterminate form of type 0/0不定式indeterminate form泰勒中值定理Taylor’s mean value theorem泰勒公式Taylor formula余项remainder term拉格朗日余项Lagrange remainder term麦克劳林公式Maclaurin’s formula佩亚诺公式Peano remainder term凹凸性concavity凹向上的concave upward, cancave up凹向下的,向上凸的concave downward’concave down 拐点inflection point函数的极值extremum of function极大值local(relative) maximum最大值global(absolute) mximum极小值local(relative) minimum最小值global(absolute) minimum目标函数objective function曲率curvature弧微分arc differential平均曲率average curvature曲率园circle of curvature曲率中心center of curvature曲率半径radius of curvature渐屈线evolute渐伸线involute根的隔离isolation of root隔离区间isolation interval切线法tangent line method第四章不定积分Chapter4 Indefinite Integrals原函数primitive function(antiderivative)积分号sign of integration被积函数integrand积分变量integral variable积分曲线integral curve积分表table of integrals换元积分法integration by substitution分部积分法integration by parts分部积分公式formula of integration by parts有理函数rational function真分式proper fraction假分式improper fraction第五章定积分Chapter5 Definite Integrals曲边梯形trapezoid with曲边curve edge窄矩形narrow rectangle曲边梯形的面积area of trapezoid with curved edge积分下限lower limit of integral积分上限upper limit of integral积分区间integral interval分割partition积分和integral sum可积integrable矩形法rectangle method积分中值定理mean value theorem of integrals函数在区间上的平均值average value of a function on an integvals 牛顿-莱布尼茨公式Newton-Leibniz formula微积分基本公式fundamental formula of calculus换元公式formula for integration by substitution递推公式recurrence formula反常积分improper integral反常积分发散the improper integral is divergent反常积分收敛the improper integral is convergent无穷限的反常积分improper integral on an infinite interval无界函数的反常积分improper integral of unbounded functions绝对收敛absolutely convergent第六章定积分的应用Chapter6 Applications of the Definite Integrals元素法the element method面积元素element of area平面图形的面积area of a luane figure直角坐标又称“笛卡儿坐标(Cartesian coordinates)”极坐标polar coordinates抛物线parabola椭圆ellipse旋转体的面积volume of a solid of rotation旋转椭球体ellipsoid of revolution, ellipsoid of rotation曲线的弧长arc length of acurve可求长的rectifiable光滑smooth功work水压力water pressure引力gravitation变力variable force第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry and Vector Algebra向量vector自由向量free vector单位向量unit vector零向量zero vector相等equal平行parallel向量的线性运算linear poeration of vector三角法则triangle rule平行四边形法则parallelogram rule交换律commutative law结合律associative law负向量negative vector差difference分配律distributive law空间直角坐标系space rectangular coordinates坐标面coordinate plane卦限octant向量的模modulus of vector向量a与b的夹角angle between vector a and b方向余弦direction cosine方向角direction angle向量在轴上的投影projection of a vector onto an axis数量积,外积,叉积scalar product,dot product,inner product 曲面方程equation for a surface球面sphere旋转曲面surface of revolution母线generating line轴axis圆锥面cone顶点vertex旋转单叶双曲面revolution hyperboloids of one sheet旋转双叶双曲面revolution hyperboloids of two sheets柱面cylindrical surface ,cylinder圆柱面cylindrical surface准线directrix抛物柱面parabolic cylinder二次曲面quadric surface椭圆锥面dlliptic cone椭球面ellipsoid单叶双曲面hyperboloid of one sheet双叶双曲面hyperboloid of two sheets旋转椭球面ellipsoid of revolution椭圆抛物面elliptic paraboloid旋转抛物面paraboloid of revolution双曲抛物面hyperbolic paraboloid马鞍面saddle surface椭圆柱面elliptic cylinder双曲柱面hyperbolic cylinder抛物柱面parabolic cylinder空间曲线space curve空间曲线的一般方程general form equations of a space curve 空间曲线的参数方程parametric equations of a space curve 螺转线spiral螺矩pitch投影柱面projecting cylinder投影projection平面的点法式方程pointnorm form eqyation of a plane法向量normal vector平面的一般方程general form equation of a plane两平面的夹角angle between two planes点到平面的距离distance from a point to a plane空间直线的一般方程general equation of a line in space方向向量direction vector直线的点向式方程pointdirection form equations of a line方向数direction number直线的参数方程parametric equations of a line两直线的夹角angle between two lines垂直perpendicular直线与平面的夹角angle between a line and a planes平面束pencil of planes平面束的方程equation of a pencil of planes行列式determinant系数行列式coefficient determinant第八章多元函数微分法及其应用Chapter8 Differentiation of Functions of Several Variables and Its Application 一元函数function of one variable多元函数function of several variables内点interior point外点exterior point边界点frontier point,boundary point聚点point of accumulation开集openset闭集closed set连通集connected set开区域open region闭区域closed region有界集bounded set无界集unbounded setn维空间n-dimentional space二重极限double limit多元函数的连续性continuity of function of seveal连续函数continuous function不连续点discontinuity point一致连续uniformly continuous偏导数partial derivative对自变量x的偏导数partial derivative with respect to independent variable x高阶偏导数partial derivative of higher order二阶偏导数second order partial derivative混合偏导数hybrid partial derivative全微分total differential偏增量oartial increment偏微分partial differential全增量total increment可微分differentiable必要条件necessary condition充分条件sufficient condition叠加原理superpostition principle全导数total derivative中间变量intermediate variable隐函数存在定理theorem of the existence of implicit function曲线的切向量tangent vector of a curve法平面normal plane向量方程vector equation向量值函数vector-valued function切平面tangent plane法线normal line方向导数directional derivative梯度gradient数量场scalar field梯度场gradient field向量场vector field势场potential field引力场gravitational field引力势gravitational potential曲面在一点的切平面tangent plane to a surface at a point曲线在一点的法线normal line to a surface at a point无条件极值unconditional extreme values条件极值conditional extreme values拉格朗日乘数法Lagrange multiplier method拉格朗日乘子Lagrange multiplier经验公式empirical formula最小二乘法method of least squares均方误差mean square error第九章重积分Chapter9 Multiple Integrals二重积分double integral可加性additivity累次积分iterated integral体积元素volume element三重积分triple integral直角坐标系中的体积元素volume element in rectangular coordinate system 柱面坐标cylindrical coordinates柱面坐标系中的体积元素volume element in cylindrical coordinate system 球面坐标spherical coordinates球面坐标系中的体积元素volume element in spherical coordinate system 反常二重积分improper double integral曲面的面积area of a surface质心centre of mass静矩static moment密度density形心centroid转动惯量moment of inertia参变量parametric variable第十章曲线积分与曲面积分Chapter10 Line(Curve)Integrals and Surface Integrals对弧长的曲线积分line integrals with respect to arc hength第一类曲线积分line integrals of the first type对坐标的曲线积分line integrals with respect to x,y,and z第二类曲线积分line integrals of the second type有向曲线弧directed arc单连通区域simple connected region复连通区域complex connected region格林公式Green formula第一类曲面积分surface integrals of the first type对面的曲面积分surface integrals with respect to area有向曲面directed surface对坐标的曲面积分surface integrals with respect to coordinate elements第二类曲面积分surface integrals of the second type有向曲面元element of directed surface高斯公式gauss formula拉普拉斯算子Laplace operator格林第一公式Green’s first formula通量flux散度divergence斯托克斯公式Stokes formula环流量circulation旋度rotation,curl第十一章无穷级数Chapter11 Infinite Series一般项general term部分和partial sum余项remainder term等比级数geometric series几何级数geometric series公比common ratio调和级数harmonic series柯西收敛准则Cauchy convergence criteria, Cauchy criteria for convergence 正项级数series of positive terms达朗贝尔判别法D’Alembert test柯西判别法Cauchy test交错级数alternating series绝对收敛absolutely convergent条件收敛conditionally convergent柯西乘积Cauchy product函数项级数series of functions发散点point of divergence收敛点point of convergence收敛域convergence domain和函数sum function幂级数power series幂级数的系数coeffcients of power series阿贝尔定理Abel Theorem收敛半径radius of convergence收敛区间interval of convergence泰勒级数Taylor series麦克劳林级数Maclaurin series二项展开式binomial expansion近似计算approximate calculation舍入误差round-off error,rounding error欧拉公式Euler’s formula魏尔斯特拉丝判别法Weierstrass test三角级数trigonometric series振幅amplitude角频率angular frequency初相initial phase矩形波square wave谐波分析harmonic analysis直流分量direct component基波fundamental wave二次谐波second harmonic三角函数系trigonometric function system傅立叶系数Fourier coefficient傅立叶级数Forrier series周期延拓periodic prolongation正弦级数sine series余弦级数cosine series奇延拓odd prolongation偶延拓even prolongation傅立叶级数的复数形式complex form of Fourier series第十二章微分方程Chapter12 Differential Equation解微分方程solve a dirrerential equation常微分方程ordinary differential equation偏微分方程partial differential equation,PDE微分方程的阶order of a differential equation微分方程的解solution of a differential equation微分方程的通解general solution of a differential equation初始条件initial condition微分方程的特解particular solution of a differential equation初值问题initial value problem微分方程的积分曲线integral curve of a differential equation 可分离变量的微分方程variable separable differential equation 隐式解implicit solution隐式通解inplicit general solution衰变系数decay coefficient衰变decay齐次方程homogeneous equation一阶线性方程linear differential equation of first order非齐次non-homogeneous齐次线性方程homogeneous linear equation非齐次线性方程non-homogeneous linear equation常数变易法method of variation of constant暂态电流transient stata current稳态电流steady state current伯努利方程Bernoulli equation全微分方程total differential equation积分因子integrating factor高阶微分方程differential equation of higher order悬链线catenary高阶线性微分方程linera differential equation of higher order自由振动的微分方程differential equation of free vibration强迫振动的微分方程differential equation of forced oscillation串联电路的振荡方程oscillation equation of series circuit二阶线性微分方程second order linera differential equation线性相关linearly dependence线性无关linearly independce二阶常系数齐次线性微分方程second order homogeneour linear differential equation with constant coefficient二阶变系数齐次线性微分方程second order homogeneous linear differential equation with variable coefficient特征方程characteristic equation无阻尼自由振动的微分方程differential equation of free vibration with zero damping固有频率natural frequency简谐振动simple harmonic oscillation,simple harmonic vibration微分算子differential operator待定系数法method of undetermined coefficient共振现象resonance phenomenon欧拉方程Euler equation幂级数解法power series solution数值解法numerial solution勒让德方程Legendre equation微分方程组system of differential equations常系数线性微分方程组system of linera differential equations with constant coefficient线性代数Aadjont(adjugate) of matrix A A 的伴随矩阵augmented matrix A 的增广矩阵Bblock diagonal matrix 块对角矩阵block matrix 块矩阵basic solution set 基础解系CCauchy-Schwarz inequality 柯西-许瓦兹不等式characteristic equation 特征方程characteristic polynomial 特征多项式coffcient matrix 系数矩阵cofactor 代数余子式cofactor expansion 代数余子式展开column vector 列向量commuting matrices 交换矩阵consistent linear system 相容线性方程组Cramer’s rule 克莱姆法则Cross- product term 交叉项DDeterminant 行列式Diagonal entries 对角元素Diagonal matrix 对角矩阵Dimension of a vector space V 向量空间V的维数Eechelon matrix 梯形矩阵eigenspace 特征空间eigenvalue 特征值eigenvector 特征向量eigenvector basis 特征向量的基elementary matrix 初等矩阵elementary row operations 行初等变换Ffull rank 满秩fundermental set of solution 基础解系G[center]grneral solution 通解Gram-Schmidt process 施密特正交化过程Hhomogeneous linear equations 齐次线性方程组Iidentity matrix 单位矩阵inconsistent linear system 不相容线性方程组indefinite matrix 不定矩阵indefinit quatratic form 不定二次型infinite-dimensional space 无限维空间inner product 内积inverse of matrix A 逆矩阵Llinear combination 线性组合linearly dependent 线性相关linearly independent 线性无关linear transformation 线性变换lower triangular matrix 下三角形矩阵Mmain diagonal of matrix A 矩阵的主对角matrix 矩阵[center]negative definite quaratic form 负定二次型negative semidefinite quadratic form 半负定二次型nonhomogeneous equations 非齐次线性方程组nonsigular matrix 非奇异矩阵nontrivial solution 非平凡解norm of vector V 向量V的范数normalizing vector V 规范化向量Oorthogonal basis 正交基orthogonal complement 正交补orthogonal decomposition 正交分解orthogonally diagonalizable matrix 矩阵的正交对角化orthogonal matrix 正交矩阵orthogonal set 正交向量组orthonormal basis 规范正交基orthonomal set 规范正交向量组[b]Ppartitioned matrix 分块矩阵positive definite matrix 正定矩阵positive definite quatratic form 正定二次型positive semidefinite matrix 半正定矩阵positive semidefinite quadratic form 半正定二次型Qquatratic form 二次型[center]R[/center]rank of matrix A 矩阵A的秩r(A) reduced echelon matrix 最简梯形阵row vector 行向量Sset spanned by { } 由向量{ }所生成similar matrices 相似矩阵similarity transformation 相似变换singular matrix 奇异矩阵solution set 解集合standard basis 标准基standard matrix 标准矩阵Isubmatrix 子矩阵subspace 子空间symmetric matrix 对称矩阵Ttrace of matrix A 矩阵A 的迹tr(A)transpose of A 矩阵A的转秩triangle inequlity 三角不等式trivial solution 平凡解Uunit vector 单位向量upper triangular matrix 上三角形矩阵Vvandermonde matrix 范得蒙矩阵vector 向量vector space 向量空间Zzero subspace 零子空间zero vector 零空间(本文已被浏览133 次)概率统计概率论与数理统计词汇英汉对照表Aabsolute value 绝对值accept 接受acceptable region 接受域additivity 可加性adjusted 调整的alternative hypothesis 对立假设analysis 分析analysis of covariance 协方差分析analysis of variance 方差分析arithmetic mean 算术平均值association 相关性assumption 假设assumption checking 假设检验availability 有效度average 均值Bbalanced 平衡的band 带宽bar chart 条形图beta-distribution 贝塔分布between groups 组间的bias 偏倚binomial distribution 二项分布binomial test 二项检验Ccalculate 计算case 个案category 类别center of gravity 重心central tendency 中心趋势chi-square distribution 卡方分布chi-square test 卡方检验classify 分类cluster analysis 聚类分析coefficient 系数coefficient of correlation 相关系数collinearity 共线性column 列compare 比较comparison 对照components 构成,分量compound 复合的confidence interval 置信区间consistency 一致性constant 常数continuous variable 连续变量control charts 控制图correlation 相关covariance 协方差covariance matrix 协方差矩阵critical point 临界点critical value 临界值crosstab 列联表cubic 三次的,立方的cubic term 三次项cumulative distribution function 累加分布函数curve estimation 曲线估计Ddata 数据default 默认的definition 定义deleted residual 剔除残差density function 密度函数dependent variable 因变量description 描述design of experiment 试验设计deviations 差异df.(degree of freedom) 自由度diagnostic 诊断dimension 维discrete variable 离散变量discriminant function 判别函数discriminatory analysis 判别分析distance 距离distribution 分布D-optimal design D-优化设计Eeaqual 相等effects of interaction 交互效应efficiency 有效性eigenvalue 特征值equal size 等含量equation 方程error 误差estimate 估计estimation of parameters 参数估计estimations 估计量evaluate 衡量exact value 精确值expectation 期望expected value 期望值exponential 指数的exponential distributon 指数分布extreme value 极值Ffactor 因素,因子factor analysis 因子分析factor score 因子得分factorial designs 析因设计factorial experiment 析因试验fit 拟合fitted line 拟合线fitted value 拟合值fixed model 固定模型fixed variable 固定变量fractional factorial design 部分析因设计frequency 频数F-test F检验full factorial design 完全析因设计function 函数Ggamma distribution 伽玛分布geometric mean 几何均值group 组Hharmomic mean 调和均值heterogeneity 不齐性histogram 直方图homogeneity 齐性homogeneity of variance 方差齐性hypothesis 假设hypothesis test 假设检验Iindependence 独立independent variable 自变量independent-samples 独立样本index 指数index of correlation 相关指数interaction 交互作用interclass correlation 组内相关interval estimate 区间估计intraclass correlation 组间相关inverse 倒数的iterate 迭代Kkernal 核Kolmogorov-Smirnov test柯尔莫哥洛夫-斯米诺夫检验kurtosis 峰度Llarge sample problem 大样本问题layer 层least-significant difference 最小显著差数least-square estimation 最小二乘估计least-square method 最小二乘法level 水平level of significance 显著性水平leverage value 中心化杠杆值life 寿命life test 寿命试验likelihood function 似然函数likelihood ratio test 似然比检验linear 线性的linear estimator 线性估计linear model 线性模型linear regression 线性回归linear relation 线性关系linear term 线性项logarithmic 对数的logarithms 对数logistic 逻辑的lost function 损失函数Mmain effect 主效应matrix 矩阵maximum 最大值maximum likelihood estimation 极大似然估计mean squared deviation(MSD) 均方差mean sum of square 均方和measure 衡量media 中位数M-estimator M估计minimum 最小值missing values 缺失值mixed model 混合模型mode 众数model 模型Monte Carle method 蒙特卡罗法moving average 移动平均值multicollinearity 多元共线性multiple comparison 多重比较multiple correlation 多重相关multiple correlation coefficient 复相关系数multiple correlation coefficient 多元相关系数multiple regression analysis 多元回归分析multiple regression equation 多元回归方程multiple response 多响应multivariate analysis 多元分析Nnegative relationship 负相关nonadditively 不可加性nonlinear 非线性nonlinear regression 非线性回归noparametric tests 非参数检验normal distribution 正态分布null hypothesis 零假设number of cases 个案数Oone-sample 单样本one-tailed test 单侧检验one-way ANOV A 单向方差分析one-way classification 单向分类optimal 优化的optimum allocation 最优配制order 排序order statistics 次序统计量origin 原点orthogonal 正交的outliers 异常值Ppaired observations 成对观测数据paired-sample 成对样本parameter 参数parameter estimation 参数估计partial correlation 偏相关partial correlation coefficient 偏相关系数partial regression coefficient 偏回归系数percent 百分数percentiles 百分位数pie chart 饼图point estimate 点估计poisson distribution 泊松分布polynomial curve 多项式曲线polynomial regression 多项式回归polynomials 多项式positive relationship 正相关power 幂P-P plot P-P概率图predict 预测predicted value 预测值prediction intervals 预测区间principal component analysis 主成分分析proability 概率probability density function 概率密度函数probit analysis 概率分析proportion 比例Qqadratic 二次的Q-Q plot Q-Q概率图quadratic term 二次项quality control 质量控制quantitative 数量的,度量的quartiles 四分位数Rrandom 随机的random number 随机数random number 随机数random sampling 随机取样random seed 随机数种子random variable 随机变量randomization 随机化range 极差rank 秩rank correlation 秩相关rank statistic 秩统计量regression analysis 回归分析regression coefficient 回归系数regression line 回归线reject 拒绝rejection region 拒绝域relationship 关系reliability 可靠性repeated 重复的report 报告,报表residual 残差residual sum of squares 剩余平方和response 响应risk function 风险函数robustness 稳健性root mean square 标准差row 行run 游程run test 游程检验Ssample 样本sample size 样本容量sample space 样本空间sampling 取样sampling inspection 抽样检验scatter chart 散点图S-curve S形曲线separately 单独地sets 集合sign test 符号检验significance 显著性significance level 显著性水平significance testing 显著性检验significant 显著的,有效的significant digits 有效数字skewed distribution 偏态分布skewness 偏度small sample problem 小样本问题smooth 平滑sort 排序soruces of variation 方差来源space 空间spread 扩展square 平方standard deviation 标准离差standard error of mean 均值的标准误差standardization 标准化standardize 标准化statistic 统计量statistical quality control 统计质量控制std. residual 标准残差stepwise regression analysis 逐步回归stimulus 刺激strong assumption 强假设stud. deleted residual 学生化剔除残差stud. residual 学生化残差subsamples 次级样本sufficient statistic 充分统计量sum 和sum of squares 平方和summary 概括,综述Ttable 表t-distribution t分布test 检验test criterion 检验判据test for linearity 线性检验test of goodness of fit 拟合优度检验test of homogeneity 齐性检验test of independence 独立性检验test rules 检验法则test statistics 检验统计量testing function 检验函数time series 时间序列tolerance limits 容许限total 总共,和transformation 转换treatment 处理trimmed mean 截尾均值true value 真值t-test t检验two-tailed test 双侧检验Uunbalanced 不平衡的unbiased estimation 无偏估计unbiasedness 无偏性uniform distribution 均匀分布Vvalue of estimator 估计值variable 变量variance 方差variance components 方差分量variance ratio 方差比various 不同的vector 向量Wweight 加权,权重weighted average 加权平均值within groups 组内的ZZ score Z分数。
数学常用英文词汇

一、基本图形三角形:triangle矩形:rectangle正方形:square平行四边形:parallelogram梯形:tapezoid菱形:rhombus圆:circle四边形:quadrilateral二、基本立体图形正方体:cube长方体:rectangular prism圆柱体:right circular cyclinder 圆锥体:right circular cone球体:sphere三、基本计算量长度:length面积:area体积(容积):volume周长:perimeter表面积:surface area底面积:base area四、有关集合union 并集proper subset 真子集solution set 解集五、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irrational(number)无理数inverse 倒数composite number 合数eg. 4,6,8,9,10,12,14,15……prime number 质数 ,3,5,7,11,13,15……reciprocal 倒数common divisor 公约数multiple 倍数(last)common multiple (最小)公约数(prime)factor (质)因子ordinary csale,decimal scale 十进制nonnegative 非负的tens 十位units 个位mode 众数median 中数common ratio 公比六、数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列七、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combination 组合table 表格trigonometric function 三角函数unit 单位,位八、其它几何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 section 横截面center of a circle 圆心chord 弦radius 半径angle bisector 角平分器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 多边的基本数学词汇:加:plus / and / positive减:minus / negative / subtract 差:difference乘:multiplied by / times乘方:power积:product除:divided bydivisible 可被整除的dividedevenly 被整除dividend 被除数商:quotient余数:remainder阶乘:factorial等于:equal不等于:not equal to大于:greater than小于:less than大于等于:equal or greater than小于等于:equal or less than约等于:approximate equalround to / to the nearest 四舍五入因为:because所以:therefore开平方:square root of开立方:cube root ofradical sign,root sign 根号绝对值:the absolute value函数:function图形:figure角:angle直角:right angle锐角:acute angle对折:fold分数:fractionX-轴:X-axesY-轴:Y-axes 其它sequence 次序geometric 几何的integer 整数ratio 比例positive 正的tangent 切线(也是正切tan)radius / radii 半径inequality 不等式vertex 顶点range 值域like terms,similar terms 同类项original equation 原方程(least)common denominator (最小)公约数arithmetic mean 算术平均数weighted average 加权平均值exponent 指数,幂variable 变量inverse function 反函数factorization 因式分解dozen 打(12个)score 廿(20个)quart 夸脱gallon 加仑(1 gallon = 4 quart)。
英语数学词汇大全

anti-logarithm逆对数;反对数
anti-symmetric反对称
apex顶点
approach接近;趋近
approximatevalue近似值
approximation近似;略计;逼近
Arabicsystem 阿刺伯数字系统
converse逆(定理)
conversetheorem 逆定理
conversion转换
convex凸
convexpolygon 凸多边形
coordinate坐标
coordinate geometry解析几何;坐标几何coordinatesystem坐标系系定理;系;推论correct to 准确至;取值至
complexroot 复数根
composite number复合数;合成数compoundbarchart 综合棒形图compounddiscount 复折扣compoundinterest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
class boundary组界
class interval组区间;组距
classlimit组限;区限
classmark组中点;区中点
classification 分类
clnometer测斜仪
clockwisedirction顺时针方向
closedconvex region 闭凸区域
closedinterval 闭区间
baseangle 底角
basearea 底面
baseline底线
数学常用英语词汇

一、基本图形三角形:triangle 矩形:rectangle 正方形:square 平行四边形:parallelogram 梯形:tapezoid 菱形:rhombus 圆:circle 四边形:quadrilateral 二、基本立体图形正方体:cube 长方体:rectangular prism 圆柱体:right circular cyclinder 圆锥体:right circular cone 球体:sphere 三、基本计算量长度:length 面积:area 体积(容积):volume 周长:perimeter 表面积:surface area 底面积:base area 四、有关集合union 并集proper subset 真子集solution set 解集五、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irrational(number)无理数inverse 倒数composite number 合数eg. 4,6,8,9,10,12,14,15……prime number 质数eg.2,3,5,7,11,13,15……reciprocal 倒数common divisor 公约数multiple 倍数(last)common multiple (最小)公约数(prime)factor (质)因子ordinary csale,decimal scale 十进制nonnegative 非负的tens 十位units 个位mode 众数median 中数common ratio 公比六、数列arithmetic progression (sequence)等差数列geometric progression(sequence)等比数列七、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combination 组合table 表格trigonometric function 三角函数unit 单位,位八、其它几何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 section 横截面center of a circle 圆心chord 弦radius 半径angle bisector 角平分器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 多边的基本数学词汇:加:plus / and / positive 减:minus / negative / subtract 差:difference 乘:multiplied by / times 乘方:power 积:product 除:divided by divisible 可被整除的dividedevenly 被整除dividend 被除数商:quotient 余数:remainder 阶乘:factorial 等于:equal 不等于:not equal to 大于:greater than 小于:less than 大于等于:equal or greater than 小于等于:equal or less than 约等于:approximate equal round to / to the nearest 四舍五入因为:because 所以:therefore 开平方:square root of 开立方:cube root of radical sign,root sign 根号绝对值:the absolute value 函数:function 图形:figure 角:angle 直角:right angle 锐角:acute angle 对折:fold 分数:fraction X-轴:X-axes Y-轴:Y-axes 其它sequence 次序geometric 几何的integer 整数ratio 比例英语奥数题1、Did you know? In the decimal number system (base 10) ten different digits, 0 to 9, are used to write all the numbers. In the binary number system (base 2) two different digits are used, i.e. 0 and 1. Which one of the following numbers is not a valid number in the octal number system (base 8)? A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon with twenty sides (cosign) is_____.3、If a and b are integers, 10@3=1,152@7=3and then 379@6 is equal to_____.4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____.5、The greatest number of Mondays which can occur in 45 consecutive days is____6、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.7、Three girls A, B and C run in a 100 m race. When A finishes, B is 10 m behind A and when B finishes C is 20 m behind B. How far in metres was C from A when A finished?(Let’s assume all the athletes run at a constant speed)8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.Thevolume of the box in cm3 is____.9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three? [Remember the weights may be placed on either side]参考答案:1、A 考察我们学过的简单的进制问题,显然8进制中没有8出现2、170 找规律,公式为n×(n-3)÷23、1 定义新运算,就是求379÷6的余数。
关于数学的英文词汇

关于数学的英文词汇一、基础数学运算相关词汇。
1. add(动词)[æd]- 释义:加,增加。
例如:Add 2 and 3.(把2和3相加。
)2. subtract(动词)[səbˈtrækt]- 释义:减,减去。
例如:Subtract 5 from 8.(从8中减去5。
)3. multiply(动词)[ˈmʌltɪplaɪ]- 释义:乘,使相乘。
例如:Multiply 4 by 3.(4乘以3。
)4. divide(动词)[dɪˈvaɪd]- 释义:除,划分。
例如:Divide 10 by 2.(10除以2。
)5. sum(名词)[sʌm]- 释义:总和,总数。
例如:The sum of 3 and 4 is 7.(3和4的总和是7。
)6. difference(名词)[ˈdɪfrəns]- 释义:差,差额。
例如:The difference between 8 and 3 is 5.(8和3之间的差额是5。
)7. product(名词)[ˈprɒdʌkt]- 释义:乘积。
例如:The product of 2 and 5 is 10.(2和5的乘积是10。
)8. quotient(名词)[ˈkwəʊʃnt]- 释义:商。
例如:When 10 is divided by 2, the quotient is 5.(当10被2除时,商是5。
)二、数字相关词汇。
1. zero(名词)[ˈzɪərəʊ] - 释义:零。
2. one(名词)[wʌn]- 释义:一。
3. two(名词)[tuː]- 释义:二。
4. three(名词)[θriː]- 释义:三。
5. four(名词)[fɔː(r)]- 释义:四。
6. five(名词)[faɪv]- 释义:五。
7. six(名词)[sɪks]- 释义:六。
8. seven(名词)[ˈsevn]- 释义:七。
9. eight(名词)[eɪt]- 释义:八。
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代数部分1.有关基本运算: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=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|=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real number, rational number实数,有理数irrational(number)无理数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……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 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 equalto, 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naturalnumber整数integer小数点decimalpoint分数fraction分子numerator分母denominator比ratio正positive负negative零null, zero, nought, nil十进制decimalsystem二进制binary system十六进制hexadecimalsystem 权weight, significance进位carry截尾truncation四舍五入round下舍入rounddown上舍入roundup有效数字significant digit无效数字insignificantdigit代数algebra公式formula,formulae(pl.)单项式monomial多项式polynomial, multinomial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thepowerof four, thefourth power n 次方thepowerof n, the nthpower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theroot of n, the nth root集合aggregate元素element空集void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无理数irrationalnumber 实数realnumber虚数imaginarynumber 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rightangle钝角obtuseangle平角straight angle周角perigon边side高height三角形triangle锐角三角形acute triangle直角三角形righttriangle直角边leg斜边hypotenuse勾股定理Pythagorean theorem钝角三角形obtusetriangle不等边三角形scalenetriangle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直角梯形righttrapezoid等腰梯形isosceles trapezoid五边形pentagon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(BrE), center(AmE) 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表面积surfacearea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周期period振幅amplitude内心incentre(BrE), incenter(AmE)外心excentre(BrE),excenter(AmE)旁心escentre(BrE), escenter(AmE)垂心orthocentre(BrE), orthocenter(AmE)重心barycentre(BrE), barycenter(AmE)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图表graph条形统计图bar graph柱形统计图histogram折线统计图broken linegraph 曲线统计图curve diagram 扇形统计图piediagram其他数学词汇:mathematics数学theorem定理calculation计算operation运算arithmetic算术,四则运算addition加法subtraction减法multiplication乘法sum和remainder余product积quotient商2 plus 1 equals3二加一等于三4 minus2 equals 2四减二等于二4 multiplied by 5, 4 times5 四乘以五addend加数plus sign加号minussign减号multiplicand被乘数除数dividend被除数decimal point小数点noughtpoint four零点四fraction分数ratio比proportion比例numerator分子common denominator 公分母exponent指数differentialcalculus 微分学计算尺function函数derivative导数power幂,乘方to raise to the power of five使乘五次方x squared某数的平方cube三次方threecubed三次方的to the fourth power,to the power of four 乘四次方square root平方根cube root立方根对数logarithmtable对数表algebra代数equation等式,方程式unknown未知数simpleequation一次方程quadratic equation二次方程cubic equation三次方程微积分反函数: inverse function.幂函数: power function.指数函数: exponential function. 对数函数: logarithmic function.反三角函数: anti-trigonometric function.复合函数: compound function.初等函数: elementary function.双曲函数: hyperbolic function.反双曲函数: 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(indeterminate 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.曲面:surface.二次曲面:second-degree surface.线性代数Aadjont(adjugate) of matrix A A 的伴随矩阵augmented matrix A 的增广矩阵Bblock diagonal matrix 块对角矩阵block matrix 块矩阵basic solution set 基础解系CCauchy-Schwarz inequality 柯西- 许瓦兹不等式characteristic equation 特征方程characteristic polynomial 特征多项式coffcient matrix 系数矩阵cofactor 代数余子式cofactor expansion 代数余子式展开column vector 列向量commuting matrices 交换矩阵consistent linear system 相容线性方程组Cramer's rule 克莱姆法则Cross- product term 交叉项Determinant 行列式Diagonal entries 对角元素Diagonal matrix 对角矩阵Dimension of a vector space V 向量空间V 的维数Eechelon matrix 梯形矩阵eigenspace 特征空间eigenvalue 特征值eigenvector 特征向量eigenvector basis 特征向量的基elementary matrix 初等矩阵elementary row operations 行初等变换Ffull rank 满秩fundermental set of solution 基础解系Ggrneral solution 通解Gram-Schmidt process 施密特正交化过程Hhomogeneous linear equations 齐次线性方程组Iidentity matrix 单位矩阵inconsistent linear system 不相容线性方程组indefinit quatratic form 不定二次型infinite-dimensional space 无限维空间inner product 内积inverse of matrix A 逆矩阵JKLlinear combination 线性组合linearly dependent 线性相关linearly independent 线性无关linear transformation 线性变换lower triangular matrix 下三角形矩阵Mmain diagonal of matrix A 矩阵的主对角matrix 矩阵Nnegative definite quaratic form 负定二次型negative semidefinite quadratic form 半负定二次型nonhomogeneous equations 非齐次线性方程组nonsigular matrix 非奇异矩阵nontrivial solution 非平凡解norm of vector V 向量V 的范数normalizing vector V 规范化向量orthogonal basis 正交基orthogonal complemen t 正交补orthogonal decomposition 正交分解orthogonally diagonalizable matrix 矩阵的正交对角化orthogonal matrix 正交矩阵orthogonal set 正交向量组orthonormal basis 规范正交基orthonomal set 规范正交向量组Ppartitioned matrix 分块矩阵positive definite matrix 正定矩阵positive definite quatratic form 正定二次型positive semidefinite matrix 半正定矩阵positive semidefinite quadratic form 半正定二次型Qquatratic form 二次型Rrank of matrix A 矩阵A 的秩r(A )reduced echelon matrix 最简梯形阵row vector 行向量Sset spanned by { } 由向量{ } 所生成similar matrices 相似矩阵similarity transformation 相似变换singular matrix 奇异矩阵solution set 解集合standard basis 标准基standard matrix 标准矩阵I submatrix 子矩阵subspace 子空间symmetric matrix 对称矩阵Ttrace of matrix A 矩阵A 的迹tr ( A ) transpose of A 矩阵A 的转秩triangle inequlity 三角不等式trivial solution 平凡解Uunit vector 单位向量upper triangular matrix 上三角形矩阵Vvandermonde matrix 范得蒙矩阵vector 向量vector space 向量空间WZzero subspace 零子空间zero vector 零空间概率与统计Probability theory 概率论mathematical statistics 数理统计deterministic phenomenon 确定性现象random phenomenon 随机现象sample space 样本空间random occurrence 随机事件fundamental event 基本事件certain event 必然事件impossible event 不可能事件random test 随机试验incompatible events 互不相容事件frequency 频率classical probabilistic model 古典概型geometric probability 几何概率conditional probability 条件概率multiplication theorem 乘法定理Bayes's formula 贝叶斯公式Prior probability 先验概率Posterior probability 后验概率Independent events 相互独立事件Bernoulli trials 贝努利试验random variable 随机变量probability distribution 概率分布distribution function 分布函数discrete random variable 离散随机变量distribution law 分布律hypergeometric distribution 超几何分布random sampling model 随机抽样模型binomial distribution 二项分布Poisson distribution 泊松分布geometric distribution 几何分布probability density 概率密度continuous random variable 连续随机变量uniformly distribution 均匀分布exponential distribution 指数分布numerical character 数字特征mathematical expectation 数学期望variance 方差moment 矩central moment 中心矩n-dimensional random variable n-维随机变量two-dimensional random variable 二维离散随机变量joint probability distribution 联合概率分布joint distribution law 联合分布律joint distribution function 联合分布函数boundary distribution law 边缘分布律boundary distribution function 边缘分布函数exponential distribution 二维指数分布continuous random variable 二维连续随机变量joint probability density 联合概率密度boundary probability density 边缘概率密度conditional distribution 条件分布conditional distribution law 条件分布律conditional probability density 条件概率密度covariance 协方差dependency coefficient 相关系数normal distribution 正态分布limit theorem 极限定理standard normal distribution 标准正态分布logarithmic normal distribution 对数正态分布covariance matrix 协方差矩阵central limit theorem 中心极限定理Chebyshev's inequality 切比雪夫不等式Bernoulli's law of large numbers 贝努利大数定律statistics 统计量simple random sample 简单随机样本sample distribution function 样本分布函数sample mean 样本均值sample variance 样本方差sample standard deviation 样本标准差sample covariance 样本协方差sample correlation coefficient 样本相关系数order statistics 顺序统计量sample median 样本中位数sample fractiles 样本极差sampling distribution 抽样分布parameter estimation 参数估计estimator 估计量estimate value 估计值unbiased estimator 无偏估计unbiassedness 无偏性biased error 偏差mean square error 均方误差relative efficient 相对有效性minimum variance 最小方差asymptotic unbiased estimator 渐近无偏估计量uniformly estimator 一致性估计量moment method of estimation 矩法估计maximum likelihood method of estimation 极大似然估计法likelihood function 似然函数maximum likelihood estimator 极大似然估计值interval estimation 区间估计hypothesis testing 假设检验statistical hypothesis 统计假设simple hypothesis 简单假设composite hypothesis 复合假设rejection region 拒绝域acceptance domain 接受域test statistics 检验统计量linear regression analysis 线性回归分析。