数学分析中的英文单词和短语

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=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｜=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?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??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??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?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 year(leap 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, 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 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 infinite(a.) infinity(n.) 无穷小 infinitesimal积分 integral定积分 definite integral不定积分 indefinite integral有理数 rational number 无理数 irrational number 实数 real number虚数 imaginary number复数 complex number矩阵 matrix行列式 determinant几何 geometry点 point线 line面 plane体 solid线段 segment射线 radial平行 parallel相交 intersect角 angle角度 degree弧度 radian锐角 acute angle直角 right angle钝角 obtuse angle平角 straight angle 周角 perigon底 base边 side高 height三角形 triangle锐角三角形 acute triangle直角三角形 right triangle直角边 leg斜边 hypotenuse勾股定理 Pythagorean theorem钝角三角形 obtuse triangle不等边三角形 scalene triangle等腰三角形 isosceles triangle等边三角形 equilateral triangle四边形 quadrilateral平行四边形 parallelogram矩形 rectangle长 length宽 width菱形rhomb, rhombus, rhombi(pl.), diamond正方形 square梯形 trapezoid直角梯形 right trapezoid等腰梯形 isosceles trapezoid 五边形 pentagon六边形 hexagon七边形 heptagon八边形 octagon九边形 enneagon十边形 decagon十一边形 hendecagon十二边形 dodecagon多边形 polygon正多边形 equilateral polygon 圆 circle圆心 centre(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 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希望以上资料对你有所帮助，附励志名言3条：：1、世事忙忙如水流，休将名利挂心头。

Prime number 质数Consecutive number 连续整数 Consecutive even integer 连续偶数Cross multiply 交叉相乘 Coefficient 系数Complete quadratic equation 完全二次方程 Complementary function 余函数Constant 常数 Coordinate system 坐标系 Decimal 小数Decimal point 小数点 Decimal fraction 纯小数Decimal arithmetic 十进制运算 Decimal system/decimal scale 十进制Denominator 分母 Difference 差 Direct proportion 正比Divide 除 Divided evenly 被整除 Differential 微分Distinct 不同的 Dividend 被除数，红利 Division 除法Division sign 除号 Divisor 因子，除数 Divisible 可被整除的Equivalent fractions 等值分数 Equivalent equation 等价方程式Equivalence relation 等价关系 Even integer/number 偶数Exponent指数，幂Equation方程Equationofthefirstdegree一次方程Endpoint端点Estimation近似Factor因子Factorablequadraticequation可因式分解的二次方程Incompletequadraticequation不完全二次方程Factorial阶乘Factorization因式分解Geometricmean几何平均数Graphtheory图论Inequality不等式Improperfraction假分数Infinitedecimal无穷小数Inverseproportion反比Irrationalnumber无理数Infinitesimalcalculus微积分Infinity无穷大Infinitesimal无穷小Integerable可积分的Integral积分Integraldomain整域Integrand被积函数Integratingfactor积分因子Inversefunction反函数Inverse/reciprocal倒数 Leastcommondenominator最小公分母Leastcommonmultiple最小公倍数 Literalcoefficient字母系数Liketerms同类项 Linear线的 Minuend被减数Subtrahend被减数 Mixeddecimal混合小数 Mixednumber带分数Minor子行列式 Multiplicand被乘数 Multiplication乘法Multiplier乘数 Monomial单项式 Mean平均数Mode众数 Median中数 Negativenumber负数 Numerator分子Nullset空集 Numbertheory数论 Numberline数轴Numericalanalysis数值分析 Naturallogarithm自然对数Naturalnumber自然数 Nonnegative非负数 Originalequation原方程Ordinaryscale十进制 Ordinal序数 Percentage百分比Parentheses括号Polynomial多项式Power乘方Product积Properfraction真分数Proportion比例Permutation排列Propersubset真子集Primefactor质因子Progression数列Quadrant象限Quadraticequation二次方程Quarter四分之一Ratio比率Realnumber实数Roundoff四舍五入Roundto四舍五入Root根Radicalsign根号Rootsign根号Recurringdecimal循环小数Sequence数列Similarterms同类项Tens十位Tenths十分位Trinomial三相式Units个位Unit单位Weightedaverage加权平均值Union并集Yard码Wholenumber整数Mutuallyexclusive互相排斥Independentevents相互独立事件Probability概率Combination组合Standarddeviation标准方差Range值域Frequencydistribution频率分布Domain定义域Bargraph柱图Geometryterms：Anglebisector角平分线Adjacentangle邻角Alternateangel内错角Acuteangle锐角Obtuseangle钝角Bisect角平分线Adjacentvertices相邻顶点Arc弧Altitude高Arm直角三角形的股Complexplane复平面Convexpolygon凸多边形Complementaryangle余角Cube立方体Centralangle圆心角Circle圆Clockwise顺时钟方向Counterclockwise逆时钟方向Chord弦Circularcylinder圆柱体Congruent全等的Correspondingangle同位角Circumference周长Concentriccircles同心圆Circlegraph扇面图Cone圆锥Circumscribe外切Inscribe内切Diagonal对角线Decagon十边形Hexagon六边形Nonagon九边形Octagon八边形Pentagon五边形Quadrilateral四边形Polygon多边形Diameter直径Edge棱Equilateraltriangle等边三角形Exteriorangle外角/内角Extent维数Exterioranglesonthesamesideofthetransversal同旁外角Hypotenuse三角形的斜边Intercept截距Includedangle夹角Intersect相交Inscribedtriangle内接三角形Isoscelestriangle等腰三角形Midpoint中点Minoraxis短轴Origin原点Oblique斜三角形Planegeometry平面几何Oblateness椭圆Parallelogram平行四边形Parallellines平行线Perpendicular垂直的Pythagoreantheorem勾股定理Piechart扇图Quadrihedron三角锥Radius半径Rectangle长方形Regularpolygon正多边形Rhombus菱形Rightcircularcylinder直圆柱体Righttriangle直角三角形Rightangle直角Rectangularsolid正多面体Regularprism正棱柱Regularpyramid正棱锥Regularsolid/polyhedron正多面体Slope斜率SphereSide边长Segmentofacircle弧形Semicircle半圆Solid立体 Square正方形，平方GMAT考试的数学部分包括37个多项选择题，要求在75分钟内完成。

数学中英语专业名词Aabelian group：阿贝尔群；absolute geometry：绝对几何；absolute value：绝对值；abstract algebra：抽象代数；addition：加法；algebra：代数；algebraic closure：代数闭包；algebraic geometry：代数几何；algebraic geometry and analytic geometry：代数几何和解析几何；algebraic numbers：代数数；algorithm：算法；almost all：绝大多数；analytic function：解析函数；analytic geometry：解析几何；and：且；angle：角度；anticommutative：反交换律；antisymmetric relation：反对称关系；antisymmetry：反对称性；approximately equal：约等于；Archimedean field：阿基米德域；Archimedean group：阿基米德群；area：面积；arithmetic：算术；associative algebra：结合代数；associativity：结合律；axiom：公理；axiom of constructibility：可构造公理；axiom of empty set：空集公理；axiom of extensionality：外延公理；axiom of foundation：正则公理；axiom of pairing：对集公理；axiom of regularity：正则公理；axiom of replacement：代换公理；axiom of union：并集公理；axiom schema of separation：分离公理；axiom schema of specification：分离公理；axiomatic set theory：公理集合论；axiomatic system：公理系统；BBaire space：贝利空间；basis：基；Bézout's identity：贝祖恒等式；Bernoulli's inequality：伯努利不等式；Big O notation：大O符号；bilinear operator：双线性算子；binary operation：二元运算；binary predicate：二元谓词；binary relation：二元关系；Boolean algebra：布尔代数；Boolean logic：布尔逻辑；Boolean ring：布尔环；boundary：边界；boundary point：边界点；bounded lattice：有界格；Ccalculus：微积分学；Cantor's diagonal argument：康托尔对角线方法；cardinal number：基数；cardinality：势；cardinality of the continuum：连续统的势；Cartesian coordinate system：直角坐标系；Cartesian product：笛卡尔积；category：范畴；Cauchy sequence：柯西序列；Cauchy-Schwarz inequality：柯西不等式；Ceva's Theorem：塞瓦定理；characteristic：特征；characteristic polynomial：特征多项式；circle：圆；class：类；closed：闭集；closure：封闭性或闭包；closure algebra：闭包代数；combinatorial identities：组合恒等式；commutative group：交换群；commutative ring：交换环；commutativity:：交换律；compact：紧致的；compact set：紧致集合；compact space：紧致空间；complement：补集或补运算；complete lattice：完备格；complete metric space：完备的度量空间；complete space：完备空间；complex manifold：复流形；complex plane：复平面；congruence：同余；congruent：全等；connected space：连通空间；constructible universe：可构造全集；constructions of the real numbers：实数的构造；continued fraction：连分数；continuous：连续；continuum hypothesis：连续统假设；contractible space：可缩空间；convergence space：收敛空间；cosine：余弦；countable：可数；countable set：可数集；cross product：叉积；cycle space：圈空间；cyclic group：循环群；Dde Morgan's laws：德·摩根律；Dedekind completion：戴德金完备性；Dedekind cut：戴德金分割；del：微分算子；dense：稠密；densely ordered：稠密排列；derivative：导数；determinant：行列式；diffeomorphism：可微同构；difference：差；differentiable manifold：可微流形；differential calculus：微分学；dimension：维数；directed graph：有向图；discrete space：离散空间；discriminant：判别式；distance：距离；distributivity：分配律；dividend：被除数；dividing：除；divisibility：整除；division：除法；divisor：除数；dot product：点积；Eeigenvalue：特征值；eigenvector：特征向量；element：元素；elementary algebra：初等代数；empty function：空函数；empty set：空集；empty product：空积；equal：等于；equality：等式或等于；equation：方程；equivalence relation：等价关系；Euclidean geometry：欧几里德几何；Euclidean metric：欧几里德度量；Euclidean space：欧几里德空间；Euler's identity：欧拉恒等式；even number：偶数；event：事件；existential quantifier：存在量词；exponential function：指数函数；exponential identities：指数恒等式；expression：表达式；extended real number line：扩展的实数轴；Ffalse：假；field：域；finite：有限；finite field：有限域；finite set：有限集合；first-countable space：第一可数空间；first order logic：一阶逻辑；foundations of mathematics：数学基础；function：函数；functional analysis：泛函分析；functional predicate：函数谓词；fundamental theorem of algebra：代数基本定理；fraction：分数；Ggauge space：规格空间；general linear group：一般线性群；geometry：几何学；gradient：梯度；graph：图；graph of a relation：关系图；graph theory：图论；greatest element：最大元；group：群；group homomorphism：群同态；HHausdorff space：豪斯多夫空间；hereditarily finite set：遗传有限集合；Heron's formula：海伦公式；Hilbert space：希尔伯特空间；Hilbert's axioms：希尔伯特公理系统；Hodge decomposition：霍奇分解；Hodge Laplacian：霍奇拉普拉斯算子；homeomorphism：同胚；horizontal：水平；hyperbolic function identities：双曲线函数恒等式；hypergeometric function identities：超几何函数恒等式；hyperreal number：超实数；Iidentical：同一的；identity：恒等式；identity element：单位元；identity matrix：单位矩阵；idempotent：幂等；if：若；if and only if：当且仅当；iff：当且仅当；imaginary number：虚数；inclusion：包含；index set：索引集合；indiscrete space：非离散空间；inequality：不等式或不等；inequality of arithmetic and geometric means：平均数不等式；infimum：下确界；infinite series：无穷级数；infinite：无穷大；infinitesimal：无穷小；infinity：无穷大；initial object：初始对象；inner angle：内角；inner product：内积；inner product space：内积空间；integer：整数；integer sequence：整数列；integral：积分；integral domain：整数环；interior：内部；interior algebra：内部代数；interior point：内点；intersection：交集；inverse element：逆元；invertible matrix：可逆矩阵；interval：区间；involution：回旋；irrational number：无理数；isolated point：孤点；isomorphism：同构；JJacobi identity：雅可比恒等式；join：并运算；K格式：Kuratowski closure axioms：Kuratowski 闭包公理；Lleast element：最小元；Lebesgue measure：勒贝格测度；Leibniz's law：莱布尼茨律；Lie algebra：李代数；Lie group：李群；limit：极限；limit point：极限点；line：线；line segment：线段；linear：线性；linear algebra：线性代数；linear operator：线性算子；linear space：线性空间；linear transformation：线性变换；linearity：线性性；list of inequalities：不等式列表；list of linear algebra topics：线性代数相关条目；locally compact space：局部紧致空间；logarithmic identities：对数恒等式；logic：逻辑学；logical positivism：逻辑实证主义；law of cosines：余弦定理；L??wenheim-Skolem theorem：L??wenheim-Skolem 定理；lower limit topology：下限拓扑；Mmagnitude：量；manifold：流形；map：映射；mathematical symbols：数学符号；mathematical analysis：数学分析；mathematical proof：数学证明；mathematics：数学；matrix：矩阵；matrix multiplication：矩阵乘法；meaning：语义； measure：测度；meet：交运算；member：元素；metamathematics：元数学；metric：度量；metric space：度量空间；model：模型；model theory：模型论；modular arithmetic：模运算；module：模；monotonic function：单调函数；multilinear algebra：多重线性代数；multiplication：乘法；multiset：多样集；Nnaive set theory：朴素集合论；natural logarithm：自然对数；natural number：自然数；natural science：自然科学；negative number：负数；neighbourhood：邻域；New Foundations：新基础理论；nine point circle：九点圆；non-Euclidean geometry：非欧几里德几何；nonlinearity：非线性；non-singular matrix：非奇异矩阵；nonstandard model：非标准模型；nonstandard analysis：非标准分析；norm：范数；normed vector space：赋范向量空间；n-tuple：n 元组或多元组；nullary：空；nullary intersection：空交集；number：数；number line：数轴；Oobject：对象；octonion：八元数；one-to-one correspondence：一一对应；open：开集；open ball：开球；operation：运算；operator：算子；or：或；order topology：序拓扑；ordered field：有序域；ordered pair：有序对；ordered set：偏序集；ordinal number：序数；ordinary mathematics：一般数学；origin：原点；orthogonal matrix：正交矩阵；Pp-adic number：p进数；paracompact space：仿紧致空间；parallel postulate：平行公理；parallelepiped：平行六面体；parallelogram：平行四边形；partial order：偏序关系；partition：分割；Peano arithmetic：皮亚诺公理；Pedoe's inequality：佩多不等式；perpendicular：垂直；philosopher：哲学家；philosophy：哲学；philosophy journals：哲学类杂志；plane：平面；plural quantification：复数量化；point：点；Point-Line-Plane postulate：点线面假设；polar coordinates：极坐标系；polynomial：多项式；polynomial sequence：多项式列；positive-definite matrix：正定矩阵；positive-semidefinite matrix：半正定矩阵；power set：幂集；predicate：谓词；predicate logic：谓词逻辑；preorder：预序关系；prime number：素数；product：积；proof：证明；proper class：纯类；proper subset：真子集；property：性质；proposition：命题；pseudovector：伪向量；Pythagorean theorem：勾股定理；QQ.E.D.：Q.E.D.；quaternion：四元数；quaternions and spatial rotation：四元数与空间旋转；question：疑问句；quotient field：商域；quotient set：商集；Rradius：半径；ratio：比；rational number：有理数；real analysis：实分析；real closed field：实闭域；real line：实数轴；real number：实数；real number line：实数线；reflexive relation：自反关系；reflexivity：自反性；reification：具体化；relation：关系；relative complement：相对补集；relatively complemented lattice：相对补格；right angle：直角；right-handed rule：右手定则；ring：环；Sscalar：标量；second-countable space：第二可数空间；self-adjoint operator：自伴随算子；sentence：判断；separable space：可分空间；sequence：数列或序列；sequence space：序列空间；series：级数；sesquilinear function：半双线性函数；set：集合；set-theoretic definition of natural numbers：自然数的集合论定义；set theory：集合论；several complex variables：一些复变量；shape：几何形状；sign function：符号函数；singleton：单元素集合；social science：社会科学；solid geometry：立体几何；space：空间；spherical coordinates：球坐标系；square matrix：方块矩阵；square root：平方根；strict：严格；structural recursion：结构递归；subset：子集；subsequence：子序列；subspace：子空间；subspace topology：子空间拓扑；subtraction：减法；sum：和；summation：求和；supremum：上确界；surreal number：超实数；symmetric difference：对称差；symmetric relation：对称关系；system of linear equations：线性方程组；Ttensor：张量；terminal object：终结对象；the algebra of sets：集合代数；theorem：定理；top element：最大元；topological field：拓扑域；topological manifold：拓扑流形；topological space：拓扑空间；topology：拓扑或拓扑学；total order：全序关系；totally disconnected：完全不连贯；totally ordered set：全序集；transcendental number：超越数；transfinite recursion：超限归纳法；transitivity：传递性；transitive relation：传递关系；transpose：转置；triangle inequality：三角不等式；trigonometric identities：三角恒等式；triple product：三重积；trivial topology：密着拓扑；true：真；truth value：真值；Uunary operation：一元运算；uncountable：不可数； uniform space：一致空间；union：并集；unique：唯一；unit interval：单位区间；unit step function：单位阶跃函数；unit vector：单位向量；universal quantification：全称量词；universal set：全集；upper bound：上界；Vvacuously true：??；Vandermonde's identity：Vandermonde 恒等式；variable：变量；vector：向量；vector calculus：向量分析；vector space：向量空间；Venn diagram：文氏图；volume：体积；von Neumann ordinal：冯·诺伊曼序数；von Neumann universe：冯·诺伊曼全集；vulgar fraction：分数；ZZermelo set theory：策梅罗集合论；Zermelo-Fraenkel set theory：策梅罗-弗兰克尔集合论；ZF set theory：ZF 系统；zero：零；zero object：零对象；。

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。

数学分析中的英语单词第一章real number and its properties 实数及其性质 rational number 有理数 irrational number 无理数 definition 定义 proposition 命题plus 加minus 减multiplied by/times 乘over/is to/divided by 除absolute value and inequality 绝对值与不等式 triangle inequality 三角不等式 inverse triangle inequality 反三角不等式 Bernoulli inequality 伯努利不等式 principles of supremum and infimum 确界原理open interval 开区间closed interval 闭区间semi-open interval 半开区间semi-closed interval 半闭区间finite interval 有限区间 infinite interval 无限区间 neighborhood 领域deleted neighborhood 去心邻域sum 和difference 差product 积quotient 商number axis/number line 数轴 closeness 封闭性 Archimedean property 阿基米德性质 density 稠密行upper and lower bounds 上界和下界 bounded set 有界集 unbounded set 无界集 existence domian 存在域 supremum 上确界 infimum 下确界order-complete set 有序完备集 completeness of real numbers 实数的完备性 complete ordered field 全序域 axiom of completeness 完备性公理 Dedekind cut 戴德金分割 Dedekind property 戴德金性质 constant and variable quantities 常量与变量 definition of function 函数的定义域 domain 定义域 range 值域 independent variable 自变量 dependent variable 因变量 intermediate variable 中间量 elementary function 初等函数 constant function 常量函数 power function 幂函数 exponential function 指数函数 logarithmic function 对数函数 trigonometric function 三角函数 inverse trigonometric function 反三角函数 compound function 复合函数 mapping 映射inverse mapping 逆映射 image 像primary image 原像 piecewise function 分段函数sign function 符号函数 Dirichlet function 狄利克雷函数 Riemann function 黎曼函数 bounded function 有界函数 monotone function 单调函数 monotone increasing function 单调增函数 strictly monotone function 严格单调函数 odd(even) function 奇函数（偶函数） minimal positive period 最小正周期 absolute value function 绝对值函数 identity function 恒等函数 polynomial function 多项式函数linear function 线性函数 quadratic function 二次函数rational function 有理函数 hyperbolic sine 双曲正弦 hyperbolic cosine 双曲余弦 trigonometric identity 三角恒等式odd-even identity 奇偶恒等式 cofunction identity 余函数恒等式 Pythagorean identity 毕达哥拉斯恒等式 half-angle identity 半角恒等式 product identity 积恒等式sum identity 和恒等式 addition identity 加法恒等式 double-angle identity 倍角恒等式第二章 数列极限limit of sequence 数列极限 divergent sequence 发散数列 infinitesimal sequence 无穷小数列 convergent sequence 收敛数列 uniqueness theorem 唯一性定理boundedness theorem 有界性定理 inheriting order properties 保序性inheriting inequality 保不等式 subsequence 子列strictly increasing 严格递增 monotone increasing sequence 单调递增序列 monotone decreasing sequence 单调递减序列 necessary condition 必要条件sufficient condition 充分条件squeeze principle 夹逼定理Cauchy convergence criterion 柯西收敛准则第三章 函数极限limit of function 函数极限infinite limit 无穷极限one-sided limit 单侧极限right(left)limit/right(left) hand limit 右（左）极限 property of limit of function 函数极限的性质 local boundedness 局部有界性Heine theorem 海涅定理infinity 无穷大量order of infinitesimal 无穷小量的阶 infinitesimal of higher(lower) order 高（低）阶无穷小量 infinitesimal of same order 同阶无穷小量 equivalent infinitesimal 等价无穷小量k-order infinitesimal k-阶无穷小量 vertical asymptote 垂直渐近线oblique asymptote 斜渐进线 horizontal asymptote 水平渐近线第四章函数的连续性increment of independent variable 自变量的增量 increment of function 函数的增量right(left) continuous 右(左)连续discontinuity point and its classification 间断点及其分类 removable discontinuity 可去间断点jump discontinuity 跳跃间断点 discontinuity of the first kind 第一类间断点 discontinuity of the second kind 第二类间断点local properties of continuous function 连续函数的局部性质 composition properties of continuous function 连续函数的复合性质闭区间上连续函数的性质 properties of continuous function over closedintervalextreme value theorem 极值定理maximum and minimum value theorem 最大值和最小值定理 intermediate value theorem 介值性定理zero-point theorem 零点定理uniform continuity theorem 一致连续定理continuity of inverse function 反函数的连续性local inheriting order property 局部保号性continuity of elementary function 初等函数的连续性第五章 导数和微分finite increment formula 有限增量公式rate of change 变化率difference quotient 差商left(right) derivative 左（右）导数 derivative function 导函数derivable function 可导函数geometric meaning of derivative 导数的集合意义Fermat theorem 费马定理Darboux theorem 达布定理intermediate value theorem of derivative function 导函数的介值定理 algebra of derivatives 导数的四则运算 derivative of sum 和的导数derivatives of difference 差的导数derivative of product 积的导数derivative of quotient 商的导数 derivative of inverse function 反函数的导数 maximum value 最大值minimum value 最小值 derivative of composite function 复合函数的导数 logarithmic derivative 对数求导法 parametric equation of circle 圆的参数方程 parametric equation of ellipse 椭圆的参数方程 parametric equation of cycloid 摆线的参数方程 parametric equation of asteroid 星形线的参数方程 second derivative 二阶导数third derivative 三阶导数n-th derivative n阶导数Leibniz formula 莱布尼茨公式 acceleration 加速度physical interpretation 物理解释 concept of differential 微分的概念 differentiable function 可微函数linear principal part 线性主部 differential of independent variable 自变量的微分 operational rules of differential 微分的运算法则 invariance of differential form 微分形式的不变性 geometric meaning of differential 微分的几何意义 higher-order differential 高阶微分第六章 微分中值定理Rolle mean value theorem 罗尔中值定理 Lagrange mean value theorem 拉格朗日中值定理 Cauchy mean value theorem 柯西中值定理 Taylor theorem 泰勒定理L’Hospital rule 洛必达法则limit of indeterminate form of type 0/0 0/0型不定式极限 indeterminate form of type ∞/∞ ∞/∞型不定式other indeterminate forms 其他类型不定式Taylor formula with Peano remainder 带有皮亚诺型余项的泰勒公式Taylor coefficient 泰勒系数Taylor polynomial 泰勒多项式remainder of Taylor formula 带有拉格朗日型余项的泰勒公式Taylor formula with Lagrange remainder 带有拉格朗日型余项的麦克劳林公式extreme value of function 函数的极值test of extreme value 极值判断the first sufficient condition of extreme value 极值的第一充分条件 convexity and inflection point of function 函数的凸性和拐点 convex function 凸函数concave function 凹函数strictly convex function 严格凸函数strictly concave function 严格凹函数Jenson inequality 琴生不等式第七章实数的完备性实数击完备性的基本定理 fundamental theorems of completeness in the setof real numbersnested interval theorem 闭区间套定理Cauchy convergence criterion 柯西收敛准着 accumulation theorem 聚点定理finite covering theorem 有限覆盖定理upper and lower limits 上极限和下极限第八章 不定积分indefinite integral 不定积分primitive function 原函数integrand function 被积函数integral sign 积分符号expression of integrand 积分表达式integral constant 积分常数table of basic integrals 基本积分表 geometric meaning of indefinite 不定积分的几何意义 integral curve 积分曲线initial condition 初始条件 integration by parts 分部积分法 integration by substitutions 换元积分法formula of substitution of the first kind 第一换元公式 indefinite integral of rational function 有理函数的不定积分 proper fraction 真分式improper fraction 假分式 decomposition into partial fractions 部分分式分解 method of undermined coefficients 待定系数法第九章 定积分definite integral 定积分curvilinear trapezoid 曲边梯形dividing/partition 分割norm/modulus 模Riemann sum 黎曼和Riemann integral 黎曼积分 integrability in the sense of Riemann 黎曼可积interval of integration 积分区间upper and lower limits 上限和下限 geometric meaning of definite integral 定积分的几何意义 upper sum 上和lower sum 下和Darboux upper sum 达布上和Darboux lower sum 达布下和Newton-Leibniz formula 牛顿-莱布尼茨公式 necessary condition for integrability 可积的必要条件 necessary and sufficient conditions for integrability 可积的充要条件 integrable function class 可积函数类linear property of definite integral 定积分的线性性质 additive with respect to integral interval/additivityover integral interval积分区间的可加性 mean value theorem of integral 积分中值定理 average value 平均值integral with variant upper limit 变上限积分 existence of primitive function 原函数的存在性 integration by substitution 换元积分法 integration by parts 分部积分法integral form of reminder of Taylor formula 泰勒公式的积分类型 第十章 定积分的应用area of plane figure 平面图形的面积method of finding volume of a solid from the knows area of parallel sections 由平行截面面积求体积的方法arc length and curvature of plane curve 平面的曲线的弧长与曲率 smooth curve 光滑曲线differential of arc 弧微分circle of curvature 曲率圆radius of curvature 曲率半径area of revolution surface 旋转曲面的面积some applications of definite integral in physics 定积分在物理中的某些应用gravitation 引力work 功approximate computation of definite integral 定积分的近似计算 trapezoidal method 梯形法parabola method 抛物线法第十一章反常积分notion of improper integral 反常积分的概念 improper integral on infinite interval 无穷区间上的反常积分 improper integral of unbounded function 无界函数的反常积分 property of infinite integral and test of 无穷积分的性质和收敛判convergence 别absolutely convergent 绝对收敛comparison test 比较收敛法Cauchy test 柯西判别法Dirichlet test 狄利克雷判别法Abel test 阿贝尓判别法第十二章数项级数series with number terms 数项级数infinite series 无穷级数convergence of series 级数的收敛性 sequence of partial sum 部分和序列geometric series 几何级数harmonic series 调和级数Cauchy convergence criterion for series 级数收敛的柯西准则 series with positive terms 正项级数necessary condition for convergence 收敛的必要条件root test 根式判别法D’alembert(ratio) test 达朗贝尔判别法（比式判别法）limit form of ratio test 比式判别法的极限形式 Gauss test 高斯判别法integral test 积分判别法Raabe test 拉贝尓判别法p-series p级数series with arbitraty terms 一般项级数alternating series 交错级数Leibnitz test 莱布尼茨判别法 rearrangement of series 级数的重排Abel test 阿贝尓判别法Dirichlet test 狄利克雷判别法第十章 函数列与函数项级数convergent at x"在点x"收敛convergence domain/region of convergence 收敛域sum function 和函数limit function 极限函数series of functions 函数项级数uniform convergence 一致收敛test of uniform convergence 一致收敛判别法魏尔斯特拉判别法 Weierstrass’s test/Weierstrass uniformconvergence criterion/Weierstrass m-test foruniform convergenceuniform boundedness 一致有界Dirichlet test 狄利克列判别法第十四章幂级数power series 幂级数interval of convergence 收敛区间radius of convergence 收敛半径Abel theorem 阿贝尓定理operations of power series 幂级数的运算taylor series 泰勒级数expansion of power series of elementary function 初等函数的幂级数展开式 exponential function of complex variable 复变量的指数函数Euler formula 欧拉公式第十五章傅里叶级数Fourier series 傅里叶级数 trigonometric series 三角级数system of orthogonal functions 正交函数系simple harmonic vibration 简谐振动Fourier series for function of period 2π以2π为周期的函数的傅立叶级数angular frequency 角频率piecewise smooth 分段光滑Fourier coefficient 傅立叶系数 convergence theorem 收敛定理Fourier series of even and odd functions 奇函数与偶函数的傅立叶级数amplitude 振幅sine series 正弦级数cosine series 余弦级数periodic extension 周期延拓第十六章多元函数的极限与连续functions of several variables 多元函数plane point set 平面点集coordinate plane 坐标平面interior point 内点outer point 外点boundary point 界点boundary 边点isolated point 孤立点open set 开集closed set 闭集connectedness 连通性connected open set 连通开集open domain(region) 开域closed domain(region) 闭域bounded point set 有界点集unbounded point set 无界点集nested closed domain theorem 闭域套定理function of two variables 二元函数n-dimensional vector space n-维向量空间improper limit 非正常极限double limit 二重极限properties of continuous functions on bounded closed region 有界闭区域上连续函数的性质repeated limits 累次极限 total increment 全增量partial increment 偏增量第十七章多元函数微分学total differential 全微分partial derivative 偏导数continuously differentiate 连续可微tangent plane of surface 曲面的切平面normal plane of curve 曲线的法平面 differentiation of composite function 复合函数微分法chain rule for functions of several variables 多元函数的链式法则 invariance of differential form of first order 一阶微分形式的不变性 directional derivative and gradient 方向导数与梯度 differentiability 可微性Taylor formula 泰勒公式problem of extreme value 极值问题partial derivative of higher order 高阶偏导数mixed partial derivative 混合偏导数第十八章隐函数定理及其应用existence and uniqueness theorem of implicit隐函数存在唯一性定理 functionssystem of implicit functions 隐函数组functional determinant (Jacobian determinant) 函数行列式（雅可比行列式）system of inverse functions 反函数组coordinate transformation 坐标变换geometrical application 几何应用tangent line and normal line of plane curve 平面曲线的切线与法线 tangent line and normal plane of space curve 空间曲线的切线与法平面 conditional extremum 条件极值Lagrange multiplier method 拉格朗日乘数法第十九章 含参变量积分proper integral with parameter 含参量的正常积分 improper integral with parameter 含参量的反常积分Euler integral 欧拉积分 Weierstrass test 魏尔斯特拉判别法 Dicichlet test 狄利克雷判别法 improper integral with infinite bound 无穷限的反常积分 improper integral with unbounded 无界函数的反常积分 Gamma functionBeta function第二十章inner area 内面积outer area 外面积cylindrical body with tip surface 曲顶柱体fineness 细度integral region 积分区域double integral 二重积分x-type region x型区域y-type region y型区域triple integral 三重积分change of variable in triple integral 三重积分换元法 transformation of cylindrical 柱面坐标变换 transformation of spherical coordinates 球面坐标变换area of surface 曲面面积第十一章曲线积分第一型曲线积分 curvilinear integrals of the first kind/line integrationof 1-form第二型曲线积分 curvilinear integrals of the first kind/line integrationof 2-formrelation between two classes of curvilinear两次曲线积分的联系 integralsGreen formula 格林公式 independence of curvilinear integrals with曲线积分与路径无关性 pathsimple connected region 单连通区域complex connected region 复连通区域第二十二章曲面积分surface integral of the first kind 第一型曲面积分 surface integral of the second kind 第二型曲面积分 unilateral surface 单侧曲面bilateral surface/two sided face 双侧曲面right-hand rule 右手法则relation between two classes of surface integrals 两类曲面积分的关系 Gauss formula 高斯公式Stokes formula 斯托克斯公式 introduction to field 场论初步field of vectors 向量场gradient field 梯度场gravitation field 引力场divergence field 散度场rotation field 旋度场circulation 环流量。

V、X、Z:Value of function ：函数值Variable ：变数Vector ：向量Velocity ：速度Vertical asymptote ：垂直渐近线Volume ：体积X-axis ：x轴x-coordinate ：x坐标x-intercept ：x截距Zero vector ：函数的零点Zeros of a polynomial ：多项式的零点T:Tangent function ：正切函数Tangent line ：切线Tangent plane ：切平面Tangent vector ：切向量Total differential ：全微分Trigonometric function ：三角函数Trigonometric integrals ：三角积分Trigonometric substitutions ：三角代换法Tripe integrals ：三重积分S:Saddle point ：鞍点Scalar ：纯量Secant line ：割线Second derivative ：二阶导数Second Derivative Test ：二阶导数试验法Second partial derivative ：二阶偏导数Sector ：扇形Sequence ：数列Series ：级数Set ：集合Shell method ：剥壳法Sine function ：正弦函数Singularity ：奇点Slant asymptote ：斜渐近线Slope ：斜率Slope-intercept equation of a line ：直线的斜截式Smooth curve ：平滑曲线Smooth surface ：平滑曲面Solid of revolution ：旋转体Space ：空间Speed ：速率Spherical coordinates ：球面坐标Squeeze Theorem ：夹挤定理Step function ：阶梯函数Strictly decreasing ：严格递减Strictly increasing ：严格递增Sum ：和Surface ：曲面Surface integral ：面积分Surface of revolution ：旋转曲面Symmetry ：对称R:Radius of convergence ：收敛半径Range of a function ：函数的值域Rate of change ：变化率Rational function ：有理函数Rationalizing substitution ：有理代换法Rational number ：有理数Real number ：实数Rectangular coordinates ：直角坐标Rectangular coordinate system ：直角坐标系Relative maximum and minimum ：相对极大值与极小值Revenue function ：收入函数Revolution , solid of ：旋转体Revolution , surface of ：旋转曲面Riemann Sum ：黎曼和Riemannian geometry ：黎曼几何Right-hand derivative ：右导数Right-hand limit ：右极限Root ：根P、Q:Parabola ：拋物线Parabolic cylinder ：抛物柱面Paraboloid ：抛物面Parallelepiped ：平行六面体Parallel lines ：并行线Parameter ：参数Partial derivative ：偏导数Partial differential equation ：偏微分方程Partial fractions ：部分分式Partial integration ：部分积分Partiton ：分割Period ：周期Periodic function ：周期函数Perpendicular lines ：垂直线Piecewise defined function ：分段定义函数Plane ：平面Point of inflection ：反曲点Polar axis ：极轴Polar coordinate ：极坐标Polar equation ：极方程式Pole ：极点Polynomial ：多项式Positive angle ：正角Point-slope form ：点斜式Power function ：幂函数Product ：积Quadrant ：象限Quotient Law of limit ：极限的商定律Quotient Rule ：商定律M、N、O:Maximum and minimum values ：极大与极小值Mean Value Theorem ：均值定理Multiple integrals ：重积分Multiplier ：乘子Natural exponential function ：自然指数函数Natural logarithm function ：自然对数函数Natural number ：自然数Normal line ：法线Normal vector ：法向量Number ：数Octant ：卦限Odd function ：奇函数One-sided limit ：单边极限Open interval ：开区间Optimization problems ：最佳化问题Order ：阶Ordinary differential equation ：常微分方程Origin ：原点Orthogonal ：正交的L:Laplace transform ：Leplace 变换Law of Cosines ：余弦定理Least upper bound ：最小上界Left-hand derivative ：左导数Left-hand limit ：左极限Lemniscate ：双钮线Length ：长度Level curve ：等高线L'Hospital's rule ：洛必达法则Limacon ：蚶线Limit ：极限Linear approximation：线性近似Linear equation ：线性方程式Linear function ：线性函数Linearity ：线性Linearization ：线性化Line in the plane ：平面上之直线Line in space ：空间之直线Lobachevski geometry ：罗巴切夫斯基几何Local extremum ：局部极值Local maximum and minimum ：局部极大值与极小值Logarithm ：对数Logarithmic function ：对数函数I:Implicit differentiation ：隐求导法Implicit function ：隐函数Improper integral ：瑕积分Increasing/Decreasing Test ：递增或递减试验法Increment ：增量Increasing Function ：增函数Indefinite integral ：不定积分Independent variable ：自变数Indeterminate from ：不定型Inequality ：不等式Infinite point ：无穷极。

数学分析中的英语单词第一章real number and its properties 实数及其性质 rational number 有理数 irrational number 无理数 definition 定义 proposition 命题plus 加minus 减multiplied by/times 乘over/is to/divided by 除absolute value and inequality 绝对值与不等式 triangle inequality 三角不等式 inverse triangle inequality 反三角不等式 Bernoulli inequality 伯努利不等式 principles of supremum and infimum 确界原理open interval 开区间closed interval 闭区间semi-open interval 半开区间semi-closed interval 半闭区间finite interval 有限区间 infinite interval 无限区间 neighborhood 领域deleted neighborhood 去心邻域sum 和difference 差product 积quotient 商number axis/number line 数轴 closeness 封闭性 Archimedean property 阿基米德性质 density 稠密行upper and lower bounds 上界和下界 bounded set 有界集 unbounded set 无界集 existence domian 存在域 supremum 上确界 infimum 下确界order-complete set 有序完备集 completeness of real numbers 实数的完备性 complete ordered field 全序域 axiom of completeness 完备性公理 Dedekind cut 戴德金分割 Dedekind property 戴德金性质 constant and variable quantities 常量与变量 definition of function 函数的定义域 domain 定义域 range 值域 independent variable 自变量 dependent variable 因变量 intermediate variable 中间量 elementary function 初等函数 constant function 常量函数 power function 幂函数 exponential function 指数函数 logarithmic function 对数函数 trigonometric function 三角函数 inverse trigonometric function 反三角函数 compound function 复合函数 mapping 映射inverse mapping 逆映射 image 像primary image 原像 piecewise function 分段函数sign function 符号函数 Dirichlet function 狄利克雷函数 Riemann function 黎曼函数 bounded function 有界函数 monotone function 单调函数 monotone increasing function 单调增函数 strictly monotone function 严格单调函数 odd(even) function 奇函数（偶函数） minimal positive period 最小正周期 absolute value function 绝对值函数 identity function 恒等函数 polynomial function 多项式函数linear function 线性函数 quadratic function 二次函数rational function 有理函数 hyperbolic sine 双曲正弦 hyperbolic cosine 双曲余弦 trigonometric identity 三角恒等式odd-even identity 奇偶恒等式 cofunction identity 余函数恒等式 Pythagorean identity 毕达哥拉斯恒等式 half-angle identity 半角恒等式 product identity 积恒等式sum identity 和恒等式 addition identity 加法恒等式 double-angle identity 倍角恒等式第二章 数列极限limit of sequence 数列极限 divergent sequence 发散数列 infinitesimal sequence 无穷小数列 convergent sequence 收敛数列 uniqueness theorem 唯一性定理boundedness theorem 有界性定理 inheriting order properties 保序性inheriting inequality 保不等式 subsequence 子列strictly increasing 严格递增 monotone increasing sequence 单调递增序列 monotone decreasing sequence 单调递减序列 necessary condition 必要条件sufficient condition 充分条件squeeze principle 夹逼定理Cauchy convergence criterion 柯西收敛准则第三章 函数极限limit of function 函数极限infinite limit 无穷极限one-sided limit 单侧极限right(left)limit/right(left) hand limit 右（左）极限 property of limit of function 函数极限的性质 local boundedness 局部有界性Heine theorem 海涅定理infinity 无穷大量order of infinitesimal 无穷小量的阶 infinitesimal of higher(lower) order 高（低）阶无穷小量 infinitesimal of same order 同阶无穷小量 equivalent infinitesimal 等价无穷小量k-order infinitesimal k-阶无穷小量 vertical asymptote 垂直渐近线oblique asymptote 斜渐进线 horizontal asymptote 水平渐近线第四章函数的连续性increment of independent variable 自变量的增量 increment of function 函数的增量right(left) continuous 右(左)连续discontinuity point and its classification 间断点及其分类 removable discontinuity 可去间断点jump discontinuity 跳跃间断点 discontinuity of the first kind 第一类间断点 discontinuity of the second kind 第二类间断点local properties of continuous function 连续函数的局部性质 composition properties of continuous function 连续函数的复合性质闭区间上连续函数的性质 properties of continuous function over closedintervalextreme value theorem 极值定理maximum and minimum value theorem 最大值和最小值定理 intermediate value theorem 介值性定理zero-point theorem 零点定理uniform continuity theorem 一致连续定理continuity of inverse function 反函数的连续性local inheriting order property 局部保号性continuity of elementary function 初等函数的连续性第五章 导数和微分finite increment formula 有限增量公式rate of change 变化率difference quotient 差商left(right) derivative 左（右）导数 derivative function 导函数derivable function 可导函数geometric meaning of derivative 导数的集合意义Fermat theorem 费马定理Darboux theorem 达布定理intermediate value theorem of derivative function 导函数的介值定理 algebra of derivatives 导数的四则运算 derivative of sum 和的导数derivatives of difference 差的导数derivative of product 积的导数derivative of quotient 商的导数 derivative of inverse function 反函数的导数 maximum value 最大值minimum value 最小值 derivative of composite function 复合函数的导数 logarithmic derivative 对数求导法 parametric equation of circle 圆的参数方程 parametric equation of ellipse 椭圆的参数方程 parametric equation of cycloid 摆线的参数方程 parametric equation of asteroid 星形线的参数方程 second derivative 二阶导数third derivative 三阶导数n-th derivative n阶导数Leibniz formula 莱布尼茨公式 acceleration 加速度physical interpretation 物理解释 concept of differential 微分的概念 differentiable function 可微函数linear principal part 线性主部 differential of independent variable 自变量的微分 operational rules of differential 微分的运算法则 invariance of differential form 微分形式的不变性 geometric meaning of differential 微分的几何意义 higher-order differential 高阶微分第六章 微分中值定理Rolle mean value theorem 罗尔中值定理 Lagrange mean value theorem 拉格朗日中值定理 Cauchy mean value theorem 柯西中值定理 Taylor theorem 泰勒定理L’Hospital rule 洛必达法则limit of indeterminate form of type 0/0 0/0型不定式极限 indeterminate form of type ∞/∞ ∞/∞型不定式other indeterminate forms 其他类型不定式Taylor formula with Peano remainder 带有皮亚诺型余项的泰勒公式Taylor coefficient 泰勒系数Taylor polynomial 泰勒多项式remainder of Taylor formula 带有拉格朗日型余项的泰勒公式Taylor formula with Lagrange remainder 带有拉格朗日型余项的麦克劳林公式extreme value of function 函数的极值test of extreme value 极值判断the first sufficient condition of extreme value 极值的第一充分条件 convexity and inflection point of function 函数的凸性和拐点 convex function 凸函数concave function 凹函数strictly convex function 严格凸函数strictly concave function 严格凹函数Jenson inequality 琴生不等式第七章实数的完备性实数击完备性的基本定理 fundamental theorems of completeness in the setof real numbersnested interval theorem 闭区间套定理Cauchy convergence criterion 柯西收敛准着 accumulation theorem 聚点定理finite covering theorem 有限覆盖定理upper and lower limits 上极限和下极限第八章 不定积分indefinite integral 不定积分primitive function 原函数integrand function 被积函数integral sign 积分符号expression of integrand 积分表达式integral constant 积分常数table of basic integrals 基本积分表 geometric meaning of indefinite 不定积分的几何意义 integral curve 积分曲线initial condition 初始条件 integration by parts 分部积分法 integration by substitutions 换元积分法formula of substitution of the first kind 第一换元公式 indefinite integral of rational function 有理函数的不定积分 proper fraction 真分式improper fraction 假分式 decomposition into partial fractions 部分分式分解 method of undermined coefficients 待定系数法第九章 定积分definite integral 定积分curvilinear trapezoid 曲边梯形dividing/partition 分割norm/modulus 模Riemann sum 黎曼和Riemann integral 黎曼积分 integrability in the sense of Riemann 黎曼可积interval of integration 积分区间upper and lower limits 上限和下限 geometric meaning of definite integral 定积分的几何意义 upper sum 上和lower sum 下和Darboux upper sum 达布上和Darboux lower sum 达布下和Newton-Leibniz formula 牛顿-莱布尼茨公式 necessary condition for integrability 可积的必要条件 necessary and sufficient conditions for integrability 可积的充要条件 integrable function class 可积函数类linear property of definite integral 定积分的线性性质 additive with respect to integral interval/additivityover integral interval积分区间的可加性 mean value theorem of integral 积分中值定理 average value 平均值integral with variant upper limit 变上限积分 existence of primitive function 原函数的存在性 integration by substitution 换元积分法 integration by parts 分部积分法integral form of reminder of Taylor formula 泰勒公式的积分类型 第十章 定积分的应用area of plane figure 平面图形的面积method of finding volume of a solid from the knows area of parallel sections 由平行截面面积求体积的方法arc length and curvature of plane curve 平面的曲线的弧长与曲率 smooth curve 光滑曲线differential of arc 弧微分circle of curvature 曲率圆radius of curvature 曲率半径area of revolution surface 旋转曲面的面积some applications of definite integral in physics 定积分在物理中的某些应用gravitation 引力work 功approximate computation of definite integral 定积分的近似计算 trapezoidal method 梯形法parabola method 抛物线法第十一章反常积分notion of improper integral 反常积分的概念 improper integral on infinite interval 无穷区间上的反常积分 improper integral of unbounded function 无界函数的反常积分 property of infinite integral and test of 无穷积分的性质和收敛判convergence 别absolutely convergent 绝对收敛comparison test 比较收敛法Cauchy test 柯西判别法Dirichlet test 狄利克雷判别法Abel test 阿贝尓判别法第十二章数项级数series with number terms 数项级数infinite series 无穷级数convergence of series 级数的收敛性 sequence of partial sum 部分和序列geometric series 几何级数harmonic series 调和级数Cauchy convergence criterion for series 级数收敛的柯西准则 series with positive terms 正项级数necessary condition for convergence 收敛的必要条件root test 根式判别法D’alembert(ratio) test 达朗贝尔判别法（比式判别法）limit form of ratio test 比式判别法的极限形式 Gauss test 高斯判别法integral test 积分判别法Raabe test 拉贝尓判别法p-series p级数series with arbitraty terms 一般项级数alternating series 交错级数Leibnitz test 莱布尼茨判别法 rearrangement of series 级数的重排Abel test 阿贝尓判别法Dirichlet test 狄利克雷判别法第十章 函数列与函数项级数convergent at x"在点x"收敛convergence domain/region of convergence 收敛域sum function 和函数limit function 极限函数series of functions 函数项级数uniform convergence 一致收敛test of uniform convergence 一致收敛判别法魏尔斯特拉判别法 Weierstrass’s test/Weierstrass uniformconvergence criterion/Weierstrass m-test foruniform convergenceuniform boundedness 一致有界Dirichlet test 狄利克列判别法第十四章幂级数power series 幂级数interval of convergence 收敛区间radius of convergence 收敛半径Abel theorem 阿贝尓定理operations of power series 幂级数的运算taylor series 泰勒级数expansion of power series of elementary function 初等函数的幂级数展开式 exponential function of complex variable 复变量的指数函数Euler formula 欧拉公式第十五章傅里叶级数Fourier series 傅里叶级数 trigonometric series 三角级数system of orthogonal functions 正交函数系simple harmonic vibration 简谐振动Fourier series for function of period 2π以2π为周期的函数的傅立叶级数angular frequency 角频率piecewise smooth 分段光滑Fourier coefficient 傅立叶系数 convergence theorem 收敛定理Fourier series of even and odd functions 奇函数与偶函数的傅立叶级数amplitude 振幅sine series 正弦级数cosine series 余弦级数periodic extension 周期延拓第十六章多元函数的极限与连续functions of several variables 多元函数plane point set 平面点集coordinate plane 坐标平面interior point 内点outer point 外点boundary point 界点boundary 边点isolated point 孤立点open set 开集closed set 闭集connectedness 连通性connected open set 连通开集open domain(region) 开域closed domain(region) 闭域bounded point set 有界点集unbounded point set 无界点集nested closed domain theorem 闭域套定理function of two variables 二元函数n-dimensional vector space n-维向量空间improper limit 非正常极限double limit 二重极限properties of continuous functions on bounded closed region 有界闭区域上连续函数的性质repeated limits 累次极限 total increment 全增量partial increment 偏增量第十七章多元函数微分学total differential 全微分partial derivative 偏导数continuously differentiate 连续可微tangent plane of surface 曲面的切平面normal plane of curve 曲线的法平面 differentiation of composite function 复合函数微分法chain rule for functions of several variables 多元函数的链式法则 invariance of differential form of first order 一阶微分形式的不变性 directional derivative and gradient 方向导数与梯度 differentiability 可微性Taylor formula 泰勒公式problem of extreme value 极值问题partial derivative of higher order 高阶偏导数mixed partial derivative 混合偏导数第十八章隐函数定理及其应用existence and uniqueness theorem of implicit隐函数存在唯一性定理 functionssystem of implicit functions 隐函数组functional determinant (Jacobian determinant) 函数行列式（雅可比行列式）system of inverse functions 反函数组coordinate transformation 坐标变换geometrical application 几何应用tangent line and normal line of plane curve 平面曲线的切线与法线 tangent line and normal plane of space curve 空间曲线的切线与法平面 conditional extremum 条件极值Lagrange multiplier method 拉格朗日乘数法第十九章 含参变量积分proper integral with parameter 含参量的正常积分 improper integral with parameter 含参量的反常积分Euler integral 欧拉积分 Weierstrass test 魏尔斯特拉判别法 Dicichlet test 狄利克雷判别法 improper integral with infinite bound 无穷限的反常积分 improper integral with unbounded 无界函数的反常积分 Gamma functionBeta function第二十章inner area 内面积outer area 外面积cylindrical body with tip surface 曲顶柱体fineness 细度integral region 积分区域double integral 二重积分x-type region x型区域y-type region y型区域triple integral 三重积分change of variable in triple integral 三重积分换元法 transformation of cylindrical 柱面坐标变换 transformation of spherical coordinates 球面坐标变换area of surface 曲面面积第十一章曲线积分第一型曲线积分 curvilinear integrals of the first kind/line integrationof 1-form第二型曲线积分 curvilinear integrals of the first kind/line integrationof 2-formrelation between two classes of curvilinear两次曲线积分的联系 integralsGreen formula 格林公式 independence of curvilinear integrals with曲线积分与路径无关性 pathsimple connected region 单连通区域complex connected region 复连通区域第二十二章曲面积分surface integral of the first kind 第一型曲面积分 surface integral of the second kind 第二型曲面积分 unilateral surface 单侧曲面bilateral surface/two sided face 双侧曲面right-hand rule 右手法则relation between two classes of surface integrals 两类曲面积分的关系 Gauss formula 高斯公式Stokes formula 斯托克斯公式 introduction to field 场论初步field of vectors 向量场gradient field 梯度场gravitation field 引力场divergence field 散度场rotation field 旋度场circulation 环流量。

1应用数学专业英语词汇英汉对照表A absolute value 绝对值acceptable region 接受域additivity 可加性adjusted 调整的alternative hypothesis 对立假设algorithm 算法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B balanced 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C calculate 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D data 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E eaqual 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F factor 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G gamma distribution 伽玛分布geometric mean 几何均值group 组H harmomic 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K kernal 核Kolmogorov-Smirnov test柯尔莫哥洛夫-斯米诺夫检验kurtosis 峰度L large 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 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M main 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N negative 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O one-sample 单样本one-tailed test 单侧检验one-way ANOVA 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P paired 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Q qadratic 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R random 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S sample 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T table 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U unbalanced 不平衡的unbiased estimation 无偏估计unbiasedness 无偏性uniform distribution 均匀分布V value 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W weight 加权，权重weighted average 加权平均值within groups 组内的Z Z score Z分数2. 最优化方法词汇英汉对照表A active constraint 活动约束active set method 活动集法analytic gradient 解析梯度approximate 近似arbitrary 强制性的argument 变量attainment factor 达到因子B bandwidth 带宽be equivalent to 等价于best-fit 最佳拟合bound 边界C coefficient 系数complex-value 复数值component 分量constant 常数constrained 有约束的constraint 约束constraint function 约束函数continuous 连续的converge 收敛cubic polynomial interpolation method 三次多项式插值法curve-fitting 曲线拟合D data-fitting 数据拟合default 默认的，默认的define 定义diagonal 对角的direct search method 直接搜索法direction of search 搜索方向discontinuous 不连续E eigenvalue 特征值empty matrix 空矩阵equality 等式exceeded 溢出的F feasible 可行的feasible solution 可行解finite-difference 有限差分first-order 一阶G Gauss-Newton method 高斯-牛顿法goal attainment problem 目标达到问题gradient 梯度gradient method 梯度法Hhandle 句柄Hessian matrix 海色矩阵I independent variables 独立变量inequality 不等式infeasibility 不可行性infeasible 不可行的initial feasible solution 初始可行解initialize 初始化inverse 逆invoke 激活iteration 迭代iteration 迭代J Jacobian 雅可比矩阵L Lagrange multiplier 拉格朗日乘子large-scale 大型的least square 最小二乘least squares sense 最小二乘意义上的Levenberg-Marquardt method列文伯格-马夸尔特法line search 一维搜索linear 线性的linear equality constraints 线性等式约束linear programming problem 线性规划问题local solution 局部解M medium-scale 中型的minimize 最小化mixed quadratic and cubic polynomial interpolation and extrapolation method 混合二次、三次多项式内插、外插法multiobjective 多目标的N nonlinear 非线性的norm 范数O objective function 目标函数observed data 测量数据optimization routine 优化过程optimize 优化optimizer 求解器over-determined system 超定系统P parameter 参数partial derivatives 偏导数polynomial interpolation method多项式插值法Q quadratic 二次的quadratic interpolation method 二次内插法quadratic programming 二次规划R real-value 实数值residuals 残差robust 稳健的robustness 稳健性，鲁棒性S scalar 标量semi-infinitely problem 半无限问题Sequential Quadratic Programming method 序列二次规划法simplex search method 单纯形法solution 解sparse matrix 稀疏矩阵sparsity pattern 稀疏模式sparsity structure 稀疏结构starting point 初始点step length 步长subspace trust region method 子空间置信域法sum-of-squares 平方和symmetric matrix 对称矩阵T termination message 终止信息termination tolerance 终止容限the exit condition 退出条件the method of steepest descent 最速下降法transpose 转置U unconstrained 无约束的under-determined system 负定系统V variable 变量vector 矢量W weighting matrix 加权矩阵3 样条词汇英汉对照表A approximation 逼近array 数组a spline in b-form/b-spline b样条a spline of polynomial piece /ppform spline分段多项式样条B bivariate spline function 二元样条函数break/breaks 断点C coefficient/coefficients 系数cubic interpolation 三次插值/三次内插cubic polynomial 三次多项式cubic smoothing spline 三次平滑样条cubic spline 三次样条cubic spline interpolation三次样条插值/三次样条内插curve 曲线D degree of freedom 自由度dimension 维数E end conditions 约束条件I input argument 输入参数interpolation 插值/内插interval 取值区间K knot/knots 节点L least-squares approximation 最小二乘拟合M multiplicity 重次multivariate function 多元函数O optional argument 可选参数order 阶次output argument 输出参数P point/points 数据点R rational spline 有理样条rounding error 舍入误差（相对误差）S scalar 标量sequence 数列（数组）spline 样条spline approximation 样条逼近/样条拟合spline function 样条函数spline curve 样条曲线spline interpolation 样条插值/样条内插spline surface 样条曲面smoothing spline 平滑样条T tolerance 允许精度U univariate function 一元函数V vector 向量W weight/weights 权重4 偏微分方程数值解词汇英汉对照表A absolute error 绝对误差absolute tolerance 绝对容限adaptive mesh 适应性网格B boundary condition 边界条件C contour plot 等值线图converge 收敛coordinate 坐标系D decomposed 分解的decomposed geometry matrix 分解几何矩阵diagonal matrix 对角矩阵Dirichlet boundary conditionsDirichlet边界条件E eigenvalue 特征值elliptic 椭圆形的error estimate 误差估计exact solution 精确解G generalized Neumann boundary condition推广的Neumann边界条件geometry 几何形状geometry description matrix 几何描述矩阵geometry matrix 几何矩阵graphical user interface（GUI）图形用户界面H hyperbolic 双曲线的I initial mesh 初始网格J jiggle 微调L Lagrange multipliers 拉格朗日乘子Laplace equation 拉普拉斯方程linear interpolation 线性插值loop 循环M machine precision 机器精度mixed boundary condition 混合边界条件N Neuman boundary condition Neuman边界条件node point 节点nonlinear solver 非线性求解器normal vector 法向量P Parabolic 抛物线型的partial differential equation 偏微分方程plane strain 平面应变plane stress 平面应力Poisson's equation 泊松方程polygon 多边形positive definite 正定Q quality 质量R refined triangular mesh 加密的三角形网格relative tolerance 相对容限relative tolerance 相对容限residual 残差residual norm 残差范数。

Aa priori distribution 先验分布a priori probability 先验概率a summable a可和的abacus 算盘abbreviate 略abbreviation 简化abridge 略abridged notation 简算记号abscissa 横坐标abscissa of absolute convergence 绝对收敛坐标abscissa of summability可和性坐标abscissa of uniform convergence 一致收敛横坐标absolute 绝对形absolute address 绝对地址absolute class field 绝对类域absolute coding 绝对编码absolute cohomology 绝对上同调absolute conic 绝对二次曲线absolute convergence 绝对收敛absolute curvature vector绝对曲率向量absolute deviation 绝对偏差absolute differential calculus绝对微分学absolute error 绝对误差absolute extremes /extremum绝对极值absolute frequency/ geometry绝对频率/几何absolute inequality 绝对不等式absolute instability 绝对不稳定性absolute maximum /minimum绝对极大/小值absolute moment /neighborhood 绝对矩/邻域absolute neighborhood retract绝对邻域收缩核absolute norm 绝对范数absolute number 不名数absolute parallelism 绝对平行性absolute quadric 绝对二次曲面absolute ramification index绝对分歧指数absolute rotation 绝对旋转absolute space 绝对空间absolute space time 绝对时空absolute term 常数项absolute unit 绝对单位absolute value 绝对值absolute value sign 绝对值符号absolute velocity 绝对速度absolutely continuous 绝对连续的absolutely continuous distribution 、function /measure/part绝对连续分布/函数/测度/部分absolutely continuous transformation绝对连续变换absolutely convergent 绝对收敛的absolutely convergent integral series绝对收敛积分/级数absolutely convex hull 绝对凸包absolutely discontinuous function 绝对不连续函数absolutely integrable 绝对可积的absolutely irreducible character/representation /variety绝对不可约特征/表示/簇absolutely normal number绝对范数absolutely prime ideal 绝对素理想absolutely unbiased estimator绝对无偏估计量absolutely unramified extension绝对非分歧扩张absorbing barrier/ set/ state吸收障碍/集/态absorption 吸收absorption coefficient/curve /factor/index/law/probability吸收系数/曲线/因数/指数/律/概率abstract 抽象的abstract algebra /mathematics抽象代数/数学abstract algebraic geometry抽象代数几何abstract category 抽象范畴abstract complex 抽象复形abstract group 抽象群abstract interval function抽象区间函数abstract number 不名数abstract ordered simplicial complex 抽象有序单纯复形abstract simplex 抽象单形abstract space 抽象空间abstraction 抽象abstraction operator 抽象算子absurd 谬论的absurdity 谬论accelerated motion 加速运动acceleration 加速度acceleration of convergence收敛性的加速acceleration of gravity 重力加速度acceptable quality level合格质量水平acceptance 肯定acceptance inspection 接受检查acceptance limit /line/ number接受界限/线/数acceptance probability/ region /zone接受概率/区域/带access 存取accessibility 可达性accessible boundary point /point /set可达边界点/点/集accessible ordinal number可达序数accessible vertex 可达顶点accessory extremal 配连极值accidental 偶然的accidental coincidence 偶然符合accidental error 随机误差accommodationaccumulated error 累积误差accumulating point 聚点accumulation 累积accumulation point 聚点accumulator 累加器存储器accuracy 准确性accuracy grade/rating准确度accuracy of measurement测量精确度acnod 孤点acount 计算action integral 酌积分action variable 酌变量active restriction 有效限制actual 真实的actual infinity 实无穷acute 尖锐的acute angle 锐角acute angled triangle; acute triangle 锐角三角形acuteness 锐度acyclic 非循环的acyclic complex 非循环复形ad infinitum 无穷地adams circle 阿达姆斯圆adams extrapolation method阿达姆斯外插法adaptability 适应性adaptation 适应adapted basis 适应基add,plus 加added circuit 加法电路addend 加数adder 加法器addition 加法addition formulas 加法公式addition sign 加号addition system 加法系addition table 加法表addition theorem 加法定理addition theorem of probability概率的加法定理additional /additive加法的additional code 附加代码additional condition 附加条件additive category 加性范畴additive class 加性类additive functional 加性泛函数additive operator/process /relation加性算子/过程/关系additive separable 加法可分的additive theory of numbers 堆垒数论additivity 加法性address 地address part 地址部分address register 地址寄存器addressing 指定箱位adele 阿代尔adele group 阿代尔群adequate 适合的adherent point 触点adhesion 附着adjacency 邻接adjacency matrix 邻接矩阵adjacent angles/edge/side/ vertex邻角/棱/边/顶adjacent supplementary angles 邻角adjoint boundary value problem 伴随边值问题adjoint determinant 伴随行列式adjoint difference equation伴随差分方程(differential 微分)adjoint differential expression伴随微分式adjoint form/ function/ functor/group伴随形式/函数/函子/群adjoint graph 导出图adjoint linear map 伴随线性映射adjoint matrix 伴随阵(operator算子process过程representation表示space空间surface曲面system系)adjoint system of differential equations 微分方程的伴随系adjoint transformation 伴随算子adjoint vector 伴随向量adjunct 代数余子式adjunction 附加adjunction of an identity element 单位元的附加admissibility limit 容许界限admissible 容许的admissible category /chart容许范畴/容许图admissible control 可行控制admissible decision function/ rule容许判决函数admissible deformation容许形变(domain区域function函数homomorphism 同态,hypothesis假设lifting提升map 映射sequence序列space空间strategy策略subgroup 子群test检定value值)affine algebraic set 仿射代数集(collineation直射变换connection联络curvature曲率)affine coordinates 平行坐标affine differential geometry仿射微分几何学affine distance 仿射距离affine group scheme 仿射群概型affine isothermal net 仿射等温网affine length /line /normal parameter仿射长度/直线/法线/参数affine principal curvature 仿射助率affinity 仿射变换affirmation 肯定affirmative proposition 肯定命题affix 附标after effect 后效酌aggregate 集aggregation 聚合agreement 一致air coordinates 空间坐标algebra 代数学algebra of events 事件场algebra of logic 逻辑代数algebra of tensors 张量代数algebra over k 环k上的代数algebraic 代数的algebraic adjunction 代数的附加algebraic branch point 代数分歧点algebraic calculus 代数计算algebraic closure 代数闭包algebraic closure operator代数闭包算子algebraic complement/cone代数余子式/锥algebraic correspondence 代数对应algebraic curve 代数曲线algebraic expression 代数式algebraic hull 代数包algebraic integer/irrational number 代数整数/无理数algebraic lie algebra 代数的李代数algebraic logic of pocket calculator 袖珍计算机的代数逻辑algebraic multiplicity 代数重度algebraic number 代数数algebraic operation 代数运算algebraic polynomial 代数多项式algebraic singularity 代数奇点algebraic space 代数空间algebraic spiral 代数螺线algebraic structure 代数结构algebraic sum /system 代数和/系algebraically closed field 代数闭域algebraically equivalent 代数等价的algebraically dependent elements代数相关元(independent无关)algebraization 代数化algebro geometric 代数几何的algebroid function 代数体函数algebroidal function 代数体函数algorithm 算法algorithm of division 辗转相除法algorithm of euclid 欧几里得算法algorithm theory 算法论algorithmic language 算法语言algorithmization 算法化alignment chart 列线图aliquot part 整除部分alligation 混合法allocation problem 配置问题allowable 容许的allowable defects 容许靠allowable error 容许误差allowance 允许almost all 几乎处处almost certain convergence几乎必然收敛almost everywhere 几乎处处almost impossible event 殆不可能事件almost invariant set 殆不变集almost periodic function 殆周期函数alpha capacity 容量alpha limit set 极限集alphabetical 字母的alphanumeric 字母数字式alphanumeric representation ofinformation 信息的字母数字表示alternate angles 错角alternating chain 交错链alternating differential form外微分形式alternating differential of differential form 微分形式的交错微分alternating direction method交替方向法alternating form 交错形式alternating function 反对称函数alternating group 交错群alternating harmonic series莱布尼兹级数alternating matrix 交错矩阵alternating method 交错法alternating product 外积alternating sequence 交错序列alternating series 交错级数alternating series test交错级数检验alternating sum 交错和alternation 交错alternative 交错;择一alternative algebra /field交错代数/域alternative hypothesis 择一假设alternative normal form 析取范式alternative proposition 选言命题altitude 高度altitude theorem 高度定理amalgamated product 融合积amalgamation 合并ambiguous point 歧点amicable numbers 亲和数amount 量amplitude 振幅;角amplitude of a complex number 复数角analog computer 模拟计算机analogous 类似的analogue display 相似表示analogue method 相似法analogy 类似analysis 数学分析analysis of time series 时间序列分析analysis of variance 方差分析analytic 分析的analytic arc 解析弧analytic completion /continuation解析开拓analytic curve 解析曲线dynamics 分析动力学analytic expression 解析式analytic function 分析函数analytic function of several variables 多元解析函数analytic geometry 分析几何学analytic index 解析指数analytic manifold 解析廖analytic method 解析法analytic proposition 解析命题analytic set 解析集analytic space 解析空间analytical differential 解析微分analytical geometry 分析几何学analytical hierarchy 解析分层analytical mappinganalytical transformation全纯映射analytically representable function 解析可表示的函数ancillary statistic 辅助统计量angle 角angle at center 圆心角angle between chord and tangent弦和切线的角angle function 角函数angle of contingence 切线角angle of declination 俯角angle of inclination 斜角angle of intersection 相交角angle of reflection 反射角angle of refraction 折射角angle of rotation 旋转角angular 角的angular acceleration 角加速度angular coefficient 角系数angular coordinates 角坐标angular displacement 角位移angular distance 角距angular distribution 角分布angular domain 角域angular frequency 角频率angular magnification 角放大率angular measure 角测度angular metric 角度量angular momentum 角动量angular velocity 角速度anharmonic ratio 交比annihilator /annulator 零化子annular 环annulus 圆环anomalous propagation 反常传播anomalous scattering 反常散射antecedent 前项anti reflexiveness 反自反性antianalytic function 反解析函数anticlockwise 逆时针的anticlockwise revolution/rotation逆时针回转antiderivative 不定积分的antiisomorphy 反同构antilinear 反线性的antilinear mapping 反线性映射antiparallel 逆平行的antiplane 反平面antipodal map 对映映射antipodal point 对映点antipodal set 对映集antipode 对映点antisymmetric 反对称的antisymmetric function 反对称函数antisymmetrical state 反对称态antitone mapping 反序映射antitonicity 反序性antitony 反序性antitrigonometric function反三角函数apex 顶点apex angle 顶角apical angle 顶角apolar 非极性的apolarity 从配极性apothem 边心距apparent error 貌似误差application 应用applied mathematics 应用数学applied mechanics 应用力学approach 接近approach infinity 接近无穷大approximability 可逼近性approximable 可逼近的approximate 近似的;使近似approximate calculation 近似计算approximate continuity 近似连续性approximate differentiability近似可微性approximate integration 近似积分approximate limit 近似极限approximate number 近似数approximate partial derivative近似偏导函数(近似导数)approximate partial derived function approximate partial /total differential 近似偏/全微分approximate solution 近似解approximate total differentiability 近似全可微性approximate value 近似值approximately equal 近似等于approximation 逼近approximation calculus 近似计算approximation error 近似误差approximation function 逼近函数approximation theory 逼近理论arbitrarily small 任意小arbitrary 任意的arbitrary constant/element /parameter 任意常数/元素/参数arbitrary small number 任意小数arc 弧arc component 弧分量arc cosecant 反余割arc hyperbolic function 反双曲函数arc length 弧长arc of a circle 圆弧arc set 弧集arc sine 逆正弦arc sine law 反正弦定律arc sine transformation 反正弦变换arc tangent 反正切arch 拱形archimedean 阿基米德性的archimedean group 阿基米德群archimedean semigroup阿基米德半群archimedean space 阿基米德空间archimedean total order ~ ~ 全序archimedean valuation ~ ~ 赋值archimedes axiom 阿基米德公理archimedes spiral 阿基米德螺线arcwise connected set 弧连通集arcwise connected space弧连通空间arcwise connectedness 弧连通性are 公亩area 面积area function 面积函数area of a circle 圆面积areal coordinates 重心坐标areal derivative 面积导数areal element 面积元素areal integral 面积分areal velocity 面积速度argand plane 复数平面argument 自变数;辐角argument function 辐角函数argument of a function函数的自变数argument principle 辐角原理argumentation 论证aristotelian logic亚里斯多德逻辑学arithmetic 算术arithmetic difference 算术差arithmetic division 算术除法arithmetic element 运算元素arithmetic expression 算术表达式arithmetic function 数论函数arithmetic genus 算术狂arithmetic geometric mean/ series算术几何平均/级数arithmetic mean 算术平均arithmetic number 正实数arithmetic of algebraic number fields 代数数域的数论arithmetic of algebras 代数的数论arithmetic of local fields局部域的数沦arithmetic operation算术操作算术运算arithmetic progression 算术级数arithmetic subgroup 算术子群arithmetic unit 运算元素arithmetics 算术arithmetization 算术化arithmometer 四则计算机arrangement 排列array 排列arrow 射artificial variable 人工变量artificial variable method 人工变量法ascending difference 后向差分ascending power series 升幂级数ascending powers 升幂ascending sequence 递升序列aspherical space 非球面空间asphericity 非球面牲assemblage 集assembler 汇编assertion sign 断定号assignable cause 可指定的原因assignment problem 配置问题associate equation 相伴方程associated equation 相伴方程associated radius of convergence 相伴收敛半径associated space 相伴空间association 结合associative algebra 结合代数associative law 结合律associative law for series级数的结合律associativity 结合性assume 假定assumption 假定assumption formula 假定公式asterisk 星号asteroid 星形线asymmetric 非对称的asymmetric relation 非对称关系asymmetrical 非对称的asymmetrical graph 恒等图asymmetry 非对称性asymptote 渐近线asymptote of curve 曲线的渐近线asymptotic 浙近的asymptotic behavior 渐近状态asymptotic circle 渐近圆asymptotic line 渐近线asymptotic point 渐近点asymptotic value 渐近值asymptotically equal 渐近相等asymptotically equal sequence渐近相等序列asymptotically equivalent function 渐近等价函数asymptotically normal distribution 渐近正态分布asymptotically normally distributed 渐近正规分布的asynchronous computer异步计算机atlas 坐标邻域系atom 原子atomic element 原子元素atomic formula 原子公式atomic lattice 原子格atomic proposition 原子命题atomicity 原子性attaching map 接着映射attenuation 衰减attenuation constant 衰减常数attraction 引力attractive force 引力attractor 吸引区attribute 属性augend 被加数augmentation 扩张augmentation preserving map增广保存映射augmented complex 扩张复形augmented matrix 增广矩阵austausch 交换autocorrelation 自相关autocorrelation coefficient/function自相关系数/函数automatic testing 自动检验automation 自动化automaton graph 自动机图auxiliary 辅助的auxiliary angle 辅助角auxiliary circle 辅助圆auxiliary equation 相伴齐次方程auxiliary function 辅助函数auxiliary line 辅助线auxiliary variable 辅助变数average 平均值average deviation 平均偏差average error 平均误差average life 平均寿命average sample number平均样本数average speed 平均速度average term 普通项average time /value平均时间/值averaging 取平均数averaging method 平均法averaging operator 平均算子axes of coordinates 座标轴axial 轴的axial symmetry 轴对称axiom 公理axiom of accessibility 可达性公理axiom of addition 加法公理axiom of choice 选择公理axiom of completeness 完备性公理axiom of the empty set 空集公理axiom of union 并集公理axiom scheme 公理格式axiomatic 公理的axiomatic method 公理法axis 轴axis of a cone 锥轴axis of abscissas 横坐标轴axis of absolute convergence 绝对收敛轴axis of affinity 仿射轴axis of convergence 收敛轴axis of coordinate 坐标轴axis of ordinates 纵坐标轴axis of projection 射影轴axis of reals 实轴axis of symmetry 对称轴axisymmetric 轴对称的axonometry 轴测法azimuth 方位角azimuthal 方位角的Bb measurability b可测性back substitution 逆计算backward difference 后向差分backward difference operator 后向差分算子backward difference quotient 后向差商baire function 贝利函数baire measure 贝利测度balance 平衡balanced category 平衡范畴balanced hypergraph 平衡超图balayage 扫除ball 球ballistic curve 弹道banach algebra 巴拿赫代数banach space 巴拿赫空间band 带band chart 带状图band matrix 带状矩阵bar diagram 条线图(bar graph) barrel 桶集barrel shape 桶型barrelled space 桶型空间barrier 闸barycenter 重心barycentric 重心的barycentric complex 重心复形base 底base angle 底角base line 底线base number 底数base of logarithms 对数的底base point 基点base register基址寄存器变址寄存器base space 底空间base vector 基向量basic 基础的basic block /field/ form基本块/形式/基域basic point 基础点basic representation 基本表示basic ring 基环basic solution 基本解basic symbol 基本符号basic variable 基本变量basis 基basis of linear space 线性空间的基basis of vector space 向量空间的基basis replacement procedure基替换过程basis theorem of hilbert希耳伯特基定理basis vector 基本向量batch processing 成批处理bayes decision function贝叶斯判定函数bayes formula 贝叶斯公式bayes postulate 贝叶斯公假设bayes solution 贝叶斯解behavior 行为behavior strategy 行为策略bellman principle 贝尔曼原理beltrami equation 贝尔特拉米方程bending point 转向点bergman metric 伯格曼度量bernoulli equation 伯努利方程bernoulli inequality 伯努利不等式bernoulli method 伯努利法bernoulli number/polynomial伯努利数/多项式bernstein polynomial伯思斯坦多项式bessel inequality 贝塞耳不等式bessel integral 贝塞耳积分best approximation 最佳逼近best estimator 最佳估计量best test 最佳检验best uniform approximation最佳一致逼近beta distribution 分布beta function 函数betti group 贝蒂群betti number 贝蒂数between group variance 群间方差biadditive 双加法的biangular 双角的bias 偏倚biased estimator 有偏估计量biased sample 有偏样本biased statistics 有偏统计量biased test 有偏检验biaxial 双轴的bicartesian square 双笛卡儿方bicompact set 紧集bicompact space 列紧空间biconditional 等价bicontinuous function 双连续函数bicylinder 双圆柱bidimensional 二维的bidimensionality 二维性bifurcation point 歧点bifurcation theory 分歧理论bigraded group 双重分次群bihomomorphism 双同态bijection (bijective mapping)双射bijectivity 双射性bilateral 两面的bilinear 双线性的bilinear form 双线性形式bilinear functional 双线性泛函bilinearity 双线性binary 二元的binary arithmetic 二进制算术binary code 二进制码binary coding 二进制编码binary digit 二进制数字binary digital computer二进制数字计算机binary element 双态元件binary number 二进制数binary number system 二进制数系binary operation 二元运算binary point 二进制小数点binary relation 二元关系binary system 二进制的binary translation 二进制变换bind 连结binomial 二项式binomial coefficient 二项式系数binomial differential 二项式微分binomial differential equation二项微分方程binomial distribution 二项分布binomial equation 二项方程binomial expansion 二项展开式binomial integral 二项式积分binomial series 二项级数binomial theorem 二项式定理biomathematic 生物数学的biomathematics 生物数学biomechanics 生物力学biometrics 生物统计学biometrika 生物统计学biophysics 生物物理学biorthogonal system 双正交系biorthonormal expansion双标准正交展开Biorthonormalization双标准正交化birth rate 出生率bisect 平分bisecting point 平分点bisection 平分bisector 平分线bisector of angle 角的平分线biunique 一对一的bivalent 二价的bivariate distribution 二维分布bivariate distribution function二元分布函数bivariate frequency function二元频率函数bivariate normal distribution二元正态分布bivariate population 二元总体bivector 二重向量block 块block design 区组设计block relaxation 块松弛block tridiagonal matrix块三对角阵blockdiagram 立体图body 体body of revolution 旋转体boole function 布尔函数boolean algebra 布尔代数boolean optimization 布尔最优化boolean ring/vector布尔环/向量border 边缘border element 边缘元素border of the domain 域的边缘border set 边缘集bordered matrix 加边矩阵bornological set 有界型集bornological space 有界型空间bornology 有界型性bound 界bound decision variable约束决策变量bound term 约束项boundary 边界;边缘boundary collocation 边界配置boundary condition 边界条件boundary correspondence 边界对应boundary curve 边界曲线boundary element method边界元法boundary interval 边界区间boundary layer 边界层boundary line 界线boundary point 边界点boundary simplex 边界单形boundary strip 边界带boundary surface 带边界曲面boundary value 边界值boundary value problem 边值问题bounded 有界的bounded above/ below 上/下有界的bounded above/ below sequence上/下有界序列bounded chain 有界链bounded closed set 有界闭集bounded domain 有界域bounded sequence 有界序列bounded set 有界集合bounded to the downwards/ upwards 下/上有界的boundedness 有界性bounding manifold 边界廖bounding surface 边界曲面boundless 无限的box 框brace 大括号bracket 括号brachistochrone 最速降线brachistochrone problem最速降线问题bracket operation 括号运算bragg curve 布喇格曲线braid 辫braid group 辫群branch 分支branch line 分枝线branch of a curve 曲线的分枝branch of function 函数的分枝branch point 分枝点branching 分枝branching process 分枝过程breadth 幅break point 断点;分割点briggs' logarithm 常用对数briggsian logarithm 常用对数broken line 折线broken number 分数brownian motion 布朗运动brownian movement 布朗运动buckling 弯曲budget 顸算buffer 缓冲器bundle 束bundle of planes 平面把bundle of rays 线把bundle of spheres 球把bundle space 丛空间bus 母线byte 字节c function c类函数c mapping c类映射ca set 上解析集calculability 可计算性calculable mapping 可计算映射calculable relation 可计算关系calculate 计算calculation 计算calculating automaton 计算自动机calculating circuit 计算电路calculating element 计算单元calculating machine 计算机calculating punch 穿孔计算机calculating register 计算寄存器calculating unit 计算装置calculation of areas 面积计算calculator 计算机calculus 演算calculus of approximations近似计算calculus of errors 误差论calculus of finite differences差分法calculus of probability 概率calibration 校准canal 管道canal surface 管道曲面cancel 消去cancellation 消去cancellation law 消去律cancelling of significant figures 有效数字消去canonical basis 典范基canonical coordinates 标准坐标canonical decomposition 标准分解canonical equation 典型方程canonical form 标准型canonical function 标准函数canonical homomorphism标准同态canonical image 标准象canonical mapping 标准映射canonical solution 标准解canonical system of differential equations 标准微分方程组canonical variable 典型变量cap 交cap product 卡积capacity 容量card 卡片card reader 卡片读数器cardinal 知的cardinal number 基数cardinal product 基数积cardioid 心脏线carrier 支柱carry 进位carry signal 进位信号cartesian coordinate system笛卡儿坐标系cartesian coordinates 笛卡尔座标cartesian equation 笛卡儿方程cartesian folium 笛卡儿叶形线cartesian product 笛卡儿积cartesian space 笛卡儿空间catastrophe theory 突变理论categorical judgment 范畴判断categorical proposition 范畴判断categorical theory 范畴论categoricity 范畴性category 范畴category of modules 模的范畴category of sets 集的范畴category of topological spaces拓扑空间的范畴causal relation 因果关系causality 因果律cause 原因ccr algebra ccr代数celestial body 天体celestial coordinates 天体坐标celestial mechanics 天体力学cell 胞腔center 中心cell complex 多面复形center of a circle 圆心center of curvature 曲率中心center of expansion 展开中心center of force 力心center of gravity 重心center of gyration 旋转中心center of mass 质心center of pressure 压力中心center of symmetry 对称中心centered process 中心化过程centi 厘centigram 厘克centimetre 厘米central angle 圆心角central confidence interval中心置信区间central line 中线central point 中心点centre of a circle 圆心centre of gyration 旋转中心centrifugal force 离心力centripetal acceleration 向心加速度centroid 形心certain event 必然事件certainty 必然chain 链chance 偶然性;偶然的chance event 随机事件chance move 随机步chance quantity 随机量chance variable 机会变量change 变化change of metrics 度量的变换change of the base 基的变换change of the variable 变量的更换channel 信道channel width 信道宽度character 符号characteristic 特征characteristic boundary value problem 特者值问题characteristic class 示性类charge 电荷chart 图chebyshev function 切比雪夫函数chebyshev inequality /polynomial 切比雪夫不等式/多项式check 校验check digit 检验位chi square distribution 分布chi squared test 检验choice function 选择函数chord 弦chord line 弦chord of contact 切弦chordal distance 弦距离christoffel symbol克里斯托弗尔符号cipher 数字circle 圆circle diagram 圆图circle of contact 切圆circle of convergence 收敛圆circulant 循环行列式circulant matrix 轮换矩阵circular 圆的circular arc 圆弧circular cone 圆锥circular cylinder 圆柱circular disk 圆盘circular domain 圆形域circular frequency 角频率circular functions 圆函数circular measure 弧度circular ring 圆环circular section 圆截面circular sector 圆扇形circulation 循环circumcenter 外心circumcentre 外心circumcircle 外接圆circumscribe 外接circumscribed circle 外接圆circumsphere 外接球class 类class field 类域classical mechanics 经典力学classical sentential calculus经典语句演算classical set theory 经典集论classical statistical mechanics经典统计力学classical theory of probability经典概率论classification 分类classification statistic 分类统计classification theorem 分类定理classify 分类classifying map 分类映射classifying space 分类空间clear 擦去clockwise 顺时针的clockwise direction 顺时针方向clockwise rotation 顺时针旋转clopen set 闭开集closable linear operator可闭线性算子closable operator 可闭算子closed ball 闭球closed circuit 闭合电路closed convex hull 闭凸包closed domain 闭域closed half plane 闭半平面closed half space 闭半空间closed hull 闭包closed interval 闭区间closed kernel 闭核coder 编器codomain 上域coefficient 系数coefficient domain 系数域coefficient function 系数函数coefficient functional 系数泛函coefficient group 系数群coefficient of alienation不相关系数coefficient of association 相伴系数coefficient of covariation 共变系数cofunction 余函数coincidence 一致coincidence point 叠合点coincident 重合的collect 收集collective 集体collinear diagram 列线图collinear points 共线点collinear vectors 共线向量collinearity 共线性collineation 直射变换collineation group 直射群collineatory transformation直射变换collocation method 配置法collocation of boundary 边界配置collocation point 配置点column 列column finite matrix 列有限矩阵column matrix 列阵column rank 列秩column space 列空间column vector 列向量combination 组合command 命令commensurability 可通约性commensurable 可通约的common denominator 公分母common difference 公差common divisor 公约数common factor 公因子common factor theory 公因子论common fraction 普通分数common logarithm 常用对数common point 公共点common ratio 公比commutant 换位commutation law 交换律commutation relation 交换关系commutative 可换的commutative diagram 交换图表commutative group 交换群commutative groupoid 阿贝耳广群commutative law 交换律commutative lie ring 交换李环commutative ring 交换环commutativity 交换性commutator 换位子commutator group 换位子群commute 交换compact 紧的compact convergence 紧收敛compact group 紧群compact open topology紧收敛拓扑compact operator 紧算子compact set 紧集compact space 紧空间compact subgroup 紧子群comparison function 比较函数comparison method 比较法comparison series 比较用级数comparison test 比较检验comparison theorem 比较定理compatibile condition 相容性条件compatibility 一致性compatibility condition相容性条件compensate 补偿compensating method 补偿法compensation 补偿compensation of error 误差的补偿compiler 编译程序compiling routine 编译程序complanar line 共面线complele induction 数学归纳法complement 补集complement of an angle 余角complementary 补的complementary angle 余角complementary set 补集complementary space 补空间complete continuity 完全连续性complete disjunction 完全析取complete field 完全域complete field of sets 集的完全域complete graph/group 完全图/群complete induction 数学归纳法complete space 完备空间complete subcategory 完全子范畴complete system 完备系completely additive 完全加性的completely additive family of sets 完全加性集族completely continuous mapping全连续映射(operator)completely distributive lattice完全分配格completely homologous maps完全同党射completely independent system of axioms 完全独立公理系统completion 完备化complex 复形complex conjugate 复共轭的complex conjugate matrix复共轭阵complex curve 复曲线complex curvelinear integral复曲线积分complex domain 复域complex field 复数域complex flnction 复值函数complex fraction 繁分数complex group 辛群complex line 复线complex line bundle 复线丛complex manifold 复廖complex multiplication 复数乘法complex number 复数complex number plane 复数平面complex plane with cut有割的复平面complex quantity 复量complex root 复根complex series 复级数complex sphere 复球面complex variable 复变量complex vector bundle 复向量丛complexity 复杂性complication 复杂化component 分量composable 组成的compose 组成composite 合成composite divisor 合成除数composite function 合成函数composite functor 合成函子composite group 合成群composite hypothesis 复合假设composite number 合成数computable function 可计算函数computation 计算computational error 计算误差computational formula 计算公式computational mistake 计算误差compute 计算computer 计算机computing center 计算中心computing element 计算单元computing machine 计算机computing time 计算时间concave 凹的concave angle /curve凹角/曲线concave function 凹函数concave polygon 凹多边形concavity 凹性concavo convex 凹凸的concentration 集中;浓度concentration ellipse 同心椭圆concentric circles 同心圆concept 概念conclusion 结论concurrent planes 共点面concyclic points 共圆点condensation point 凝聚点conditional convergence 条件收敛conditionally convergent 条件收敛的conditionally convergent series条件收敛级数cone 锥cone of a complex 复形锥面cone of a simplex 单形锥面confidence belt 置信带confidence coefficient 置信系数confidence interval 置信区间confidence level 置信水平confidence limit 置信界限confidence region 置信区域configuration 布局confirmation 证实confrontation 比较confusion 混乱congruence 同余式congruence group 同余群congruence method 同余法congruence subgroup 同余子群congruence zeta function 同余函数congruent 同余的congruent mapping 合同映射congruent number 同余数congruent transformation 合同映射conic 圆锥曲线conic function 圆锥函数conic section 圆锥曲线conical helix 圆锥螺旋线conical surface 锥面conics 圆锥曲线论conjugate 共轭的conjugate axis 共轭轴conjugate class 共轭类conjugate complex 共轭复形conjugate complex number共轭复数。

1. 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2 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 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 多边的其它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 year(leap 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。

数值分析中常用数学词汇英中文对照abbreviation 简写符号;简写absolute error 绝对误差absolute value 绝对值accelerate 加速accumulation 累积accuracy 准确度act on 施于action 作用; 作用力add 加addition 加法addition formula 加法公式addition law 加法定律additive property 可加性adjoint matrix 伴随矩阵algebra 代数algebraic 代数的algebraic equation 代数方程algebraic expression 代数式algebraic fraction 代数分式;代数分数式algebraic inequality 代数不等式algebraic number 代数数algebraic operation 代数运算algorithm 算法系统; 规则系统alternating series 交错级数alternative hypothesis 择一假设; 备择假设; 另一假设analysis 分析;解析angle 角anti-clockwise direction 逆时针方向;返时针方向anti-derivative 反导数; 反微商anti-logarithm 逆对数;反对数anti-symmetric 反对称approach 接近;趋近approximate value 近似值approximation 近似;略计;逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积argument (1论证; (2辐角argument of a function 函数的自变量arithmetic 算术array 数组; 数组ascending order 递升序ascending powers of X X 的升幂assumption 假定;假设asymmetrical 非对称asymptote 渐近augmented matrix 增广矩阵average 平均;平均数;平均值axiom 公理back substitution 回代base (1底;(2基;基数basis 基belong to 属于bias 偏差;偏倚billion 十亿binary number 二进数binary operation 二元运算binary system 二进制binomial 二项式bisection method 分半法;分半方法boundary condition 边界条件boundary line 界(线;边界bounded 有界的bounded above 有上界的;上有界的bounded below 有下界的;下有界的bounded function 有界函数bounded sequence 有界序列brace 大括号bracket 括号breadth 阔度calculation 计算calculator 计算器;计算器calculus (1 微积分学; (2 演算cancel 消法;相消Cartesian coordinates 笛卡儿坐标category 类型;范畴centre 中心;心chain rule 链式法则chance 机会change of base 基的变换change of variable 换元;变量的换characteristic equation 特征(征方程characteristic function 特征(征函数characteristic root 特征(征根chart 图;图表check digit 检验数位checking 验算circle 圆classification 分类clockwise direction 顺时针方向clockwise moment 顺时针力矩closed convex region 闭凸区域closed interval 闭区间coefficient 系数cofactor 余因子; 余因式coincide 迭合;重合collection of terms 并项collinear 共线collinear planes 共线面column (1列;纵行;(2 柱column matrix 列矩阵column vector 列向量combination 组合common denominator 同分母;公分母common difference 公差common divisor 公约数;公约common factor 公因子;公因子common multiple 公位数;公倍comparable 可比较的complement 余;补余completing the square 配方complex number 复数complex number plane 复数平面complex root 复数根component 分量composite function 复合函数; 合成函数computation 计算computer 计算机;电子计算器concept 概念conclusion 结论condition 条件conditional 条件句;条件式conjugate 共轭constant 常数constant of integration 积分常数constraint 约束;约束条件continuity 连续性continuous function 连续函数contradiction 矛盾converge 收敛convergence 收敛性convergent 收敛的convergent iteration 收敛的迭代convergent sequence 收敛序列convergent series 收敛级数convex 凸convexity 凸性coordinate 坐标corollary 系定理; 系; 推论correspondence 对应counter clockwise direction 逆时针方向;返时针方向counter example 反例counting 数数;计数criterion 准则critical point 临界点critical region 临界域cirtical value 临界值cube 正方体;立方;立方体cubic 三次方;立方;三次(的 cubic equation 三次方程cubic roots of unity 单位的立方根cumulative 累积的curve 曲线decimal 小数decimal place 小数位decimal point 小数点decimal system 十进制definite integral 定积分definition 定义degree (1 度; (2 次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of ODE 常微分方程次数delete 删除; 删去denary number 十进数denominator 分母dependence (1相关; (2应变derivable 可导derivative 导数determinant 行列式diagonal 对角线diagonal matrix 对角矩阵difference 差difference equation 差分方程differentiable 可微differential 微分differential coefficient 微商; 微分系数differential equation 微分方程differential mean value theorem 微分中值定理differentiate 求...的导数differentiation 微分法digit 数字dimension 量; 量网; 维(数direction 方向; 方位discontinuity 不连续性discontinuous 间断(的;连续(的; 不连续(的discontinuous point 不连续点discrete 分立; 离散distance 距离diverge 发散divergence 发散(性divergent 发散的divergent iteration 发散性迭代divergent sequence 发散序列divide 除dividend (1被除数;divisible 可整除division 除法division algorithm 除法算式divisor 除数;除式;因子dot 点dot product 点积echelon form 梯阵式echelon matrix 梯矩阵eigenvalue 本征值eigenvector 本征向量element 元素elementary row operation 基本行运算elimination 消法elimination method 消去法;消元法empty set 空集equivalent 等价(的error 误差error estimate 误差估计error term 误差项estimate 估计;估计量evaluate 计值exact 真确exact solution 准确解;精确解;真确解exact value 法确解;精确解;真确解example 例expand 展开experiment 实验;试验experimental 试验的exponent 指数exponential function 指数函数express…in terms of… 以………表达extreme point 极值点extreme value 极值extremum 极值factor 因子;因式;商factor method 因式分解法factorial 阶乘factorization 因子分解;因式分解fallacy 谬误FALSE 假(的falsehood 假值finite 有限finite sequence 有限序列first derivative 一阶导数first order differential equation 一阶微分方程fixed point 不动点fixed point iteration method 不动点迭代法for all X 对所有X for each /every X 对每一Xform 形式;型format 格式;规格formula(formulae 公式fraction 分数;分式function 函数fundamental theorem of calculus 微积分基本定理Gaussian elimination 高斯消去法general form 一般式;通式general solution 通解;一般解general term 通项given 给定;已知global 全局; 整体global maximum 全局极大值; 整体极大值global minimum 全局极小值; 整体极小值gradient (1斜率;倾斜率;(2梯度graph 图像;图形;图表graphical method 图解法graphical representation 图示;以图样表达graphical solution 图解growth 增长higher order derivative 高阶导数horizontal 水平的;水平hypothesis 假设identity 等(式identity matrix 恒等矩阵if and only if/iff 当且仅当;若且仅若if…, then 若….则;如果…..则illustration 例证;说明image 像点;像imaginary number 虚数implicit function 隐函数imply 蕴涵;蕴含improper integral 广义积分; 非正常积分increase 递增;增加indefinite integral 不定积分independence 独立;自变inequality 不等式;不等inequality sign 不等号infinite 无限;无穷infinite sequence 无限序列;无穷序列infinite series 无限级数;无穷级数infinitesimal 无限小;无穷小infinity 无限(大;无穷(大initial approximation 初始近似值initial condition 原始条件;初值条件initial value 初值;始值initial-value problem 初值问题inner product 内积input 输入integer 整数integral 积分integrate 积;积分;......的积分integration 积分法integration by parts 分部积分法integration by substitution 代换积分法;换元积分法interchange 互换intermediate value theorem 介值定理interpolating polynomial 插值多项式interpolation 插值interval 区间intuition 直观invalid 失效;无效invariance 不变性invariant (1不变的;(2不变量;不变式inverse 反的;逆的inverse function 反函数;逆函数inverse matrix 逆矩阵inverse problem 逆算问题invertible 可逆的invertible matrix 可逆矩阵iterate (1迭代值; (2迭代iteration 迭代iterative method 迭代法known 己知Lagrange interpolating polynomial 拉格朗日插值多项代leading coefficient 首项系数leading diagonal 主对角线lemma 引理limit 极限limit of sequence 序列的极限line of best-fit 最佳拟合line segment 线段linear 线性;一次linear convergence 线性收敛性linear differeantial equation 线性微分方程linear equation 线性方程;一次方程linear equation in two unknowns 二元一次方程;二元线性方程linearly dependent 线性相关的linearly independent 线性无关的local maximum 局部极大(值local minimum 局部极小(值logic 逻辑long division method 长除法loop 回路lower bound 下界lower triangular matrix 下三角形矩阵Maclaurin expansion 麦克劳林展开式magnitude 量;数量;长度;大小mantissa 尾数matrix 阵; 矩阵matrix addition 矩阵加法matrix equation 矩阵方程matrix multiplication 矩阵乘法matrix operation 矩阵运算maximize 极大maximum absolute error 最大绝对误差mean value theorem 中值定理method of completing square 配方法method of interpolation 插值法; 内插法method of least squares 最小二乘法; 最小平方法method of substitution 代换法;换元法method of successive substitution 逐次代换法; 逐次调替法minimize 极小minus 减modulus of a complex number 复数的模monomial 单项式multiple 倍数multiple root 多重根multiplication 乘法multiplicity 重数multiplier 乘数;乘式multiply 乘mutually independent 独立; 互相独立mutually perpendicular lines 互相垂直n factorial n阶乘n th derivative n阶导数n th root n次根;n次方根n the root of unity 单位的n次根natural logarithm 自然对数necessary and sufficient condition 充要条件necessary condition 必要条件negative 负neighborhood 邻域Newton-Cote's rule 牛顿- 高斯法则Newton-Raphson's method 牛顿- 纳逊方法Newton's formula 牛顿公式Newton's method 牛顿方法non-linear 非线性non-linear equation 非线性方程non-negative 非负的non-singular (1满秩的; (2非奇异的non-singular matrix 满秩矩阵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normalize 正规化normalized form 标准型notation 记法;记号null 零; 空null set 空集null vector 零向量number 数numerator 分子numerical method 计算方法;数值法objective function 目标函数octant 卦限odd function 奇函数one-to-one 一个对一个one-one correspondence 一一对应operation 运算order of a matrix 矩阵的阶ordinary differential equation 常微分方程origin 原点orthogonal 正交orthogonality 正交性 outcome 结果 output 输出 parameter 参数；参变量parametric equation 参数方程 partition 分割; 划分 periodic function 周期函数permutation 排列 perpendicular 垂线；垂直(于 phase 相; 位相 pivot 支点 plot 绘图plus 加 point 点 polynomial 多项式 polynomial equation 多项式方程 positive 正 post-multiply 后乘; 自右乘 premultiply 前乘; 自左乘 prime 素 product 乘积；积 proper integral 正常积分 property 性质 quadratic convergence 二阶收敛性 quadratic formula 二次公式 quadratic function 二次函数 quadratic inequality 二次不等式 quadrature 求积法 quadrilateral 四边形 quotient 商；商式 quotient rule 商法则 R.H.S 右 rank 秩 rate of convergence 收敛率 ratio 比 ; 比率 rational function 有理函数 real number 实数 real part 实部 real root 实根 reciprocal 倒数 rectangle 长方形；矩形 recurrence formula 递推公式 recurrent 循环的 recurring decimal 循环小数 reduce 简化 region 区域 region of convergency 收敛区域 regular 正；规则 relative error 相对误差 remainder term 余项root 根 rotation 旋转 rounded number 舍数 rounding(off 舍入；四舍五入 row 行；棋行 row vector 行向量; 行矢量 rule 规则；法(则 satisfy 满足；适合 scalar 纯量; 无向量, 标量 scalar matrix 纯量矩阵 scale 比例尺；标度；图尺 scientific notation 科学记数法 secant (1正割; (2割线 secant method 正割法 second derivative 二阶导数 second order ordinary differential equation 二阶常微分方程 sentence 句；语句 sequence 序列series 级数 set 集 shaded portion 有阴影部分 shape 形状 shear 位移 side 边；侧 sign 符号；记号 signed number 有符号数 significant figure 有效数字 signum 正负号函数similar 相似 simplify 简化 Simpson's integral 森逊积分 Simpson's rule 森逊法则singular 奇的 singular matrix 奇异矩阵; 不可逆矩阵 span 生成 square (1平方；(2正方形 square bracket 方括号square matrix 方(矩阵 stability 稳度 stationary 平稳 stationary point 平稳点; 逗留点; 驻点 straight line 直线 subset 子集 substitute 代入 substitution 代入; 代入法subtract 减 subtraction 减法 successive approximation 逐次逼近法 successive derivative 逐次导数 successive differentiation 逐次微分法 sufficiency 充份性 sufficient and necessary condition 充要条件 sufficient condition 充份条件 sufficiently close 充份接近suffix 下标 sum 和 summation 求和法; 总和 symbol 符号; 记号 symmetry 对称; 对称性Taylor’s expansion 泰勒展开式 term 项 transpose 移项；转置 transpose of matrix 倒置矩阵；转置矩阵 trapezium 梯形 trapezoidal integral 梯形积分 trapezoidal rule 梯形法则 trial 试；试验 triangle 三角形 triangular matrix 三角矩阵 trigonometric equation 三角方程 trigonometric function 三角函数 triple 三倍 trivial solution 平凡解truncation error 截断误差 undefined 未下定义(的 undetermined coefficient 待定系数unequal 不等 unique solution 唯一解 uniqueness 唯一性 unit 单位 unit area 单位面积unit circle 单位圆 unknown 未知数；未知量 upper bound 上界 upper limit 上限 upper triangular matrix 上三角形矩阵 validity 真确性; 有效性 variable 变项；变量；元；变元；变数 vector 向量; 矢量 vector function 向量函数; 矢量函数 vector product 矢量积; 矢量积 vector space 向量空间 verify 证明；验证 weight (1重量；(2权 weighted average, weighted mean 加权平均数 without loss of generality 不失一般性 x-axis x 轴x-coordinate x 坐标 x-intercept x 轴截距 y-axis y 轴 y-coordinate y 坐标 y-intercept y轴截距 zero 零 zero factor 零因子 zero matrix 零矩阵 zero vector 零向量 zeros of a function 函数零值。

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=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｜=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?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??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??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?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 year(leap 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, 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 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 infinite(a.) infinity(n.) 无穷小 infinitesimal积分 integral定积分 definite integral不定积分 indefinite integral有理数 rational number无理数 irrational number实数 real number虚数 imaginary number复数 complex number矩阵 matrix行列式 determinant几何 geometry点 point线 line面 plane体 solid线段 segment射线 radial平行 parallel相交 intersect角 angle角度 degree弧度 radian锐角 acute angle直角 right angle钝角 obtuse angle平角 straight angle周角 perigon底 base边 side高 height三角形 triangle锐角三角形 acute triangle直角三角形 right triangle直角边 leg斜边 hypotenuse勾股定理 Pythagorean theorem钝角三角形 obtuse triangle不等边三角形 scalene triangle等腰三角形 isosceles triangle等边三角形 equilateral triangle四边形 quadrilateral平行四边形 parallelogram矩形 rectangle长 length宽 width菱形 rhomb, rhombus, rhombi(pl.), diamond正方形 square 梯形 trapezoid直角梯形 right trapezoid等腰梯形 isosceles trapezoid 五边形 pentagon六边形 hexagon七边形 heptagon八边形 octagon九边形 enneagon十边形 decagon十一边形 hendecagon十二边形 dodecagon多边形 polygon正多边形 equilateral polygon 圆 circle圆心 centre(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 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。

【Mathematical analysis】1 、上确界(supremum value) 下确界(infimum value)2 、极限(limit) 导数(derivative) 一阶导数(firstderivative) 二阶导数(second derivate)偏导数(partialderivative)方向导数(directional derivative)3 、泰勒展式(Taylor’s expansion) 洛必达法则(L’Hopital’srule) 链式法则(chain rule)连续可微(continuouslydifferentiable)4、微积分 (calculus)微分(differential)级数(series)积分(integral)原函数 (antiderivative)不定积分(indefinite integral)定积分(definite integral)5 、调和级数(harmonic series)马克劳林级数(Maclaurin series)交错级数 (alternating series)傅里叶级数(Fourier series)6 、二重积分(double integral)三重积分(triple integral)多重积分(multiple integral) 格林公式(Green’s formula)斯托克斯定理(Stokes’ theorem)7、收敛(convergence)发散(divergence)一致收敛(uniformly convergent)绝对收敛(absolutely convergent)条件收敛(conditionally convergent) 连续(continuity) 一致连续(uniformly continuous)8 、指数函数(exponential function)对数函数(logarithmicfunction)幂函数(power function)初等函数(elementary function)三角函数(trigonometric function) 调和函数(harmonic function) 周期函数(periodic function) 可微函数(differential function)单调函数(monotonefunction)9 、素数(prime number) 正数(positive number) 负数(negative number) 相反数(opposite number) 自然数(natural number) 有理数(rational number)无理数(irrational number)实数(real number)虚数(imaginarynumber)复数(complex number) 10、等式(equality)不等式(inequality)三角不等式(triangle inequality)勾股定理(Pythagorean theorem)无穷大(infinity)无穷小(infinitesimal)【Linear algebra】1、向量(vector)秩(rank)行列式(determinant)线性方程(linear equation)2 、奇异矩阵(singular matrix)可逆矩阵(invertible matrix)逆矩阵(inverse matrix) 转置矩阵(transposed matrix)酉矩阵(unitary matrix)对称矩阵(symmetric matrix)正定矩阵(positive definite matrix)负定矩阵(negative definitematrix) 雅克比矩阵(Jacobian matrix)3 、迹(trace)主子式(principle minor)代数余子式(algebraic cofactor)4 、二次型(quadratic form)标准型(normal form)最小多项式(minimal polynomial) 特征多项式(characteristicpolynomial)约当块(Jordan block)5 、特征值(eigenvalue)特征向量(eigenvector)约当标准型(Jordan canonical form)6 、几何重数(geometric multiplicity)可对角矩阵(diagonalizable matrix) 【Analytic Geometry】1 、平面几何(plane geometry) 立体几何(solid geometry)射影几何(projective geometry)代数几何(algebraicgeometry)黎曼几何(Riemann geometry)微分几何(differential geometry)几何分析(geometryanalysis)分形几何(fractal geometry)2 、平行线(parallel line) 中线(median line) 直线(straightline) 垂直线(vertical line)水平线(horizontal line)切线(tangent line)法线(normal line)3 、抛物线(parabola)椭圆(ellipse)双曲线(hyperbola)斜率(slope) 【Complex analysis】1 、解析函数(holomorphic function) 留数定理(residualtheorem) 柯西积分公式 (Cauchy’s integral formula)2 、定义域(domain) 值域(range) 像(image) 中值定理(mean value theorem)3 、凸函数(convex function) 凸集(convex set) 变分不等式(variational inequality) 变分法(calculus of variation)线性规划(linear programming)【Real analysis】1 、测度(measure) 可测函数(measure function) 可积函数(integrable function) 平方可积函数(square integrablefunction)黎曼积分(Riemann integral) 勒贝格积分(Lebesgue integral)【Functional analysis】1 、内积(inner product) 向量积(cross product)范数(norm)2 、向量空间(vector space)距离空间(distance space)拓扑空间(topological space) 测度空间(measure space)线性空间(linear space)内积空间(inner product space) 希尔伯特空间(Hilbert space) 赋范空间(normed space) 巴拿赫空间(Banach space)完备空间(complete space)可分空间(separable space) 概率空间(probability space)3 、有穷维的(finite dimensional)无穷维的(infinitedimensional)基底(basis) 线性相关(linear dependence) 线性无关(linear independence) 最佳逼近(bestapproximation ) 最大值原理( maximum principle) 比较原理( comparison principle)最小二乘(least squares)4、泛函(functional)线性算子(linear operator)有界线性算子(bounded linear operator) 有界线性泛函(boundedlinear functional) 闭图像定理(closed graph theorem)一致有界定理(uniform boundedness principle)不动点定理(fixed point theorem)压缩映照定理(contraction mapping theorem)【Supplements】1 、引理(lemma)推论(corollary)公理(axiom)命题(proposition)猜想(conjecture) 数学归纳法(mathematical induction) 充分性(sufficiency) 必要性(necessity) 反例(counterexample)2、加法(addition)减法(subtraction)乘法(multiplication)除法(division)3、理想(ideal)环(ring)单位(unit)陪集(coset)群(group)域(field)置换群(permutation group)有限群(finite group)同态(homomorphism) 同构(isomorphism)维数(dimension)4 、抽象代数(abstract algebra) 广义函数论(theory of distribution) 弦理论(stringtheory) 随机变量(random variable) 动力系统(dynamical system) 偏微分方程(partial differentialequation)。

abbreviation 简写符号；简写absolute complement 绝对补集absolute error 绝对误差absolute inequality 绝不等式absolute maximum 绝对极大值absolute minimum 绝对极小值absolute monotonic 绝对单调absolute value 绝对值accelerate 加速acceleration 加速度acceleration due to gravity 重力加速度; 地心加速度accumulation 累积accumulative 累积的accuracy 准确度act on 施于action 作用; 作用力acute angle 锐角acute-angled triangle 锐角三角形add 加addition 加法addition formula 加法公式addition law 加法定律addition law(of probability) （概率）加法定律additive inverse 加法逆元; 加法反元additive property 可加性adjacent angle 邻角adjacent side 邻边adjoint matrix 伴随矩阵algebra 代数algebraic 代数的algebraic equation 代数方程algebraic expression 代数式algebraic fraction 代数分式；代数分数式algebraic inequality 代数不等式algebraic number 代数数algebraic operation 代数运算algebraically closed 代数封闭algorithm 算法系统; 规则系统alternate angle （交）错角alternate segment 内错弓形alternating series 交错级数alternative hypothesis 择一假设; 备择假设; 另一假设altitude 高；高度；顶垂线；高线ambiguous case 两义情况；二义情况amount 本利和；总数analysis 分析；解析analytic geometry 解析几何angle 角angle at the centre 圆心角angle at the circumference 圆周角angle between a line and a plane 直与平面的交角angle between two planes 两平面的交角angle bisection 角平分angle bisector 角平分线；分角线angle in the alternate segment 交错弓形的圆周角angle in the same segment 同弓形内的圆周角angle of depression 俯角angle of elevation 仰角angle of friction 静摩擦角; 极限角angle of greatest slope 最大斜率的角angle of inclination 倾斜角angle of intersection 相交角；交角angle of projection 投射角angle of rotation 旋转角angle of the sector 扇形角angle sum of a triangle 三角形内角和angles at a point 同顶角angular displacement 角移位angular momentum 角动量angular motion 角运动angular velocity 角速度annum(X% per annum) 年（年利率X%）anti-clockwise direction 逆时针方向；返时针方向anti-clockwise moment 逆时针力矩anti-derivative 反导数; 反微商anti-logarithm 逆对数；反对数anti-symmetric 反对称apex 顶点approach 接近；趋近approximate value 近似值approximation 近似；略计；逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积Argand diagram 阿根图, 阿氏图argument (1)论证; (2)辐角argument of a complex number 复数的辐角argument of a function 函数的自变量arithmetic 算术arithmetic mean 算术平均；等差中顶；算术中顶arithmetic progression 算术级数；等差级数arithmetic sequence 等差序列arithmetic series 等差级数arm 边array 数组; 数组arrow 前号ascending order 递升序ascending powers of X X 的升幂assertion 断语; 断定associative law 结合律assumed mean 假定平均数assumption 假定；假设asymmetrical 非对称asymptote 渐近asymptotic error constant 渐近误差常数at rest 静止augmented matrix 增广矩阵auxiliary angle 辅助角auxiliary circle 辅助圆auxiliary equation 辅助方程average 平均；平均数；平均值average speed 平均速率axiom 公理axiom of existence 存在公理axiom of extension 延伸公理axiom of inclusion 包含公理axiom of pairing 配对公理axiom of power 幂集公理axiom of specification 分类公理axiomatic theory of probability 概率公理论axis 轴axis of parabola 拋物线的轴axis of revolution 旋转轴axis of rotation 旋转轴axis of symmetry 对称轴back substitution 回代bar chart 棒形图；条线图；条形图；线条图base （1）底；（2）基；基数base angle 底角base area 底面base line 底线base number 底数；基数base of logarithm 对数的底basis 基Bayes´ theorem 贝叶斯定理bearing 方位（角）；角方向（角）bell-shaped curve 钟形图belong to 属于Bernoulli distribution 伯努利分布Bernoulli trials 伯努利试验bias 偏差；偏倚biconditional 双修件式; 双修件句bijection 对射; 双射; 单满射bijective function 对射函数; 只射函数billion 十亿bimodal distribution 双峰分布binary number 二进数binary operation 二元运算binary scale 二进法binary system 二进制binomial 二项式binomial distribution 二项分布binomial expression 二项式binomial series 二项级数binomial theorem 二项式定理bisect 平分；等分bisection method 分半法；分半方法bisector 等分线；平分线Boolean algebra 布尔代数boundary condition 边界条件boundary line 界（线）；边界bounded 有界的bounded above 有上界的；上有界的bounded below 有下界的；下有界的bounded function 有界函数bounded sequence 有界序列brace 大括号bracket 括号breadth 阔度broken line graph 折线图calculation 计算calculator 计算器；计算器calculus (1) 微积分学; (2) 演算cancel 消法；相消canellation law 消去律canonical 典型; 标准capacity 容量cardioid 心脏Cartesian coordinates 笛卡儿坐标Cartesian equation 笛卡儿方程Cartesian plane 笛卡儿平面Cartesian product 笛卡儿积category 类型；范畴catenary 悬链Cauchy sequence 柯西序列Cauchy´s principal value 柯西主值Cauchy-Schwarz inequality 柯西- 许瓦尔兹不等式central limit theorem 中心极限定理central line 中线central tendency 集中趋centre 中心；心centre of a circle 圆心centre of gravity 重心centre of mass 质量中心centrifugal force 离心力centripedal acceleration 向心加速度centripedal force force 向心力centroid 形心；距心certain event 必然事件chain rule 链式法则chance 机会change of axes 坐标轴的变换change of base 基的变换change of coordinates 坐标轴的变换change of subject 主项变换change of variable 换元；变量的换characteristic equation 特征(征)方程characteristic function 特征(征)函数characteristic of logarithm 对数的首数; 对数的定位部characteristic root 特征(征)根chart 图；图表check digit 检验数位checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形；圆的circular function 圆函数；三角函数circular measure 弧度法circular motion 圆周运动circular permutation 环形排列; 圆形排列; 循环排列circumcentre 外心；外接圆心circumcircle 外接圆circumference 圆周circumradius 外接圆半径circumscribed circle 外接圆cissoid蔓叶class 区；组；类class boundary 组界class interval 组区间；组距class limit 组限；区限class mark 组中点；区中点classical theory of probability 古典概率论classification 分类clnometer 测斜仪clockwise direction 顺时针方向clockwise moment 顺时针力矩closed convex region 闭凸区域closed interval 闭区间coaxial 共轴coaxial circles 共轴圆coaxial system 共轴系coded data 编码数据coding method 编码法co-domain 上域coefficient 系数coefficient of friction 摩擦系数coefficient of restitution 碰撞系数; 恢复系数coefficient of variation 变差系数cofactor 余因子; 余因式cofactor matrix 列矩阵coincide 迭合；重合collection of terms 并项collinear 共线collinear planes 共线面collision 碰撞column (1)列；纵行；(2) 柱column matrix 列矩阵column vector 列向量combination 组合common chord 公弦common denominator 同分母；公分母common difference 公差common divisor 公约数；公约common factor 公因子；公因子common logarithm 常用对数common multiple 公位数；公倍common ratio 公比common tangent公切commutative law 交换律comparable 可比较的compass 罗盘compass bearing 罗盘方位角compasses 圆规compasses construction 圆规作图compatible 可相容的complement 余；补余complement law 补余律complementary angle 余角complementary equation 补充方程complementary event 互补事件complementary function 余函数complementary probability 互补概率complete oscillation 全振动completing the square 配方complex conjugate 复共轭complex number 复数complex unmber plane 复数平面complex root 复数根component 分量component of force 分力composite function 复合函数; 合成函数composite number 复合数；合成数composition of mappings 映射构合composition of relations 复合关系compound angle 复角compound angle formula 复角公式compound bar chart 综合棒形图compound discount 复折扣compound interest 复利；复利息compound probability 合成概率compound statement 复合命题; 复合叙述computation 计算computer 计算机；电子计算器concave 凹concave downward 凹向下的concave polygon 凹多边形concave upward 凹向上的concentric circles 同心圆concept 概念conclusion 结论concurrent 共点concyclic 共圆concyclic points 共圆点condition 条件conditional 条件句；条件式conditional identity 条件恒等式conditional inequality 条件不等式conditional probability 条件概率cone 锥；圆锥（体）confidence coefficient 置信系数confidence interval 置信区间confidence level 置信水平confidence limit 置信极限confocal section 共焦圆锥曲congruence (1)全等；(2)同余congruence class 同余类congruent 全等congruent figures 全等图形congruent triangles 全等三角形conic 二次曲圆锥曲conic section 二次曲圆锥曲conical pendulum 圆锥摆conjecture 猜想conjugate 共轭conjugate axis 共轭conjugate diameters 共轭轴conjugate hyperbola 共轭(直)径conjugate imaginary / complex number 共轭双曲conjugate radical 共轭虚/复数conjugate surd 共轭根式; 共轭不尽根conjunction 合取connective 连词connector box 捙接框consecutive integers 连续整数consecutive numbers 连续数；相邻数consequence 结论；推论consequent 条件；后项conservation of energy 能量守恒conservation of momentum 动量守恒conserved 守恒consistency condition 相容条件consistent 一贯的；相容的consistent estimator 相容估计量constant 常数constant acceleration 恒加速度constant force 恒力constant of integration 积分常数constant speed 恒速率constant term 常项constant velocity 怛速度constraint 约束；约束条件construct 作construction 作图construction of equation 方程的设立continued proportion 连比例continued ratio 连比continuity 连续性continuity correction 连续校正continuous 连续的continuous data 连续数据continuous function 连续函数continuous proportion 连续比例continuous random variable 连续随机变量contradiction 矛盾converge 收敛convergence 收敛性convergent 收敛的convergent iteration 收敛的迭代convergent sequence 收敛序列convergent series 收敛级数converse 逆(定理)converse of a relation 逆关系converse theorem 逆定理conversion 转换convex 凸convex polygon 凸多边形convexity 凸性coordinate 坐标coordinate geometry 解析几何；坐标几何coordinate system 坐标系系定理；系；推论coplanar 共面coplanar forces 共面力coplanar lines 共面co-prime 互质; 互素corollary 系定理; 系; 推论correct to 准确至；取值至correlation 相关correlation coefficient 相关系数correspondence 对应corresponding angles (1)同位角；(2)对应角corresponding element 对应边corresponding sides 对应边cosecant 余割cosine 余弦cosine formula 余弦公式cost price 成本cotangent 余切countable 可数countable set 可数集countably infinite 可数无限counter clockwise direction 逆时针方向；返时针方向counter example 反例counting 数数；计数couple 力偶Carmer´s rule 克莱玛法则criterion 准则critical point 临界点critical region 临界域cirtical value 临界值cross-multiplication 交叉相乘cross-section 横切面；横截面；截痕cube 正方体；立方；立方体cube root 立方根cubic 三次方；立方；三次(的)cubic equation 三次方程cubic roots of unity 单位的立方根cuboid 长方体；矩体cumulative 累积的cumulative distribution function 累积分布函数cumulative frequecy 累积频数；累积频率cumulative frequency curve 累积频数曲cumulative frequcncy distribution 累积频数分布cumulative frequency polygon 累积频数多边形；累积频率直方图curvature of a curve 曲线的曲率curve 曲线curve sketching 曲线描绘(法)curve tracing 曲线描迹(法)curved line 曲线curved surface 曲面curved surface area 曲面面积cyclic expression 输换式cyclic permutation 圆形排列cyclic quadrilateral 圆内接四边形cycloid 旋输线; 摆线cylinder 柱；圆柱体cylindrical 圆柱形的damped oscillation 阻尼振动data 数据De Moivre´s theorem 棣美弗定理De Morgan´s law 德摩根律decagon 十边形decay 衰变decay factor 衰变因子decelerate 减速decelaration 减速度decile 十分位数decimal 小数decimal place 小数位decimal point 小数点decimal system 十进制decision box 判定框declarative sentence 说明语句declarative statement 说明命题decoding 译码decrease 递减decreasing function 递减函数；下降函数decreasing sequence 递减序列；下降序列decreasing series 递减级数；下降级数decrement 减量deduce 演绎deduction 推论deductive reasoning 演绎推理definite 确定的；定的definite integral 定积分definition 定义degenerated conic section 降级锥曲线degree (1) 度; (2) 次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of confidence 置信度degree of freedom 自由度degree of ODE 常微分方程次数degree of precision 精确度delete 删除; 删去denary number 十进数denominator 分母dependence (1)相关; (2)应变dependent event(s) 相关事件; 相依事件; 从属事件dependent variable 应变量; 应变数depreciation 折旧derivable 可导derivative 导数derived curve 导函数曲线derived function 导函数derived statistics 推算统计资料; 派生统计资料descending order 递降序descending powers of x x的降序descriptive statistics 描述统计学detached coefficients 分离系数(法) determinant 行列式deviation 偏差; 变差deviation from the mean 离均差diagonal 对角线diagonal matrix 对角矩阵diagram 图; 图表diameter 直径diameter of a conic 二次曲线的直径difference 差difference equation 差分方程difference of sets 差集differentiable 可微differential 微分differential coefficient 微商; 微分系数differential equation 微分方程differential mean value theorem 微分中值定理differentiate 求...的导数differentiate from first principle 从基本原理求导数differentiation 微分法digit 数字dimension 量; 量网; 维(数)direct impact 直接碰撞direct image 直接像direct proportion 正比例direct tax, direct taxation 直接税direct variation 正变(分)directed angle 有向角directed line 有向直线directed line segment 有向线段directed number 有向数direction 方向; 方位direction angle 方向角direction cosine 方向余弦direction number 方向数direction ratio 方向比directrix 准线Dirichlet function 狄利克来函数discontinuity 不连续性discontinuous 间断(的);连续(的); 不连续(的) discontinuous point 不连续点discount 折扣discrete 分立; 离散discrete data 离散数据; 间断数据discrete random variable 间断随机变数discrete uniform distribution 离散均匀分布discriminant 判别式disjoint 不相交的disjoint sets 不相交的集disjunction 析取dispersion 离差displacement 位移disprove 反证distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distributive law 分配律diverge 发散divergence 发散(性)divergent 发散的divergent iteration 发散性迭代divergent sequence 发散序列divergent series 发散级数divide 除dividend (1)被除数；(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数；除式；因子divisor of zero 零因子dodecagon 十二边形domain 定义域dot 点dot product 点积double angle 二倍角double angle formula 二倍角公式double root 二重根dual 对偶duality (1)对偶性; (2) 双重性due east/ south/ west /north 向东/ 南/ 西/ 北dynamics 动力学eccentric angle 离心角eccentric circles 离心圆eccentricity 离心率echelon form 梯阵式echelon matrix 梯矩阵edge 棱；边efficient estimator 有效估计量effort 施力eigenvalue 本征值eigenvector 本征向量elastic body 弹性体elastic collision 弹性碰撞elastic constant 弹性常数elastic force 弹力elasticity 弹性element 元素elementary event 基本事件elementary function 初等函数elementary row operation 基本行运算elimination 消法elimination method 消去法；消元法ellipse 椭圆ellipsiod 椭球体elliptic function 椭圆函数elongation 伸张；展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率；经验概率empty set 空集encoding 编码enclosure 界限end point 端点energy 能; 能量entire surd 整方根epicycloid 外摆线equal 相等equal ratios theorem 等比定理equal roots 等根equal sets 等集equality 等(式)equality sign 等号equation 方程equation in one unknown 一元方程equation in two unknowns (variables) 二元方程equation of a straight line 直线方程equation of locus 轨迹方程equiangular 等角(的)equidistant 等距(的) equilateral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三角形equilibrium 平衡equiprobable 等概率的equiprobable space 等概率空间equivalence 等价equivalence class 等价类equivalence relation 等价关系equivalent 等价(的)error 误差error allowance 误差宽容度error estimate 误差估计error term 误差项error tolerance 误差宽容度escribed circle 旁切圆estimate 估计；估计量estimator 估计量Euclidean algorithm 欧几里德算法Euclidean geometry 欧几里德几何Euler´s formula 尤拉公式；欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact differential form 恰当微分形式exact solution 准确解；精确解；真确解exact value 法确解；精确解；真确解example 例excentre 外心exception 例外excess 起exclusive 不包含exclusive disjunction 不包含性析取exclusive events 互斥事件exercise 练习exhaustive event(s) 彻底事件existential quantifier 存在量词expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值；预期值experiment 实验；试验experimental 试验的experimental probability 实验概率explicit function 显函数exponent 指数exponential function 指数函数exponential order 指数阶; 指数级express…in terms of…以………表达expression 式；数式extension 外延；延长；扩张；扩充extension of a function 函数的扩张exterior angle 外角external angle bisector 外分角external point of division 外分点extreme point 极值点extreme value 极值extremum 极值face 面factor 因子；因式；商factor method 因式分解法factor theorem 因子定理；因式定理factorial 阶乘factorization 因子分解；因式分解factorization of polynomial 多项式因式分解fallacy 谬误FALSE 假(的)falsehood 假值family 族family of circles 圆族family of concentric circles 同心圆族family of straight lines 直线族feasible solution 可行解；容许解Fermat´s last theorem 费尔马最后定理Fibonacci number 斐波那契数；黄金分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形)；(2)数字final velocity 末速度finite 有限finite dimensional vector space 有限维向量空间finite population 有限总体finite probability space 有限概率空间finite sequence 有限序列finite series 有限级数finite set 有限集first approximation 首近似值first derivative 一阶导数first order differential equation 一阶微分方程first projection 第一投影; 第一射影first quartile 第一四分位数first term 首项fixed deposit 定期存款fixed point 定点fixed point iteration method 定点迭代法fixed pulley 定滑轮flow chart 流程图focal axis 焦轴focal chord 焦弦focal length 焦距focus(foci) 焦点folium of Descartes 笛卡儿叶形线foot of perpendicular 垂足for all X 对所有Xfor each /every X 对每一Xforce 力forced oscillation 受迫振动form 形式；型formal proof 形式化的证明format 格式；规格formula(formulae) 公式four leaved rose curve 四瓣玫瑰线four rules 四则four-figure table 四位数表fourth root 四次方根fraction 分数；分式fraction in lowest term 最简分数fractional equation 分式方程fractional index 分数指数fractional inequality 分式不等式free fall 自由下坠free vector 自由向量; 自由矢量frequency 频数；频率frequency distribution 频数分布；频率分布frequency distribution table 频数分布表frequency polygon 频数多边形；频率多边形friction 摩擦; 摩擦力frictionless motion 无摩擦运动frustum 平截头体fulcrum 支点function 函数function of function 复合函数；迭函数functional notation 函数记号fundamental theorem of algebra 代数基本定理fundamental theorem of calculus 微积分基本定理gain 增益；赚；盈利gain perent 赚率；增益率；盈利百分率game （1）对策；（2）博奕Gaussian distribution 高斯分布Gaussian elimination 高斯消去法general form 一般式；通式general solution 通解；一般解general term 通项generating function 母函数; 生成函数generator (1)母线; (2)生成元geoborad 几何板geometric distribution 几何分布geometric mean 几何平均数；等比中项geometric progression 几何级数；等比级数geometric sequence 等比序列geometric series 等比级数geometry 几何；几何学given 给定；已知global 全局; 整体global maximum 全局极大值; 整体极大值global minimum 全局极小值; 整体极小值golden section 黄金分割grade 等级gradient (1)斜率；倾斜率；(2)梯度grand total 总计graph 图像；图形；图表graph paper 图表纸graphical method 图解法graphical representation 图示；以图样表达graphical solution 图解gravitational acceleration 重力加速度gravity 重力greatest term 最大项greatest value 最大值grid lines 网网格线group 组；grouped data 分组数据；分类数据grouping terms 并项；集项growth 增长growth factor 增长因子half angle 半角half angle formula 半角公式half closed interval 半闭区间half open interval 半开区间harmonic mean (1) 调和平均数; (2) 调和中项harmonic progression 调和级数head 正面（钱币）height 高（度）helix 螺旋线hemisphere 半球体；半球heptagon 七边形Heron´s formula 希罗公式heterogeneous (1)参差的; (2)不纯一的hexagon 六边形higher order derivative 高阶导数highest common factor(H.C.F) 最大公因子；最高公因式；最高公因子Hindu-Arabic numeral 阿刺伯数字histogram 组织图；直方图；矩形图Holder´s Inequality 赫耳德不等式homogeneous 齐次的homogeneous equation 齐次方程Hooke´s law 虎克定律horizontal 水平的；水平horizontal asymptote 水平渐近线horizontal component 水平分量horizontal line 横线；水平线horizontal range 水平射程hyperbola 双曲线hyperbolic function 双曲函数hypergeometric distribution 超几何分布hypocycloid 内摆线hypotenuse 斜边hypothesis 假设hypothesis testing 假设检验hypothetical syllogism 假设三段论hypotrochoid 次内摆线idempotent 全幂等的identical 全等；恒等identity 等（式）identity element 单位元identity law 同一律identity mapping 恒等映射identity matrix 恒等矩阵identity relation 恒等关系式if and only if/iff 当且仅当；若且仅若if…, then若….则；如果…..则illustration 例证；说明image 像点；像image axis 虚轴imaginary circle 虚圆imaginary number 虚数imaginary part 虚部imaginary root 虚根imaginary unit 虚数单位impact 碰撞implication 蕴涵式；蕴含式implicit definition 隐定义implicit function 隐函数imply 蕴涵；蕴含impossible event 不可能事件improper fraction 假分数improper integral 广义积分; 非正常积分impulse 冲量impulsive force 冲力incentre 内力incircle 内切圆inclination 倾角；斜角inclined plane 斜面included angle 夹角included side 夹边inclusion mapping 包含映射inclusive 包含的；可兼的inclusive disjunction 包含性析取；可兼析取inconsistent 不相的(的)；不一致(的) increase 递增；增加increasing function 递增函数increasing sequence 递增序列increasing series 递增级数increment 增量indefinite integral 不定积分idenfinite integration 不定积分法independence 独立；自变independent equations 独立方程independent event 独立事件independent variable 自变量；独立变量indeterminate (1)不定的；(2)不定元；未定元indeterminate coefficient 不定系数；未定系数indeterminate form 待定型；不定型index,indices 指数；指index notation 指数记数法induced operation 诱导运算induction hypothesis 归纳法假设inelastic collision 非弹性碰撞inequality 不等式；不等inequality sign 不等号inertia 惯性；惯量infer 推断inference 推论infinite 无限；无穷infinite dimensional 无限维infinite population 无限总体infinite sequence 无限序列；无穷序列infinite series 无限级数；无穷级数infinitely many 无穷多infinitesimal 无限小；无穷小infinity 无限(大)；无穷(大)inflection (inflexion) point 拐点；转折点inherent error 固有误差initial approximation 初始近似值initial condition 原始条件；初值条件initial point 始点；起点initial side 始边initial value 初值；始值initial velocity 初速度initial-value problem 初值问题injection 内射injective function 内射函数inner product 内积input 输入input box 输入inscribed circle 内切圆insertion 插入insertion of brackets 加括号instantaneous 瞬时的instantaneous acceleration 瞬时加速度instantaneous speed 瞬时速率instantaneous velocity 瞬时速度integer 整数integrable 可积integrable function 可积函数integral 积分integral index 整数指数integral mean value theorem 积数指数integral part 整数部份integral solution 整数解integral value 整数值integrand 被积函数integrate 积；积分；......的积分integrating factor 积分因子integration 积分法integration by parts 分部积分法integration by substitution 代换积分法；换元积分法integration constant 积分常数interaction 相互作用intercept 截距；截段intercept form 截距式intercept theorem 截线定理interchange 互换interest 利息interest rate 利率interest tax 利息税interior angle 内角interior angles on the same side of the transversal 同旁内角interior opposite angle 内对角intermediate value theorem 介值定理internal bisector 内分角internal division 内分割internal energy 内能internal force 内力internal point of division 内分点interpolating polynomial 插值多项式interpolation 插值inter-quartile range 四分位数间距intersect 相交intersection (1)交集；(2)相交；(3)交点interval 区间interval estimation 区间估计；区域估计intuition 直观invalid 失效；无效invariance 不变性invariant (1)不变的；(2)不变量；不变式inverse 反的；逆的inverse circular function 反三角函数inverse cosine function 反余弦函数inverse function 反函数；逆函数inverse cosine function 反三角函数inverse function 反函数；逆映射inverse mapping 反向映射；逆映射inverse matrix 逆矩阵inverse problem 逆算问题inverse proportion 反比例；逆比例inverse relation 逆关系inverse sine function 反正弦函数inverse tangent function 反正切函数inverse variation 反变(分)；逆变(分) invertible 可逆的invertible matrix 可逆矩阵irrational equation 无理方程irrational number 无理数irreducibility 不可约性irregular 不规则isomorphism 同构isosceles triangle 等腰三角形iterate (1)迭代值; (2)迭代iteration 迭代iteration form 迭代形iterative function 迭代函数iterative method 迭代法jet propulsion 喷气推进joint variation 联变(分)；连变(分)kinetic energy 动能kinetic friction 动摩擦known 己知L.H.S. 末项L´Hospital´s rule 洛必达法则Lagrange interpolating polynomial 拉格朗日插值多项代Lagrange theorem 拉格朗日定理Lami´s law 拉密定律Laplace expansion 拉普拉斯展式last term 末项latent root 本征根; 首通径lattice point 格点latus rectum 正焦弦; 首通径law 律；定律law of conservation of momentum 动量守恒定律law of indices 指数律；指数定律law of inference 推论律law of trichotomy 三分律leading coefficient 首项系数leading diagonal 主对角线least common multiple, lowest common multiple (L.C.M) 最小公倍数；最低公倍式least value 最小值left hand limit 左方极限lemma 引理lemniscate 双纽线length 长(度)letter 文字；字母like surd 同类根式like terms 同类项limacon 蜗牛线limit 极限limit of sequence 序列的极限limiting case 极限情况limiting friction 最大静摩擦limiting position 极限位置line 线；行line of action 作用力线line of best-fit最佳拟合line of greatest slope 最大斜率的直；最大斜率line of intersection 交线line segment 线段linear 线性；一次linear convergence 线性收敛性linear differeantial equation 线性微分方程linear equation 线性方程；一次方程linear equation in two unknowns 二元一次方程；二元线性方程linear inequality 一次不等式；线性不等式linear momentum 线动量linear programming 线性规划linearly dependent 线性相关的linearly independent 线性无关的literal coefficient 文字系数literal equation 文字方程load 负荷loaded coin 不公正钱币loaded die 不公正骰子local maximum 局部极大(值)local minimum 局部极小(值)locus, loci 轨迹logarithm 对数logarithmic equation 对数方程logarithmic function 对数函数logic 逻辑logical deduction 逻辑推论；逻辑推理logical step 逻辑步骤long division method 长除法loop 回路loss 赔本；亏蚀loss per cent 赔率；亏蚀百分率lower bound 下界lower limit 下限lower quartile 下四分位数lower sum 下和lower triangular matrix 下三角形矩阵lowest common multiple(L.C.M) 最小公倍数machine 机械Maclaurin expansion 麦克劳林展开式Maclaurin series 麦克劳林级数magnitude 量；数量；长度；大小major arc 优弧；大弧major axis 长轴major sector 优扇形；大扇形major segment 优弓形；大弓形mantissa 尾数mantissa of logarithm 对数的尾数；对数的定值部many to one 多个对一个many-sided figure 多边形many-valued 多值的map into 映入map onto 映上mapping 映射marked price 标价Markov chain 马可夫链mass 质量mathematical analysis 数学分析mathematical induction 数学归纳法mathematical sentence 数句mathematics 数学matrix 阵; 矩阵matrix addition 矩阵加法matrix equation 矩阵方程matrix multiplication 矩阵乘法matrix operation 矩阵运算maximize 极大maximum absolute error 最大绝对误差maximum point 极大点maximum value 极大值mean 平均(值)；平均数；中数mean deviation 中均差；平均偏差mean value theorem 中值定理measure of dispersion 离差的量度measurement 量度mechanical energy 机械能median (1)中位数；(2)中线meet 相交；相遇mensuration 计量；求积法method 方法method of completing square 配方法method of interpolation 插值法; 内插法method of least squares 最小二乘法; 最小平方法method of substitution 代换法；换元法method of successive substitution 逐次代换法; 逐次调替法method of superposition 迭合法metric unit 十进制单位mid-point 中点mid-point formula 中点公式mid-point theorem 中点定理million 百万minimize 极小minimum point 极小点minimum value 极小值Minkowski Inequality 闵可夫斯基不等式minor (1)子行列式；(2)劣；较小的minor arc 劣弧；小弧minor axis 短轴minor of a determinant 子行列式minor sector 劣扇形；小扇形minor segment 劣弓形；小弓形minus 减minute 分mixed number(fraction) 带分数modal class 众数组mode 众数model 模型modulo (1)模; 模数; (2)同余modulo arithmetic 同余算术modulus 模; 模数modulus of a complex number 复数的模modulus of elasticity 弹性模(数)moment arm (1)矩臂; (2)力臂moment of a force 力矩moment of inertia 贯性矩momentum 动量monomial 单项式monotone 单调monotonic convergence 单调收敛性monotonic decreasing 单调递减monotonic decreasing function 单调递减函数monotonic function 单调函数monotonic increasing 单调递增monotonic increasing function 单调递增函数motion 运动movable pulley 动滑轮multinomial 多项式multiple 倍数multiple angle 倍角multiple-angle formula 倍角公式multiple root 多重根multiplicand 被乘数multiplication 乘法multiplication law (of probability) (概率)乘法定律multiplicative inverse 乘法逆元multiplicative property 可乘性multiplicity 重数multiplier 乘数；乘式multiply 乘multi-value 多值的mulually disjoint 互不相交mutually exclusive events 互斥事件mutually independent 独立; 互相独立mutually perpendicular lines 互相垂直n factorial n阶乘n th derivative n阶导数n th root n次根；n次方根n the root of unity 单位的n次根Napierian logarithm 纳皮尔对数; 自然对数natural logarithm 自然对数natural number 自然数natural surjection 自然满射necessary and sufficient condition 充要条件necessary condition 必要条件negation 否定式negative 负negative angle 负角negative binomial distribution 负二项式分布negative index 负指数negative integer 负整数negative number 负数negative vector 负向量; 负矢量neighborhood 邻域net 净(值)net force 净力Newton-Cote´s rule 牛顿- 高斯法则Newton-Raphson´s method 牛顿- 纳逊方法Newton´s formula 牛顿公式Newton´s law of motion 牛顿运动定律Newton´s method 牛顿方法n-gon n边形nonagon 九边形non-collinear 不共线non-commutative 非交换的non-linear 非线性non-linear equation 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-singular matrix 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normal curve 正态分布曲；常庇分布曲；正规曲；正庇曲normal distribution 正态分布，常态分布normal form 法线式normal reaction 反向法作用力normal to curve 曲线的法线normal vector 法向量normalize 正规化normalized form 标准型notation 记法；记号null 零; 空null hypothesis 零假设; 虚假设null set 空集null vector 零向量number 数number line 数线number pair 数偶number pattern 数型number plane 数平面number system 数系numeral 数字；数码numeral system 记数系统numerator 分子numerical 数值的；数字的numerical analysis 数字分析numerical expression 数字式numerical integration 数值积分法numerical method 计算方法；数值法objective function 目标函数oblique 斜的oblique asymptote 斜渐近线oblique cone 斜圆锥oblique impact 斜向碰撞oblique triangle 斜三角形obtuse angle 钝角obtuse-angled triangle 钝角三角形octagon 八边形。