数学中英语专业名词
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数学中英名词对照表以下是一些常见的数学中英名词对照表:1.数学(Mathematics):2.代数(Algebra):•代数方程(Algebraic equation)•多项式(Polynomial)•因子(Factor)•等式(Equation)•变量(Variable)•系数(Coefficient)3.几何(Geometry):•图形(Figure)•角度(Angle)•直线(Line)•圆(Circle)•面积(Area)•体积(Volume)•对称(Symmetry)4.统计学(Statistics):•数据(Data)•平均数(Mean)•中位数(Median)•众数(Mode)•标准差(Standard deviation)•概率(Probability)•抽样(Sampling)5.微积分(Calculus):•导数(Derivative)•积分(Integration)•极限(Limit)•微分方程(Differential equation)•曲线(Curve)•点斜式(Point-slope form)6.线性代数(Linear Algebra):•矩阵(Matrix)•行列式(Determinant)•向量(Vector)•特征值(Eigenvalue)•线性方程组(System of linear equations)•范数(Norm)7.数论(Number Theory):•质数(Prime number)•最大公约数(Greatest common divisor, GCD)•最小公倍数(Least common multiple, LCM)•同余(Congruence)•素因数分解(Prime factorization)8.逻辑学(Logic):•命题(Proposition)•范式(Normal form)•谓词(Predicate)•推理(Inference)•命题逻辑(Propositional logic)•谓词逻辑(Predicate logic)这只是数学中的一小部分术语对照表,数学领域非常广泛,涵盖了许多分支和专业术语。
数学专业英语词汇相信自己比依赖别人重要。
用尽心机不如静心做事数学 mathematics, maths(BrE), math(AmE) 公理 axiom 定理 theorem 计算calculation 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 平均数mean 算术平均数arithmatic mean 几何平均数geometric mean n个数之积的n次方根倒数(reciprocal) x的倒数为1/x 有理数 rational number 无理数 irrational number 实数 real number 虚数 imaginary number 数字 digit 数 number 自然数 natural number 整数 integer 小数 decimal 小数点 decimal point 分数 fraction 分子 numerator 分母 denominator 比ratio 正 positive 负 negative 零 null, zero, nought, nil 十进制 decimal system 二进制 binary system 十六进制 hexadecimal system 权 weight, significance 进位 carry 截尾 truncation 四舍五入 round 下舍入 round down 上舍入 round up 有效数字 significant digit 无效数字 insignificant digit 代数 algebra 公式 formula, formulae(pl.) 单项式 monomial 多项式polynomial, multinomial 系数 coefficient 未知数 unknown, x-factor, y-factor, z-factor 等式,方程式 equation 一次方程 simple equation 二次方程quadratic equation 三次方程 cubic equation 四次方程 quartic equation 不等式 inequation 阶乘 factorial 对数 logarithm 指数,幂 exponent 乘方power 二次方,平方 square 三次方,立方 cube 四次方 the power of four, the fourth power n次方 the power of n, the nth power 开方 evolution, extraction 二次方根,平方根 square root 三次方根,立方根 cube root 四次方根 the root of four, the fourth root n次方根 the root of n, the nth root sqrt(2)=1.414 sqrt(3)=1.732sqrt(5)=2.236 常量 constant 变量 variable 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 象限quadrant 截距(有正负之分)intercede (方程的)解solution 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 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 周长 perimeter 面积 area 相似 similar 全等 congruent 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 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 复数 complex number 矩阵 matrix 行列式 determinant 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 轨迹 locus, loca(pl.) 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 旋转 rotation 轴axis 球 sphere 半球 hemisphere 底面 undersurface 表面积 surface area 体积 volume 空间 space 双曲线 hyperbola 抛物线 parabola 四面体 tetrahedron 五面体 pentahedron 六面体 hexahedron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 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 abscissa 横坐标 absolute value 绝对值 acute angle 锐角 adjacent angle 邻角 addition 加 algebra 代数 altitude 高 angle bisector 角平分线 arc 弧 area 面积 arithmetic mean 算术平均值(总和除以总数) arithmetic progression 等差数列(等差级数) arm 直角三角形的股 at 总计(乘法) average 平均值 base 底 be contained in 位于...上 bisect 平分center 圆心 chord 弦 circle 圆形 circumference 圆周长 circumscribe 外切,外接 clockwise 顺时针方向 closest approximation 最相近似的combination 组合 common divisor 公约数,公因子 common factor 公因子complementary angles 余角(二角和为90度) composite number 合数(可被除1及本身以外其它的数整除) concentric circle 同心圆 cone 圆锥(体积,1/3*pi*r*r*h) congruent 全等的 consecutive integer 连续的整数coordinate 坐标的 cost 成本 counterclockwise 逆时针方向 cube 1.立方数 2.立方体(体积,a*a*a 表面积,6*a*a) cylinder 圆柱体 decagon 十边形 decimal 小数 decimal point 小数点 decreased 减少 decrease to 减少到 decrease by 减少了 degree 角度 define 1.定义 2.化简 denominator 分母 denote 代表,表示 depreciation 折旧 distance 距离 distinct 不同的 dividend 1. 被除数 2.红利 divided evenly 被除数 divisible 可整除的 division 1.除 2.部分divisor 除数 down payment 预付款,定金 equation 方程 equilateral triangle 等边三角形 even number 偶数 expression 表达 exterior angle 外角face (立体图形的)某一面 factor 因子 fraction 1.分数 2.比例 geometric mean 几何平均值(N个数的乘积再开N次方) geometric progression 等比数列(等比级数) have left 剩余 height 高 hexagon 六边形 hypotenuse 斜边improper fraction 假分数 increase 增加 increase by 增加了 increase to 增加到 inscribe 内切,内接 intercept 截距 integer 整数 interest rate 利率in terms of... 用...表达 interior angle 内角 intersect 相交 irrational无理数 isosceles triangle 等腰三角形 least common multiple 最小公倍数least possible value 最小可能的值 leg 直角三角形的股 length 长 listprice 标价 margin 利润 mark up 涨价 mark down 降价 maximum 最大值 median, medium 中数(把数字按大小排列,若为奇数项,则中间那项就为中数,若为偶数项,则中间两项的算术平均值为中数。
英语数学专用词汇表以下是英语数学专用词汇表,包括数学领域中常用的术语和定义:1. Algebra(代数): The branch of mathematics that deals with symbols and the rules for manipulating them.2. Equation(方程): A mathematical statement that asserts the equality of two expressions.3. Variable(变量): A symbol that represents a quantity that can vary or change in value.4. Constant(常数): A quantity that does not change in value.5. Coefficient(系数): The numerical factor of a term in an algebraic expression.6. Exponent(指数): A number that represents the power to which a given number or expression is raised.7. Function(函数): A relationship between two variables, where each input has a unique output.8. Graph(图形): A visual representation of the relationship between variables, often plotted on Cartesian coordinates.9. Geometry(几何): The branch of mathematics that deals withthe properties and relations of points, lines, surfaces, solids, and higher-dimensional analogs.10. Triangle(三角形): A polygon with three sides and three angles.11. Circle(圆): A shape with all points in a plane equidistant from a fixed center point.12. Quadrilateral(四边形): A polygon with four sides.13. Congruent(全等): Having the same shape and size.14. Similar(相似): Having the same shape, but possibly different sizes.15. Tangent(切线): A line or line segment that touches a curve at a single point, without crossing it.16. Calculus(微积分): The branch of mathematics that deals with the study of change and motion.17. Derivative(导数): A measure of how a function changes as its input changes.18. Integral (積分): A measure of the area under a curve or the accumulation of quantities.19. Trigonometry(三角函数): The branch of mathematics thatdeals with the relationships between the sides and angles of triangles.20. Sine(正弦): The ratio of the length of the side opposite an acute angle in a right triangle to the hypotenuse.21. Cosine(余弦): The ratio of the length of the side adjacent to an acute angle in a right triangle to the hypotenuse.22. Tangent(正切): The ratio of the length of the side opposite an acute angle in a right triangle to the length of the side adjacent to the angle.23. Probability(概率): The measure of the likelihood that an event will occur.24. Matrix(矩阵): A rectangular array of numbers, symbols, or expressions arranged in rows and columns.25. Vector(向量): A quantity that has both magnitude and direction.26. Arithmetic(算术): The branch of mathematics that deals with the properties and relationships of numbers.27. Prime(质数): A number greater than 1 that has no positive divisors other than 1 and itself.28. Fraction(分数): A number expressed as a ratio of twointegers.29. Rational(有理数): A number that can be expressed as a fraction.30. Irrational(无理数): A number that cannot be expressed as a fraction.这些是英语数学专用词汇表中的一些常见术语。
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;。
数学英语专业术语词汇数学专业术语词汇代数部分1.有关数学运算add,plus加subtract减difference差multiply, times乘product积divide除divisible可被整除的divided evenly被整除dividend被除数,divisor因子,除数quotient商remainder余数factorial阶乘power乘方radical sign, root sign根号round to四舍五入 increase 增加 reduce减少3.有关代数式、方程和不等式value值equation 方程algebraic term代数项like terms, similar terms同类项satisfy 满足numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程,等价方程linear equation线性方程(e.g.5x+6=22)4.有关分数和小数fraction 分数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percent 百分之5.基本数学概念average 平均数 maximum/ minimum number 最大/ 最小数 square 平方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 not more than不大于less than 小于units’ digit个位数字 sum 和 represent 代表adjacent 相邻的 constant常数variable变量inverse function反函数complementary function余函数linear一次的,线性的factorization因式分解absolute value绝对值,e.g.|-32|=32round off四舍五入6.有关数论number 数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 integer 正整数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 decimal system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sequence 数列arithmetic progression(sequence)等差数列geometricprogression(sequence)等比数列consecutive 连续的8.其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数direct proportion 、direct ratio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figure 图表几何部分1.所有的角corner 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 a supplementary angle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triangle三角形regular triangle 正三角形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inscribedtriangle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 icosagon 正二十边形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 、beeline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octahedron 八面体6.有关图形上的附属物perimeter 周长area 面积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centre 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shaded region 阴影区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parallel 平行Pythagorean proposition勾股定理congruent全等的multilateral多边的measure 度量其它1.单位类cent美分penny 一美分硬币nickel5美分硬币dime一角硬币dozen打(12个)score廿(20个)Centigrade摄氏Fahrenheit华氏quart夸脱gallon加仑(1gallon=4quart)yard码meter米micron微米inch英寸foot英尺minute 分(角度的度量单位,60分=1度)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。
(一)数学专业英语课件词汇:2.1 数学、方程与比例Mathematics, Equation and Ratio algebra 代数学geometrical 几何的algebraic 代数的identity 恒等式arithmetic 算术, 算术的measure 测量,测度axiom 公理numerical 数值的, 数字的conception 概念,观点operation 运算constant 常数postulate 公设logical deduction 逻辑推理proposition 命题division 除,除法subtraction 减,减法formula 公式term 项,术语trigonometry 三角学variable 变化的,变量2.2 几何与三角Geometry and Trigonologyangle 角cube 立方体arc 弧curved line 曲线major arc 优弧cylinder 柱体minor arc 劣弧diameter 直径architect 建筑师dimention 维数,大小breadth 宽度endpoint 端点chord 弦equidistant 等距离的circumference 周长line segment 直线段cone 圆锥radius 半径critical 临界的pyramid 棱锥2.3 集合论的基本概念Basic Concepts of the Theory of Sets brace 大括号roster 名册consequence 结论,推论roster notation 枚举法designate 标记,指定rule out 排除,否决diagram 图形,图解subset 子集distinct 互不相同的the underlying set 基础集distinguish 区别,辨别universal set 全集divisible 可被除尽的validity 有效性dummy 哑的,哑变量visual 可视的even integer 偶数visualize 可视化irrelevant 无关紧要的void set(empty set) 空集2.4 整数、有理数与实数Integers, Rational Numbers and Real Numbers conversely 反之geometric interpretation 几何意义correspond 对应induction 归纳法deducible 可推导的proof by induction 归纳证明difference 差inductive set 归纳集distinguished 著名的 inequality 不等式entirely complete 完整的 integer 整数Euclid 欧几里得interchangeably 可互相交换的Euclidean 欧式的 intuitive直观的the field axiom 域公理irrational 无理的2.5 笛卡儿几何学的基本概念Basic Concepts of Cartesian Geometry abscissa 横坐标horizontal 水平的analytic geometry 解析几何hypotenuse 斜边arbitrary 任意的integral 整数的,积分的,积分Cartesian 笛卡儿的 intersect 相交Rene Descartes 笛卡儿intertwine 融合,结合circular 圆的,圆周的leg 侧边,直角边coordinate 坐标ordinate 纵坐标2.6 函数的概念与函数思想Function concept and function idea alphabet 字母表prime 素数,质数displacement 位移proportional 成比例的domain 定义域the real-valued function实值函数edge 棱,边 spring constant 弹性系数graph 图,图形limit 极限stretch 拉伸volume 体积,容积,卷2.7 序列及其极限Sequences and Their Limitsassume 假定sequence 序列,数列converge 收敛series 级数,序列diverge 发散subscript 下标imaginary part 虚部succession 连贯性imply 蕴含,推出successor 后继recursion formula 递推公式2.8 函数的导数和它的几何意义The Derivative of a Function and Its Geometric interpretation acceleration 加速度 interval 区间altitude 高度numerator 分子approach 趋于rectilinear motion 直线运动bound 界,限slope 斜率derivative 导数 tangent 正切,切线fraction 分数,分式velocity 速度2.9 微分方程简介Introduction to Differential Equations approximate evaluation 近似估计 initial 初始的disintegrate 解体,衰变integrate 求积分differentiable 可微的polynomial 多项式exponential 指数的rational function 有理函数。
Mathematics1. The number systemPositive number 正数negative number 负数integer 整数fraction 分数Rational number 有理数irrational number 无理数Origin 原点number axis 数轴absolute value 绝对值opposite number 相反数addition 加法subtraction 减法multiplication 乘法division 除法involution 乘方base number 底exponent 指数power 幂square 平方cube 立方scientific notation 科学计数法square root 平方根extraction of square root 开平方cube root 立方根extraction of cubic root 开立方real number 实数approximate number 近似数arithmetic mean 算术平均数或平均数weight 权median 中位数mode 众数variance 方差2. 4. Linear equations & linear systemlinear equation with one unknown 一元一次方程linear inequalities 一元不等式solution of equation 方程的解solving equation 解方程moving terms 移项3. quadratic equationsquadratic equation with one unknown 一元二次方程5. linear functions 一次函数(复数)constant 常量variable 变量function 函数graph 图像direct proportion function正比例函数6. quadratic function 二次函数parabola 抛物线8. 10. 11. 12circular cylinder 圆柱circular cone 圆锥cube 正方体cuboid 长方体sphere 球pyramid 棱锥prism 棱柱point 点line 线surface 面graph transformations 图形的运动translation 平移rotation 旋转congruent figures 全等图形congruent triangles 全等三角形corresponding vertices 对应顶点corresponding sides 对应边corresponding angles 对应角regular polygon 正多边形similar figures 相似形similar polygons 相似多边形similarity ratio 相似比9. angles in parallel lines 平行线中的角angle 角angular bisector 角的平分线complementary angle 余角supplementary angle 补角parallel lines 平行线perpendicular line 垂线foot of a perpendicular 垂足vertical line segment 垂线段the distance between a point to a straight line 点到直线的距离14. circlecentre of a circle 圆心radius 半径chord 弦diameter 直径arc 弧major arc 优弧minor arc 劣弧central angle 圆心角concentric circles 同心圆equal circle 等圆equal arc 等弧circumcircle of triangle 三角形的外接圆circumcenter of triangle 三角形的外心angle in a segment 圆周角quadrilateral in a circle圆的内接四边形tangent line of a circle 圆的切线tangent point 切点Inscribed circle of triangle 三角形的内切圆incenter of triangle 三角形的内心length of the tangent 切线长15. probability 概率impossible event 不可能事件certain event 必然事件random event 随机事件statistics 统计absolute frequency 頻数relative frequency 频率frequency distribution table 頻数分布表frequency distribution histogram頻数分布直方图。
数学专业术语倒数(reciprocal)2^5=the fifth power of 2abscissa横坐标ordinate纵坐标quadrant象限coordinate坐标slope斜率intercede截距(有正负之分)solution(方程的)解arithmetic progression等差数列(等差级数)common divisor 公约数common factor公因子least common multiple最小公倍数composite number合数prime factor质因子prime number质数factor因数consecutive integer连续的整数set集合sequence数列tenths’ digit十分位tenth十分位units’ digit个位whole number整数3-digit number三位数denominator分母numerator分子dividend被除数divided evenly被整除divisible可整除的divisor除数quotient商remainder余数round四舍五入fraction分数geometric progression等比数列improper fraction假分数proper fraction真分数increase by增加了increase to增加到integer整数in terms of ..用。
表达irrational无礼数multiplier乘数multiple倍数multiply乘product乘积natural number自然数per capita每人mark up涨价mark down降价margin利润depreciation折旧compoud interest复利arm直角三角形的股hypotenuse直角三角形斜边lag直角三角形的股median of a triangle三角形中线intersect相交exterior angle外角interior angle内角complementary angles余角supplementary angles补角vertex angle顶角vertical angle对顶角angle bisector角平分线equilateral triangle等边三角形isosceles triangle等腰三角形scalene triangle不等边三角形congruent全等的rectangle长方形length 长both length两个长边width 宽rectangle prism长方体trapezoid梯形rhombus菱形diagonal对角线perimeter周长segment线段polygon多边形regular polygon正多边形parallelogram平行四边形quadrilateral四边形-agon -边形*常用tetragon四边形*pentagon五边形*hexagon六边形heptagon七边形*octagon八边形enneagon=nonagon九变形*decagon十变形hendecagon=undecagon十一边形dodecagon十二边形quindecagon十五边形chord弦radian弧度circumscribe外切,外接inscribe内切,内接concentric circle同心圆cone圆锥(体积=1/3PI*R*R*H)-hedron -面体hexahedron六面体quadrihedron四面体=三角锥volume体积pyramid角锥cube立方数/立方体cylinder圆柱体sphere球体数学术语(中英对照)数学mathematics, maths(BrE), math(AmE)公理axiom定理theorem计算calculation运算operation证明prove假设hypothesis, hypotheses(pl.)命题proposition算术arithmetic加plus(prep.), add(v.), addition(n.)被加数augend, summand加数addend和sum减minus(prep.), subtract(v.), subtraction(n.) 被减数minuend 减数subtrahend差remainder乘times(prep.), multiply(v.), multiplication(n.) 被乘数multiplicand, faciend乘数multiplicator积product除divided by(prep.), divide(v.), division(n.) 被除数dividend 除数divisor商quotient等于equals, is equal to, is equivalent to大于is greater than小于is lesser than大于等于is equal or greater than小于等于is equal or lesser than运算符operator数字digit数number自然数natural number整数integer小数decimal小数点decimal point分数fraction分子numerator分母denominator比ratio正positive负negative零null, zero, nought, nil十进制decimal system二进制binary system十六进制hexadecimal system权weight, significance进位carry截尾truncation四舍五入round下舍入round down上舍入round up有效数字significant digit无效数字insignificant digit代数algebra公式formula, formulae(pl.)单项式monomial多项式polynomial, multinomial系数coefficient未知数unknown, x-factor, y-factor, z-factor 等式,方程式equation一次方程simple equation二次方程quadratic equation三次方程cubic equation四次方程quartic equation不等式inequation阶乘factorial对数logarithm指数,幂exponent乘方power二次方,平方square三次方,立方cube四次方the power of four, the fourth power n次方the power of n, the nth power开方evolution, extraction二次方根,平方根square root三次方根,立方根cube root四次方根the root of four, the fourth root n次方根the root ofn, 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。
态射(morphism);域(domain);陪域(codomain);泛代数(universal algebra)拓扑学(topology);点集拓扑(或一般拓扑)General Topology微分流形 differential manifold流形 manifold微分方程 Differential Equations渐近性 Asymptotic Behavior三阶拟线性 Third Order Quasilinear牛顿冷却定律 Newton's law of cooling微分算子 differential operatordiffeomorphism 微分同胚122226s admissible s容许的s matrix s矩阵saddle point 鞍点saddle point method 鞍点法salient angle 凸角salient point 折点saltusfunction 跳跃函数sample 样本sample correlation coefficient 样本相关系数sample correlation matrix 样本相关阵sample covariance 样本协方差sample covariance matrix 样本协方差阵sample dispersion 样本方差sample function 样本函数sample mean 样本均值sample median 样本中位数sample moment 样本矩sample point 样本点sample quartile 样本四分位数sample size 样本的大小sample space 样本空间sample survey 样本甸sample unit 抽样单位sample variable 样本变量sample variance 样本方差sampling 抽样sampling distribution 样本分布sampling error 抽样误差sampling fraction 抽样比sampling inspection 抽样检查sampling method 抽样法sampling moment 样本矩sampling ratio 抽样比sampling survey 样本甸sampling unit 抽样单位sarrus rule 萨律法satisfiable 可满足的satisfy 满足saturated set 浸润集saturated subset 浸润子集saturated vertex 饱和顶点saturation curve 饱和曲线scalar 纯量scalar curvature 纯量曲率scalar density 纯量密度scalar field 纯量场。
数学英语专业术语词汇数学专业术语词汇代数部分1.有关数学运算add,plus加subtract减difference差multiply, times乘product积divide除divisible可被整除的divided evenly被整除dividend被除数,divisor因子,除数quotient商remainder余数factorial阶乘power乘方radical sign, root sign根号round to四舍五入 increase 增加 reduce 减少3.有关代数式、方程和不等式value值equation 方程algebraic term代数项like terms, similar terms同类项satisfy 满足numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程,等价方程linear equation线性方程(e.g.5x+6=22)4.有关分数和小数fraction 分数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percent 百分之5.基本数学概念average 平均数 maximum/ minimum number 最大/ 最小数 square 平方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 not more than 不大于less than 小于units’ digit个位数字 sum 和 represent 代表adjacent 相邻的 constant常数variable变量inverse function反函数complementary function余函数linear一次的,线性的factorization因式分解absolute value绝对值,e.g.|-32|=32round off四舍五入6.有关数论number 数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 integer 正整数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 decimal system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sequence 数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列consecutive 连续的8.其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数direct proportion 、direct ratio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figure 图表几何部分1.所有的角corner 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 a supplementary angle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triangle三角形regular triangle 正三角形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 icosagon 正二十边形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 、beeline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octahedron 八面体6.有关图形上的附属物perimeter 周长area 面积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centre 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shaded region 阴影区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parallel 平行Pythagorean proposition勾股定理congruent全等的multilateral多边的measure 度量其它1.单位类cent美分penny 一美分硬币nickel5美分硬币dime一角硬币dozen打(12个)score廿(20个)Centigrade摄氏Fahrenheit华氏quart夸脱gallon加仑(1gallon=4quart)yard码meter米micron微米inch英寸foot英尺minute 分(角度的度量单位,60分=1度)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。
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;。