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高等数学英语词汇

时间:2020-08-07 19:49:03 英语单词 我要投稿

高等数学英语词汇

  引导语:高等数学指相对于初等数学而言,数学的对象及方法较为繁杂的'一部分。以下是百分网小编分享给大家的高等数学英语词汇,欢迎阅读!

高等数学英语词汇

  A

  abelian 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; algebraicclosure: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;

  B

  Baire 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;

  C

  calculus: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; commutativegroup: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; completelattice:完备格; complete metric space:完备的度量空间; complete space:完备空间; complexmanifold:复流形; complex plane:复平面; congruence:同余; congruent:全等; connectedspace: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;

  D

  de 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;

  E

  eigenvalue: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;

  F

  false:假; field:域; finite:有限; finite field:有限域; finite set:有限集合; first-countablespace: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;

  G

  gauge 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;

  H

  Hausdorff 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;

  I

  identical: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; infiniteseries: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;

  J

  Jacobi identity:雅可比恒等式; join:并运算;

  K

  格式: Kuratowski closure axioms:Kuratowski 闭包公理;

  L

  least element:最小元; Lebesgue measure:勒贝格测度; Leibniz's law:莱布尼茨律; Liealgebra: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 oflinear algebra topics:线性代数相关条目; locally compact space:局部紧致空间; logarithmicidentities: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;

  M

  magnitude:量; manifold:流形; map:映射; mathematical symbols:数学符号; mathematicalanalysis: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; modeltheory: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;

  N

  naive set theory:朴素集合论; natural logarithm:自然对数; natural number:自然数; naturalscience: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; nonstandardanalysis: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;

  O

  object:对象; octonion:八元数; one-to-one correspondence:一一对应; open:开集; openball: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; ordinarymathematics:一般数学; origin:原点; orthogonal matrix:正交矩阵;

  P

  p-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; pluralquantification:复数量化; point:点; Point-Line-Plane postulate:点线面假设; polarcoordinates:极坐标系; polynomial:多项式; polynomial sequence:多项式列; positive-definitematrix: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;

  Q

  Q.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;

  R

  radius: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;

  S

  scalar: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 definitionof 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; squarematrix: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 linearequations:线性方程组;

  T

  tensor:张量; terminal object:终结对象; the algebra of sets:集合代数; theorem:定理; topelement: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; triangleinequality:三角不等式; trigonometric identities:三角恒等式; triple product:三重积; trivialtopology:密着拓扑; true:真; truth value:真值;

  U

  unary 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;

  V

  vacuously 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;

  Z

  Zermelo set theory:策梅罗集合论; Zermelo-Fraenkel set theory:策梅罗-弗兰克尔集合论; ZF settheory:ZF 系统; zero:零; zero object:零对象;

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