高等数学英语词汇

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2021年02月23日 08:26
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2021年2月23日发(作者:人间至味)



高等数学词汇


(higher mathematics words)


A



abelian group


:阿贝尔群;



absolute


geometry


:绝对几何;



absolute value


:绝


对值;



abstract



algebra< /p>



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;

< br>


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;



anti symmetry



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;


< br>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

< p>


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


s pecification


: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;




zout's


identity


:贝祖恒等式;



Bernoulli's


inequality


:伯努利不等式





Big O notation< /p>


: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


:< /p>


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;



cha racteristic


:特征;



characteristic


polynomial


:特征多项式;



circle


:圆;



class


:类;



closed


:闭集;



closure


:封闭






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;



commuta tivity:


:交


换律;



compact


:紧致的;



compact set


:紧致集合;



compact space


:紧致空间;



complement


:补集





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

< p>


同余;



congru ent



全等;



connected


space


:< /p>


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

< br>:


连续统假设;



contractible space



可缩空间;



convergence


space



收敛空间;



cosine



余弦;



count able



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




·


摩根律;



Dedekind completion


< br>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;

< br>


difference


:差;



differentiable manifold



可微流形;



differential



calc ulus



微分学;



dimension



维数;



directed


graph


:有向图;



discrete


space


:离散空间;



discr iminant


: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



algebr a



初等代数;



empty


function



空函数;



empty set



空集;



empty product



空积;



equal


:等于;



equality


:等式





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-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

< p>
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 La placian



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



< /p>


identical



同一的;



identity



恒等式;



identity


ele ment



单位元;



identity


matrix


:< /p>


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





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;


< p>
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


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