数学中英语专业名词
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数学中英语专业名词
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;
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;
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;
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;
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-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;
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;
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;
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;