高等数学英语词汇
-
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;
p>
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
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;
Bé
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
p>
: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
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;
commuta
tivity:
: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;
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
:
德
·
摩根律;
Dedekind completion
:
< br>戴德金完备性;
Dedekind
cut
:
戴德金分割;
del
:
微分算子;
p>
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
:
p>
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 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
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