常用数学公式的英语表述
-
常用的数学英语表述
∃
there
exist
∀
for
all
p
⇒
q
p
implies
q
/
if
p,
then
q
p
⇔
q
p
if
and
only
if
q
/p
is
equivalent
to
q
/
p
and
q
are
equivalent
x
∈
A
x
belongs
to
A
/
x
is
an
element
(or
a
member)
of
A
x
∉
A
x
does
not
belong
to
A
/
x
is
not
an
element
(or
a
member)
of
A
A
⊂
B
A
is
contained
in
B
/
A
is
a
subset
of
B
A
⊃
B
A
contains
B
/
B
is
a
subset
of
A
A∩B
A
cap
B
/
A
meet
B
/
A
intersection
B
A
∪
B
A
cup
B
/
A
join
B
/
A
union
B
AB
A
minus
B
/
the
diference
between
A
and
B
A×
B
A
cross
B
/
the
cartesian
product
of
A
and
B
3.
Real
numbers
x+1
x
plus
one
x-1
x
minus
one
x±
1
x
plus
or
minus
one
xy
xy
/
x
multiplied
by
y
(x
-
y)(x
+
y)
x
minus
y,
x
plus
y
x
y
x
over
y
=
the
equals
sign
x
=
5
x
equals
5
/
x
is
equal
to
5
x≠5
x
(is)
not
equal
to
5
x≡y
x
is
equivalent
to
(or
identical
with)
y
x
≡
y
x
is
not
equivalent
to
(or
identical
with)
y
x
>
y
x
is
greater
than
y
x≥y
x
is
greater
than
or
equal
to
y
x
<
y
x
is
less
than
y
x≤y
x
is
less
than
or
equal
to
y
0
<
x
<
1
zero
is
less
than
x
is
less
than
1
0≤x≤1
zero
is
less
than
or
equal
to
x
is
less
than
or
equal
to
1
|
x
|
mod
x
/
modulus
x
x
2
x
squared
/
x
(raised)
to
the
power
2
x
3
x
cubed
x
4
x
to
the
fourth
/
x
to
the
power
four
x
n
x
to
the
nth
/
x
to
the
power
n
x
−n
x
to
the
(power)
minus
n
x
(square)
root
x
/
the
square
root
of
x
x
3
cube
root
(of)
x
x
4
fourth
root
(of)
x
x
n
nth
root
(of)
x
(
x+y
)
2
x
plus
y
all
squared
(
x
y
)
2
x
over
y
all
squared
n!
n
factorial
x
^
x
hat
x
¯
x
bar
x
˜
x
tilde
x
i
xi
/
x
subscript
i
/
x
suffix
i
/
x
sub
i
∑
i=1
n
a
i
the
sum
from
i
equals
one
to
n
a
i
/
the
sum
as
i
runs
fro
m
1
to
n
of
the
a
i
4.
Linear
algebra
‖
x
‖
the
norm
(or
modulus)
of
x
OA
→
OA
/
vector
OA
OA
¯
OA
/
the
length
of
the
segment
OA
A
T
A
transpose
/
the
transpose
of
A
A
−1
A
inverse
/
the
inverse
of
A
5.
Functions
f(
x
)
fx
/
f
of
x
/
the
function
f
of
x
f:S→T
a
function
f
from
S
to
T
x→y
x
maps
to
y
/
x
is
sent
(or
mapped)
to
y
f'(
x
)
f
prime
x
/
f
dash
x
/
the
(first)
derivative
of
f
with
respect
to
x
f''(
x
)
f
double-prime
x
/
f
double-dash
x
/
the
second
derivative
of
f
with
respect
to
x
f'''(
x
)
triple-prime
x
/
f
triple-dash
x
/
the
third
derivative
of
f
with
re
spect
to
x
f
(4)
(
x
)
f
four
x
/
the
fourth
derivative
of
f
with
respect
to
x
∂f
∂
x
1
the
partial
(derivative)
of
f
with
respect
to
x1
∂
2
f
∂
x
1
2
the
second
partial
(derivative)
of
f
with
respect
to
x1
∫
0
∞
the
integral
from
zero
to
infinity
lim
x→0
the
limit
as
x
approaches
zero
lim
x→
0
+
the
limit
as
x
approaches
zero
from
above
lim
x→
0
−
the
limit
as
x
approaches
zero
from
below
log
e
y
log
y
to
the
base
e
/
log
to
the
base
e
of
y
/
natural
log
(of)
y
ln
y
log
y
to
the
base
e
/
log
to
the
base
e
of
y
/
natural
log
(of)
y
一般词汇
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