常用数学符号英文对照

常用数学符号英文对照
常用数学符号英文对照

常用数学符号英文对照

Basic math symbols

Symbol Symbol Name Meaning / definition Example

= equals sign equality 5 = 2+3

5 is equal to 2+3

≠not equal sign inequality 5 ≠ 4

5 is not equal to 4

≈approximately

equal approximation

sin(0.01) ≈ 0.01,

x≈y means x is approximately

equal to y

> strict inequality greater than 5 > 4

5 is greater than 4

< strict inequality less than 4 < 5

4 is less than 5

≥inequality greater than or equal to 5 ≥ 4,

x≥y means x is greater than or equal to y

≤inequality less than or equal to 4 ≤ 5,

x ≤ y means x is greater than or equal to y

( ) parentheses calculate expression inside

first

2 × (3+5) = 16

[ ] brackets calculate expression inside

first

[(1+2)×(1+5)] = 18 + plus sign addition 1 + 1 = 2

?minus sign subtraction 2 ? 1 = 1

±plus - minus both plus and minus

operations

3 ± 5 = 8 and -2

±minus - plus both minus and plus

operations

3 ± 5 = -2 and 8 * asterisk multiplication 2 * 3 = 6

×times sign multiplication 2 × 3 = 6 ·multiplication dot multiplication 2 · 3 = 6

÷division sign /

division 6 ÷ 2 = 3

obelus

/ division slash division 6 / 2 = 3

–horizontal line division / fraction

mod modulo remainder calculation 7 mod 2 = 1

. period decimal point, decimal

2.56 = 2+56/100

separator

a b power exponent 23= 8

a^b caret exponent 2 ^ 3= 8

√a square root √a ·√a = a√9 = ±3

3√a cube root 3√a ·3√a ·3√a = a3√8 = 2

4√a fourth root 4√a ·4√a ·4√a ·4√a = a4√16 = ±2

n√a n-th root (radical) for n=3, n√8 = 2

% percent1% = 1/100 10% × 30 = 3

‰per-mille1‰ = 1/1000 = 0.1%10‰ × 30 = 0.3

ppm per-million1ppm = 1/1000000 10ppm × 30 = 0.0003

ppb per-billion 1ppb = 1/1000000000 10ppb × 30 = 3×10-7

ppt per-trillion 1ppt = 10-1210ppt × 30 = 3×10-10

ABC = 30°

AOB = 30°

°degree 1 turn = 360°α = 60°

deg degree 1 turn = 360deg α = 60deg

′prime arcminute, 1° = 60′α = 60°59′

″double prime arcsecond, 1′ = 60″α = 60°59′59″

line infinite line

AB line segment line from point A to point B

ray line that start from point A

arc arc from point A to point B

= 60°

⊥perpendicular perpendicular lines (90° angle) AC ⊥ BC

| | parallel parallel lines AB | | CD

?congruent to equivalence of geometric shapes and size ?ABC??XYZ ~ similarity same shapes, not same size ?ABC~ ?XYZ Δtriangle triangle shape ΔABC?ΔBCD |x-y| distance distance between points x and y | x-y | = 5

πpi constant π = 3.141592654...

is the ratio between the circumference and diameter of a

circle

c = π·

d = 2·π·r

rad radians radians angle unit 360° = 2π rad c radians radians angle unit 360° = 2πc

grad gradians / gons grads angle unit 360° = 400 grad

g gradians / gons grads angle unit 360° = 400 g

x x variable

to find

when 2x = 4, then x = 2

≡equivalence identical to

?equal by definition equal by

definition

:= equal by definition equal by

definition

~ approximately equal weak

approximation

11 ~ 10

≈approximately equal approximation sin(0.01) ≈ 0.01

∝proportional to proportional to y∝x when y = kx, k constant ∞lemniscate infinity symbol

?much less than much less than 1 ?1000000

?much greater than much greater

than

1000000 ?1

( ) parentheses calculate

expression

inside first

2 * (3+5) = 16

[ ] brackets calculate

expression

inside first

[(1+2)*(1+5)] = 18

{ } braces set

?x?floor brackets rounds number

to lower integer

?4.3? = 4

?x?ceiling brackets rounds number

to upper integer

?4.3? = 5

x! exclamation mark factorial4! = 1*2*3*4 = 24 | x | single vertical bar absolute value | -5 | = 5

f (x) function of x maps values of

x to f(x)

f (x) = 3x+5

(f°g) function composition (f°g) (x)

= f (g(x))

f (x)=3x,g(x)=x-1 ?(f°g)(x)=3(x-1)

(a,b) open interval (a,b) = x∈(2,6)

[a ,b ] closed interval

[a ,b ] = {x | a ≤ x ≤ b }

x ∈ [2,6]

? delta change / difference

?t = t 1 - t 0

? discriminant

Δ = b 2 - 4ac

sigma

summation -

sum of all values in range of series ∑ x i = x 1+x 2+...+x n

∑∑

sigma

double summation

capital pi

product -

product of all values in range of series

∏ x i =x 1?x 2?...?x n

e e constant / Euler's number

e =

2.718281828... e = lim (1+1/x )x , x →∞

γ Euler-Mascheroni constant γ =

0.527721566...

φ

golden ratio golden ratio constant

π

pi constant π =

3.14159265

4...

is the ratio

between the circumference and diameter of a circle

c = π·

d = 2·π·r

A ?B

tensor product tensor product of A and B

A ? B

inner product

[ ] brackets matrix of numbers ( ) parentheses matrix of numbers

| A | determinant determinant of matrix A det(A ) determinant determinant of matrix A

|| x || double vertical bars norm

A T transpose matrix transpose

(A T )ij = (A )ji A ? Hermitian matrix matrix conjugate transpose (A ?)ij = (A )ji A * Hermitian matrix matrix conjugate transpose

(A *)ij = (A )ji

A -1

inverse matrix

A A -1 = I

rank(A ) matrix rank rank of matrix A rank(A ) = 3 dim(U ) dimension

dimension of matrix A

rank(U ) = 3

Probability and statistics symbols

Symbol

Symbol Name Meaning / definition

Example

P (A )

probability function probability of event A P (A ) = 0.5

P (A ∩ B ) probability of

events

intersection probability that of events A and B

P (A ∩B ) = 0.5

P (A ∪B ) probability of

events union

probability that of events A or B P (A ∪B ) = 0.5

P (A | B )

conditional

probability function probability of event A given event B occured

P (A | B ) = 0.3

f (x ) probability

density function (pdf) P (a ≤ x ≤ b ) = ∫ f (x ) dx

F (x )

cumulative

F (x ) = P (X ≤ x )

distribution function (cdf)

μ population mean mean of population values

μ = 10

E (X )

expectation value

expected value of random variable X E (X ) = 10

E (X | Y )

conditional expectation

expected value of random variable X given Y

E (X | Y=2) = 5

var (X ) variance variance of random variable X var (X ) = 4

σ2

variance

variance of population values σ2 = 4

std (X ) standard deviation

standard deviation of random variable X std (X ) = 2

σX

standard deviation

standard deviation value of random variable X σX = 2

median

middle value of random variable x

cov (X ,Y )

covariance covariance of

random variables X and Y cov (X,Y ) = 4

corr (X ,Y ) correlation

correlation of

random variables X and Y corr (X,Y ) = 0.6

ρX ,Y

correlation correlation of

random variables X and Y

ρX ,Y = 0.6

summation summation - sum of

all values in range of series

∑∑

double summation

double summation

Mo mode value that occurs most frequently in population

MR mid-range MR = (x max+x min)/2 Md sample median half the population is

below this value

Q1lower / first

quartile 25% of population are below this value

Q2median /

second quartile 50% of population are below this value = median of samples

Q3upper / third

quartile 75% of population are below this value

x sample mean average / arithmetic

mean

x = (2+5+9) / 3 = 5.333

s2sample

variance population samples variance estimator

s2 = 4

s sample

standard

deviation

population samples

standard deviation

estimator

s = 2

z x standard score z x = (x-x) / s x

X ~ distribution of X distribution of

random variable X

X ~ N(0,3)

N(μ,σ2) normal

distribution

gaussian distribution X ~ N(0,3)

U(a,b) uniform

distribution

equal probability in

range a,b

X ~ U(0,3)

exp(λ)exponential

distribution

f (x)= λe-λx , x≥0

gamma(c, λ)gamma

distribution

f (x) = λ c x c-1e-λx /

Γ(c), x≥0

χ 2(k) chi-square

distribution

f (x) = x k/2-1e-x/2 /

( 2k/2 Γ(k/2) )

F (k1, k2) F distribution

Bin (n ,p )

binomial distribution f (k ) = n C k p k (1-p )n-k

Poisson (λ)

Poisson distribution f (k ) = λk e -λ / k !

Geom (p )

geometric distribution f (k ) = p (1-p ) k

HG (N ,K ,n ) hyper-geometric distribution

Bern (p ) Bernoulli distribution

Set theory symbols

Symbol

Symbol Name

Meaning / definition

Example

{ }

set a collection of elements

A = {3,7,9,14},

B = {9,14,28} A ∩ B intersection

objects that belong to set A and set B

A ∩

B = {9,14} A ∪ B union

objects that belong to set A or set B

A ∪

B = {3,7,9,14,28} A ? B subset

subset has fewer elements or equal to the set

{9,14,28} ? {9,14,28} A ? B proper subset / strict

subset has fewer elements than

{9,14} ?

subset the set {9,14,28}

A ?

B not subset left set not a subset of right set

{9,66} ?

{9,14,28}

A ?

B superset

set A has more elements or equal

to the set B

{9,14,28} ?

{9,14,28}

A ?B

proper superset / strict

superset

set A has more elements than set

B

{9,14,28} ?

{9,14}

A ?

B not superset set A is not a superset of set B

{9,14,28} ?

{9,66} 2A power set all subsets of A

power set all subsets of A

A =

B equality both sets have the same members

A={3,9,14},

B={3,9,14},

A=B

A c complement

all the objects that do not belong to

set A

A \

B relative complement

objects that belong to A and not to

B

A = {3,9,14},

B = {1,2,3},

A-B = {9,14} A - B relative complement

objects that belong to A and not to

B

A = {3,9,14},

B = {1,2,3},

A-B = {9,14} A ? B symmetric difference

objects that belong to A or B but

not to their intersection

A = {3,9,14},

B = {1,2,3},

A ?

B =

{1,2,9,14}

A ?

B symmetric difference

objects that belong to A or B but

not to their intersection

A = {3,9,14},

B = {1,2,3},

A ?

B =

{1,2,9,14}

a∈A element of set membership A={3,9,14}, 3 ∈

A

x?A not element of no set membership A={3,9,14}, 1 ?

A

(a ,b ) ordered pair collection of 2 elements

A×B cartesian product set of all ordered pairs from A and B

|A| cardinality the number of elements of set A

A={3,9,14}, |A|=3 #A cardinality the number of elements of set A

A={3,9,14}, #A=3

aleph-null

infinite cardinality of natural numbers set

aleph-one cardinality of countable ordinal numbers set

? empty set ? = { }

C = {?}

universal set

set of all possible values

natural numbers / whole numbers set (with zero) 0 = {0,1,2,3,4,...}

0 ∈ 0

1

natural numbers / whole

numbers set (without zero)

1 = {1,2,3,4,5,...}

6 ∈ 1

integer numbers set

= {...-3,-2,-1,0,1,2,3,...} -6 ∈

rational numbers set

= {x | x =a /b , a ,b ∈}

2/6 ∈

real numbers set

= {x | -∞ < x <∞} 6.343434∈

complex numbers set

= {z | z=a +bi ,

-∞

6+2i ∈

∨reversed caret or x∨y | vertical line or x | y x' single quote not - negation x'

x bar not - negation x

?not not - negation ?x ! exclamation mark not - negation ! x ⊕circled plus / oplus exclusive or - xor x⊕y ~ tilde negation ~ x ?implies

?equivalent if and only if (iff)

?equivalent if and only if (iff)

?for all

?there exists

?there does not exists

∴therefore

∵because / since

e e constant / Euler's

number e = 2.718281828...

e = lim

(1+1/x)x ,x→∞

y ' derivative derivative - Lagrange's notation (3x3)' = 9x2

y '' second derivative derivative of derivative (3x3)'' = 18x

y(n)nth derivative n times derivation (3x3)(3) = 18

derivative derivative - Leibniz's notation d(3x3)/dx = 9x2

second derivative derivative of derivative d2(3x3)/dx2 = 18x

nth derivative n times derivation

time derivative derivative by time - Newton's notation

time second

derivative

derivative of derivative

D x y derivative derivative - Euler's notation

D x2y second derivative derivative of derivative

partial derivative ?(x2+y2)/?x = 2x ∫integral opposite to derivation ∫f(x)dx

∫∫double integral integration of function of 2

variables

∫∫f(x,y)dxdy

∫∫∫triple integral integration of function of 3

variables

∫∫∫f(x,y,z)dxdydz

∮closed contour / line

integral

?closed surface

integral

?closed volume

integral

[a,b] closed interval [a,b] = {x | a ≤ x ≤ b}

(a,b) open interval (a,b) = {x | a < x < b}

i imaginary unit i≡ √-1 z = 3 + 2i z* complex conjugate z = a+bi→z*=a-bi z* = 3 - 2i z complex conjugate z = a+bi→z = a-bi z = 3 - 2i ?nabla / del gradient / divergence operator ?f (x,y,z)

vector

unit vector

x * y convolution y(t) = x(t) * h(t)

Laplace transform F(s) = {f (t)}

Fourier transform X(ω) = {f (t)}

δdelta function

∞lemniscate infinity symbol

数学符号英文表示

英语数学符号 +plus加号;正号 -minus减号;负号 ±plus or minus正负号 ×is multiplied by乘号 ÷is divided by除号 =is equal to等于号 ≠is not equal to不等于号 ≡is equivalent to全等于号 ≌is equal to or approximately equal to等于或约等于号 ≈is approximately equal to约等于号 <is less than小于号 >is greater than大于号 ≮is not less than不小于号 ≯is not more than不大于号 ≤is less than or equal to小于或等于号 ≥is more than or equal to大于或等于号 %per cent百分之… ‰per mill千分之… ∞infinity无限大号 ∝varies as与…成比例

√(square) root平方根 ∵since; because因为 ∴hence所以 ∷equals, as (proportion)等于,成比例∠angle角 ?semicircle半圆 ?circle圆 ○circumference圆周 πpi 圆周率 △triangle三角形 ?perpendicular to垂直于 ∪union of并,合集 ∩intersection of 交,通集 ∫the integral of …的积分 ∑(sigma) summation of总和 °degree度 ′minute分 ″second秒 ℃Celsius system摄氏度 {open brace, open curly左花括号 }close brace, close curly右花括号

最全的Proteus电子元件符号大全及汉英对照表分析

各种电子元件符号 正弦交流电流的公式为i=Isin2πft i是交流电流的瞬时值,I是交流电流的最大值,f是交流电的频率,t称为时间 随着时间的推移,交流电流可以从零变到最大值,从最大值变到零,又从零变到负的最大值,从负的最大值变到零。在三角函数中2πft相当于角度,它反映了交流电任何时刻所处的状态,是在增大还是在减小,是正的还是负的等等。因此把2πft叫做相位,或者叫做相。 二极管 表示符号:D 变容二极管 表示符号:D 双向触发二极管 表示符号:D 稳压二极管 表示符号:ZD,D 稳压二极管 表示符号:ZD,D 桥式整流二极管 表示符号:D 肖特基二极管隧道二极管光敏二极管或光电接收二极

隧道二极管管 发光二极管 表示符号:LED 双色发光二极管 表示符号:LED 光敏三极管或光电接收三极 管 表示符号:Q,VT 单结晶体管(双基极二极管) 表示符号:Q,VT 复合三极管 表示符号:Q,VT NPN型三极管 表示符号:Q,VT PNP型三极管表示符号:Q,VT PNP型三极管 表示符号:Q,VT NPN型三极管 表示符号:Q,VT 带阻尼二极管NPN型三极管 表示符号:Q,VT 带阻尼二极管及电阻NPN型 三极管IGBT 场效应管 带阻尼二极管IGBT 场效应 管

表示符号:Q,VT 表示符号:Q,VT 表示符号:Q,VT 接面型场效应管P-JFET 接面型场效应管N-JFET 场效应管增强型P-MOS 场效应管增强型N-MOS 场效应管耗尽型P-MOS 场效应管耗尽型N-MOS 电阻电阻器或固定电阻表 示符号:R 电阻电阻器或固定电阻表 示符号:R 电位器 表示符号:VR,RP,W 可调电阻 表示符号:VR,RP,W 电位器 表示符号:VR,RP,W 可调电阻 表示符号:VR,RP,W 三脚消磁电阻二脚消磁电阻 压敏电阻热敏电阻

英文符号大全

+ plus 加号;正号 - minus 减号;负号 ± plus or minus 正负号 × is multiplied by 乘号 ÷ is divided by 除号 =is equal to 等于号 ≠ is not equal to 不等于号 ≡ is equivalent to 全等于号 ≌is equal to or approximately equal to 等于或约等于号≈ is approximately equal to 约等于号 <is less than 小于号 >is more than 大于号 ≮is not less than 不小于号 ≯is not more than 不大于号 ≤ is less than or equal to 小于或等于号 ≥ is more than or equal to 大于或等于号 % per cent 百分之... ‰ per mill 千分之... ∞ infinity 无限大号 ∝varies as 与...成比例 √ (square) root 平方根 ∵since; because 因为 ∴hence 所以 ∷equals, as (proportion) 等于,成比例 ∠angle 角 ?semicircle 半圆 ?circle 圆 ○ circumference 圆周 π pi 圆周率 △ triangle 三角形 ?perpendicular to 垂直于 ∪union of 并,合集 ∩intersection of 交,通集 ∫ the integral of ...的积分 ∑ (sigma) summation of 总和 ° degree 度 ′ minute 分 ″ second 秒 ℃Celsius system 摄氏度 { open brace, open curly 左花括号 } close brace, close curly 右花括号

常用符号和运算符的英语描述

一、数学运算符号的英文表达(小数、分数、百分数和运算符号) 1. 小数表示法 (1) 小数的读法 小数点左边的数通常按基数词读,若为三位以上的数,也可按编码式读法读出,即将数字单个读出;小数点右边的数通常按编码式读法单个读出。如: 6.86 six point eight six 14.15 fourteen point one five 345.456 three four five point four five six 或three hundred and forty-five point four five six (2) 小数中“0”的读法 “0”在小数中通常读作nought(英)或zero(美),也可读作字母o。如: 0.08 (nought)point nought eight 或(zero)point zero eight 9.07 nine point o seven 2. 百分数表示法 百分数中的百分号%读作percent。如: 6% 读作six percent 0.6% 读作(nought)point six percent 500% 读作five hundred percent 3. 倍数表示法 倍数表示方法很多,如: This room is four times as big as mine. 这个房间是我房间的四倍。 This room is three times larger than that one. 这个房间比那个房间大两倍。 The output of coal has doubled. 煤的产量增加了一倍。 My aunt is as old again as I am. 我姑姑年龄比我大一倍。 Productivity is increased three fold. 生产效率提高了两倍。 The volume of the Sun is about 1,300,000 times that of the Earth. 太阳的体积约为地球的1300000倍。 4. 加减乘除式的读法 6+5=11 Six plus five is eleven 或Six and five is eleven. 11-6=5 Eleven minus six is five. 或Six from eleven is five. 4×5=20 Four multiplied by five is twenty.或Four times five is twenty. 20÷4=5 Twenty divided by four is five. 或Four into twenty goes five.

英语标点符号大全

中英文标点符号地读法用法大全 ⒈汉语中地某些标点符号为英语所没有. ⑴顿号(、):顿号在汉语中起分割句子中地并列成分地作用;英语中没有顿号,分割句中地并列成分多用逗号.如:, , . 注意:类似地情况下,最后一个逗号后可加,这个逗号也可省略, (,) . ⑵书名号(《》):英文没有书名号,书名、报刊名用斜体或者下划线表示.如: 《哈姆雷特》' ' 《冬天地童话》《纽约时报》另外,英语中文章、诗歌、乐曲、电影、绘画等地名称和交通工具、航天器等地专有名词也常用斜体来表示. ⑶间隔号(?):汉语有间隔号,用在月份和日期、音译地名和姓等需要隔开地词语地正中间,如"一二?九"、"奥黛丽?赫本(人名)"等.英语中没有汉语地间隔号,需要间隔时多用逗号. ⑷着重号:有时汉语用在文字下点实心圆点表示需要强调地词语,这些实心点就是着重号.而英语中没有这一符号,需强调某些成分时可借助文字斜体、某些强调性词汇、特殊句型、标点停顿等多种方法. ⒉英语中地某些标点符号为汉语所没有. ⑴撇号('):该符号主要表示①所有格,如' ' ;②数字、符号、字母或词形本身地复数,如' .; ③省略了字母、数字或单词,如'()'(). ⑵连字号():该符号主要用于以下几种情况.①复合词,如.②派生词地词缀与词根或词之间,如.③两个比分、比赛对手、地名、人名、数字之间,可视情况译为"比""对""至"等.④单词移行,把在一行写不开地单词按音节移到下一行,但必须注意:. 单音节词不移行. . 曲折变化后地词尾,如等一般不移行.. 数字、缩略词不宜移行.. 易引起歧义地词不移行,如不宜移行为.. 移行后行尾不宜只剩一个字母,如不宜移为. . 带词缀地词应在词缀和词根处移行,如移为.. 复合词在复合成分之间移行,如移为. ⑶斜线号或():该符号主要起分割作用,如. 也常用于标音,如. ⒊某些符号在汉英两种语言中地形式不同. ⑴中文地句号是空心圈(.),英文地句号是实心点(.). ⑵英文地省略号是三个点(...),位置在行底;中文地为六个点(......),居于行中.在美国英语中,如果省略号恰好在句尾,就用四个点,如' ' .... ⑶英文地破折号是(),中文地是(). 四、美国英语与英国英语在标点符号方面地细微差别 .引号地用法:①属于引语地逗号、句号在美国英语中位于引号内,而在英国英语中多位于引号外;②引语内再套用引语时,美国英语中双引号在外单引号在内,而英国英语中地单引号在外、双引号在内. .冒号地用法:①在小时与分钟之间,美国英语多用冒号,英国英语多用句号;②美国

英语标点符号大全1

中英文标点符号的读法用法大全 ⒈ 汉语中的某些标点符号为英语所没有。 ⑴ 顿号(、):顿号在汉语中起分割句子中的并列成分的作用;英语中没有顿号,分割句中的并列成分多用逗号。如: She slowly, carefully, deliberately moved the box. 注意:类似的情况下,最后一个逗号后可加and,这个逗号也可省略--She slowly, carefully(,) and deliberately moved the box. ⑵ 书名号(《》):英文没有书名号,书名、报刊名用斜体或者下划线表示。如: Hamlet / Hamlet 《哈姆雷特》 Winter's Tale / Winter's Tale 《冬天的童话》 The New York Times / The New York Times 《纽约时报》 另外,英语中文章、诗歌、乐曲、电影、绘画等的名称和交通工具、航天器等的专有名词也常用斜体来表示。 ⑶ 间隔号(?):汉语有间隔号,用在月份和日期、音译的名和姓等需要隔开的词语的正中间,如"一二?九"、"奥黛丽?赫本(人名)"等。英语中没有汉语的间隔号,需要间隔时多用逗号。 ⑷ 着重号:有时汉语用在文字下点实心圆点表示需要强调的词语,这些实心点就是着重号。而英语中没有这一符号,需强调某些成分时可借助文字斜体、某些强调性词汇、特殊句型、标点停顿等多种方法。 ⒉ 英语中的某些标点符号为汉语所没有。 ⑴ 撇号--Apostrophe('):该符号主要表示?所有格,如Shakespear's plays / the boy's book;?数字、符号、字母或词形本身的复数,如The teacher had only four A's in his cl ass.; ?省略了字母、数字或单词,如let's(=let us)/ I've(=I have)。 ⑵ 连字号--Hyphen(-):该符号主要用于以下几种情况。?复合词,如world- famous。?派生词的词缀与词根或词之间,如co-worker。?两个比分、比赛对手、地名、人名、数字之间,可视情况译为"比""对""至"等。?单词移行,把在一行写不开的单词按音节移到下一行,但必须注意:a. 单音节词不移行。 b. 曲折变化后的词尾,如-er/-or/-ing等一般不移行。c. 数字、缩略词不宜移行。 d. 易引起歧义的词不移行,如legend不宜移行为leg-end。 e. 移行后行尾不宜只剩一个字母,如alone不宜移为a-lone。 f. 带词缀的词应在词缀和词根处移行,如disappear移为dis-appear。 g. 复合词在复合成分之间移行,如heartsick移为heart-sick。 ⑶ 斜线号--Virgule或Slash(/):该符号主要起分割作用,如It could be for staff and / or students. 也常用于标音,如bed /bed/。 ⒊ 某些符号在汉英两种语言中的形式不同。 ⑴ 中文的句号是空心圈(。),英文的句号是实心点(.)。

常用数学符号大全

常用数学符号大全 Company Document number:WTUT-WT88Y-W8BBGB-BWYTT-19998

常用数学输入符号:~~≈ ≡ ≠ =≤≥ <>≮≯∷ ±+- × ÷/∫ ∮∝∞ ∧∨∑ ∏ ∪∩ ∈∵∴//⊥‖ ∠⌒≌∽√()【】{}ⅠⅡ⊕⊙∥αβγδεζηθΔαβγδεζηθικλμνξοπρστυφχψω ΑΒΓΔΕΖΗΘΙΚ∧ΜΝΞΟ∏Ρ∑ΤΥΦΧΨΩ абвгдеёжзийклмнопрстуфхцчшщъыьэюя АБВГДЕЁЖЗИЙКЛМНОПРСТУФХЦЧШЩЪЫЬЭЮЯ

sin(x) 在自变量x处的正弦函数值 exp(x) 在自变量x处的指数函数值,常被写作e x a^x a的x次方;有理数x由反函数定义 ln x exp x 的反函数 a x同 a^x log b a 以b为底a的对数; b log b a = a cos x 在自变量x处余弦函数的值 tan x 其值等于 sin x/cos x cot x 余切函数的值或 cos x/sin x sec x 正割含数的值,其值等于 1/cos x csc x 余割函数的值,其值等于 1/sin x asin x y,正弦函数反函数在x处的值,即 x = sin y acos x y,余弦函数反函数在x处的值,即 x = cos y atan x y,正切函数反函数在x处的值,即 x = tan y acot x y,余切函数反函数在x处的值,即 x = cot y asec x y,正割函数反函数在x处的值,即 x = sec y acsc x y,余割函数反函数在x处的值,即 x = csc y θ角度的一个标准符号,不注明均指弧度,尤其用于表示atan x/y,当x、y、z用于表示空间中的点时 i, j, k 分别表示x、y、z方向上的单位向量 (a, b, c) 以a、b、c为元素的向量 (a, b) 以a、b为元素的向量 (a, b) a、b向量的点积 ab a、b向量的点积 (ab) a、b向量的点积 |v| 向量v的模 |x| 数x的绝对值 Σ表示求和,通常是某项指数。下边界值写在其下部,上边界值写在其上部。 如j从1到100 的和可以表示成:。这表示1 + 2 + … + n M 表示一个矩阵或数列或其它 |v> 列向量,即元素被写成列或可被看成k×1阶矩阵的向量

英语中标点符号的用法大全

英语中标点符号的用法大全 1、逗号(comma) , 英文中逗号的作用和汉语是一样的。另外,逗号还使用于用who和which的定于从句。 英文中的分号和逗号是同一符号。分号隔开并列关系的单词和短语。需要注意的是,使用了分号的短语一般最后一项内容前都是用了and或者or,此时和汉语所不同的是and或or前也应该使用分号(这是最最最常犯的语法错误之一,很多英语使用者都不知道),否则有可能造成歧义。比如,猫、狗和牛应该是"cat, dog, and ox"而非"cat, dog and ox"。 2、句号(period) . 英文中的句号的作用和汉语一样。 英文中的简写符号和句号是同一符号,比如Mr.、 Ms.、etc.等等。如果句号作为简写符号使用,那么这个词语简写前后面的符号应该照常写上,因为简写号并非句号,也不遵循句号的语法。比如Entreprise Co., Ltd或者I invited Tom, Jerry, etc..(注意两个点)。

3、冒号(colon) : 英文中的冒号的作用和汉语一样。当冒号后是引用一个人说的话,也可以使用逗号。 4、分号(semi-colon) ; 英文中的分号的作用和汉语一样。需要注意的是,分号和逗号有时是可以互相交替的,比如如下的情况。 Tom met me, and later he met Joan. Tom met me; later he met Joan. 或 Tom hates cheese, but he likes butter. Tom hates cheese; he like butter, though. 当只有两个句子相并列时,分号可以和被逗号+连结词互替。但注意第二个例子里,but的转接意是需要用其他成份补充的。 5、引号(quotation mark) 英文中的引号的作用和汉语一样,可用于引用和戏虐。 引号同时可以作为书名号,但只能使用于短诗歌,短故事,短电影和歌曲上。参见下文中“斜体字”。在英国,引用原话应该使用单引号,而话中话应该使用双引号。自然,引用和戏虐应该使用单引号了。 在美国,情况恰恰相反。另外,在美国,如果后引号和一

常用数学符号英文对照

×times sign multiplication 2 × 3 = 6 ·multiplication dot multiplication 2 · 3 = 6 ÷division sign / division 6 ÷ 2 = 3 obelus / division slash division 6 / 2 = 3 –horizontal line division / fraction mod modulo remainder calculation 7 mod 2 = 1 . period decimal point, decimal 2.56 = 2+56/100 separator a b power exponent 23= 8 a^b caret exponent 2 ^ 3= 8 √a square root √a ·√a = a√9 = ±3 3√a cube root 3√a ·3√a ·3√a = a3√8 = 2 4√a fourth root 4√a ·4√a ·4√a ·4√a = a4√16 = ±2 n√a n-th root (radical) for n=3, n√8 = 2 % percent1% = 1/100 10% × 30 = 3 ‰per-mille1‰ = 1/1000 = 0.1%10‰ × 30 = 0.3 ppm per-million1ppm = 1/1000000 10ppm × 30 = 0.0003 ppb per-billion 1ppb = 1/1000000000 10ppb × 30 = 3×10-7 ppt per-trillion 1ppt = 10-1210ppt × 30 = 3×10-10 Geometry symbols Symbol Symbol Name Meaning / definition Example ∠angle formed by two rays ∠ABC = 30° measured ABC = 30°angle spherical angle AOB = 30°∟right angle = 90°α = 90°

数学运算符 的英文表达

数学运算符号的英文表达 小数、分数、百分数和运算符号 1. 小数表示法 (1) 小数的读法 小数点左边的数通常按基数词读,若为三位以上的数,也可按编码式读法读出,即将数字单个读出;小数点右边的数通常按编码式读法单个读出。如: 6.86 six point eight six 14.15 fourteen point one five 345.456 three four five point four five six 或three hundred and forty-five point four five six (2) 小数中“0”的读法 “0”在小数中通常读作nought(英)或zero(美),也可读作字母o。如: 0.08 (nought)point nought eight 或(zero)point zero eight 9.07 nine point o seven 2. 百分数表示法 百分数中的百分号%读作percent。如: 6% 读作 six percent 0.6% 读作(nought) point six percent 500% 读作five hundred percent 3. 倍数表示法

倍数表示方法很多,如: This room is four times as big as mine. 这个房间是我房间的四倍。 This room is three times larger than that one. 这个房间比那个房间大两倍。The output of coal has doubled. 煤的产量增加了一倍。 My aunt is as old again as I am. 我姑姑年龄比我大一倍。 Productivity is increased three fold. 生产效率提高了两倍。 The volume of the Sun is about 1,300,000 times that of the Earth. 太阳的体积约为地球的1300000倍。 4. 加减乘除式的读法 6+5=11 Six plus five is eleven 或Six and five is eleven. 11-6=5 Eleven minus six is five. 或Six from eleven is five. 4×5=20 Four multiplied by five is twenty.或Four times five is twenty. 20÷4=5 Twenty divided by four is five. 或Four into twenty goes five. 15:5=3 The ratio of fifteen to five is three. 32 Three squared is nine. 23 Two cubed is eight. 24 The fourth power of two is sixteen. X^(1/2)=Y The square root of X is Y. X^(1/3)=Y The cubic root of X is Y. a > b a is more than b. a < b a is less than b. a ≈ b a approximately equals to b. a ≠ b a is not equal to b.

GMAT常用数学符号与英文解释

+ plus, positive -minus, negative ×multiplied by, times ÷(/) divided by = is equal to, equals ≠ not equal to ≈ is approximately equal to, approximately equals >greater than <less than ≥ equal to or greater than ≤ equal to or less than >> much greater than << much less than ∈is a member of the set ( ) round brackets, parentheses [ ] square brackets { } braces ∽similar to ≌congruent to ⊥perpendicular to, at right angles with ∥parallel to ∠angle

⊙circle e the base o f natural logarithms, approx. 2. 71828 π pi; the ratio of the circumference of a circle to its diameter, diameter, approx, 3.14159 n! factorial n, n( n-1) ( n-2) (n-3) (1) ︱x︱the absolute value of x X2 raised to the second power X3 X cube; X cubed; the cube of X; X to the third power; the third power of X; X raised to the third power X-10 X to the minus tenth( tenth power) √x the square root of x 3√x the cube root of x X n the nth power of X, X to the power n, X raised to the nth power, X to the nth power 1/X n one over X to the n α 5/β2 α to the five over β squared X1/n(n√X) the nth root of X, X to the power one over n y=f(x) y is a function of x a+b a plus b; the sum of a and b; the total of a and b; a added to b; a increased to b; a increased by b; a more than b; a greater than b a-b a minus b; a less b the difference of a and b; from a subtract b; a takes away b; a decreased by b; a diminished by b; b is

英文版符号全

Affiliation callout symbols order is: *, ?, ?, §, ?, ||, lll, llll, #, **, ??.英文版符号: > < ≤ ≥ ± +plus加号;正号 -minus减号;负号 ±plus or minus正负号 ×is multiplied by乘号 ÷is divided by除号 =is equal to等于号 ≠is not equal to不等于号 ≡is equivalent to全等于号 ≌is equal to or approximately equal to等于或约等于号≈is approximately equal to约等于号 <is less than小于号 >is more than大于号 ≦is not less than不小于号 ≧is not more than不大于号 ≤is less than or equal to小于或等于号 ≥is more than or equal to大于或等于号 %per cent百分之… ‰per mill千分之… ∞infinity无限大号 ∝varies as与…成比例 √(square) root平方根 ∵since; because因为 ∴hence所以 ∷equals, as (proportion)等于,成比例 ∠angle角 ?semicircle半圆 ?circle圆 ○circumference圆周 πpi 圆周率 △triangle三角形 ?perpendicular to垂直于 ∪union of并,合集 ∩intersection of 交,通集 ∫the integral of …的积分 ∑(sigma) summation of总和 °degree度 ′minute分

口译符号大全

口译符号--------------一直在找...终于有了!对英语专业的很有用 一、缩略词 英语当中缩略词使用的频率很高,如IMP: important, ASAP: as soon as possible。很显然如果能熟练掌握缩略词,会对考试大有裨益。 缩略词的写法一般为四种方式: F拿掉所有元音 MKT: market MGR: manager MSG: message STD: standard RCV: receive F保留前几个字母 INFO :information INS :insurance EXCH exchange I owe you IOU In stead of I/O F保留开头和结尾个发音字母 WK:week RM:room

PL:people F根据发音 R :are THO:though THRU:through 高级口译听力常用英语缩略词表 缩略词原词 APT :Apartment ACC:Accountant ACDG :According ACPT: Accept AD :Advertisement ADS :Address ADV:Advice AMAP :As much/many as possible AMT:Amount APV :Approve ASAP :As soon as possible BAL :Balance BLDG :Building

CERT Certificate CFM :Conform CNCL :Cancel CNF:Conference CMI :Commission CMP :Complete CMPE :Compete/competitive CMU :Communication CONC :Concern/concerning/concerned COND :Condition CO. :Company DEPT:Department DISC :Departure EXCH:Exchange EXPLN:Explain EXT:Extent FL T :Final FRT:Freight FYR :For your reference GD :Good GUAR :Guarantee H.O. Home office

符号中英文对照

+plus加号;正号 -minus减号;负号 ±plus or minus正负号 ×is multiplied by乘号 ÷is divided by除号 =is equal to等于号 ≠is not equal to不等于号 ≡is equivalent to全等于号 ≌is equal to or approximately equal to等于或约等于号 ≈is approximately equal to约等于号 <is less than小于号 >is greater than大于号 ≮is not less than不小于号 ≯is not more than不大于号 ≤is less than or equal to小于或等于号 ≥is more than or equal to大于或等于号 %per cent百分之… ‰per mill千分之… ∞infinity无限大号 ∝varies as与…成比例 √(square) root平方根 ∵since; because因为 ∴hence所以 ∷equals, as (proportion)等于,成比例∠angle角 ?semicircle半圆 ?circle圆 ○circumference圆周 πpi 圆周率 △triangle三角形 ?perpendicular to垂直于 ∪union of并,合集 ∩intersection of 交,通集 ∫the integr al of …的积分 ∑(sigma) summation of总和 °degree度 ′minute分 ″second秒 ℃Celsius system摄氏度{open brace, open curly左花括号 }close brace, close curly右花括号 (open parenthesis, open paren左圆括号 )close parenthesis, close paren 右圆括号 () brakets/ parentheses括号[open bracket 左方括号 ]close bracket 右方括号 [] square brackets方括号 .period, dot句号,点 |vertical bar, vertical virgule竖线

各种数学符号英文翻译

+ plus加号;正号 - minus减号;负号 ±plus or minus正负号 ×is multiplied by乘号 ÷is divided by除号 =is equal to等于号 ≠is not equal to不等于号 ≡is equivalent to全等于号 ≌is equal to or approximately equal to等于或约等于号≈is approximately equal to约等于号 <is less than小于号 >is greater than大于号 ≮is not less than不小于号 ≯is not more than不大于号 ≤is less than or equal to小于或等于号 ≥is more than or equal to大于或等于号 % per cent百分之… ‰per mill千分之… ∞infinity无限大号 ∝varies as与…成比例 √(square) root平方根 ∵since; because因为 ∴hence所以 ∷equals, as (proportion)等于,成比例 ∠angle角 ?semicircle半圆 ?circle圆 ○circumference圆周 πpi 圆周率 △triangle三角形 ?perpendicular to垂直于 ∪union of并,合集 ∩intersection of 交,通集 ∫the integral of …的积分 ∑(sigma) summation of总和 °degree度 ′minute分 ″second秒 ℃Celsius system摄氏度 {open brace, open curly左花括号 }close brace, close curly右花括号

常见符号在英语中的表达(单词对照)

各种符号在英语中如何表达+ plus 加号;正号 - minus 减号;负号 ± plus or minus 正负号 × is multiplied by 乘号 ÷ is divided by 除号 = is equal to 等于号 ≠ is not equal to 不等于号 ≡ is equivalent to 全等于号 ≌ is equal to or approximately equal to 等于或约等于号 ≈ is approximately equal to 约等于号 < is less than 小于号 > is greater than 大于号 ≤ is not less than 不小于号 ≥ is not more than 不大于号 ? is less than or equal to 小于或等于号 ? is more than or equal to 大于或等于号 % per cent 百分之… ‰ per mill 千分之… ∞ infinity 无限大号 ∝ varies as 与…成比例 √ (square) root 平方根 ∵ since; because 因为 ∴ hence 所以 ∷ equals, as (proportion) 等于,成比例 ∟ angle 角 ? semicircle 半圆 ≦ circle 圆 ○ circumference 圆周 π pi 圆周率 △ triangle 三角形 ≧ perpendicular to 垂直于∪ union of 并,合集 ∩ intersection of 交,通集 ∫ the integral of …的积分 ∑ (sigma) summation of 总和

特殊符号大全8908194

特殊符号大全,各式符号图案、表情符号今日刚好要用到特殊符号大全,每次要找都要花一些時間,想說不如自己來好好整理一下,整理成一個特殊符號大全完整版,方便自己也方便網民,這篇的屬性較難歸類,所以就放在我的宅日記中囉! 在网络上常常看到许多很特别的特殊符号,像是符号图案、爱心符号、星星符号,但不知道爱心符号怎么打出来,星星符号怎么打?其实这些特殊符号怎么打是有方法的,像是使用特别的输入法,例如呒虾米输入法、内码输入法,或是使用V键加上数字键这种特殊符号输入法或搜狗拼音输入法去打出这些特殊符号,不过这样做实在太累了,因为当你要查表来用特殊符号输入法打出这些特殊符号,还不如使用最简单的方法,就是直接“复制”、“贴上”啰!这样最快、最省力。 所以阿宅星这边整理了各种符号图案、表情符号可爱图、常被使用的QQ符号,常见的标点符号及英文符号、日文符号、韩文符号都有!比较少见的特别符号像是非主流符号、火星文符号、音符符号、箭头符号、键盘符号、数字符号、星星符号、爱心符号。和钱有关的欧元符号、人民币符号、日元符号、英镑符号,应有尽有,可以说是最完整的特殊符号大全!如果你喜欢,可以把此页加入书签,要用的时候直接叫出本网页,这样最方便啰! 注:如果有的符号显示为正方形空格,表示您的浏览器不支援这符号(例如旧的IE 6.0浏览器),请升级为新版的IE 8以上或使用Firefox浏览器。符号大全

选择想找的符号类型,可以快速找到已整理好的表格喔!如果您只是想单纯找已经整理好的个性符号组合,请见个性符号大全一文。 爱心星星箭头符号图案 框线填色方块数字英文 货币标点符号括号表情 音乐圆圈中文字数学希腊字母 日文韩文特殊字母注音符号 爱心符号大全 爱心符号怎么打?不用打直接复制最快,目前共收集五种爱心符号。 ????? 星星符号大全 星星符号怎么打?不用打直接复制最快,目前共收集九种星星符号。 ★?☆?????? 箭头符号大全 ↑↓←→↖↗↙↘?? ?????????? ?????????? ??????????

各种数学符号的英文表达

“加减乘除”怎么说?各种数学符号的英文表达,看完学渣变学霸! 不知大家还记得当年所画过的函数图吗?不停地标点,画线,有时候为了画出好看的弧度,甚至要多擦几遍才能做到...每一条函数都有不一样的形状,把它们组合起来,也许会有意想不到的效果噢 数学,相信对于不少人,特别是文科班女生的来说,都是一个大难题。在考试时,靠的就是自己的英语来拉分。那么,想要用英语来说出数学公式,又该怎么表达呢?

一. 首先区分一下Equations 和Formulas的使用 1. An equation等式 says that two things are equal. It will have an equals sign "=" like this: x + 2 = 6 2. A formula公式 is a special type of equation that shows the relationship between different variables. 也是一种特殊的等式,只不过展示的是不同变量之间的关系 举个栗子:我们常用到的长方体的体积等于长X宽X高就是一个formula V = lwh V stands for volume, l for length, w for width, and h for height. 3. Algebra代数 不用多说,就是XY未知数,多年实战,你们懂的

二. 符号 要说公式,总不能只说个字母就完事吧,加减乘除先来一翻1.加号+ plus x + 1:x plus one 2.减号- minus x -1:x minus one 3.乘号x multiplied by x times y; x multiplied by y 4.除号÷ over; divided by x over y; x divided by y; 除了这些小学的算术题外,还有这些 1.约等于x ≈ y x is approximately equal to y 2.大于等于x ≥ y x is greater than or equal to y 3.小于等于x ≤ y x is less than or equal to y

电气符号中英文对照

电路图符号中英文对照表: AAT 电源自动投入装置 AC 交流电 DC 直流电 FU 熔断器 G 发电机 M 电动机 HG 绿灯 HR 红灯 HW 白灯 HP 光字牌 K 继电器 KA(NZ) 电流继电器(负序零序) KD 差动继电器 KF 闪光继电器 KH 热继电器 KM 中间继电器 KOF 出口中间继电器 KS 信号继电器 KT 时间继电器 KV(NZ) 电压继电器(负序零序) KP 极化继电器 KR 干簧继电器 KI 阻抗继电器 KW(NZ) 功率方向继电器(负序零序) KM 接触器 KA 瞬时继电器;瞬时有或无继电器;交流继电器KV电压继电器 L 线路

QF 断路器 QS 隔离开关 T 变压器 TA 电流互感器 TV 电压互感器 W 直流母线 YC 合闸线圈 YT 跳闸线圈 PQS 有功无功视在功率 EUI 电动势电压电流 SE 实验按钮 SR 复归按钮 f 频率 Q——电路的开关器件 FU——熔断器 FR——热继电器 KM——接触器 KA——1、瞬时接触继电器 2、瞬时有或无继电器 3、交流继电器KT——延时有或无继电器 SB——按钮开关 Q——电路的开关器件 FU——熔断器 KM——接触器 KA——1、瞬时接触继电器 2、瞬时有或无继电器 3、交流继电器KT——延时有或无继电器 SB——按钮开关 SA 转换开关 电流表 PA 电压表 PV 有功电度表 PJ

无功电度表 PJR 频率表 PF 相位表 PPA 最大需量表(负荷监控仪) PM 功率因数表 PPF 有功功率表 PW 无功功率表 PR 无功电流表 PAR 声信号 HA 光信号 HS 指示灯 HL 红色灯 HR 绿色灯 HG 黄色灯 HY 蓝色灯 HB 白色灯 HW 连接片 XB 插头 XP 插座 XS 端子板 XT 电线电缆母线 W 直流母线 WB 插接式(馈电)母线 WIB 电力分支线 WP 照明分支线 WL 应急照明分支线 WE 电力干线 WPM 照明干线 WLM 应急照明干线 WEM

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