常用数学符号英文对照Word文档下载推荐.docx

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常用数学符号英文对照Word文档下载推荐.docx

4islessthan5

greaterthanorequalto

5≥4,

≥ 

isgreaterthanorequalto 

lessthanorequalto

4≤5,

x≤y 

()

parentheses

calculateexpressioninsidefirst

(3+5)=16

[]

brackets

[(1+2)×

(1+5)]=18

+

plussign

addition

1+1=2

minussign

subtraction

2−1=1

±

plus-minus

bothplusandminusoperations

5=8and-2

minus-plus

bothminusandplusoperations

5=-2and8

*

asterisk

multiplication

2*3=6

×

timessign

3=6

·

multiplicationdot

÷

divisionsign/obelus

division

2=3

/

divisionslash

6/2=3

horizontalline

division/fraction

mod

modulo

remaindercalculation

7mod2=1

.

period

decimalpoint,decimalseparator

2.56=2+56/100

ab

power

exponent

23 

=8

a^b

caret

2^3 

√a

squareroot

√a 

 

=a

√9 

3

3√a

cuberoot

3√a 

3√8 

=2

4√a

fourthroot

4√a 

4√16 

2

n√a

n-throot(radical)

for 

n=3, 

n√8 

%

percent

1%=1/100

10%×

30=3

per-mille

1‰=1/1000=0.1%

10‰×

30=0.3

ppm

per-million

1ppm=1/1000000

10ppm×

30=0.0003

ppb

per-billion

1ppb=1/1000000000

10ppb×

30=3×

10-7

ppt

per-trillion

1ppt=10-12

10ppt×

10-10

Geometrysymbols

angle

formedbytworays

∠ABC=30°

measuredangle

ABC=30°

sphericalangle

AOB=30°

rightangle

=90°

α=90°

°

degree

1turn=360°

α=60°

deg

1turn=360deg

α=60deg

prime

arcminute,1°

=60′

59′

doubleprime

arcsecond,1′=60″

59′59″

line

infiniteline

AB

linesegment

linefrompointAtopointB

ray

linethatstartfrompointA

arc

arcfrompointAtopointB

=60°

perpendicular

perpendicularlines(90°

angle)

AC 

⊥ 

BC

||

parallel

parallellines

AB 

|| 

CD

congruentto

equivalenceofgeometricshapesandsize

∆ABC≅∆XYZ

~

similarity

sameshapes,notsamesize

∆ABC~∆XYZ

Δ

triangle

triangleshape

ΔABC≅ΔBCD

|x-y|

distance

distancebetweenpointsxandy

x-y 

|=5

π

piconstant

π 

=3.141592654...

istheratiobetweenthecircumferenceanddiameterofacircle

π·

=2·

r

rad

radians

radiansangleunit

360°

=2πrad

c

=2π 

grad

gradians/gons

gradsangleunit

=400grad

g

=400 

Algebrasymbols

x

xvariable

unknownvaluetofind

when2x 

=4,then 

equivalence

identicalto

equalbydefinition

:

weakapproximation

11~10

sin(0.01)≈0.01

proportionalto

∝ 

when 

kx,k 

constant

lemniscate

infinitysymbol

muchlessthan

1≪1000000

muchgreaterthan

1000000≫1

2*(3+5)=16

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

{}

braces

set

⌊x⌋

floorbrackets

roundsnumbertolowerinteger

⌊4.3⌋=4

⌈x⌉

ceilingbrackets

roundsnumbertoupperinteger

⌈4.3⌉=5

x!

exclamationmark

factorial

4!

=1*2*3*4=24

|

singleverticalbar

absolutevalue

|-5|=5

(x)

functionofx

mapsvaluesofxtof(x)

(x)=3x+5

(f 

∘ 

g)

functioncomposition

g)(x)= 

(g(x))

(x)=3x,g(x)=x-1⇒(f 

g)(x)=3(x-1)

(a,b)

openinterval

(a,b)={x 

b}

x∈(2,6)

[a,b]

closedinterval

[a,b]={x 

≤ 

∈[2,6]

delta

change/difference

∆t 

t1 

t0

discriminant

Δ= 

b2 

-4ac

sigma

summation-sumofallvaluesinrangeofseries

∑ 

xi=x1+x2+...+xn

∑∑

doublesummation

capitalpi

product-productofallvaluesinrangeofseries

∏ 

xi=x1∙x2∙...∙xn

e

econstant 

/Euler'

snumber

=2.718281828...

=lim(1+1/x)x 

 

x→∞

γ

Euler-Mascheroni 

constant

γ=0.527721566...

φ

goldenratio

goldenratioconstant

LinearAlgebraSymbols

Examp

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