zeroislessthanxislessthan1
0≤x≤1
zeroislessthanorequaltoxislessthanorequalto1
|x|
modx/modulusx
x2
xsquared/x（raised）tothepower2
x3
xcubed
x4
xtothefourth/xtothepowerfour
xn
xtothenth/xtothepowern
x−n
xtothe（power）minusn
x
（square）rootx/thesquarerootofx
x3
cuberoot（of）x
x4
fourthroot（of）x
xn
nthroot（of）x
（x+y）2
xplusyallsquared
（xy）2
xoveryallsquared
n!
nfactorial
x^
xhat
x¯
xbar
x˜
xtilde
xi
xi/xsubscripti/xsuffixi/xsubi
∑i=1nai
thesumfromiequalsonetonai/thesumasirunsfrom1tonoftheai
4.Linearalgebra
‖x‖
thenorm（ormodulus）ofx
OA→
OA/vectorOA
OA¯
OA/thelengthofthesegmentOA
AT
Atranspose/thetransposeofA
A−1
Ainverse/theinverseofA
5.Functions
f（x）
fx/fofx/thefunctionfofx
f:
S→T
afunctionffromStoT
x→y
xmapstoy/xissent（ormapped）toy
f'（x）
fprimex/fdashx/the（first）derivativeoffwithrespecttox
f''（x）
fdouble-primex/fdouble-dashx/thesecondderivativeoffwithrespecttox
f'''（x）
triple-primex/ftriple-dashx/thethirdderivativeoffwithrespecttox
f（4）（x）
ffourx/thefourthderivativeoffwithrespecttox
∂f∂x1
thepartial（derivative）offwithrespecttox1
∂2f∂x12
thesecondpartial（derivative）offwithrespecttox1
∫0∞
theintegralfromzerotoinfinity
limx→0
thelimitasxapproacheszero
limx→0+
thelimitasxapproacheszerofromabove
limx→0−
thelimitasxapproacheszerofrombelow
logey
logytothebasee/logtothebaseeofy/naturallog（of）y
Lny
logytothebasee/logtothebaseeofy/naturallog（of）y
二、一些函数关系的读法
A与B的乘积the___productofAandB
（___中填乘积的性质，例如外积就填outer，内积就填inner）
A乘以BAtimesBorAismultipliedbyB
A/BAoverBB分之A的最普通读法
f（x）fofx函数f（x）
exp（n）etopowersofne的n次幂
三、PronunciationofNumerals数词的读法
1.CardinalsandOrdinals基数和序数
（1）100以内的数词
基数序数
RomanArabic
NumeralsNumerals
罗马数字阿拉伯数字读法数码读法
I1one1stthefirst
II2two2ndthesecond
III3three3rdthethird
IV4four4ththefourth
V5five5ththefifth
VI6six6ththesixth
VII7seven7ththeseventh
VIII8eight8ththeeighth
IX9nine9ththeninth
X10ten10ththetenth
XI11eleven11ththeeleventh
XII12twelve12ththetwelfth
XIII13thirteen13ththethirteenth
XIV14fourteen14ththefourteenth
XV15fifteen15ththefifteenth
XVI16sixteen16ththesixteenth
XVII17seventeen17ththeseventeenth
XVIII18eighteen18ththeeighteenth
XIX19nineteen19ththenineteenth
XX20twenty20ththetwentieth
XXI21twenty-one21stthetwenty-first
XXV25twenty-five25ththetwenty-fifth
XXX30thirty30ththethirtieth
XL40forty40ththefortieth
L50fifty50ththefiftieth
LX60sixty60ththesixtieth
LXX70seventy70ththeseventieth
LXXX80eighty80ththeeightieth
XC90ninety90ththeninetieth
IC99ninety-nine99ththeninety-ninth
C100onehundred100ththehundredth
CII102ahundred102ndthe（one）hundred
andtwoandsecond
246twohundredandforty-six
751sevenhundredandfifty-one
（2）1000以上的数词
1,000=onethousand一千
10,000=tenthousand一万
100,000=onehundredthousand十万
1,000,000=onemillion一百万
10,000,000=tenmillion一千万
100,000,000=onehundredmillion一亿
（3）十亿以上的大数，英美有不同的读法：
英国美国
十亿onethousandmillion=onebillion
百亿tenthousandmillion=tenbillion
千亿onehundredthousandmillion=onehundredbillion
万亿onebillion=onetrillion
2.Fractions分数
通常将分子读为基数，将分母读为序数。
1/2=a（orone）half
1/3=a（orone）third
1/4=aquarteroronefourth
1/5=a（orone）fifth
2/3=twothirds
9/10=ninetenths
53/4=fiveandthreequarters
15/64=fifteenover（orby）sixty-four
15%=fifteenpercent
4‰=fourpermill
3.Decimals小数
0.4=zero（ornought）pointfour
.01=point（ordecimal）noughtone
12.34=twelvepointthreefour
567.809=fivehundredandsixty-sevenpointeightnoughtnine
30.45=thirtypointfourfive,fiverecurring
0.3%=decimalthreepercent
4.MathematicForms数学式
（1）Addition加法
1+2=3Oneandtwoarethree.
2+3=5Twoplusthreeequalsfive.
4+0=4Fourandnoughtisequaltofour.
45+70+152=26745,70and152addedare（ormake）267
thesum（ortotal）is267.
演算时的读法：
Threeandsevenareten;
Iwrite（orIwritedown,orIputdown）anoughtandcarryone.
FourandonethatIcarryarefive,andeightmakethirteen,andthreesixteen;
Iwritedownsixandcarryone.Oneandone（thatIcarry）aretwo;
Iputdowntwo.
Thesum（ortotal,ortheresultoftheaddition）istwohundredandsixty.37,80and143addedtogether,and（ormake）260.
（2）Subtraction减法
9-4=5Nineminusfourequals（orisequalto）five.
15-7=8Sevenfromfifteenleaveseight.
23,654-8,175=15,479
8,175（takeorsubtracted）from23,654leaves15,479.
Thedifference（orTheremainder）is15,479.
Ninefromfivewon`tgo.
演算时的读法：
Noughtfromnought（leaves）nought.
Onefromoneleavesnought（ornothing）.
Twofromthree（leaves）one.
Ican`ttake（orsubtract）fivefromfour;Imustborrowten;
fivefromfourteenleavesnine.
Thedifference（orTheremainder）isninethousandonehundred.
5210（takeorsubtracted）from14,310leaves9,100.
（3）Multiplication乘法
1×0=0Onemultipliedbynoughtequalsnought.
1×1=1Onceoneisone.
2×1=2Twiceoneistwo.
3×5=15Threetimesfiveisfifteen
6×0=0Multiplysixbynothing,andtheresultisnothing.
演算时的读法:
Fivetimesnine（orNinemultipliedbyfive）areforty-five;
Iputdownfiveandcarryfour.
Fivetimessevenarethirty-fiveandfour（thatIcarry）arethirty-nine;
Iwritedownnineandcarrythree.
Fivetimessixmakethirtyandthree（thatIcarry）thirty-three;
Iputdownthirty-three.
Eighttimesnine（orEightnine）areseventwo;
Iwritetwoandcarryseven.
Eightsevensmakefifty-sixandsevenaresixty-three.
Iputdownthreeandcarrysix.
Eightsixesmakeforty-eightandsixfifty-four;
Iwritedownfifty-four.
Inowaddthepartialresults（orproducts）Five.
Twoandnineareeleven.
Threeandthreearesixandoneareseven.
Fourandthreemakeseven.
（4）Division除法
9÷3=3Ninedividedbythreemakes（orisequalto）three.
20÷5=4Fiveintotwentygoesfourtimes.
4567÷23=198余1323into4567goes198times,and13remainder.
Thequoctientis198,and13remainder.
演算时的读法:
Fifteenintothirteenwon’tgo;
fifteenintoonehundredandthirty-eightgoesninetimes;
升级会员 