数学符号的英语表达

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1、1.Logic  ∃ thereexist∀ forallp⇒q pimpliesq/ifp,thenqp⇔q pifandonlyifq/pisequivalenttoq/pandqareequivalent2.Sets  x∈A xbelongstoA/xisanelement(oramember)ofAx∉A xdoesnotbelongtoA/xisnotanelement(oramember)ofAA⊂B AiscontainedinB/AisasubsetofBA⊃B AcontainsB/BisasubsetofAA∩B AcapB/Am

2、eetB/AintersectionBA∪B AcupB/AjoinB/AunionBAB AminusB/thediferencebetweenAandBA×B AcrossB/thecartesianproductofAandB3.Realnumbers  x+1 xplusonex-1 xminusonex±1 xplusorminusonexy xy/xmultipliedbyy   (x-y)(x+y) xminusy,xplusy   x/y xovery= theequalssignx=5 xequals5/xisequalto5x≠5

3、 x(is)notequalto5x≡y xisequivalentto(oridenticalwith)yx≡/y（x不等于y) xisnotequivalentto(oridenticalwith)yx>y xisgreaterthanyx≥y xisgreaterthanorequaltoyx

4、x

5、 mod

6、x/modulusxx2(x的平方） xsquared/x(raised)tothepower2x3 xcubedx4 xtothefourth/xtothepowerfourxn xtothenth/xtothepowernx−n xtothe(power)minusnx的（算术）平方根 (square)rootx/thesquarerootofxx的立方根 cuberoot(of)xx的4次方根 fourthroot(of)xx的n次方根 nthroot(of)x(x+y)2 xplusyallsquared(x/y)2 xoveryallsqua

7、redn! nfactorialx^ xhatx¯ xbarx˜ xtildexi xi/xsubscripti/xsuffixi/xsubi∑i=1nai thesumfromiequalsonetonai/thesumasirunsfrom1tonoftheai 4.LinearAlgebra  ‖x‖ thenorm(ormodulus)ofxOA→ OA/vectorOAOA¯ OA/thelengthofthesegmentOAAT（转置） Atranspose/thetransposeofAA−1（逆） Ainverse/theinvers

8、eofA5.Functions  f(x) fx/fofx/thefunctionfofxf:S→T afunctionffromStoTx→y xmapstoy/xissent(ormapped)toyf'(x) fprimex/fdashx/the(first)derivativeoffwithrespecttoxf''(x) fdouble-primex/fdouble-dashx/thesecondderivativeoffwithrespecttoxf'''(x) triple-primex/ftriple-dashx/thethirdder

9、ivativeoffwithrespecttoxf(4)(x) ffourx/thefourthderivativeoffwithrespecttox∂f/∂x1（f对x1的偏导） thepartial(derivative)offwithrespecttox1∂2f/∂x12(f对x1再对x2的2阶偏导） thesecondpartial(derivative)offwithrespecttox1∫0∞（积分0到∞） theintegralfromzerotoinfinitylimx→0 thelimitasxapproacheszerolimx→0

10、+ thelimitasxapproacheszerofromabovelimx→0− the