常见数学公式的英文表达

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1、17.2.1999/H.VÄaliahoPronunciationofmathematicalexpressionsThepronunciationsofthemostcommonmathematicalexpressionsaregiveninthelistbelow.Ingeneral,theshortestversionsarepreferred(unlessgreaterprecisionisnecessary).1.Logic9thereexists8forallp)qpimpliesq/ifp,thenqp,qpifandonlyifq/pisequiva

2、lenttoq/pandqareequivalent2.Setsx2AxbelongstoA/xisanelement(oramember)ofAx2=AxdoesnotbelongtoA/xisnotanelement(oramember)ofAA½BAiscontainedinB/AisasubsetofBA¾BAcontainsB/BisasubsetofAABAcapB/AmeetB/AintersectionBA[BAcupB/AjoinB/AunionBAnBAminusB/thedi®erencebetweenAandBA£BAcrossB/theca

3、rtesianproductofAandB3.Realnumbersx+1xplusonex¡1xminusonex§1xplusorminusonexyxy/xmultipliedbyy(x¡y)(x+y)xminusy,xplusyxxoveryy=theequalssignx=5xequals5/xisequalto5x6=5x(is)notequalto51x´yxisequivalentto(oridenticalwith)yx6´yxisnotequivalentto(oridenticalwith)yx>yxisgreaterthanyx¸yxisgre

4、aterthanorequaltoyx

5、squarerootofxp3xcuberoot(of)xp4xfourthroot(of)xpnxnthroot(of)x(x+y)2xplusyallsquared³x´2xoveryallsquaredyn!nfactorialx^xhatx¹xbarx~xtildexixi/xsubscripti/xsu±xi/xsubiXnaithesumfromiequalsonetonai/thesumasirunsfrom1tonoftheaii=14.Linearalgebrakxkthenorm(ormodulus)ofx¡¡!OAOA/vectorOAOAOA/

6、thelengthofthesegmentOAATAtranspose/thetransposeofAA¡1Ainverse/theinverseofA25.Functionsf(x)fx/fofx/thefunctionfofxf:S!TafunctionffromStoTx7!yxmapstoy/xissent(ormapped)toyf0(x)fprimex/fdashx/the(¯rst)derivativeoffwithrespecttoxf00(x)fdouble{primex/fdouble{dashx/thesecondderivativeoffwit

7、hrespecttoxf000(x)ftriple{primex/ftriple{dashx/thethirdderivativeoffwithrespecttoxf(4)(x)ffourx/thefourthderivativeoffwithrespecttox@fthepartial(derivative)offwithrespecttox1@x1@2f2thesecondpartial(derivative)offwithrespecttox1@x1Z1theintegralfromzerotoin¯nity0limthelimitasxapp