数学语言的英语表述法

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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/xis

2、notanelement(oramember)ofAA⊂B          AiscontainedinB/AisasubsetofBA⊃B          AcontainsB/BisasubsetofAA∩B          AcapB/AmeetB/AintersectionBA∪B          AcupB/AjoinB/AunionBAB          AminusB/thediferencebetweenAandBA×B          AcrossB/thecar

3、tesianproductofAandB3.Realnumbers          x+1          xplusonex-1          xminusonex±1          xplusorminusonexy          xy/xmultipliedbyy         (x-y)(x+y)          xminusy,xplusy         xy          xovery=          theequalssignx=5          

4、xequals5/xisequalto5x≠5          x(is)notequalto5x≡y          xisequivalentto(oridenticalwith)yx≡y          xisnotequivalentto(oridenticalwith)yx>y          xisgreaterthanyx≥y          xisgreaterthanorequaltoyx

5、lessthanorequaltoy0

6、x

7、          modx/modulusxx2          xsquared/x(raised)tothepower2x3          xcubedx4          xtothefourth/xtothepowerfourxn     

8、     xtothenth/xtothepowernx−n          xtothe(power)minusnx          (square)rootx/thesquarerootofxx3          cuberoot(of)xx4          fourthroot(of)xxn          nthroot(of)x(x+y)2          xplusyallsquared(xy)2          xoveryallsquaredn!         

9、 nfactorialx^          xhatx¯          xbarx˜          xtildexi          xi/xsubscripti/xsuffixi/xsubi∑i=1nai          thesumfromiequalsonetonai/thesumasirunsfrom1tonoftheai4.Linearalgebra          ‖x‖          thenorm(ormodulus)ofxOA→          OA/ve

10、ctorOAOA¯          OA/thelengthofthesegmentOAAT          Atranspose/thetransposeofAA−1          Ainverse/theinverseofA5.Functions          f(x)          fx/fofx/thefunctionfofxf:S→T          afunctionffromStoTx→y          xmapstoy/xissent(ormapped)to