数学符号和公式的英语读法资料下载.pdf
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数学符号和公式的英语读法资料下载.pdf
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17.2.1999/H.ValiahoPronunciationofmathematicalexpressionsThepronunciationsofthemostcommonmathematicalexpressionsaregiveninthelistbelow.Ingeneral,theshortestversionsarepreferred(unlessgreaterprecisionisnecessary).1.Logicthereexistsforallpqpimpliesq/ifp,thenqpqpifandonlyifq/pisequivalenttoq/pandqareequivalent2.SetsxAxbelongstoA/xisanelement(oramember)ofAx/AxdoesnotbelongtoA/xisnotanelement(oramember)ofAABAiscontainedinB/AisasubsetofBABAcontainsB/BisasubsetofAABAcapB/AmeetB/AintersectionBABAcupB/AjoinB/AunionBABAminusB/thedifferencebetweenAandBABAcrossB/thecartesianproductofAandB3.Realnumbersx+1xplusonex1xminusonex1xplusorminusonexyxy/xmultipliedbyy(xy)(x+y)xminusy,xplusyxyxovery=theequalssignx=5xequals5/xisequalto5x6=5x(is)notequalto51xyxisequivalentto(oridenticalwith)yx6yxisnotequivalentto(oridenticalwith)yxyxisgreaterthanyxyxisgreaterthanorequaltoyxyxislessthanyxyxislessthanorequaltoy0x1zeroislessthanxislessthan10x1zeroislessthanorequaltoxislessthanorequalto1|x|modx/modulusxx2xsquared/x(raised)tothepower2x3xcubedx4xtothefourth/xtothepowerfourxnxtothenth/xtothepowernxnxtothe(power)minusnx(square)rootx/thesquarerootofx3xcuberoot(of)x4xfourthroot(of)xnxnthroot(of)x(x+y)2xplusyallsquaredxy2xoveryallsquaredn!
@#@nfactorialxxhatxxbarxxtildexixi/xsubscripti/xsuffixi/xsubinXi=1aithesumfromiequalsonetonai/thesumasirunsfrom1tonoftheai4.Linearalgebrakxkthenorm(ormodulus)ofxOAOA/vectorOAOAOA/thelengthofthesegmentOAATAtranspose/thetransposeofAA1Ainverse/theinverseofA25.Functionsf(x)fx/fofx/thefunctionfofxf:
@#@STafunctionffromStoTx7yxmapstoy/xissent(ormapped)toyf0(x)fprimex/fdashx/the(first)derivativeoffwithrespecttoxf00(x)fdoubleprimex/fdoubledashx/thesecondderivativeoffwithrespecttoxf000(x)ftripleprimex/ftripledashx/thethirdderivativeoffwithrespecttoxf(4)(x)ffourx/thefourthderivativeoffwithrespecttoxfx1thepartial(derivative)offwithrespecttox12fx21thesecondpartial(derivative)offwithrespecttox1Z0theintegralfromzerotoinfinitylimx0thelimitasxapproacheszerolimx+0thelimitasxapproacheszerofromabovelimx0thelimitasxapproacheszerofrombelowlogeylogytothebasee/logtothebaseeofy/naturallog(of)ylnylogytothebasee/logtothebaseeofy/naturallog(of)yIndividualmathematiciansoftenhavetheirownwayofpronouncingmathematicalexpres-sionsandinmanycasesthereisnogenerallyaccepted“correct”pronunciation.Distinctionsmadeinwritingareoftennotmadeexplicitinspeech;@#@thusthesoundsfxmaybeinterpretedasanyof:
@#@fx,f(x),fx,FX,FX,FX.Thedifferenceisusuallymadeclearbythecontext;@#@itisonlywhenconfusionmayoccur,orwherehe/shewishestoemphasisethepoint,thatthemathematicianwillusethelongerforms:
@#@fmultipliedbyx,thefunctionfofx,fsubscriptx,lineFX,thelengthofthesegmentFX,vectorFX.Similarly,amathematicianisunlikelytomakeanydistinctioninspeech(exceptsometimesadifferenceinintonationorlengthofpauses)betweenpairssuchasthefollowing:
@#@x+(y+z)and(x+y)+zax+bandax+ban1andan1TheprimaryreferencehasbeenDavidHallwithTimBowyer,Nucleus,EnglishforScienceandTechnology,Mathematics,Longman1980.GlenAndersonandMattiVuorinenhavegivengoodcommentsandsupplements.3
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