数学符号英语翻译.docx

数学符号英语翻译

第一篇：数学符号英语翻译1.Logic∃∀thereexistforallp⇒qpimpliesq/ifp,thenqp⇔qpifandonlyifq/pisequivalenttoq/pandqareequivalent2.Sets集合x∈AxbelongstoA/xisanelement(oramember)ofAx∉AxdoesnotbelongtoA/xisnotanelement(oramember)ofAA⊂BAiscontainedinB/AisasubsetofBA⊃BAcontainsB/BisasubsetofAA∩BAcapB/AmeetB/AintersectionBA∪BAcupB/AjoinB/AunionBABAminusB/thediferencebetweenAandBA×BAcrossB/thecartesianproductofAandB3.Realnumbersx+1x-1x±1xyxplusonexminusonexplusorminusonexy/xmultipliedbyyxminusy,xplusy(x-y)(x+y)=x=5x≠5theequalssignxequals5/xisequalto5x(is)notequalto5x≡yxisequivalentto(oridenticalwith)yx>yx≥yxxisgreaterthanorequaltoyxislessthanyx≤yxislessthanorequaltoyzeroislessthanxislessthan1zeroislessthanorequaltoxislessthanorequalto10xsquared/x(raised)tothepower2xcubedxtothefourth/xtothepower4xtothenth/xtothepowernxtothe(power)minusn(square)rootx/thesquarerootofxcuberoot(of)xfourthroot(of)xnthroot(of)xx的三次根x的四次根x的n次根(x+y)2xplusyallsquaredn!x^x¯x˜xinfactorialxhatxbarxtildexi/xsubscripti/xsuffixi/xsubi∑(i=1~n)aithesumfromiequalsonetonai/thesumasirunsfrom1tonoftheai4.Linearalgebra‖x‖thenorm(ormodulus)ofxOA→OA/vectorOA这里应该是写在字母上的一短杠OA¯OA/thelengthofthesegmentOA同上，长杠ATA−1Atranspose/thetransposeofAAinverse/theinverseofA5.Functionsf(x)fx/fofx/thefunctionfofxf:S→TafunctionffromStoTx→yxmapstoy/xissent(ormapped)toyf’(x)fprimex/fdashx/the(first)derivativeoffwithrespecttoxf”(x)fdouble-primex/fdouble-dashx/thesecondderivativeoffwithrespecttoxf”’(x)triple-primex/ftriple-dashx/thethirdderivativeoffwithrespecttoxf(4)(x)ffourx/thefourthderivativeoffwithrespecttox4应该是上角标∂f/∂x1thepartial(derivative)offwithrespecttox1∂2f/∂x12∫0∞thesecondpartial(derivative)offwithrespecttox1theintegralfromzerotoinfinitylimx→0thelimitasxapproacheszerolimx→0+thelimitasxapproacheszerofromabovelimx→0−thelimitasxapproacheszerofrombelowlogeylogytothebasee/logtothebaseeofy/naturallog(of)ylnylogytothebasee/logtothebaseeofy/naturallog(of)y第二篇：数学符号集锦数学符号集锦已知函数f（x）=1/2x2-(2a+2)x+(2a+1)lnx，对任意的a∈（3/2,5/2）,已知o是锐角ΔABC的外接圆的圆心，且已知存在