常用的數(shù)學英語表述

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1、常用的數(shù)學英語表述????來源：李駿的II志1丄ogic3thereexistVforallp=>qpimpliesq/ifp,thenqpoqpifandonlyifq/pisequivalenttoq/pandqareequivalent2.SetsxeAxbelongstoA/xisanelement(oramember)ofAx毎AxdoesnotbelongtoA/xisnotanelement(oramember)ofAACBAiscontainedinB/AisasubsetofBADB

2、AcontainsB/BisasubsetofAAABAcapB/AmeetB/AintersectionBAUBAcupB/AjoinB/AunionBABAminusB/thedifereneebetweenAandBAxBAcrossB/thecartesianproductofAandB3.Realnumbersx+1xplusonex-1xminusonex±lxplusorminusonexyxy/xmultipliedbyy(x-y)(x+y)xminusy,xplusyxoveryt

3、heequalssignx=5xequals5/xisequalto5x*5x(is)notequalto5x=yxisequivalentto(oridenticalwith)yxisgreaterthanyx>yx=yxisnotequivalentto(oridenticalwith)yxisgreaterthanorequaltoyxislessthanyx

4、thanorequaltoxislessthanorequalto1

5、x

6、modx/modulusxx2xsquared/x(raised)tothepower2x3xcubedx4xtothefourth/xtothepowerfourxnxtothenth/xtothepowernx-nxtothe(power)minusnx(square)rootx/thesquarerootofxx3cuberoot(of)xx4fourthroot(of)xxnnthroot(of)x(x+y)2xplus

7、yallsquared(xy)2xoveryallsquaredn!nfactorialxAxhatx-xbarxxtildexixi/xsubscripti/xsuffixi/xsubiIi=1naithesumfromiequalsonetonai/thesumasi「unsfrom1tonoftheai3.LinearalgebraIIxIIthenorm(ormodulus)ofxOAOA/vectorOAOA一OA/thelengthofthesegmentOAATAtranspose/th

8、etransposeofAA-1Ainverse/theinverseofA4.Functionsf(x)fx/fofx/thefunctionfofxf:S—TafunctionffromStoTx—yxmapstoy/xissent(ormapped)toyf(x)fprimex/fdashx/the(first)derivativeoffwithrespecttoxf'(x)fdouble-primex/fdouble-dashx/thesecondderivativeoffwithrespec

9、ttoxfu,(X)f(4)(X)df8x1triple-primex/ftriple-dashx/thethirdderivativeoffwithrespecttoxffourx/thefourthderivativeoffwithrespecttoxthepartial(derivative)offwithrespecttoxl82fdx12thesecondpartial(derivative)offwithrespecttoxlJ0ootheintegralfromzerotoinfinit

10、ylimx—0thelimitasxapproacheszerolimX—0+thelimitasxapproacheszerofromabovelimx—0—thelimitasxapproacheszerofrombelowlogeylogytothebasee/logtothebaseeofy/naturallog(of)yInylogytothebasee/logtothebaseeofy/naturallog(of)y一般詞匯數(shù)學mathema