Transcription of Reading Mathematical Expressions
1 Universit e Louis Pasteur - Strasbourg IUFR Maths-InfoAnglais Scientifique 2006-2007 LicenceReading Mathematical Expressions (A. Oancea, S. Maillot, C. Mitschi)Note:Some groups of letters are underlined in order to draw one s at-tention to their +baplusba baminusba bab,atimesbab,a/baoverb,adivided byb12,13,14, ..,110one half, one third, one fourth, .. , one tenth52,23, ..,710five halves, two thirds, .. , seven tenthsa=baequalsb,ais equal toba =badifferent fromb,anot equal toba<ba(strictly) less thanba baless than or equal toba>ba(strictly) bigger thanb,agreater thanba bagreater than or equal tobPowers and rootsabato theb,ato theb-th (power) [ifbis a positive integer]x2xsquaredx3xcubedx 1xinversen tn-th root oft tsquare root oft3 tcubic root oft1 Sets (the) empty setA BAunionBA BAintersected withBActhe complement ofAA\BAminusBA BAtimesBx AxinA,xbelongs toA,xbelonging toAMiscellaneous5%five percent30 thirty degreesxkxkxjixij[ifjis an index, not an exponent!] nk=1k2sumkequals 1 tonofk2,sum fork(running) from 1 tonofk2,summationkfrom 1 tonofk2 nk=12k+12k+2productkequals 1 tonof 2k+ 1 over 2k+2product fork(running) from 1 tonof 2k+ 1 over 2k+2n!
2 Nfactorialpartie enti`ere dexinteger part ofx|x|absolute value ofx(ifxis a real number)|z|modulus ofz(ifzis a complex number)Re(z), Im(z)real part ofz, imaginary part ofz x norm ofx v, w scalar product ofvandwcos sin tan sine/sinus tangent etc. eta [ ta] theta [th ta] xi[ks ai] pi[p ai] sigma [z gma] chi[k ai] psi[s ai]R2,R3,RnR2,R3,Rn(blablabla) (blbl)blablabla, the whole timesblblblablablablblblablabla, the whole divided byblblx1,.. ,xnx1up toxn2 Calculusf fprime,fdashedddxdbydxdfdx, f xdfbydx xfdxf, partial derivative offwith respect tox baf(s)dsintegral fromatob(of)f(s)ds D, Ddouble integral, triple integral over the domainD plus/minus infinitylimx af(x)(the) limit off(x)asxtends/goes toa,(the) limit offofxasxtends/goes toalog(x), logaxlogarithmofx, logarithm in baseaofxexp(x),exexponential ofx,eto thexFunctionsf:U VffromUtoVf(x)fofxx f(x)xmaps tof(x)of classCkof classCkof classC of classCinfinitythe Lebesgue spacesLp,L the Lebesgue spacesLp,Linfinitythe Sobolev spacesHk,Wk,pthe S obolev spacesHk,Wkp3
