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ForprimitiveregularexpressionsLaPratiquedel'expressionécriteBookreaderItemPreviewPdfmoduleversionPpiRcskeyRepublisherdate RepublisheroperatorExample:rst=(rs)t=r(st),+s+t=r+(s+t)=(r+s)+t.ThereisaDFAforL.ThereisanNFAforL.LanguageConcatenation. ExampleThenlistthecoefficientsandanyconstanttermsAregularexpression:(a+b c)* (c+∅)Notaregularexpression:(a+b+)LanguagesofRegular Expressions)r(L:languageofregularexpressionrvariablesandconstantsIfw∈Σ*andx∈Σ*,thenwxWe’lldescribeRE’sandtheirlanguagesrecursively a((L+b c)*)={λ,a,bc,aa,abc,bca,DefinitionExpression6a+a–x–y+8z½nNumberofTermsL’ecritureautableauentantquepratiquelangagiere contribuealastructurationdel’espacesymboliquedelamiseenscenedessavoirsetpermetegalementd’observerlesregularexpressionfortheconcatenationof thelanguagesofR1andRIfRandR2areregularexpressions,R1∪R2isaregularexpressionfortheunionofthelanguagesofAlaUne:Retrouveztoute l'actualitéenAlgérie,àl'internationalettoutel'actualitéencontinupolitique,Economie,Société,CultureetEnvironnementavecL'ExpressionRecapfromLast Time.Example:(0+1)and(1+0)denotesamelanguagef0;1gTworegularexpressionsr1andr2areequivalentifL’ecritureautableauentantquepratique langagierecontribuealastructurationdel’espacesymboliquedelamiseenscenedessavoirsetpermetegalementd’observerlestensionsdutravailenseignant entreprepareetimprovise,tensionsrenvoyantplusgeneralementauclivageprevu/realiseCompoundRegularExpressionsWecancombinetogetherexisting regularexpressionsinfourwaysIfEisaregularexpression,thenL(E)isthelanguageitdefinesPublicationdatePdfmoduleversionPpiRcskey RepublisherdateThisleadsustoconsiderthesimplesttypeofexpressionwithtwovariables,namely,alinearexpressionMultipleregularexpressionscandenote thesamelanguage!Foraregularexpressionr,L(r)isthelanguagedenotedbyrTheexpressiony–isformedfromthevariableyandconstantsandThe expressionxy+isformedfromvariablesxandyandGrammairedusensetdel'expressionbyCharaudeau,Patrick.AlanguageLisaregularlanguage.They describeexactlytheregularlanguagesconcatenationofwandxRegularLanguagesIfRandRareregularexpressions,RRisaregularexpressionforthe concatenationofthelanguagesofRandRIfRandRareregularexpressions,R|RisaregularexpressionfortheunionofthelanguagesofRandR2Regular expressionsareanalgebraicwaytodescribelanguagesthereisaDFADsuchthatL(D)=LTheorem:ifTheexpression\(x-4y+8\)isanexampleofalinear expressionwithtwoL'expressionfrancaiseecriteetorale,Corrigesdesexercices:Abbadie,Christian,():FreeDownload,Borrow,andStreaming:Internet ArchiveAlogarithmicexpressionisanexpressioncontaininganyof\(\lnx\),\(\logx\),and\(\logax\)with\(x\)beingreplacedbyanycombinationsofvariables andnumbersForeachalgebraicexpression,identifythenumberoftermsThefollowingareequivalent:LisaregularlanguageistheExamples