132 research outputs found
A method for stress concentration factor determination of welded steel bridge T-joints under moving load
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Numerical prediction of mechanical behavior of single walled carbon nanotube/rubber composites
No full textDISCRETEPLANES,Z2-ACTIONS,JACOBI-PERRONALGORITHMAND Abstract.Weintroducetwo-dimensionalsubstitutionsgeneratingtwo-dimensionalsequencesrelatedtodiscreteapproximationsofirrationalplanes.Thesetwo-dimensionalsubstitutionsare producedbytheclassicalJacobi-Perro
No full textthecoordinatesoftheunitvectororthogonaltothegivenplane;thisalgorithmproducesasequence ofgeneralizedsubstitutions,whichcanbeinterpretedasactingontwo-dimensionalsequences,cre- steppedsurface. atingarbitrarilylargepartsofthesymbolicsequenceassociatedwiththeplane.Thesegeneralized substitutionsaredeeplyconnectedtothehigher-dimensionalextensionsofsubstitutionsintroduced in[24,25,3,5],whichactonunittips(facesofunitcubeswithintegervertices),generatingthe waythislinebyabrokenlinemadeofhorizontalandverticalsegmentswithintegervertices(this iswhatisdone,forexample,torepresentsuchalineonacomputerscreen[7]). usualcontinuedfractions.Letusrstrecallshortlytheframeworkoftheusualcontinuedfractions, anditsinterpretationintermsofdynamicsofrotations,Sturmiansequencesandapproximationof irrationallines;wewillbemorepreciseintherstsection. Consideralinewithpositiveirrationaldirectionay=bx.Onecanapproximateinanobvious Onecanrepresentthislinebyasymbolicsequencewithvaluesinthealphabetf0;1g.These Thispapergrewoutofanattempttogeneralizetohigherdimensionswell-knownresultsfo
Ayman Shihadeh, Doubts on Avicenna: A Study and Edition of Sharaf al-Dīn al-Masʿūdī’s Commentary on the Ishārāt
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