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[null,"1.","Record Nr.",null,"UNINA9910151934203321"]
[null,null,"Autore",null,"Novak Erich"]
[null,null,"Titolo",null,"Tractability of Multivariate Problems [[electronic resource] ] : Volume I: Linear Information / / Erich Novak, Henryk Woźniakowski"]
[null,null,"Pubbl/distr/stampa",null,"Zuerich, Switzerland, : European Mathematical Society Publishing House, 2008"]
[null,null,"ISBN",null,"3-03719-526-6"]
[null,null,"Descrizione fisica",null,"1 online resource (395 pages)"]
[null,null,"Collana",null,"EMS Tracts in Mathematics (ETM) ; 6"]
[null,null,"Classificazione",null,"65-xx68-xx"]
[null,null,"Soggetti",null,"Numerical analysis"]
[{"$nulls":4},"Mathematical theory of computation"]
[{"$nulls":4},"Computer science"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Sommario/riassunto","Multivariate problems occur in many applications.   These problems are defined on spaces of d-variate functions and   d can be huge - in the hundreds or even in the thousands.   Some high-dimensional problems can be solved efficiently to within ε,   i.e., the cost increases polynomially in ε−1 and d.   However, there are many multivariate problems   for which even the minimal cost increases exponentially in d.   This exponential dependence on d is called   intractability or the curse of dimensionality.     This is the first of a three-volume set comprising a comprehensive study of the   tractability of multivariate problems.   It is devoted to algorithms using   linear information consisting of arbitrary linear functionals.   The theory for multivariate problems is developed   in various settings: worst case, average case, randomized and   probabilistic. A problem is tractable if its minimal cost is not   exponential in ε−1 and d. There are various notions of   tractability,   depending on how we measure the lack of exponential dependence.   For example, a problem is polynomially tractable if its minimal cost is   polynomial in ε−1 and d. The study of tractability was   initiated about 15 years ago. This is the first research   monograph on this subject.     Many multivariate problems suffer from the curse of dimensionality   when they are defined over classical (unweighted) spaces.   But many   practically important problems are solved today for huge d in a   reasonable time. One of the most intriguing challenges of "]
[{"$nulls":4},"theory is to   understand why this is possible. Multivariate problems may become tractable   if they are defined over weighted spaces with properly   decaying weights. In this case, all variables and groups of variables   are moderated by weights. The main purpose of this book is to study weighted spaces   and to obtain conditions on the weights that are necessary and sufficient   to achieve various notions of tractability.     The book is of interes..."]
[null,"2.","Record Nr.",null,"UNISA996385574303316"]
[null,null,"Autore",null,"Manby Peter <d. 1697.>"]
[null,null,"Titolo",null,"The considerations which oblig'd Peter Manby dean of London-dery, to embrace the Roman Catholic religion [[electronic resource] ] : humbly dedicated to His Grace the Lord Primate of Ireland"]
[null,null,"Pubbl/distr/stampa",null,"London, : Re-printed for Nath. Thompson ..., 1687"]
[null,null,"Descrizione fisica",null,"[8], 15 p"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Reproduction of original in Huntington Library."]
[null,null,null,"Sommario/riassunto","eebo-0113"]