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Matematica Discreta: Problema de La Motxilla, Teoria de Conjunts, Codi Lineal, Problema del Viatjant de Comerc, Principi D'Inclusio-Exclusio(Catalan)

Matematica Discreta: Problema de La Motxilla, Teoria de Conjunts, Codi Lineal, Problema del Viatjant de Comerc, Principi D'Inclusio-Exclusio(Catalan)

          
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About the Book

Font: Wikipedia. Pagines: 29. Capitols: Problema de la motxilla, Teoria de conjunts, Codi lineal, Problema del viatjant de comerc, Principi d'inclusio-exclusio, Automat finit, Transductor d'estats finits, Xarxa de Petri, Criteri de Nyquist, Teoria de la informacio, Geometria discreta, Teorema multinomial, Nombre triangular, Problema del guarda del museu, Tern pitagoric, Regla de Pascal, Nombre tetraedric, Conjunt finit, Teorema de Baranyai, Matroide, Nombre pentatopic. Extracte: El problema de la motxilla, altrament dit KP (en angles, Knapsack Problem) es un problema d'optimitzacio combinatoria. Modelitza una situacio analoga al fet d'omplir una motxilla, en la que no es pot posar mes d'un cert pes, amb tot o una part d'un conjunt d'objectes. Aquests objectes tenen un pes i un valor determinat. Els objectes que es posen dins la motxilla han de maximitzar el valor total sense sobrepassar el pes maxim. El problema de la motxilla es un dels 21 problemes NP-complets de Richard Karp, exposats en el seu article de 1972. Ha estat estudiat des de meitats del segle XX i es troben referencies des de 1897, en un article de George Ballard Mathews. La formulacio del problema es forca senzilla, pero la seva solucio es mes complexa. Els algoritmes existents poden resoldre casos concrets pero l'estructura singular del problema i el fet que es un sub-problema d'altres problemes mes generals, fan que actualment encara sigui estudiat per diferents grups de recerca cientifica. Aquest problema es l'origen del primer algoritme de criptografia assimetrica (o de clau publica) presentat per Martin Hellman, Ralph Merkle i Whitfield Diffie a la Universitat de Stanford el 1976. De totes maneres, encara que la idea es deguda al problema de la motxilla, RSA es considerat com el veritable algoritme de xifratge assimetric. La versio NP-dificil d'aquest problema ha estat utilitzat en algunes primitives i alguns protocols de criptografia, com el criptosistema de Merkle-Hellman o el criptosistema...


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Product Details
  • ISBN-13: 9781232740278
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 30
  • Series Title: Catalan
  • Sub Title: Problema de La Motxilla, Teoria de Conjunts, Codi Lineal, Problema del Viatjant de Comerc, Principi D'Inclusio-Exclusio
  • Width: 189 mm
  • ISBN-10: 1232740276
  • Publisher Date: 04 Aug 2011
  • Binding: Paperback
  • Language: Catalan
  • Returnable: N
  • Spine Width: 2 mm
  • Weight: 73 gr


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