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Home > Art, Film & Photography > Matematisk Analyse: Funktionalanalyse, Cauchyfolge, Differentialregning, LP, Eulers Formel, Integralregning, L'Hopitals Regel, Funktionsanalyse
Matematisk Analyse: Funktionalanalyse, Cauchyfolge, Differentialregning, LP, Eulers Formel, Integralregning, L'Hopitals Regel, Funktionsanalyse

Matematisk Analyse: Funktionalanalyse, Cauchyfolge, Differentialregning, LP, Eulers Formel, Integralregning, L'Hopitals Regel, Funktionsanalyse


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About the Book

Kilde: Wikipedia. Sider: 24. Kapitler: Funktionalanalyse, Cauchyfolge, Differentialregning, Lp, Eulers formel, Integralregning, L'Hopitals regel, Funktionsanalyse, Sigma-algebra, Fourierraekke, Simpsons regel, Harmonisk raekke, Infinitesimalregning, Potensraekke, Geometrisk raekke, Middelvaerdisaetningen, Fuldstaendigt metrisk rum, Taylorpolynomium, Holders ulighed, Infinitesimalregningens hovedsaetning, Liouvilles saetning, Abels saetning, De Moivres formel, Kaedebrok, Undertal, Hellinger-Toeplitz' saetning, Mellemvaerdisaetningen, Anvendt matematik, Saetningen om lukkede grafer, Cauchys middelvaerdisaetning, Rolles saetning, Bohr-Mollerups saetning, Clairauts saetning, Parsevals identitet, Saddelpunkt. Uddrag: I matematikken er en Cauchyfolge, opkaldt efter Augustin Cauchy, en folge, hvis elementer kommer vilkarligt taet pa hinanden, efterhanden som folgen skrider frem. For at vaere mere praecis er kravet pa en Cauchyfolge, at det, ved at fjerne tilstraekkeligt mange (dog hojst endeligt mange) af folgens forste led, er muligt at gore den maksimale afstand mellem to af de resterende elementer sa lille, som man matte onske det. Denne ide er formaliseret i sproget fra matematisk analyse nedenfor. Anvendeligheden af Cauchyfolger ligger i, at der i definitionen af dem ikke indgar tale om den potentielle graensevaerdi, som folgen kunne taenkes at have. Man restringerer derfor ofte opmaerksomheden til rum, der har den egenskab, at enhver Cauchyfolge er konvergent (et sadant rum kaldes et fuldstaendigt metrisk rum), hvor man da far et konvergenskriterium, der udelukkende afhaenger af leddene i folgen selv. Dette udnyttes ofte i algoritmer, bade teoretiske og anvendte, hvor en iterativ proces kan vises at give anledning til en Cauchyfolge. Begrebet er ikke sa ubekendt, som det umiddelbart fremstar. Den almindelige accept af det faktum, at ethvert reelt tal x har en decimaludvidelse er en implicit erkendelse af, at en bestemt Cauchyfolge af rationale tal (hvis n'te led blo


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Product Details
  • ISBN-13: 9781232238768
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 26
  • Spine Width: 1 mm
  • Weight: 68 gr
  • ISBN-10: 1232238767
  • Publisher Date: 09 Aug 2011
  • Binding: Paperback
  • Language: Danish
  • Returnable: N
  • Sub Title: Funktionalanalyse, Cauchyfolge, Differentialregning, LP, Eulers Formel, Integralregning, L'Hopitals Regel, Funktionsanalyse
  • Width: 189 mm


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