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  2. Master theorem (analysis of algorithms) - Wikipedia

    en.wikipedia.org/wiki/Master_theorem_(analysis...

    Sections 4.3 (The master method) and 4.4 (Proof of the master theorem), pp. 73–90. Michael T. Goodrich and Roberto Tamassia. Algorithm Design: Foundation, Analysis, and Internet Examples. Wiley, 2002. ISBN 0-471-38365-1. The master theorem (including the version of Case 2 included here, which is stronger than the one from CLRS) is on pp. 268 ...

  3. Master theorem - Wikipedia

    en.wikipedia.org/wiki/Master_theorem

    In mathematics, a theorem that covers a variety of cases is sometimes called a master theorem. Some theorems called master theorems in their fields include: Master theorem (analysis of algorithms), analyzing the asymptotic behavior of divide-and-conquer algorithms; Ramanujan's master theorem, providing an analytic expression for the Mellin ...

  4. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Mason–Stothers theorem (polynomials) Master theorem (analysis of algorithms) (recurrence relations, asymptotic analysis) Maschke's theorem (group representations) Matiyasevich's theorem (mathematical logic) Max flow min cut theorem (graph theory) Max Noether's theorem (algebraic geometry) Maximal ergodic theorem (ergodic theory)

  5. Akra–Bazzi method - Wikipedia

    en.wikipedia.org/wiki/Akra–Bazzi_method

    In computer science, the Akra–Bazzi method, or Akra–Bazzi theorem, is used to analyze the asymptotic behavior of the mathematical recurrences that appear in the analysis of divide and conquer algorithms where the sub-problems have substantially different sizes.

  6. Analysis of parallel algorithms - Wikipedia

    en.wikipedia.org/wiki/Analysis_of_parallel...

    Work law. The cost is always at least the work: pT p ≥ T 1. This follows from the fact that p processors can perform at most p operations in parallel. [6] [9] Span law. A finite number p of processors cannot outperform an infinite number, so that T p ≥ T ∞. [9] Using these definitions and laws, the following measures of performance can be ...

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  8. MacMahon's master theorem - Wikipedia

    en.wikipedia.org/wiki/MacMahon's_Master_theorem

    D. Foata and G.-N. Han, A new proof of the Garoufalidis-Lê-Zeilberger Quantum MacMahon Master Theorem, Journal of Algebra 307 (2007), no. 1, 424–431 . D. Foata and G.-N. Han, Specializations and extensions of the quantum MacMahon Master Theorem, Linear Algebra and its Applications 423 (2007), no. 2–3, 445–455 .

  9. Ramanujan's master theorem - Wikipedia

    en.wikipedia.org/wiki/Ramanujan's_master_theorem

    In mathematics, Ramanujan's master theorem, named after Srinivasa Ramanujan, [1] is a technique that provides an analytic expression for the Mellin transform of an analytic function. Page from Ramanujan's notebook stating his Master theorem.