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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 ...
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.
Shannon–Weaver model of communication [86] The Shannon–Weaver model is another early and influential model of communication. [10] [32] [87] It is a linear transmission model that was published in 1948 and describes communication as the interaction of five basic components: a source, a transmitter, a channel, a receiver, and a destination.
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 ...
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)
The Shannon–Weaver model is one of the earliest models of communication. [2] [3] [4] It was initially published by Claude Shannon in his 1948 paper "A Mathematical Theory of Communication". [5] The model was further developed together with Warren Weaver in their co-authored 1949 book The Mathematical Theory of Communication.
[6] Several useful results follow from the definitions of work, span and cost: 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]
Decoding has both verbal and non-verbal forms of communication: Decoding behavior without using words, such as displays of non-verbal communication. There are many examples, including observing body language and its associated emotions, e.g. monitoring signs when someone is upset, angry, or stressed where they use excessive hand/arm movements ...