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A NEW METHOD FOR GENERATING INTEGER COMPOSITIONS IN PARALLEL

Parallel Algorithms and Applications, 1996
A novel method, binary countdown transformation, for generating integer compositions in parallel is proposed. Based on this method, an optimal and highly adaptive parallel algorithm for generating all compositions of integer n is presented. The algorithm runs on p processors on a simple SIMD model requiring neither shared memory nor interconnection ...
Shen, Hong, Evans, D.
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A Unified Approach to Algorithms Generating Unrestricted and Restricted Integer Compositions and Integer Partitions

Journal of Mathematical Modelling and Algorithms, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integer compositions and higher-order conjugation

J. Integer Seq., 2018
Summary: We consider the classical MacMahon conjugation of compositions or ordered partitions of positive integers. Using both algebraic and graphical methods we provide a natural extension of the standard conjugation of a composition to higher orders. The higher-order conjugates of a composition are obtained by varying the increments used in standard ...
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Fibonacci Numbers, Integer Compositions, and Nets of Antiprisms

The American Mathematical Monthly, 2019
All geometrically distinct nets (edge-unfoldings) are explicitly constructed for the infinite family of polyhedra known as uniform antiprisms.
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Runs of composite integers and the Chinese Remainder Theorem

The Mathematical Gazette, 1994
The distribution of the prime numbers is of course a well-trodden path. The casual enquirer, working with small numbers, soon finds that the distribution has no obvious regularities, and sees that the primes thin out. The Prime number theorem (which is not elementary) helps to firm up this ...
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A Web Service Composition Framework Using Integer Programming with Non-functional Objectives and Constraints

Advanced Issues of E-Commerce and Web-Based Information Systems (WECWIS), International Workshop on, 2008
John Jung-Woon Yoo   +2 more
exaly  

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