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Integer and mixed-integer programming models: General properties
Journal of Optimization Theory and Applications, 1975It is well known that mixed-integer formulations can be used tomodel important classes of nonconvex functions, such as fixed-charge functions and linear economy-of-scale cost functions. The purpose of this paper is to formulate a rigorous definition of a mixed-integer model of a given function and to study the properties of the functions that can be so
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Generating guitar solos by integer programming
Journal of the Operational Research Society, 2017In this paper, we present a framework for computer-aided composition (CAC) that uses exact combinatorial optimisation methods to generate guitar solos from a newly proposed data-set of licks over a...
Nailson dos Santos Cunha +2 more
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Integer loop code generation for VLIW
1996Code generation for complex integer loops within the context of a VLIW architecture, has to date, been handled by several disparate methodologies. We provide an empirical study to characterize what a typical complex integer loop is and propose a general solution that optimally modifies the key control dependencies in common integer loops.
James Radigan +2 more
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A general character to integer conversion method
Software: Practice and Experience, 1985AbstractMost programs which involve character to integer conversion fail to detect integer overflow correctly. This paper describes some of the pitfalls of not recognizing overflow, and presents a correct method for doing so in an arbitrary base for any precision.
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Consecutive generalized r-free integers in Beatty sequences
Boletin De La Sociedad Matematica Mexicana, 2023Teerapat Srichan
exaly
Generalized Universal Coding of Integers
IEEE Transactions on CommunicationsWei Yan 0014, Yunghsiang S. Han
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Multiplicative functions supported on the k-free integers with small partial sums
Ramanujan Journal, 2022Marco Aymone
exaly

