Results 41 to 50 of about 17,966 (292)
Formulating First Species Counterpoint With Integer Programming [PDF]
, 2022 Counterpoint is a theory for composing western polyphonic music. It consists of many rules that regulate melodic and harmonic relationships within each voice or between voices.
Tsubasa Tanaka
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Record statistics in integer compositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 A $\textit{composition}$ $\sigma =a_1 a_2 \ldots a_m$ of $n$ is an ordered collection of positive integers whose sum is $n$. An element $a_i$ in $\sigma$ is a strong (weak) $\textit{record}$ if $a_i> a_j (a_i \geq a_j)$ for all $j=1,2,\ldots,i-1$. Furthermore, the position of this record is $i$. We derive generating functions for the total number of
Knopfmacher, Arnold, Mansour, Toufik
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Iteration of Composition Operators on small Bergman spaces of Dirichlet series
Concrete Operators, 2018 The Hilbert spaces ℋw consisiting of Dirichlet series F(s)=∑n=1∞ann-s$F(s) = \sum\nolimits_{n = 1}^\infty {{a_n}{n^{ - s}}}$ that satisfty ∑n=1∞|an|2/wn 0 and {wn}n having average order (logj+n)α${(\log _j^ + n)^\alpha }$, that the composition operators ...
Zhao Jing
doaj +1 more source
An Integrated Approach for Facility Location and Supply Vessel Planning with Time Windows [PDF]
Journal of Optimization in Industrial Engineering, 2019 This paper presents a new model of two-echelon periodic supply vessel planning problem with time windows mix of facility location (PSVPTWMFL-2E) in an offshore oil and gas industry.
Mohsen Amiri +3 more
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Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source
Binary positive semidefinite matrices and associated integer polytopes [PDF]
, 2010 We consider the positive semidefinite (psd) matrices with binary entries, along with the corresponding integer polytopes.We begin by establishing some basic properties of these matrices and polytopes.
Sorensen, M M +3 more
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Self-Commutators of Composition Operators with Monomial Symbols on the Dirichlet Space
Abstract and Applied Analysis, 2011 Let 𝜑(𝑧)=𝑧𝑛,𝑧∈𝕌, for some positive integer 𝑛 and 𝐶𝜑 the composition operator on the Dirichlet space 𝒟 induced by 𝜑. In this paper, we completely determine the point spectrum, spectrum, essential spectrum, and essential norm of the operators 𝐶∗𝜑𝐶𝜑,𝐶𝜑𝐶∗𝜑 ...
A. Abdollahi, S. Mehrangiz
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A Game-Theoretic Analysis of Baccara Chemin de Fer
Games, 2013 Assuming that cards are dealt with replacement from a single deck and that each of Player and Banker sees the total of his own two-card hand but not its composition, baccara is a 2 x 288 matrix game, which was solved by Kemeny and Snell in 1957. Assuming
Stewart N. Ethier, Carlos Gámez
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Partition and composition matrices: two matrix analogues of set partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 This paper introduces two matrix analogues for set partitions; partition and composition matrices. These two analogues are the natural result of lifting the mapping between ascent sequences and integer matrices given in Dukes & Parviainen (2010).
Anders Claesson +2 more
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