Results 231 to 240 of about 258,537 (280)

A multi-level annotated sensor dataset of gait freezing manifestations and severity in Parkinson's disease. [PDF]

Sci Data
Borzì L, Demrozi F, Bacchin RA, Turetta C, Tebaldi M, Sigcha L, Zolfaghari S, Rinaldi D, Fazzina G, Balestro G, Picelli A, Pravadelli G, Olmo G, Tamburin S, Lopiano L, Artusi CA.   +15 more
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Generating integer polynomials using function composition

, 2017
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Flexible Release Composition using Integer Linear Programming

, 2004
van den Akker, J.M., Brinkkemper, S., Diepen, G., Versendaal, J.M.   +3 more
openaire   +1 more source

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Some Inplace Identities for Integer Compositions

Quaestiones Mathematicae, 2015
In this paper, we give two new identities for compositions, or ordered partitions, of integers. These two identities are based on closely-related integer partition functions which have recently been studied. Thanks to the structure inherent in integer compositions, we are also able to extensively generalize both of these identities.
Munagi, A.O., Sellers, J.A.
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Compositions of Positive Integers

The Mathematics Teacher, 1991
During the summer of 1988, the first author conducted an institute on discrete mathematics for sixteen New Mexico high school teachers. One of the presented topics, compositions of integers, proved to be a fruitful source of interesting problems.
Richard M. Grassl, Karen Anne Johnson, Rachel Vickrey   +2 more
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Counting staircases in integer compositions

Online Journal of Analytic Combinatorics, 2016
The main theorem establishes the generating function \(F\) which counts the number of times the staircase \(1 + 2 + 3 + \cdots + m^+\) fits inside an integer composition of \(n\). \[ F = \frac{k_m - \frac{q x^m y}{1-x} k_{m-1}}{(1-q)x^{\binom{m+1}{2}} \left( \frac{y}{1-x} \right)^m + \frac{1-x-xy}{1-x} \left( k_m - \frac{q x^m y}{1-x} k_{m-1} \right)}.
Blecher, Aubrey, Mansour, Toufik
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Inversions in compositions of integers

Quaestiones Mathematicae, 2011
Click on the link to view the abstract.Quaestiones Mathematicae 34(2011), 187-202.
Heubach, S, Knopfmacher, A, Mays, ME, Munagi, A   +3 more
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Integers are only Primes and Composites

2023
Abstract: This study establishes that integers can exclusively fall into the categories of prime or composite numbers. The rationale behind this arises from the imperative inclusion of (I) negative prime numbers, (II) the acknowledgment of 1 and -1 as prime numbers, and (III) the incorporation of 0 as a composite number within finite and infinite ...
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On cyclic compositions of positive integers

Aequationes mathematicae, 2011
Say that two compositions of n into k parts are related if they differ only by a cyclic shift. This defines an equivalence relation on the set of such compositions. Let \({\left\langle \begin{array}{c}n \\ k\end{array} \right\rangle}\) denote the number of distinct corresponding equivalence classes, that is, the number of cyclic compositions of n into ...
Arnold Knopfmacher, Florian Luca, Neville Robbins   +2 more
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