Results 21 to 30 of about 66,960 (267)
Reconstruction of Partitions [PDF]
The Electronic Journal of Combinatorics, 2005 For the partition $x=[x_1\ge x_2\ge \cdots\ge x_k]$ of the integer $n=\sum_{i}\, x_{i}$ a $t$-deletion is a partition $y=[y_1\ge y_2\ge \cdots\ge y_k]$ with $x_{i}\geq y_{i}\geq 0$ and $\sum_{i}\, (x_{i}-y_{i})=t$. We prove that all partitions of $n$ are reconstructible from their $t$–deletions if $n$ is sufficiently large in relation to $t$.
Pretzel, Oliver, Siemons, Johannes
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A new class of infinite products, and Euler's totient
International Journal of Mathematics and Mathematical Sciences, 1994 We introduce some new infinite products, the simplest being(1−y)∏k=2∞∏j∈ϕk(1−ykqj)1/k=(1−y1−qy)1/(1−q),where ϕk is the set of positive integers less than and relatively prime to k, valid for |y|∧|qy| both less than unity, with q≠1.
Geoffrey B. Campbell
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Real-world applications of number theory [PDF]
ریاضی و جامعهThe above abstract has been extracted by the translator from the original article (J. Klaška, Real-world applications of number theory, South Bohemia Mathematical Letters, 25 no.
Rahim Rahmati-Asghar
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The genesis of the sports clubs movement in Poland
Journal of Education, Health and Sport, 2020 The formation of the first Polish sports associations is not only an important stage in the development of Polish sport, but is also a crucial element of Polish tradition and culture.
Piotr Kędzia
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Ramanujan-type congruences modulo 4 for partitions into distinct parts
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, we consider the partition function Q(n) counting the partitions of n into distinct parts and investigate congruence identities of the form Q(p⋅n+p2-124)≡0 (mod4),Q\left( {p \cdot n + {{{p^2} - 1} \over {24}}} \right) \equiv 0\,\,\,\left(
Merca Mircea
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Introduction to logical entropy and its relationship to Shannon entropy
4 open, 2022 We live in the information age. Claude Shannon, as the father of the information age, gave us a theory of communications that quantified an “amount of information,” but, as he pointed out, “no concept of information itself was defined.” Logical entropy ...
Ellerman David
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Classifiers, partitions, and measurements: Exploring the syntax and semantics of sortal classifiers
Glossa, 2019 In many languages, measure terms like item and kilo, as in two items of furniture and two kilos of rice, can be used either to partition the nominal denotation into countable units, or to measure a denotation without inducing a partition. These two types
Alan Bale, Jessica Coon, Nicholás Arcos
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Discrete Mathematics & Theoretical Computer Science, 2007 Motivated by the study of decipherability conditions for codes weaker than Unique Decipherability (UD), we introduce the notion of coding partition. Such a notion generalizes that of UD code and, for codes that are not UD, allows to recover the ''unique decipherability" at the level of the classes of the partition.
BURDERI, Fabio, RESTIVO, Antonio
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Probes for fault localization in computer networks
Journal of Telecommunications and Information Technology, 2004 Fault localization is a process of isolating faults responsible for the observable malfunctioning of the managed system. This paper reviews some existing approaches of this process and improves one of described techniques - the probing.
Wiesław Traczyk
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Probabilistic Partitive Partitioning (PPP)
CoRR, 2020 Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies can be achieved by reducing the input space if a minimal loss of information can be achieved.
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