Results 11 to 20 of about 660,683 (355)
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
doaj +1 more source
A Topological View of Reed–Solomon Codes
Mathematics, 2021 We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve.
Alberto Besana, Cristina Martínez
doaj +1 more source
Graph partitions and cluster synchronization in networks of oscillators [PDF]
Chaos, 2016 Synchronization over networks depends strongly on the structure of the coupling between the oscillators. When the coupling presents certain regularities, the dynamics can be coarse-grained into clusters by means of External Equitable Partitions of the ...
Michael T. Schaub +5 more
semanticscholar +1 more source
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
doaj +1 more source
From Symmetric Functions to Partition Identities
Axioms, 2023 In this paper, we show that some classical results from q-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions.
Mircea Merca
doaj +1 more source
Seiberg-Witten theory and random partitions [PDF]
, 2003 We study \( \mathcal{N} = 2 \) supersymmetric four-dimensional gauge theories, in a certain 525-02 = 2 supergravity background, called theΩ-background. The partition function of the theory in the Ω-background can be calculated explicitly.
N. Nekrasov, A. Okounkov
semanticscholar +1 more source
Post-Processing Partitions to Identify Domains of Modularity Optimization [PDF]
Algorithms, 2017 We introduce the Convex Hull of Admissible Modularity Partitions (CHAMP) algorithm to prune and prioritize different network community structures identified across multiple runs of possibly various computational heuristics.
W. Weir +4 more
semanticscholar +1 more source
Fire resistance testing of aluminum-glass partitions [PDF]
Archives of Civil Engineering, 2022 Glass-aluminum building facades, as well as glazed walls intended to construct internal partitions of various types with glass doors, the purpose of which is to create fire zones, must satisfy certain fire resistance requirements stated in the codes. The
Marian Gwóźdź +2 more
doaj +1 more source
Core partitions into distinct parts and an analog of Euler's theorem [PDF]
European journal of combinatorics (Print), 2016 A special case of an elegant result due to Anderson proves that the number of $(s,s+1)$-core partitions is finite and is given by the Catalan number $C_s$.
A. Straub
semanticscholar +1 more source
The mathematics of lecture hall partitions [PDF]
Journal of Combinatorial Theory, 2016 Over the past twenty years, lecture hall partitions have emerged as fundamental combinatorial structures, leading to new generalizations and interpretations of classical theorems and new results.
C. Savage
semanticscholar +1 more source