Results 71 to 80 of about 361,091 (296)
On The Intersection of Young's Diagrams Core [PDF]
مجلة التربية والعلم, 1999 : In this paper, we will introduce the method of intersection of -numbers for any partition of a non-negative integer . The results of this intersection are represented and specificated the exactly position according to a "guide value" and a "main ...
Ammar Mahmood
doaj +1 more source
Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
wiley +1 more source
A Generalization of Conjugation of Integer Partitions
The Electronic Journal of CombinatoricsWe exhibit, for any positive integer parameter $s$, an involution on the set of integer partitions of $n$. These involutions show the joint symmetry of the distributions of the following two statistics. The first counts the number of parts of a partition divisible by $s$, whereas the second counts the number of cells in the Ferrers diagram of a ...
Seamus P. Albion +6 more
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Orientation‐Engineered Insulator‐Metal Transition in Vanadium Dioxide
Advanced Science, EarlyView.Crystallographic orientation engineering in VO2/TiO2 heterostructures enables tunable insulator‐metal transitions. The high‐Miller‐index (102) orientation breaks in‐plane mirror symmetry, inducing anisotropic transport, while its inclined oxygen channels accelerate protonation kinetics.
Xuanchi Zhou +4 more
wiley +1 more source
OPEN PROBLEMS AND CONJECTURES ON THE FACTOR IRECIPROCAL PARTITION THEORY [PDF]
, 1996 On an OPEN PROBLEMS AND CONJECTURES ON THE FACTOR IRECIPROCAL PARTITION ...
Murthy, A.
core +1 more source
Advanced Science, EarlyView.An AI‐enabled digital twin framework integrates wearable EMG sensing with hierarchical multi‐domain fusion to classify chronic ankle instability, distinguish clinically relevant subtypes, and generate continuous motor function scores. Clinically interpretable functional stratification and SHAP‐based biomarker analysis provide transparent decision ...
Tianle Jie +12 more
wiley +1 more source
Boltzmann Complexity: An Emergent Property of the Majorization Partial Order
Entropy, 2016 Boltzmann macrostates, which are in 1:1 correspondence with the partitions of integers, are investigated. Integer partitions, unlike entropy, uniquely characterize Boltzmann states, but their use has been limited.
William Seitz, A. D. Kirwan
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Integer Partitions and Binary Trees
Advances in Applied Mathematics, 2002 If \(\alpha\) is the 2-core, \((\beta_0,\beta_1)\) the 2-quotient of a partition \(\lambda\), then the triple \((\alpha; \beta_0,\beta_1)\) uniquely determines \(\lambda\); see \textit{G. James} and \textit{A. Kerber} [The representation theory of the symmetric group (Addison-Wesley, Reading, MA) (1981; Zbl 0491.20010)]. The present author constructs a
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On the Distribution of Multiplicities in Integer Partitions [PDF]
Annals of Combinatorics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Separable integer partition classes
Transactions of the American Mathematical Society, Series B, 2022 A classical method for partition generating function is developed into a tool with wide applications. New expansions of well-known theorems are derived, and new results for partitions with n n
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