Results 51 to 60 of about 293,918 (162)

Some problems in analytic number theory for polynomials over a finite field

, 2015
The lecture, given at the ICM 2014 in Seoul, explores several problems of analytic number theory in the context of function fields over a finite field, where they can be approached by methods different than those of traditional analytic number theory.
openaire   +2 more sources

The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer's Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph

, 2023
In this research, assume a SuperHyperGraph. Then an extreme SuperHyperMatching $\mathcal{C}(NSHG)$ for a neutrosophic SuperHyperGraph $NSHG:(V,E)$ is the maximum cardinality of a SuperHyperSet $S$ of high cardinality SuperHyperEdges such that there's no SuperHyperVertex not to in a SuperHyperEdge and there's no SuperHyperEdge to have a SuperHyperVertex
openaire   +1 more source

3d field theory, plane partitions and triple Macdonald polynomials

Journal of High Energy Physics, 2019
We argue that MacMahon representation of Ding-Iohara-Miki (DIM) algebra spanned by plane partitions is closely related to the Hilbert space of a 3d field theory.
Yegor Zenkevich
doaj   +1 more source

Complexity of Some Generalized Operations on Networks

Complexity, 2021
The number of spanning trees in a network determines the totality of acyclic and connected components present within. This number is termed as complexity of the network.
Muhammad Javaid, Hafiz Usman Afzal, Shaohui Wang   +2 more
doaj   +1 more source

Knot Homology from Refined Chern-Simons Theory [PDF]

, 2012
We formulate a refinement of SU(N) Chern-Simons theory on a three-manifold via the refined topological string and the (2,0) theory on N M5 branes. The refined Chern-Simons theory is defined on any three-manifold with a semi-free circle action. We give an
Aganagic, Mina, Shakirov, Shamil
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Topological string amplitudes for the local half K3 surface

, 2017
We study topological string amplitudes for the local half K3 surface. We develop a method of computing higher-genus amplitudes along the lines of the direct integration formalism, making full use of the Seiberg-Witten curve expressed in terms of modular ...
Sakai, Kazuhiro
core   +1 more source

Feasibility of primality in bounded arithmetic

Forum of Mathematics, Sigma
We prove the correctness of the AKS algorithm [1] within the bounded arithmetic theory $T^{\text {count}}_2$ or, equivalently, the first-order consequences of the theory $\text {VTC}^0$ expanded by the smash function, which we denote by
Raheleh Jalali, Ondřej Ježil
doaj   +1 more source

On condition numbers of polynomial eigenvalue problems with nonsingular leading coefficients [PDF]

, 2008
In this paper, we investigate condition numbers of eigenvalue problems of matrix polynomials with nonsingular leading coefficients, generalizing classical results of matrix perturbation theory.
Papathanasiou, Nikolaos, Psarrakos, Panayiotis   +1 more
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Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks

Journal of Chemistry, 2017
A topological index is a real number associated with chemical constitution purporting for correlation of chemical structure with various physical properties, chemical reactivity, or biological activity.
Wei Gao, Muhammad Kamran Siddiqui
doaj   +1 more source

A probabilistic interpretation of the Macdonald polynomials [PDF]

, 2010
The two-parameter Macdonald polynomials are a central object of algebraic combinatorics and representation theory. We give a Markov chain on partitions of k with eigenfunctions the coefficients of the Macdonald polynomials when expanded in the power sum ...
Diaconis, Persi, Ram, Arun
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