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MHV gluon scattering in the massive scalar background and celestial OPE

open access: yesJournal of High Energy Physics, 2023
In this paper we study the tree-level OPE between two positive helicity outgoing gluons in the celestial CFT for the Yang-Mills theory chirally coupled to a massive scalar background. This theory breaks the translation as well as scale invariance.
Shamik Banerjee   +3 more
doaj   +1 more source

Vertices Contained In All Or In No Minimum Semitotal Dominating Set Of A Tree

open access: yesDiscussiones Mathematicae Graph Theory, 2016
Let G be a graph with no isolated vertex. In this paper, we study a parameter that is squeezed between arguably the two most important domination parameters; namely, the domination number, γ(G), and the total domination number, γt(G). A set S of vertices
Michael A. Henning, Alister J. Marcon
semanticscholar   +1 more source

ForestSoft Set Approach for Estimating Innovation and Entrepreneurship Education in Universities through a Hierarchical and Uncertainty-Aware Analytical Framework [PDF]

open access: yesNeutrosophic Sets and Systems
This study introduces a novel application of ForestSoft Set (FSS) theory, an advanced extension of soft set theory, to evaluate the performance of innovation and entrepreneurship education (IEE) in universities.
Hairong Luo
doaj   +1 more source

Transforming structures by set interpretations [PDF]

open access: yesLogical Methods in Computer Science, 2007
We consider a new kind of interpretation over relational structures: finite sets interpretations. Those interpretations are defined by weak monadic second-order (WMSO) formulas with free set variables.
Thomas Colcombet, Christof Löding
doaj   +1 more source

Applications of cohomology to set theory II: Todorčević trees

open access: yesAnnals of Pure and Applied Logic, 1996
The author develops a cohomology theory for a class of \(\omega_1\)-trees. This continues the author's investigations in Part I [ibid. 71, 69-106 (1995; Zbl 0824.03029)] on application of cohomology to gaps. An \(\omega_1\)-tree \(T\) is special if there is a function \(f: T\to \mathbb{Z}\) such that if \(s< t\) then \(f(s)\neq f(t)\).
openaire   +1 more source

Scattering of conformal higher spin fields

open access: yesJournal of High Energy Physics, 2018
We develop a formalism for describing the most general notion of tree-level scattering amplitudes in 4d conformal higher spin theory. As conformal higher spin fields obey higher-derivative equations of motion, there are many distinct on-shell external ...
Tim Adamo   +2 more
doaj   +1 more source

Improvement of ID3 Algorithm Based on Simplified Information Entropy and Coordination Degree

open access: yesAlgorithms, 2017
The decision tree algorithm is a core technology in data classification mining, and ID3 (Iterative Dichotomiser 3) algorithm is a famous one, which has achieved good results in the field of classification mining.
Yingying Wang   +4 more
doaj   +1 more source

BCJ numerators from differential operator of multidimensional residue

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
In previous works, we devised a differential operator for evaluating typical integrals appearing in the Cachazo–He–Yuan (CHY) forms and in this paper we further streamline this method.
Gang Chen, Tianheng Wang
doaj   +1 more source

Deep Fuzzy Tree for Large-Scale Hierarchical Visual Classification

open access: yesIEEE transactions on fuzzy systems, 2020
Deep learning models often use a flat softmax layer to classify samples after feature extraction in visual classification tasks. However, it is hard to make a single decision of finding the true label from massive classes.
Yu Wang   +6 more
semanticscholar   +1 more source

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