Closures of the variety Gor(T), and the parameter space G(T) of graded algebras

1999 ◽  
pp. 249-253
Author(s):  
Anthony Iarrobino ◽  
Vassil Kanev
Keyword(s):  
Parameter Space ◽  
Graded Algebras

Investigation of the applicability domains of the bubble cluster mathematical model

2011 ◽  
Vol 8 (1) ◽  
pp. 65-73
Author(s):  
E.Sh. Nasibullaeva ◽  
I.Sh. Akhatov
Keyword(s):  
Mathematical Model ◽  
Parameter Space ◽  
Acoustic Field ◽  
Initial Radius ◽  
Large Drop ◽  
Bubble Cluster ◽  
The Mathematical Model

The mathematical model of a bubble cluster subjected to an acoustic field is investigated. In this model the cluster is considered as a large drop containing a liquid and a set of microbubbles. Areas of applicability of the mathematical model of the bubble cluster in the parameter space (α, R_0) are constructed, where α is the bubble concentration in the cluster; R_0 is the initial radius of the cluster.

Rapid Characterization and Parameter Space Exploration of Perovskites Using an Automated Routine

2019 ◽  
Vol 22 (1) ◽  
pp. 6-17 ◽  
Author(s):  
Elisabeth Reinhardt ◽  
Ahmed M. Salaheldin ◽  
Monica Distaso ◽  
Doris Segets ◽  
Wolfgang Peukert
Keyword(s):  
Parameter Space ◽  
Space Exploration ◽  
Rapid Characterization

scholarly journals Search Acceleration of Evolutionary Multi-Objective Optimization Using an Estimated Convergence Point

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 129 ◽  
Author(s):  
Yan Pei ◽  
Jun Yu ◽  
Hideyuki Takagi
Keyword(s):  
Parameter Space ◽  
Statistical Tests ◽  
Distribution Characteristic ◽  
Multi Objective Optimization ◽  
Pareto Improvement ◽  
Pareto Solutions ◽  
Pareto Solution ◽  
Multi Objective ◽  
Objective Space ◽  
Convergence Point

We propose a method to accelerate evolutionary multi-objective optimization (EMO) search using an estimated convergence point. Pareto improvement from the last generation to the current generation supports information of promising Pareto solution areas in both an objective space and a parameter space. We use this information to construct a set of moving vectors and estimate a non-dominated Pareto point from these moving vectors. In this work, we attempt to use different methods for constructing moving vectors, and use the convergence point estimated by using the moving vectors to accelerate EMO search. From our evaluation results, we found that the landscape of Pareto improvement has a uni-modal distribution characteristic in an objective space, and has a multi-modal distribution characteristic in a parameter space. Our proposed method can enhance EMO search when the landscape of Pareto improvement has a uni-modal distribution characteristic in a parameter space, and by chance also does that when landscape of Pareto improvement has a multi-modal distribution characteristic in a parameter space. The proposed methods can not only obtain more Pareto solutions compared with the conventional non-dominant sorting genetic algorithm (NSGA)-II algorithm, but can also increase the diversity of Pareto solutions. This indicates that our proposed method can enhance the search capability of EMO in both Pareto dominance and solution diversity. We also found that the method of constructing moving vectors is a primary issue for the success of our proposed method. We analyze and discuss this method with several evaluation metrics and statistical tests. The proposed method has potential to enhance EMO embedding deterministic learning methods in stochastic optimization algorithms.

scholarly journals Exploring color-octet scalar parameter space in minimal R-symmetric models

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Linda M. Carpenter ◽  
Taylor Murphy ◽  
Matthew J. Smylie
Keyword(s):  
Large Hadron Collider ◽  
Parameter Space ◽  
Branching Fractions ◽  
Hadron Collider ◽  
Collider Phenomenology ◽  
Decay Channels ◽  
Color Octet ◽  
Supersymmetric Models ◽  
Three Body ◽  
Displaced Vertex

Abstract In this work we study the collider phenomenology of color-octet scalars (sgluons) in minimal supersymmetric models endowed with a global continuous R symmetry. We systematically catalog the significant decay channels of scalar and pseudoscalar sgluons and identify novel features that are natural in these models. These include decays in nonstandard diboson channels, such as to a gluon and a photon; three-body decays with considerable branching fractions; and long-lived particles with displaced vertex signatures. We also discuss the single and pair production of these particles and show that they can evade existing constraints from the Large Hadron Collider, to varying extents, in large regions of reasonable parameter space. We find, for instance, that a 725 GeV scalar and a 350 GeV or lighter pseudoscalar can still be accommodated in realistic scenarios.

scholarly journals Long-lived light neutralinos at Belle II

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Sourav Dey ◽  
Claudio O. Dib ◽  
Juan Carlos Helo ◽  
Minakshi Nayak ◽  
Nicolás A. Neill ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Parameter Space ◽  
Rare Decays ◽  
Final States ◽  
Charged Pions ◽  
Belle Ii ◽  
Background Events ◽  
Displaced Vertex

Abstract We consider light neutralinos of mass about 1 GeV, produced from τ lepton rare decays at Belle II, in the context of R-parity-violating (RPV) supersymmetry. With large and clean samples of τ leptons produced at the Belle II experiment, excellent sensitivity to such light neutralinos with the exotic signatures of displaced vertices is expected. We focus on two benchmark scenarios of single RPV operators, $$ {\lambda}_{311}^{\prime }{L}_3{Q}_1{\overline{D}}_1 $$ λ 311 ′ L 3 Q 1 D ¯ 1 and $$ {\lambda}_{312}^{\prime }{L}_3{Q}_1{\overline{D}}_2 $$ λ 312 ′ L 3 Q 1 D ¯ 2 , which induce both the production and decay of the lightest neutralino. For the reconstruction of a displaced vertex, we require at least two charged pions in the final states. We perform Monte-Carlo simulations for both signal and background events, and find that Belle II can explore regions in the parameter space competitive with other probes. In particular, for the $$ {\lambda}_{311}^{\prime } $$ λ 311 ′ scenario, it can put limits up to two orders of magnitude stronger than the current bounds.

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