On Generalized Operator-valued Toeplitz Kernels

2009 ◽  
pp. 191-195
Author(s):  
Olga Chernobai
Keyword(s):  
Generalized Operator

Approximate energy eigenvalues from a generalized operator method

1983 ◽  
Vol 95 (9) ◽  
pp. 481-483 ◽  
Author(s):  
Christopher C. Gerry ◽  
Steven Silverman
Keyword(s):  
Operator Method ◽  
Energy Eigenvalues ◽  
Generalized Operator

scholarly journals Generalized collision operator for fast electrons interacting with partially ionized impurities

2018 ◽  
Vol 84 (6) ◽  
Author(s):  
L. Hesslow ◽  
O. Embréus ◽  
M. Hoppe ◽  
T. C. DuBois ◽  
G. Papp ◽  
...  
Keyword(s):  
Growth Rate ◽  
Electric Fields ◽  
Collision Operator ◽  
Impurity Content ◽  
Fast Electrons ◽  
Generalized Operator ◽  
Partially Ionized ◽  
High Electric Fields ◽  
Bound Electrons ◽  
Fokker Planck

Accurate modelling of the interaction between fast electrons and partially ionized atoms is important for evaluating tokamak disruption mitigation schemes based on material injection. This requires accounting for the effect of screening of the impurity nuclei by the cloud of bound electrons. In this paper, we generalize the Fokker–Planck operator in a fully ionized plasma by accounting for the effect of screening. We detail the derivation of this generalized operator, and calculate the effective ion length scales, needed in the components of the collision operator, for a number of ion species commonly appearing in fusion experiments. We show that for high electric fields, the secondary runaway growth rate can be substantially larger than in a fully ionized plasma with the same effective charge, although the growth rate is significantly reduced at near-critical electric fields. Furthermore, by comparison with the Boltzmann collision operator, we show that the Fokker–Planck formalism is accurate even for large impurity content.

A Method of the Green Product Configuration Design Based on Multi-Layer Generalized Operator and Genetic Algorithm

2013 ◽  
Vol 483 ◽  
pp. 542-549 ◽  
Author(s):  
Dian Ting Liu ◽  
Fei Fei Jia
Keyword(s):  
Genetic Algorithm ◽  
Design Method ◽  
Product Configuration ◽  
Configuration Design ◽  
Fuzzy Operator ◽  
Modular Products ◽  
Product Function ◽  
Generalized Operator ◽  
Optimal Design Method ◽  
Crossover And Mutation

Taking the configuration design of the lifting device in a bridge crane as an example, this paper discusses the green optimal design method of enterprise's modular products with uncertain factors. The multi-layer generalized operators and comprehensive mathematical model under uncertainty are established based on the mapping relationship between product function and its structure. The model is transformed to an ascertaining combinatorial optimization model by de-fuzzy operator, and then it is solved by GA (Genetic Algorithm, GA). The method of chromosome encoding in binary that the chromosome is segmented by components and the genes in each segment are ranged as corresponding structures of each component, and the methods of selection and crossover and mutation operator are presented in this paper. The result of the green configuration design on the lifting device verifies the effectiveness and practical value of the method proposed in this paper.

Stochastic semigroups with generalized operator values

1978 ◽  
Vol 29 (3) ◽  
pp. 282-285
Author(s):  
G. P. Butsan
Keyword(s):  
Generalized Operator

scholarly journals PUSH: A generalized operator for the Maximum Vertex Weight Clique Problem

2017 ◽  
Vol 257 (1) ◽  
pp. 41-54 ◽  
Author(s):  
Yi Zhou ◽  
Jin-Kao Hao ◽  
Adrien Goëffon
Keyword(s):  
Vertex Weight ◽  
Generalized Operator ◽  
Clique Problem
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