Operator (computer programming)

About: Operator (computer programming) is a research topic. Over the lifetime, 40896 publications have been published within this topic receiving 671452 citations. The topic is also known as: operator symbol & operator name.

Full linearized Fokker–Planck collisions in neoclassical transport simulations

Abstract: The complete linearized Fokker–Planck collision operator has been implemented in the drift-kinetic code NEO (Belli and Candy 2008 Plasma Phys. Control. Fusion 50 095010) for the calculation of neoclassical transport coefficients and flows. A key aspect of this work is the development of a fast numerical algorithm for treatment of the field particle operator. This Eulerian algorithm can accurately treat the disparate velocity scales that arise in the case of multi-species plasmas. Specifically, a Legendre series expansion in ξ (the cosine of the pitch angle) is combined with a novel Laguerre spectral method in energy to ameliorate the rapid numerical precision loss that occurs for traditional Laguerre spectral methods. We demonstrate the superiority of this approach to alternative spectral and finite-element schemes. The physical accuracy and limitations of more commonly used model collision operators, such as the Connor and Hirshman–Sigmar operators, are studied, and the effects on neoclassical impurity poloidal flows and neoclassical transport for experimental parameters are explored.

A unified model between the weighted average and the induced OWA operator

Abstract: We present a new model that uses the weighted average (WA) and the induced ordered weighted averaging (IOWA) operator in the same formulation. We call it the induced ordered weighted averaging-weighted average (IOWAWA) operator. We study some of its main properties and we see that it has a lot of particular cases such as the WA and the OWA operator. The main advantage of the IOWAWA operator is that it unifies the IOWA operator with the WA in the same formulation considering the degree of importance that each concept has in the aggregation. We analyze the applicability of this new approach and we see that it is very broad because it can be applied in a wide range of fields such as statistics, economics, decision theory and engineering. Theoretically, we could state that all the previous models and applications based on the WA and the IOWA can be revised and improved with this new approach because they will be included in this framework as a particular case. We focus on an application in a multi-person decision-making in political management.

Power assist method for HAL-3 estimating operator's intention based on motion information

Abstract: This paper describes the recognition method and the control method to realize the power assist which reflects operator's intention by grasping the interaction between operator's intention and motion information. The basic control method for HAL had been performed by using myoelectricity which reflects operator's intention. As the application of the basic method, we considered the control method of power assist based on another information by considering the relation between myoelectricity and another information of motion, and the recognition method for the control method. We adopted phase sequence control which generated a series of assist motions by the transition of some fundamental motions called phase. The result of experiments showed the effective power assist which reflected operator's intention by using this control method.

Soliton Equations And Hamiltonian Systems

Abstract: Integrable Systems Generated by Linear Differential nth Order Operators Hamiltonian Structures Hamiltonian Structure of the GD Hierarchies Modified KdV and GD. The Kupershmidt-Wilson Theorem The KP Hierarchy Baker Function, t-Function Additional Symmetries, String Equation Grassmannian. Algebraic-Geometrical Krichever Solutions Matrix First-Order Operator, AKNS-D Hierarchy Generalization of the AKNS-D Hierarchy: Single-Pole and Multi-Pole Matrix Hierarchies Isomonodromic Deformations and the Most General Matrix Hierarchy Tau Functions of Matrix Hierarchies KP, Modified KP, Constrained KP, Discrete KP, and q-KP Another Chain of KP Hierarchies and Integrals Over Matrix Varieties Transformational Properties of a Differential Operator under Diffeomorphisms and Classical W-Algebras Further Restrictions of the KP, Stationary Equations Stationary Equations of the Matrix Hierarchy Field Lagrangian and Hamiltonian Formalism Further Examples and Applications.