scholarly journals The Hilbert basis method for D-flat directions and the superpotential

2011 ◽  
Vol 2011 (10) ◽  
Author(s):  
Rolf Kappl ◽  
Michael Ratz ◽  
Christian Staudt
Keyword(s):  
Hilbert Basis ◽  
Basis Method

Institutionalism: Theory, Decision-making Basis, Method of Criticism

2009 ◽  
pp. 110-124 ◽  
Author(s):  
A. Moskovsky
Keyword(s):  
Decision Making ◽  
Institutional Economics ◽  
Economic Reforms ◽  
The State ◽  
Economic Approach ◽  
Main Attention ◽  
Technological Imperative ◽  
Logical Inconsistency ◽  
Basis Method

The author analyzes the state of institutional economics in contemporary Russia. It is characterized by arbitrary confusion of the ideas of «old», «new» and «mathematical» versions of institutionalism which results in logical inconsistency and even eclectics to be observed in the literature. The new and mathematical versions of institutionalism are shown to be based on legal, political and mathematical determinism tightly connected with the so-called «economic approach» (G. Becker). The main attention is paid to the discussion of theoretical and practical potential of the contemporary classical («old») institutionalism. The author focuses on its philosophical grounds and its technological imperative, the institution of science, the method of criticism, the opportunity of using classical institutionalist ideas as the ideology of economic reforms in Russia.

scholarly journals Gelfand-Kirillov Dimensions of Modules over Differential Difference Algebras

2016 ◽  
Vol 23 (04) ◽  
pp. 701-720 ◽  
Author(s):  
Xiangui Zhao ◽  
Yang Zhang
Keyword(s):  
Computational Method ◽  
Finitely Generated ◽  
Finitely Generated Module ◽  
Polynomial Algebras ◽  
Ore Extensions ◽  
Basis Method ◽  
Finitely Generated Modules ◽  
Kirillov Dimension

Differential difference algebras are generalizations of polynomial algebras, quantum planes, and Ore extensions of automorphism type and of derivation type. In this paper, we investigate the Gelfand-Kirillov dimension of a finitely generated module over a differential difference algebra through a computational method: Gröbner-Shirshov basis method. We develop the Gröbner-Shirshov basis theory of differential difference algebras, and of finitely generated modules over differential difference algebras, respectively. Then, via Gröbner-Shirshov bases, we give algorithms for computing the Gelfand-Kirillov dimensions of cyclic modules and finitely generated modules over differential difference algebras.

Reduced basis method for real-time inverse scatterometry

2011 ◽  
Author(s):  
Jan Pomplun ◽  
Sven Burger ◽  
Lin Zschiedrich ◽  
Frank Schmidt
Keyword(s):  
Real Time ◽  
Reduced Basis Method ◽  
Reduced Basis ◽  
Basis Method

Fast online simulation of 3D nanophotonic structures by the reduced basis method

2011 ◽  
Author(s):  
Frank Schmidt ◽  
Jan Pomplun ◽  
Lin Zschiedrich ◽  
Sven Burger
Keyword(s):  
Reduced Basis Method ◽  
Reduced Basis ◽  
Online Simulation ◽  
Basis Method ◽  
Nanophotonic Structures
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