Search results for "Mathematica"

The hidden group structure of quantum groups: strong duality, rigidity and preferred deformations

1994

A notion of well-behaved Hopf algebra is introduced; reflexivity (for strong duality) between Hopf algebras of Drinfeld-type and their duals, algebras of coefficients of compact semi-simple groups, is proved. A hidden classical group structure is clearly indicated for all generic models of quantum groups. Moyal-product-like deformations are naturally found for all FRT-models on coefficients andC∞-functions. Strong rigidity (H bi 2 ={0}) under deformations in the category of bialgebras is proved and consequences are deduced.

Producer's spatial equilibrium with a fuzzy constraint

1980

The classical theory of the producer’s equilibrium rests on two sets of particularly restrictive hypotheses. First it is implicitely assumed that all inputs and outputs are located in a single place where the producer is also implanted and where the production is carried out. Next it is assumed that the producer follows a precise behaviour pattern, by this we mean that the producer has complete information concerning the conditions of hisproductive activity and he has perfect command over both the set of inputs and the set of outputs; he realises the maximum profit allowed by the technological constraint which limits his possible actions and by the given price system. The aim of this study …

On the limits to the long-period method in classical economics. A note

2001

On a first reading of Theory of Production, Kurz & Salvadori (1995) appear to confine the empirical domain of the long-period models of the classical theory of value and distribution to stationary economies with non-constant returns to scale and to growing economies with constant returns to scale. Such a reading is shown to be untenable since it merges the two levels of exploring the extension of a model and of testing a theoretical hypothesis. Conversely, the way Kurz & Salvadori tackle the problems of price dynamics and returns to scale in growing economies is shown to be compatible with what appears to be Sraffa's (implicit) strategy of research.

Some contributions to the theory of transformation monoids

2019

The aim of this paper is to present some contributions to the theory of finite transformation monoids. The dominating influence that permutation groups have on transformation monoids is used to describe and characterise transitive transformation monoids and primitive transitive transformation monoids. We develop a theory that not only includes the analogs of several important theorems of the classical theory of permutation groups but also contains substantial information about the algebraic structure of the transformation monoids. Open questions naturally arising from the substantial paper of Steinberg [A theory of transformation monoids: combinatorics and representation theory. Electron. J…

Differential properties of the Moreau envelope

2014

International audience; In a vector space endowed with a uniformly Gâteaux differentiable norm, it is proved that the Moreau envelope enjoys many remarkable differential properties and that its subdifferential can be completely described through a certain approximate proximal mapping. This description shows in particular that the Moreau envelope is essentially directionally smooth. New differential properties are derived for the distance function associated with a closed set. Moreover, the analysis, when applied to the investigation of the convexity of Tchebyshev sets, allows us to recover several known results in the literature and to provide some new ones.

Singular solutions to p-Laplacian type equations

1999

We construct singular solutions to equations $div\mathcal{A}(x,\nabla u) = 0,$ similar to the p-Laplacian, that tend to ∞ on a given closed set of p-capacity zero. Moreover, we show that every Gδ-set of vanishing p-capacity is the infinity set of some A-superharmonic function.

Corrigendum to “Imaginary time propagation code for large-scale two-dimensional eigenvalue problems in magnetic fields” [Comput. Phys. Comm. 184(3) (…

2016

Evaluation of legendre functions of argument greater than one

1997

Abstract In this paper we present an algorithm to evaluate Legendre functions of the first and second kinds ( P v , Q v ) for integraland half-integral order and argument greater than one. The code is based on the calculation of the continued fraction for the Q 's. the Wronskian relating P 's and Q 's and the application of forward recurrence relations for the P 's and backward recurrence for the Q 's. We also show an application of these algorithms to the evaluation of the electrostatic field due to a charged toroidal conductor at potential V .

Concepts of All-Optical Physiology

2017

Control Structures in Motivational Psychology

1996

Abstract Motivational processes in psychology have been interpreted from many different viewpoints. In the general case, they present an information feedback structure, with goals and disturbances, in a similar way most control systems behave. In this contribution, this similarity is analysed and examples of motivational processes corresponding to the most common control system structures are given. This comparison will be fruitful from both sides: to explore a new field of control theory application and to provide a new framework to the analysis of these complex processes.