Gaudin models and bending flows: a geometrical point of view

The Geometrical Barbilian’s Work from a Modern Point of View

We comment–from a modern point of view the Barbilian’s geometrical work, emphasizing his results in the study of the geometries over rings. Recent progresses are reported here and open problems are listed. Mathematics Subject Classification: 51C, 53.

Dexterous Manipulation: A Geometrical Reasoning Point of View

| This paper addresses the problem of dexterous manipulation of objects using an articulated hand. We describe some geometric reasoning techniques that can be applied to solve active compliance tasks. In this context, ne motion strategies are derived from the positions and forces between the grasped object and the ngers of the hand. Our approach is based in the minimum power principle of the gr...

Bethe Subalgebras in Hecke Algebra and Gaudin Models Bethe Subalgebras in Hecke Algebra and Gaudin Models

The generating function for elements of the Bethe subalgebra of Hecke algebra is constructed as Sklyanin's transfer-matrix operator for Hecke chain. We show that in a special classical limit q → 1 the Hamiltonians of the Gaudin model can be derived from the transfer-matrix operator of Hecke chain. We consruct a non-local analogue of the Gaudin Hamiltonians for the case of Hecke algebras.

From a Geometrical Point of View, A Study of the History and Philosophy of Category Theory

Spend your time even for only few minutes to read a book. Reading a book will never reduce and waste your time to be useless. Reading, for some people become a need that is to do every day such as spending time for eating. Now, what about you? Do you like to read a book? Now, we will show you a new book enPDFd from a geometrical point of view a study of the history and philosophy of category th...

Fuzzy sets form A meta-system-theoretic point of view