We give a two-parameter quantum deformation of the exterior plane and its differential calculus without the use of any R-matrix and relate it to the differential calculus with the R-matrix. We prove that there are two types of solutions of the Yang-Baxter equation whose symmetry group is GLp,q(2). We also give a two-parameter deformation of the fermionic oscillator algebra. Quantum groups are a...

and Applied Analysis 3 We also assume that aij , bij , cik, γik : R → 0, ∞ and τik : R → 0, ∞ are all ω-periodic functions, ri max1≤k≤l{τ ik}, and i, j 1, 2, k 1, . . . , l. Set Ai 2 ∫ω 0 aii t bii t dt, Bi l ∑ j 1 ∫ω 0 cij t dt, γ i max 1≤j≤l { γ ij } , γ− i min 1≤j≤l { γ− ij } , D1 ∫ω 0 a12 t dt, D2 ∫ω 0 a21 t dt, Ci ∫ω 0 aii t dt, i 1, 2. 1.6 Let R R be the set of all nonnegative real vector...

Multiple scattering effects are studied on the cross section of elastic scattering of neutron. The cross section is found to be enhanced within a narrow angle centered around the backscattering direction due to interference effects. The spin-flip scattering causes an antienhancement of intensities. Anderson localization of light as well as electron In the first-order Born approximation, the cro...

I give some personal reactions to the development of game theory as it found application in economic analysis during the last half-century. I discuss which contributions have in fact found use and, in particular, what was the role of Theory of Games and Economic Behavior in light of previous and subsequent developments.  2003 Elsevier Inc. All rights reserved. JEL classification: B21 I have be...

In this paper, some control strategies to design decentralized controllers are developed and discussed. These strategies are based on the Inclusion Principle, a very useful mathematical framework to obtain decentralized controllers, mainly when the systems are composed by overlapped subsystems sharing common parts. A five-story building model serves as example to show the advantages provided by...

Fluorescence in situ hybridization (FISH) is regarded as a potential new tool for the clinical management of bladder cancer that works by detecting cytogenetic aberrations in noncycling, exfoliated cells from bladder irrigations. However, clinical validation steps must be addressed to define the true predictive potential in a clinical setting. Toward the validation of FISH with the use of bladd...

It is shown that parametrical smoothness conditions are su cient for modeling smooth spline surfaces of arbitrary topology if degenerated surface segments are accepted. In general, degeneracy, i.e. vanishing partial derivatives at extraordinary points, is leading to surfaces with geometrical singularities. However, if the partial derivatives of higher order satisfy certain conditions, the exist...

The visualization of the process data is an important factor in understanding process behavior. In this paper, both static and dynamic process information is mapped in a self-organizing map. This method is experimented in the modeling of the simulated Tennessee Eastman benchmark process. Introduction When the processes to be controlled are becoming more and more complex, understanding the proce...

In this paper, we characterize, interpret, and test the over-identifying restrictions imposed in a ne models of the term-structure. "We begin by showing, using the classi cation scheme proposed by Dai, Liu, and Singleton [10] for general a ne di usions, that the family of N -factor models can be classi ed into N + 1 non-nested sub-families of models. For each subfamily, we derive a canonical mo...