The relationship between finite discrete Zak transform and finite Gabor expansion are well discussed in this paper. In this paper, we present two DFT-based algorithms for computing Gabor coefficients. One is based upon the time-split Zak transform, the other is based upon the frequency-split Zak transform. These two methods are time and frequency dual pairs. With the help of Zak transform, the ...

E-learning is popularized so fast and Collaborative Learning (CL) becomes so important an instructional strategy. There are huge Group Session (GS) texts needed to be analyzed to evaluate CL, thus the automatic or semi-automatic methods of analyzing the GS texts become very important. In this paper we present a method called Interaction Analysis depended on Knowledge Extraction (IAKE) to analyz...

We discuss various properties of the ground state of a Bose-condensed dilute gas confined by an external potential. We devote particular attention to the role played by the interaction in determining the kinetic energy of the system and the aspect ratio of the velocity distribution. The structure of the wave function near the classical turning point is discussed and the drawback of the Thomas-F...

In this paper, first, we present a kinetic data structure for the problem of kinetic convex hull maintenance. After that, discuss some complicated cases followed by the main algorithm and two additional algorithms. Finally, focus on the evaluation of the four properties of the kinetic algorithm in the worst case. We show that quality factors of our algorithm are at most linear. Comparing with s...

Let M be a triangulated, orientable 2-manifold of genus g without boundary, and let h be a height function over M that is linear within each triangle. We present a kinetic data structure (KDS) for maintaining the Reeb graph R of h as the heights of M’s vertices vary continuously with time. Assuming the heights of two vertices of M become equal only O(1) times, the KDS processes O((κ + g)n polyl...

Credible control and overall stabilization of closed-loop nonlinear systems presented in a port-controlled hamiltonian structure (PCH-D) were forever the development simultaneous interconnection damping assignment passivity-based (SIDA-PBC) method. The robustness reliability method called into question against noise certainly modelling errors. Indeed, new scheme has been to doubly fed induction...

242 words, Introduction647 words, Discussion1499 words. 17 Disclosures / Conflict of Interests 18 The authors declare that no competing interests exist. BR, JG, and KMC performed 19 experiments and data analysis, and BR and KMC wrote the paper. 20