The Wavelet transform is defined for infinite-length signals. In practice we only have finite-length signals, so signals must be extended before they can be transformed. The question is how to extend the signal to minimize signal end effects, or how to find the signal extension that preserves the transform signal length. In this paper we discuss the problem of signal extension in perfect recons...

The nonlinear σ-model has known a new interest for it allows to describe the properties of two-dimensional quantum antiferromagnets which, when properly doped, become superconductors up critical temperature notably high compared other types superconducting materials. This model been conjectured be equivalent at low temperatures Heisenberg model. In this article we rigorously examine 2d-square l...

The aim of this manuscript is to understand the dynamics products nonnegative matrices. We extend a well known consequence Perron-Frobenius theorem on periodic points matrix finitely many matrices associated word and later word, possibly infinite length.

in this paper we consider the group algebra $r(c_2times‎ ‎d_infty)$‎. ‎it is shown that $r(c_2times d_infty)$ can be‎ ‎represented by a $4times 4$ block circulant matrix‎. ‎it is also‎ ‎shown that $mathcal{u}(mathbb{z}_2(c_2times d_infty))$ is‎ ‎infinitely generated‎.

‎linear semi-infinite programming problem is an important class of optimization problems which deals with infinite constraints‎. ‎in this paper‎, ‎to solve this problem‎, ‎we combine a discretization method and a neural network method‎. ‎by a simple discretization of the infinite constraints,we convert the linear semi-infinite programming problem into linear programming problem‎. ‎then‎, ‎we use...

This thesis considers infinite constellations in fading channels, without power constraint and with perfect channel state information available at the receiver. Infinite constellations are the framework, proposed by Poltyrev, for analyzing coded modulation codes. The Poltyrev’s capacity, is the highest achievable normalized log density (NLD) of codewords per unit volume, at possibly large block...

We prove an inequality for the number of periods in a word [Formula: see text] terms length and its initial critical exponent. Next, we characterize all length-[Formula: prefix characteristic Sturmian lazy Ostrowski representation text], use this result to show that our is tight infinitely many words text]. propose two related measures periodicity infinite words. Finally, also consider special ...

Data stream classification poses many challenges to the data mining community. Here this paper solves all the challenges such as infinite length, concept-drift, concept-evolution, and feature-evolution. Since a data stream is theoretically infinite in length, it is impractical to store and use all the historical data for training. Concept-drift is a common phenomenon in data streams, which occu...

Aerodynamic forces acting on railway vehicles depend not only the shape of but also types infrastructure. In this study, leading car a train is simplified as finite-length square cylinder; and middle an infinite-length cylinder. We conducted large-eddy simulations (LES) flow around vehicle model flat ground, embankment viaducts. The LES results confirm that side force coefficients models change...

We present ActMiner, which addresses four major challenges to data stream classification, namely, infinite length, concept-drift, concept-evolution, and limited labeled data. Most of the existing data stream classification techniques address only the infinite length and concept-drift problems. Our previous work, MineClass, addresses the concept-evolution problem in addition to addressing the in...