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A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples
plus-construction Bousfield localization Moore spaces zero-in-the-spectrum K-Theory and Homology
2011/9/14
Abstract: We introduce a construction adding low-dimensional cells to a space that satisfies certain low-dimensional conditions; it preserves high-dimensional homology with appropriate coefficients. T...
Generating functions for the Bernstein polynomials: A unified approach to deriving identities for the Bernstein basis functions
Bernstein polynomials generating function Szasz-Mirakjan basis functions
2011/2/28
The main aim of this paper is to provide a unified approach to deriving identities for the Bernstein polynomials using a novel generating function. We derive various functional equations and different...
A basic reason for our interest in complexity is the striking similarity in behaviour close to irreversible phase transitions among systems that are otherwise quite different in nature. It is by now r...
This paper summarizes the main points of a theoretical study of the general
watershed behaviour, on the basis of the known deterministic physics-based
approaches for overland flow, underground flow ...
An unified approach to meteorological modelling based on multiple-scales asymptotics
meteorological modelling multiple-scales asymptotics quasi-geostrophic theory
2010/1/28
In 2003, the author suggested a mathematical framework for the derivation of reduced meteorological models at a Mathematics conference (5th ICIAM, Sydney, Australia), (Klein, 2004). The framework cons...
Unified approach to evolution equations for non-isothermal phase transitions
Evolution equation Phase field Non-isothermal transitions
2010/9/15
The purpose of the paper is to set up a scheme which embodies and generalizes a wide class of phase-transition models and, moreover, provides a direct approach which avoids ad-hoc assumptions. The sta...
A UNIFIED APPROACH TO THE METHOD OF GRADIENT PROJECTION WITH ARBITRARY INITIAL POINT
Gradient projection method arbitrary ini
2007/12/10
摘要 In this paper, we present a family of gradient projection method with arbitrary initial point. The formula of search direction in the method is unitary. The convergent conditions of the method are ...
Unified approach to catastrophic events:from the normal state to geological or biological shock in terms of spectral fractal and nonlinear analysis
catastrophic events normal state geological or biological shock nonlinear analysis
2009/12/29
An important question in geophysics is whether earthquakes (EQs) can be anticipated prior to their occurrence. Pre-seismic electromagnetic (EM) emissions provide a promising window through which the d...