Experimental investigation on flash evaporation of water at different water depths with functional analysis method

The Duffin-Kemmer-Petiau oscillator for spin 0 particle in noncommutative plane is analyzed and the energy eigenvalue of the system is obtained by employing the functional analysis method. Furthermore, the thermodynamic properties of the noncommutative DKP oscillator are investigated via numerical method and the influence of noncommutative space on thermodynamic functions is also discussed. We show that the energy spectrum and corresponding thermodynamic functions of the considered physical systems depend explicitly on the noncommutative parameterθwhich characterizes the noncommutativity of the space.

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The Research of a Two-Directional Vector-Valued Quarternary Wavelet Packets and Applications in Material Engineering

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.712-715.2487 ◽

2013 ◽

Vol 712-715 ◽

pp. 2487-2492

Author(s):

Jian Feng Zhou

Keyword(s):

Functional Analysis ◽

Frequency Analysis ◽

Wavelet Packets ◽

Riesz Bases ◽

Sufficient Condition ◽

Subdivision Scheme ◽

Analysis Method ◽

Time Frequency ◽

Dilation Matrix ◽

Vector Valued

In this paper, we introduce a class of vector-valued four-dimensional wavelet packets according to a dilation matrix, which are generalizations of univariate wavelet packets. The defini -tion of biorthogonal vector four-dimensional wavelet packets is provided and their biorthogonality quality is researched by means of time-frequency analysis method, vector subdivision scheme and functional analysis method. Three biorthogonality formulas regarding the wavelet packets are established. Finally, it is shown how to draw new Riesz bases of space from these wavelet packets. The sufficient condition for the existence of four-dimensional wavelet packets is established based on the multiresolution analysis method.

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Experimental investigation on the characteristics of flash evaporation from superheated water jets for desalination

Desalination ◽

10.1016/j.desal.2009.09.136 ◽

2010 ◽

Vol 251 (1-3) ◽

pp. 103-111 ◽

Cited By ~ 47

Author(s):

Sami Mutair ◽

Yasuyuki Ikegami

Keyword(s):

Experimental Investigation ◽

Superheated Water ◽

Flash Evaporation ◽

Water Jets

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The Traits of Nontensor Five-Variant Wavelet Packs and Applications in Management Science and Materials Science

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.461.868 ◽

2012 ◽

Vol 461 ◽

pp. 868-871 ◽

Cited By ~ 1

Author(s):

Qing Ge Zhang

Keyword(s):

Functional Analysis ◽

Materials Science ◽

Constructive Method ◽

Sufficient Condition ◽

Analysis Method ◽

Orthogonal Wavelet ◽

Science And Engineering ◽

Interdisciplinary Field ◽

Novel Approach ◽

Generalized Multiresolution Analysis

Materials science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. In this article, the notion of orthogonal nonseparable five-variant wavelet packages is presented. A novel approach for constructing them is presented by iteration method and functional analysis method. A feasible approach for constructing two-directional orthogonal wavelet packs is developed. The orthogonality property of five-variant wavelet packs is discussed. Three orthogonality formulas concerning these wavelet packs are estabished. A constructive method for affine frames of is proposed. The sufficient condition for the existence of a class of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis.

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