Results 111 to 120 of about 273,195 (168)
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2009
We consider a straight homogeneous metal rod of length l, cross-section S, and density ρ. We choose the axis x along the rod, and let x = 0 be the left end of the rod, so that x = l is its right end. Denote by u(x,t) the temperature of the rod at a point x at the moment t > 0. We assume that the cross-section is small, so that u depends only on x.
Alexander Komech, Andrew Komech
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We consider a straight homogeneous metal rod of length l, cross-section S, and density ρ. We choose the axis x along the rod, and let x = 0 be the left end of the rod, so that x = l is its right end. Denote by u(x,t) the temperature of the rod at a point x at the moment t > 0. We assume that the cross-section is small, so that u depends only on x.
Alexander Komech, Andrew Komech
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New methods for Fourier analysis and Fourier synthesis
IEEE Signal Processing Letters, 1999A basic and important relation between square wave and sine-cosine function is presented. This relation leads to completely new methods for Fourier analysis and Fourier synthesis.
null Yuchuan Wei +2 more
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1986
Fourier analysis is based on the idea that a function defined on a finite interval can be expanded in a series of cosine or sine functions. In the context of numerical simulation of the shallow water equations, Fourier analysis is used to study the ability of various numerical schemes to accurately simulate waves of different wave lengths.
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Fourier analysis is based on the idea that a function defined on a finite interval can be expanded in a series of cosine or sine functions. In the context of numerical simulation of the shallow water equations, Fourier analysis is used to study the ability of various numerical schemes to accurately simulate waves of different wave lengths.
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2001
The purpose of this chapter is to study the frequency content of data recorded as a function of time and which includes repetitive events. It will be shown that such data can be considered as being composed of a number of sinusoidal functions and an approximation function consisting of such may be fitted using least-squares.
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The purpose of this chapter is to study the frequency content of data recorded as a function of time and which includes repetitive events. It will be shown that such data can be considered as being composed of a number of sinusoidal functions and an approximation function consisting of such may be fitted using least-squares.
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1993
A survey of the basic features of the Fourier method for a grid represention of quantum mechanical wavefunctions is presented. The intention is to gain insight into the connection between the mathematical foundations and the physical applications.
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A survey of the basic features of the Fourier method for a grid represention of quantum mechanical wavefunctions is presented. The intention is to gain insight into the connection between the mathematical foundations and the physical applications.
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2014
This chapter describes the use of Fourier transform spectrometers (FTS) for accurate spectrophotometry over a wide spectral range. After a brief exposition of the basic concepts of FTS operation, we discuss instrument designs and their advantages and disadvantages relative to dispersive spectrometers.
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This chapter describes the use of Fourier transform spectrometers (FTS) for accurate spectrophotometry over a wide spectral range. After a brief exposition of the basic concepts of FTS operation, we discuss instrument designs and their advantages and disadvantages relative to dispersive spectrometers.
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