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2010
Power series expansions are old friends of all workers in the mathematical sciences [4, 5, 10]. This chapter emphasizes special techniques for handling and generating the power series encountered in computational statistics. Most expansions can be phrased in terms of recurrence relations.
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Power series expansions are old friends of all workers in the mathematical sciences [4, 5, 10]. This chapter emphasizes special techniques for handling and generating the power series encountered in computational statistics. Most expansions can be phrased in terms of recurrence relations.
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Two remarkable q-series expansions
The Ramanujan Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2014
In Chap. 1, it was shown, mostly by using graphics, that various waves can be expressed by a summation of sine and cosine functions, i.e., by the Fourier series (see Eq. 1.5). In this chapter, first, a method of determining coefficients of Fourier series will be given. A key idea is the integral of the products of sine and cosine functions.
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In Chap. 1, it was shown, mostly by using graphics, that various waves can be expressed by a summation of sine and cosine functions, i.e., by the Fourier series (see Eq. 1.5). In this chapter, first, a method of determining coefficients of Fourier series will be given. A key idea is the integral of the products of sine and cosine functions.
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1999
Series-expansion methods that are potentially useful in geophysical fluid dynamics include the spectral, pseudospectral, finite-element, and discontinuous Galerkin methods. The spectral method plays a particularly important role in global atmospheric models, in which the horizontal structure of the numerical solution is often represented as a truncated
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Series-expansion methods that are potentially useful in geophysical fluid dynamics include the spectral, pseudospectral, finite-element, and discontinuous Galerkin methods. The spectral method plays a particularly important role in global atmospheric models, in which the horizontal structure of the numerical solution is often represented as a truncated
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LPV Series-Expansion Representations
2010In this chapter, series-expansion representations of LPV systems for a given IO partition are developed using the framework of the behavioral approach. In fact, expansion of DT asymptotically stable LPV systems is considered in terms of OBFs and the connection between this type of expansion and the gain-scheduling principle is explored.
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