Results 41 to 50 of about 463,737 (318)
Characterizing quasi-biweekly variability of the Asian monsoon anticyclone using potential vorticity and large-scale geopotential height field [PDF]
The spatial pattern of subseasonal variability of the Asian monsoon anticyclone is analyzed using long-term reanalysis data, focusing on the large-scale longitudinal movement.
A. Amemiya, K. Sato
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Computational Optimal Impact Angle Control Guidance Laws Weighted by Arbitrary Functions
This paper presents a computational impact angle control guidance law based on the energy cost weighted by arbitrary functions in order to shape the acceleration command as desired.
Qi Chen, Jinguang Shi, Zhongyuan Wang
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On conjectures of Stenger in the theory of orthogonal polynomials
The conjectures in the title deal with the zeros xj $x_{j}$, j=1,2,…,n $j=1,2, \ldots ,n$, of an orthogonal polynomial of degree n>1 $n>1$ relative to a nonnegative weight function w on an interval [a,b] $[a,b]$ and with the respective elementary ...
Walter Gautschi, Ernst Hairer
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Bijective proofs of skew Schur polynomial factorizations
In a recent paper, Ayyer and Behrend present for a wide class of partitions factorizations of Schur polynomials with an even number of variables where half of the variables are the reciprocals of the others into symplectic and/or orthogonal group ...
Ayyer, Arvind, Fischer, Ilse
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Functions with Given Moments and Weight Functions for Orthogonal Polynomials
The author gives a constructive technique to find smooth functions with given moments. Earlier in the well-known moment problem it was guaranteed that for every sequence of complex numbers there is a function of bounded variation with the given moments in these numbers. The author shows how these weight functions are found.
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Orthogonal Polynomials and Expansions for a Family of Weight Functions in Two Variables [PDF]
Orthogonal polynomials for a family of weight functions on $[-1,1]^2$, $$ \CW_{\a,\b,\g}(x,y) = |x+y|^{2\a+1} |x-y|^{2\b+1} (1-x^2)^\g(1-y^2)^{\g}, $$ are studied and shown to be related to the Koornwinder polynomials defined on the region bounded by two lines and a parabola. In the case of $\g = \pm 1/2$, an explicit basis of orthogonal polynomials is
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Cosine-modulated filter banks play a major role in digital signal processing. Sparse FIR filter banks have lower implementation complexity than full filter banks, while keeping a good performance level.
Wei Xu +4 more
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In this paper, a novel and simple statistical prediction model for sea surface multivariate is developed based on extended empirical orthogonal functions (referred to as the MEEOF model).
Qi Shao +9 more
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On the representation of functions by orthogonal series in weighted $L^p$ spaces [PDF]
Summary: It is proved that if \(\{\varphi_n\}\) is a complete orthonormal system of bounded functions and \(\varepsilon>0\), then there exists a measurable set \(E\subset [0,1]\) with measure \(| E|>1-\varepsilon\), a measurable function \(\mu(x)\), \(0< \mu(x)\leq 1\), \(\mu(x)\equiv 1\) on \(E\), and a series of the form \(\sum^\infty_{k=1} c_k ...
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Superharmonic Perturbations of a Gaussian Measure, Equilibrium Measures and Orthogonal Polynomials
This work concerns superharmonic perturbations of a Gaussian measure given by a special class of positive weights in the complex plane of the form $w(z) = \exp(-|z|^2 + U^{\mu}(z))$, where $U^{\mu}(z)$ is the logarithmic potential of a compactly ...
Balogh, F., Harnad, J.
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