نتایج جستجو برای: fully normalized legendre functions

تعداد نتایج: 747502  

1998
Yves Lucet

This paper describes a numerical implementation in Maple V R. 5 of an algorithm to compute the Legendre–Fenchel conjugate, namely the Linear-time Legendre Transform algorithm. After a brief motivation on the importance of the Legendre–Fenchel transform, we illustrate the information the conjugate gives (how to test for convexity or compacity, and how to smooth a convex function), with several e...

2013
Anatolii Leukhin Oscar Moreno Andrew Z. Tirkel

Single sequences like Legendre have high linear complexity. Known CDMA families of sequences all have low linear complexities. A new method is presented for constructing CDMA sequence sets with the linear complexity of the Legendre sequences, from new frequency hop patterns. Linear complexity is a measure of the robustness of a sequence to cryptographic attack. These are the first families whos...

Journal: :Journal of Approximation Theory 2012
Holger Rauhut Rachel Ward

We consider the problem of recovering polynomials that are sparse with respect to the basis of Legendre polynomials from a small number of random samples. In particular, we show that a Legendre s-sparse polynomial of maximal degree N can be recovered fromm s log(N) random samples that are chosen independently according to the Chebyshev probability measure dν(x) = π−1(1 − x2)−1/2dx. As an effici...

Journal: :Journal of Computational and Applied Mathematics 2000

Journal: :International Journal of Pure and Apllied Mathematics 2016

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