Results 231 to 240 of about 430,568 (269)
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Simultaneous Diophantine Approximation Using Primes
Bulletin of the London Mathematical Society, 1988The authors consider k-tuples of reals \((\alpha_ 1,...,\alpha_ k)\) which satisfy the compatibility condition: If \(h_ i\in {\mathbb{Z}}\) for \(1\leq i\leq k\) and \(\sum^{k}_{i=1}h_ i\alpha_ i\in {\mathbb{Q}}\) then \(\sum^{k}_{i=1}h_ i\alpha_ i\in {\mathbb{Z}}\).
Balog, A., Friedlander, J.
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Robust Simultaneous Sparse Approximation
2015This chapter considers sparse underdetermined (ill-posed) multivariate multiple linear regression model known in signal processing literature as multiple measurement vector (MMV) model. The objective is to find good recovery of jointly sparse unknown signal vectors from the given multiple measurement vectors which are different linear combinations of ...
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Simultaneous Approximation in Positive Characteristic
Monatshefte f�r Mathematik, 2000The authors generalise Diophantine approximation results of Voloch and de Mathan in positive characteristic to higher dimensions. Let \(k\) be field of characteristic \(p>0\) and put \(R=k[X]\), \(K=k(X)\), \({\mathcal K}=k((X^{-1}))\). We endow \({\mathcal K}\) with a non-archimedean absolute value \(|\cdot |\), such that for \(\alpha =\sum_{n=t ...
Caulk, Stephen, Schmidt, Wolfgang M.
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L∞ norm simultaneous system approximation
International Journal of Robust and Nonlinear Control, 1996In this paper the L∞ norm optimal simultaneous system approximation problem is studied. Various LMI based approaches to solve the simultaneous L∞ norm system approximation problem are developed. Computational schemes based on LMI based optimization techniques are derived. Examples are given to illustrate the results.
Davut Kavranoğlu +2 more
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Simultaneous Diophantine Approximation To Series
Journal of the London Mathematical Society, 1959Es sei \(\mathfrak K\) die Menge aller formalen Laurentreihen \(x = \alpha_d z^d + \alpha_{d-1}z^{d-1}+ \ldots\) mit Koeffizienten aus einem Körper \(\mathfrak k\). Es werde ferner \(\mathfrak T = \mathfrak k [z]\) und \(\mathfrak R = \mathfrak k(z)\) gesetzt.
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Simultane diophantische Approximation
2012Es werden primär die simultanen Approximationseigenschaften spezieller (insbesondere gut approximierbarer) reeller Zahlen in Hinblick auf klassiche Approximationskonstanten untersucht.
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Best Simultaneous Approximation
1984Publisher Summary This chapter considers (F, e· e) as a nontrivial nonarchimedean valued division ring and (E, ee· ee) is a nonzero nonarchimedean normed space over (F, e· e). The chapter discusses a problem that in the nonarchimedean case has a very simple solution: when M ≠ {O}, there is no uniqueness.
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Simultaneous Trigonometric Approximation
Journal of Mathematics and Physics, 1952Steinberg, R., Redheffer, R. M.
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An epidermal patch for the simultaneous monitoring of haemodynamic and metabolic biomarkers
Nature Biomedical Engineering, 2021Juliane R Sempionatto +2 more
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