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13 Oct 2017: Foucart and H. Rauhut. A Mathematical Introduction to Compressive Sensing. SpringerScienceBusiness Media, New York, 2013. ... Adam Hilger, Bristol and New York, 1990. [48] C. Shannon. A mathematical theory of communication.

13 Oct 2017: To form an orthonormalbasis, we simply apply a Gram-Schmidt procedure. The new functions, after the orthonormalisation, aredenoted by φleftn ,φ. ... Hansen, C. Poon, and B. Roman. Breaking the coherence barrier: A new theory for compressed sensing.

15 Feb 2017: 1 IntroductionThis paper is about the practical implementation of a new algorithm to approximate the eigenvalues andeigenfunctions {(λj,yλj)}jZ0 of regular Sturm–Liouville problems in Liouville’s normal form. ... At the heart of this advancement,

11 Jan 2017: Department of Applied Mathematics and Mathematical Physics, University of Cambridge,Wilberforce Road, Cambridge CB3 0WA, UK (a.iserles@damtp.cam.ac.uk)†School of Mathematics and Statistics, University of New South ... 4. Discussion. Master equations

3 Oct 2017: 2. 〈f〉0 = f; and. 3. 〈1〉2 = 2x. With this new notation in place and using (2.6), we can now simplify commutatorsto anti-commutators,. ... B̃j(h,ζ) = hjBj (ζ/h). 2.7 Fourth order commutator-free Magnus expansions. With this new notation in place

13 Feb 2017: Firstly, it is possible to manipulate and control particlesby a judicious use of short-burst laser pulses (Kosloff, Rice, Gaspard, Tersigni & Tan-nor 1998, Shapiro & Brumer 2003) and, secondly, a new ... n at thecost of O. (n2). operations – less if