We show that RIP frames, tight frames satisfying the restricted isometry property, give rise to nearly tight fusion frames which are nearly orthogonal and hence are nearly equi-isoclinic. We also show how to replace parts of the RIP frame with orthonormal sets while maintaining the restricted isometry property.

Abstract We consider approximating analytic functions on the interval $$[-1,1]$$ [ - 1 , ] from their values at a set of $$m+1$$ m + equispaced nodes. A result Platte, Trefethen & K...

The molar absorption coefficient, epsilon, of a protein is usually based on concentrations measured by dry weight, nitrogen, or amino acid analysis. The studies reported here suggest that the Edelhoch method is the best method for measuring epsilon for a protein. (This method is described by Gill and von Hippel [1989, Anal Biochem 182:319-326] and is based on data from Edelhoch [1967, Biochemis...

The expression of Fc epsilon R on human lymphocytes was studied with the anti-Fc epsilon R mAbs. Fc epsilon R was expressed on most mu+,delta+ circulating B cells, whereas T cells did not express Fc epsilon R even in patients with hyper-IgE syndrome. B cells with gamma, alpha, or epsilon phenotype did not express Fc epsilon R, moreover its expression could not be induced, suggesting that the Fc...

We construct a decomposition of the identity operator on the sphere S as a sum of smooth orthogonal projections subordinate to an open cover of S. We give applications of our main result in the study of function spaces and Parseval frames on the sphere.

This paper proposes that the identification of constituents, which is the core problem in grammar induction, can be accomplished by a simple constituency criterion in linguistics: a word/tag sequence which can occur as a fragment is a constituent. Experiment results show that grammar induction by distributional clustering augmented with this criterion achieves good PARSEVAL scores and improves ...

We study the field theories for pinned elastic systems at equilibrium and at depinning. Their beta functions differ to two loops by novel "anomalous" terms. At equilibrium we find a roughness zeta = 0.208 298 04 epsilon + 0.006 858 epsilon(2) (random bond), zeta = epsilon/3 (random field). At depinning we prove two-loop renormalizability and that random field attracts shorter range disorder. We...