Necessary conditions for  shearlet  and cone-adapted shearlet systems to be frames are presented with respect to the admissibility condition of generators.

§13.1 The Forensic Sciences §13.2 The Admissibility of Forensics-Only Science §13.2.1 “General Acceptance” in Forensic Science Should Not Be a Sufficient Condition for Admissibility §13.2.2 “General Acceptance” in Forensic Science Should Not Be a Necessary Condition for Admissibility §13.3 Trace Evidence and Identification §13.3.1 Matches, Non-Matches, and Hypotheses §13.3.2 Exclusions §13.3.3 ...

We study admissibility conditions for the parameters of degenerate cyclotomic BMW algebras. We show that the u–admissibility condition of Ariki, Mathas and Rui is equivalent to a simple module theoretic condition.

We investigate the computational complexity of deciding whether a given inference rule is admissible for some modal and superintuitionistic logics. We state a broad condition under which the admissibility problem is coNEXP -hard. We also show that admissibility in several well-known systems (including GL, S4, and IPC ) is in coNE , thus obtaining a sharp complexity estimate for admissibility in...

in this paper, we give a necessary condition for function in l^2with its dual to generate a dual shearlet tight frame with respect to admissibility.

We give a sufficient condition for the admissibility of generalized Bayes estimators of the location vector of spherically symmetric distribution under squared error loss. Compared to the known results for the multivariate normal case, our sufficient condition is very tight and is close to being necessary. In particular we establish the admissibility of generalized Bayes estimators with respect...

In This paper, we give a necessary condition for function in $L^2$ with its dual to generate a dual shearlet tight frame with respect to admissibility.