The restricted isometry property (RIP) has become well-known in the compressed sensing community. Recently, a weaken version of RIP was proposed for exact sparse recovery under weak moment assumptions. In this note, we prove that the weaken RIP is also sufficient for stable and robust sparse recovery by linking it with a recently introduced robust width property in compressed sensing. Moreover,...

[a] If not exactly “right”, work like McWhorter (2001a) touches upon something noteworthy. [b] Even if we only go so far as to say creoles are “locally simple” (Plag 2008:117), we’re still dealing with something pretty important. [c] Even if we weaken the claim further to limit it to “canonical” creoles, it’s still something to take note of. [2]The current state of the evidence suggests, in fac...

This article is about erroneous attempts to weaken the standard definition of unbounded Kasparov module (or spectral triple). This issue has been addressed previously, but here we present concrete counterexamples to claims in the literature that Fredholm modules can be obtained from these weaker variations of spectral triple. Our counterexamples are constructed using self-adjoint extensions of ...

A design algorithm is derived, for a calculating minimum allowable electrical clearances in alternating and direct current “permissible” equipments, which are authorized to operate in gassy mines and tunnels under Part 18 of Title 30, Code of Federal Regulations [1]. The calculated clearances apply to operations at altitudes ranging up to 12 000 ft (3658 m) above sea level. The minimum allowabl...

RNA modifications are ubiquitous in biology, with over 100 distinct modifications. While the vast majority were identified and characterized on abundant noncoding RNA such as tRNA and rRNA, the advent of sensitive sequencing-based approaches has led to the discovery of extensive and regulated modification of eukaryotic messenger RNAs as well. The two most abundant mRNA modifications—pseudouridi...

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