Drosophilaserotonergic varicosities are not distributed in a regular manner

Drosophila serotonergic varicosities are not distributed in a regular manner.

Neurons of the brain form complex tree-like structures that are critical for function. Here we examine the spatial pattern of serotonergic varicosities, the synaptic sites of serotonin release in the central nervous system (CNS). These varicosities are thought to form largely nonjunctional-type connections that partition in a grid-like manner in order to distribute evenly the neuromodulatory ne...

Regular Neighborhoods Are Not Topologically Invariant

Regular g - measures are not always Gibbsian

Regular g-measures are discrete-time processes determined by conditional expectations with respect to the past. One-dimensional Gibbs measures, on the other hand, are fields determined by simultaneous conditioning on past and future. For the Markovian and exponentially continuous cases both theories are known to be equivalent. Its equivalence for more general cases was an open problem. We prese...

Regular Codes Are Not Asymptotically Good

In this note, we prove that the family of regular codes is not asymptotically good. The notation follows that in [2]. All codes considered are binary linear codes. H7 refers to the [7, 4] binary Hamming code. Definition 1. A binary linear code is regular iff it does not contain as a minor any code equivalent to H7 or H 7 . It follows from the theorem that the family of regular codes, which we w...

Rings in which elements are the sum of an‎ ‎idempotent and a regular element

Let R be an associative ring with unity. An element a in R is said to be r-clean if a = e+r, where e is an idempotent and r is a regular (von Neumann) element in R. If every element of R is r-clean, then R is called an r-clean ring. In this paper, we prove that the concepts of clean ring and r-clean ring are equivalent for abelian rings. Further we prove that if 0 and 1 are the only idempotents...