Lateral protocerebral interneurons (LPIs) in the central olfactory pathway of the freshwater crayfish Procambarus clarkii reside within the lateral protocerebrum and receive direct input from projection neurons of the olfactory midbrain. The LPIs exhibit periodic (0.5 Hz) changes in membrane potential that are imposed on them synaptically. Acute surgical experiments indicate that the synaptic a...

human brucellosis is a major health problem in developing countries. a number of patients with human brucellosis do not recover from the acute stage of the disease and pass into the chronic form. since the pathophysiology of this change is not well understood, we studied the t-cell subsets during the acute, subacute and chronic forms of human brucellosis. in this study we found alterations in t...

In this paper, our purpose is twofold. Firstly, the tensor andresiduum operations on $L-$nested systems are introduced under thecondition of complete residuated lattice. Then we show that$L-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. Thus the new representation theorem of$L-$subsets on complete re...

In this paper, we construct two fuzzy sets using the notions of level subsets and strong level subsets of a given fuzzy set in a ring R. These fuzzy sets turn out to be identical and provide a universal construction of a fuzzy ideal generated by a given fuzzy set in a ring. Using this construction and employing the technique of strong level subsets, we provide the shortest and direct fuzzy set ...

The classical Mountain Pass Lemma of Ambrosetti-Rabinowitz has been studied, extended and modified in several directions. Notable examples would certainly include the generalization to locally Lipschitz functionals by K. C. Chang, analyzing structure critical set mountain pass theorem works Hofer, Pucci-Serrin Tian, extension Ghoussoub-Preiss closed subsets a Banach space with recent variations...

The paper is devoted to the study of topologies on the group Aut(X, B) of all Borel automorphisms of a standard Borel space (X, B). Several topologies are introduced and all possible relations between them are found. One of these topologies, τ , is a direct analogue of the uniform topology widely used in ergodic theory. We consider the most natural subsets of Aut(X, B) and find their closures. ...

A finite abelian group G is said to have the Hajós-k-property (k>1) if from any decomposition of into a direct product of its subsets, it follows that one of these subsets is periodic, meaning that there exists a nonidentity element g in G such that gAi = Ai. Using some properties of the cyclotomic polynomials, we will show that the cyclic groups of orders p and groups of type (p, q), where p a...

It is well known that the points of a square lattice may be partitioned into two square subsets, related by a translation, but that the same is not true for triangular lattices. This allows a certain kind of anti-ferromagnetic order in tetragonal crystals which is not possible for hexagonal crystals. One often encounters similar situations in which a set of lattice points is to be partitioned i...

We address the problem of scheduling a set of generic tasks to be performed in nitely often without preemption on nitely many parallel processors. These tasks are subject to a set of uniform constraints, modeled by a uniform graph G. The problem is to nd a periodic schedule that minimizes the cycle time. Although the problem is NPhard, we show that the special case where G is a circuit can be s...

We consider a network of identical pulse-coupled oscillators with delay and all-to-all coupling. We demonstrate that the discontinuous nature of the dynamics induces the appearance of isochronous regions-subsets of the phase space filled with periodic orbits having the same period. For each fixed value of the network parameters, such an isochronous region corresponds to a subset of initial stat...