‎‎Let $R$ be a commutative ring with identity and let $M$ be an $R$-module‎. ‎We define the primary spectrum of $M$‎, ‎denoted by $mathcal{PS}(M)$‎, ‎to be the set of all primary submodules $Q$ of $M$ such that $(operatorname{rad}Q:M)=sqrt{(Q:M)}$‎. ‎In this paper‎, ‎we topologize $mathcal{PS}(M)$ with a topology having the Zariski topology on the prime spectrum $operatorname{Spec}(M)$ as a sub...

BACKGROUND Outcomes studies use patient-reported outcome (PRO) measurements to assess treatment effectiveness, but can lack direct clinical meaning. Minimum clinically important difference (MCID) calculation provides a point estimate of the critical threshold needed to achieve clinically relevant treatment effectiveness. MCID remains uninvestigated for microvascular decompression (MVD), a commo...

In this paper, the concept of countably near PS-compactness inL-topological spaces is introduced, where L is a completely distributive latticewith an order-reversing involution. Countably near PS-compactness is definedfor arbitrary L-subsets and some of its fundamental properties are studied.

abstract seizure disorders are the most common neurological illnesses in infants and children. presented is an 8 year old boy with nocturnal vomiting episodes, found to have eeg characteristics of early onset benign occipital epilepsy, better known as panayiotopoulos syndrome.

The lifetime of the Λ–hyperon in heavy hypernuclei – as measured by the COSY–13 Collaboration in proton – Au, Bi and U collisions at COSY–Jülich – has been analyzed to yield τΛ = (145 ± 11) ps. This value for τΛ is compatible with the lifetime extracted from antiproton annihilation on Bi and U targets, however, much more accurate. Theoretical models based on the meson exchange picture and assum...

We present a parallel machine, based on programmable devices, dedicated to simulate spin glass models with Z2 variables and short range interaction. A working prototype is described for two lattices containing 312 × 312 spins each with an update time of 50 ns per spin. The final version of the three dimensional parallel machine is discussed with spin update time up to 312 ps.

A series of pyridine ether PPAR agonists were synthesized through an ADDP and PS-PPh3 modified Mitsunobu protocol, which eliminated significant by-product formation. This method proved to be versatile, efficient and amenable to parallel synthesis.