Let $D$ be a finite simple digraph with vertex set $V(D)$ and arcset $A(D)$. A twin signed total Roman dominating function (TSTRDF) on thedigraph $D$ is a function $f:V(D)rightarrow{-1,1,2}$ satisfyingthe conditions that (i) $sum_{xin N^-(v)}f(x)ge 1$ and$sum_{xin N^+(v)}f(x)ge 1$ for each $vin V(D)$, where $N^-(v)$(resp. $N^+(v)$) consists of all in-neighbors (resp.out-neighbors) of $v$, and (...

The main purpose of this article is to offer some characterizations of $delta$-double derivations on rings and algebras. To reach this goal, we prove the following theorem:Let $n > 1$ be an integer and let $mathcal{R}$ be an $n!$-torsion free ring with the identity element $1$. Suppose that there exist two additive mappings $d,delta:Rto R$ such that $$d(x^n) =Sigma^n_{j=1} x^{n-j}d(x)x^{j-1}+Si...

hie-124 is a new member of ultra-short acting hypnotics’ drug family. in this research, the synthesis ofanalogues of hie-124 drug in the heterocyclic thiazole ring replaced to thiadiazole, will be presented.thiadiazolodiazepines during a two-step reaction starting from the amino thiadiazole resultedfrom-various derivatives of benzoic acid and thiosemicarbazide were synthesized. in the first ste...

the isoe lect r i c f ocusing p a t terns and ph activity cur ves of f i ve glycosidas e e nzymes i n blood plasma and ur i ne were s t ud i e d . this s tudy demons trated the presence o f a sing le molecular f onn in a -glucosidase and of two mole cul a r fonns of the enzymes h-a ce t yl-b-d-gluco sarni nidase, na c e t y l -•p-d-g a l a c t o s amin i ua s e and s-glucuronidase i n both plas...

By putting two harmonic oscillator potentials x 2 side by with a separation d, exactly solvable piecewise analytic quantum systems free parameter d > 0 are obtained. Due to the mirror symmetry, their eigenvalues { E} for even and odd parity sectors determined as zeros of certain combinations confluent hypergeometric function [Formula: see text] E, which common V D S but in different branches...

background: the herbicide 2, 4-dichlorophenoxyacetic acid (2, 4-d) can cause moderate to lethal poisoning. although urine alkalization has been recommended as the main treatment, hemodialysis (hd) may be more effective in severe cases. case: on 24th june 2014, a 53- year-old man ingested a high amount of 40% 2, 4-d. he suffered from mouth and epigastric burning sensation, vomiting and nausea. h...

nano-sbcl5.sio2 and sbcl5.sio2 are bench-top catalysts which are reusable, readily available, versatile andefficient for promotion of many acid catalyzed organic reactions. these catalysts do not need specialprecautions for preparation, handling or storage, and they can be stored at an ambient temperature for monthswithout losing their catalytic activity. 4-dihydropyrimidin-2(1h)-ones(thiones) ...