Thin films of binary Bi 0 -TeO and Bi 0 -V 0 systems were prepared by the thermal co-evaporation technique in a vacuum at room temperature. The optical absorption edge of these systems are studied in the wavelength of 200-800 nm using a PERKIN-ELMER uv/Vis spectrophotometer. It is found that the value of n=3/2 in the Davis-Mott equation is best fitted for the fundamental absorption edge f...

In the late eighteenth century both Euler and Legendre noticed that n +n+41 is prime for n = 0, 1, 2 . . . 39, and remarked that there are few polynomials with such small degree and coefficients that give such a long string of consecutive prime values. Rabinowitsch, at the 1912 International Congress of Mathematicians [18], showed that n + n + A is prime for n = 0, 1, 2, . . . A − 2 if and only...

The Orion Kleinmann-Low nebula (Orion KL) is notoriously complex and exhibits a range of physical chemical components. We conducted high angular resolution (sub-arcsecond) observations $^13$CH$_{3}$OH $\nu=0$ ($\sim$0.3$^{\prime\prime}$ $\sim$0.7$^{\prime\prime}$) CH$_3$CN $\nu_8=1$ ($\sim$0.2$^{\prime\prime}$ $\sim$0.9$^{\prime\prime}$) line emission with the Atacama Large Millimeter/submillim...

We prove new irrationality measures with restricted denominators of the form dbνmcB m (where B,m ∈ N, ν > 0, s ∈ {0, 1} and dm = lcm{1, 2, . . . , m}) for values of the logarithm at certain rational numbers r > 0. In particular, we show that such an irrationality measure of log(r) is arbitrarily close to 1 provided r is sufficiently close to 1. This implies certain results on the number of non-...

Let $G= (V,E)$ be a $(p,q)$-graph. A bijection $f: Eto{1,2,3,ldots,q }$ is called an edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^+(u),f^+(v))=1$ where $f^+(u) = sum_{uwin E} f(uw)$. Moreover, a bijection $f: Eto{1,2,3,ldots,q }$ is called a semi-edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^+(u),f^+(v))=1$ or $f^+(u)=f^+(v)$. A graph that admits an  ...

in this paper, we introduce and study the prime, strongly prime,semiprime and irreducible fuzzy bi-ideals of a semigroup. we characterize thosesemigroups for which each fuzzy bi-ideal is semiprime. we also characterizethose semigroups for which each fuzzy bi-ideal is strongly prime.

let $g $ be a finite group and let $gamma(g)$ be the prime graph‎ ‎of g‎. ‎assume $2 < q = p^{alpha} < 100$‎. ‎we determine finite groups‎ ‎g such that $gamma(g) = gamma(u_3(q))$ and prove that if $q neq‎ ‎3‎, ‎5‎, ‎9‎, ‎17$‎, ‎then $u_3(q)$ is quasirecognizable by prime graph‎, ‎i.e‎. ‎if $g$ is a finite group with the same prime graph as the‎ ‎finite simple group $u_3(q)$‎, ‎then $g$ has a un...

Abstract Very recently, the LHCb Collaboration observed distinct structures with $$cc{\bar{c}}{\bar{c}}$$ c ¯ in $$J/\Psi $$ J / Ψ -pair mass spectrum. In this work, we construct four scalar ( $...

Let R be a commutative ring with identity and M be a unitary R-module. Let : S(M) −! S(M) [ {;} be a function, where S(M) is the set of submodules ofM. Suppose n 2 is a positive integer. A proper submodule P of M is called(n − 1, n) − -prime, if whenever a1, . . . , an−1 2 R and x 2 M and a1 . . . an−1x 2P(P), then there exists i 2 {1, . . . , n − 1} such that a1 . . . ai−1ai+1 . . . an−1x 2 P...

Let $G$ be a locally compact abelian metric group with Haar measure $\lambda $ and $\hat{G}$ its dual $\mu ,$ ( G) is finite. Assume that$~1<p_{i}<\infty $, $p_{i}^{\prime }=\frac{ p_{i}}{p_{i}-1}$, $( i=1,2,3) $\theta \geq 0$. L^{(p_{i}^{\prime },\theta }( small Lebesgue spaces. A bounded measurable function $m( \xi ,\eta ) defined on $\hat{G}\times \hat{G}$ said to bilinear multiplier of type...