The intramolecular tunneling of hydrogen atom in formic acid HCOOH at low temperatures is considered based on literature experimental data on C-O internal rotation. The energetic and geometric parameters as well as vibrational frequencies for formic acid in cis and trans configurations surrounded by 12 Ar atoms are calculated in the frame of the MP2 approach with extended basis sets. The temper...

Consider a random matrix whose variance profile is random. This random matrix is ergodic in one channel realization if, for each column and row, the empirical distribution of the squared magnitudes of elements therein converges to a nonrandom distribution. In this paper, noncrossing partition theory is employed to derive expressions for several asymptotic eigenvalue moments (AEM) related quanti...

Let H be an m × n real matrix and let Zi be the set of column indices of the zero entries of row i of H. Then the conditions |Zk ∩ ∪k−1 i 1 Zi | ≤ 1 for all k 2 ≤ k ≤ m are called the row Zero Position Conditions ZPCs . If H satisfies the ZPC, then H is said to be a row ZPC matrix. If H satisfies the ZPC, thenH is said to be a column ZPCmatrix. The real matrixH is said to have a zero cycle if H...

Suppose m and n are integers such that 1 m n, and H is a subgroup of the symmetric group S m of degree m. Deene the generalized matrix function associated with the principal character of the group H on an m m matrix B = (b ij) by d H (B) = X 2H m Y j=1 b j(j) ; and deene the generalized numerical range of an n n matrix A associated with d H by It is known that W H (A) is convex if m = 1 or if m...

the purpose of the present study is to introduce the sequence space[{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},]where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. the topological properties and inclusion relations of this space are studied. moreover, the prob...

let $rin textbf{c}^{mtimes m}$ and $sin textbf{c}^{ntimes n}$ be nontrivial involution matrices; i.e., $r=r^{-1}neq pm~i$ and $s=s^{-1}neq pm~i$. an $mtimes n$ complex matrix $a$ is said to be an $(r, s)$-symmetric ($(r, s)$-skew symmetric) matrix if $ras =a$ ($ ras =-a$). the $(r, s)$-symmetric and $(r, s)$-skew symmetric matrices have a number of special properties and widely used in engi...

in the present investigation an attempt has been made to increase therapeutic efficacy, to reduce frequency of administration and to improve patient compliance by developing a sustained release matrix tablets of isosorbide-5-mononitrate. sustained release matrix tablets of isosorbide-5-mononitrate were developed by using different drug: polymer ratios, such in f1 (1:0.75), f2 (1:1), f3 (1:1.5),...

   Repeated oral administration of mexazolam, an anti-anxiety agent, may cause adverse effects such as gastric disturbance, drowsiness, and ataxia due to transiently high blood levels. Transdermal administration would avoid the systemic side effects and gastric disorders after oral administration. We have developed a matrix using ethylene-vinyl acetate (EVA), a heat-processible and flexible mat...

for 12386 A Comparison Theorem of the Improving Gauss-Seidel method for H-matrix and its Comparison Matrix Authors: liying Sun, xingye xu Affiliations: Math Dept.of Guangdong Education Institute, Math Dept. of Guangdong Education Institute