The paper deals with the generalized Drazin invertibility of combinations of idempotents p, q in a Banach algebra. It proves the equivalence of the generalized Drazin invertibility of p−q and p+q, as well as the equivalence of the generalized Drazin invertibility of the commutator pq − qp and anticommutator pq + qp of p, q. It extends several results of J. Math. Anal. Appl. 359 (2009) 731–738, ...

Homogeneous and non-homogeneous Lizorkin-Triebel spaces with generalized smoothness ?F ?(.)pq (Rn) F?(.)pq have been considered. In particular, under some assumptions of the function ?(t): R+ ? R+,?(1) = 1 determining properties, discretization procedure is realized relationship established between these on Rn their discrete analogues.

Let p, q be distinct primes satisfying gcd(p−1, q−1) = d and letDi, i = 0, 1, · · · , d−1, be Whiteman’s generalized cyclotomic classes with Z∗ pq = ∪ d−1 i=0Di. In this paper, we give the values of Gauss periods based on the generalized cyclotomic sets D∗ 0 = ∑ d 2 −1 i=0 D2i and D ∗ 1 = ∑ d 2 −1 i=0 D2i+1. As an application, we determine a lower bound on the 2-adic complexity of modified Jaco...

Binary sequences which have low autocorrelation values have important applications in communication systems and cryptography. In this paper, the autocorrelation values of the third class binary Whiteman generalized cyclotomic sequences of order six and period pq are discussed completely. Our result shows that the autocorrelation of these sequences is four-valued and that the corresponding value...

Background: Paraquat (PQ), an herbicide, is a very poisonous compound for both humans and animals. This study was conducted to examine the protective effect of the Coenzyme Q10 (CoQ10) in newborn rats from pregnant rats pre-treated with PQ. Methods: The experiments were conducted on 25 rats, divided in five groups randomly and equally: 1 - Control Group received normal saline (0.1ml/day); 2...

edaravone, an antioxidant and radical scavenger, showed protective effects against oxidative stress-like condition. paraquat (pq) is a toxic herbicide considerable evidence suggests that oxidative stress and mitochondrial dysfunction contribute to pq toxicity. in this study, protective effect of edaravone against pq induced toxicity and reactive oxygen species (ros) generation in a549 cells and...

This paper presents an elementary proof of the HannenhalliPevzner theorem on the reversal distance of two signed permutations. It uses a single PQ-tree to encode the various features of a permutation. The parameters called hurdles and fortress are replaced by a single one, whose value is computed by a simple and efficient algorithm.

A set S is convex if for every pair of points P, Q~S, the line segment PQ is contained in S, This definition can be generalized in various ways. One class of generalizations makes use of k-tuples, rather than pairs, of points-for example, Valentine's property P3: For every triple of points P, Q, R of S, at least one of the line segments PQ, QR, or RP is contained in S. It can be shown that if a...

We consider two data-structuring problems which involve performing priority queue (pq) operations on a set of integers in the range 0 . . 2 − 1 on a unit-cost RAM with word size w bits. A monotone min-PQ has the property that the minimum value stored in the pq is a non-decreasing function of time. We give a monotone minpq that, starting with an empty set, processes a sequence of n insert and de...