In this paper, the perturbation problems of A (2) T,S are considered. By virtue of the gap between subspaces, we derive conditions that make the perturbation of A (2) T,S stable when T, S and A have suitable perturbations. At the same time, explicit formulas for perturbation of A (2) T,S and new results on perturbation bounds are obtained.

Mistrust of science has seeped into public perception of the most fundamental aspect of conservation-extinction. The term ought to be straightforward, and yet, there is a disconnect between scientific discussion and public views. This is not a mere semantic issue, rather one of communication. Within a population dynamics context, we say that a species went locally extinct, later to document its...

Exploitation can modify the characteristics of fish populations through the selective harvesting of individuals, with this potentially leading to rapid ecological and evolutionary changes. Despite the well-known effects of invasive fishes on aquatic ecosystems generally, the potential effects of their selective removal through angling, a strategy commonly used to manage invasive fish, are poorl...

introduction radiotherapy planning systems require many percentage depth dose (pdd) and profile measurements and there are various dosimeters that can be used to obtain these scans. as dose perturbation is particularly troublesome in smaller photon fields, using a low-perturbation, unshielded electron field diode (efd) in these fields is of interest. the aim of this work was to investigate the ...

While address trace analysis is a popular method to evaluate the memory system of computers , getting accurate traces of operating system, multiprogrammed, and parallel workloads in multiprocessors is hard. This is because the true behavior of these real-time loads can be easily altered by the tracing activity. To minimize perturbation, it is usually necessary to use trace-gathering hardware de...

We discuss certain special cases of algebraic approximants that are given as zeroes of so-called effective characteristic polynomials and their generalization to a multiseries setting. These approximants are useful for the convergence acceleration or summation of quantum mechanical perturbation series. Examples will be given and some properties will be discussed.

1 Definition of the subject and its importance Perturbation Theory: Computation of a quantity depending on a parameter ε starting from the knowledge of is value for ε = 0 by deriving a power series expansion in ε, under the assumption of its existence, and if possible discussing the interpretation of the series. Perturbation theory is very often the only way to get a glimpse of the properties o...

the aim of the present work was to investigate the ability of cocopeat to remove of lead (ii) from aqueous solutions. the effects of different parameters such as particle size, adsorbent dosage, ph, contact time, agitation speed and concentration on the removal process has been investigated. the maximum removal of lead ion (92.5%) took place in the ph range of 4 contact time in 30 minutes and i...

surgical removal of impacted third molars is amongst the most common surgical procedures performed by oral and maxillofacial surgeons. every year many articles are published in different journals regarding different aspects in such surgeries. it is necessary to translate such vast amounts of data into simple and easily comprehensible sentences for the students of dentistry and oral surgery. thi...