In this note we characterize the compact weighted Frobenius-Perron operator $p$ on $L^1(Sigma)$ and determine their spectra. We also show that every weakly compact weighted Frobenius-Perron operator on $L^1(Sigma)$ is compact.

In this paper, we consider ultrapowers of Banach algebras as and the product $${{\bigcirc }_{{(J,\mathcal{U})}}}$$ on second dual algebras. For a algebra A, show that if there is continuous derivation from A into itself, then (A**, ) it. Moreover, X**, where X A-bimodule, ultrapower X; i.e., $${{(X)}_{\mathcal{U}}}$$ . Ultra (character) amenability investigated it will be shown every inner, ult...

The human embryonic stem cell line, KthES11, is derived from a normal healthy blastocyst donated for clinical research. inner mass (ICM) was isolated using mechanical dissection and plated on laminin fragments. Cell line derivation, its propagation storage were performed without feeders in an animal product-free environment according to current Good Manufacturing Practice (cGMP) standards. KthE...

We suggest a generalization of nonlinear $\sigma$-model for diffusive superconducting systems to account magnetoelectric effects due spin-orbit scattering. In the leading orders strength and gradient expansion it includes two additional terms responsible spin-Hall effect spin-current swapping. First, assuming delta-correlated disorder we derive new from Keldysh path integral representation gene...

In this work we investigate the population dynamics of cooperative hunting extending the McCann and Yodzis model for a three-species food chain system with a predator, a prey, and a resource species. The new model considers that a given fraction sigma of predators cooperates in prey's hunting, while the rest of the population 1-sigma hunts without cooperation. We use the theory of symbolic dyna...

in this research a three dimensional model is explained which simulate the oil spill behavior inseas. this model is the developed version of previous two-dimensional study of aghajanloo et al., 2013.because of three-dimensional nature of the oil dispersion/movement in water, this is a more realistic model of oil spill transport and fate in marine environment. the model is based on eulerian appr...

six-sigma has some measures which measure performance characteristics related to a process. in most of the traditional methods, exact estimation is used to assess these measures and to utilize them in practice. in this paper, to estimate some of these measures, including defects per million opportunities (dpmo), defects per opportunity (dpo), defects per unit (dpu) and yield, a new algorithm ba...

the rapid scaling in modern cmos technology has motivated the researchers to design new analog-to-digital converter (adc) architectures that can properly work in lower supply voltage. an exchanging the data quantization procedure from the amplitude to the time domain, can be a promising alternative well adapt with the technology scaling. this paper is going to review the recent development in t...