to demonstrate more visibly the close relation between thecontinuity and integrability, a new proof for the banach-zareckitheorem is presented on the basis of the radon-nikodym theoremwhich emphasizes on measure-type properties of the lebesgueintegral. the banach-zarecki theorem says that a real-valuedfunction $f$ is absolutely continuous on a finite closed intervalif and only if it is continuo...

We present an exact treatment of wave propagation in some inhomogeneous thin films with highly spacedependent dielectric constant. It is based on a space transformation which replaces the physical space by the optical path. In the new space, the dispersion equation is that of a normal progressive wave. We will show that the dispersion properties of such films are plasmaor waveguide-like, the ch...

Tunneling without distortion is not a propagation phenomenon but a quasistatic process in which the slowly varying envelope of the input pulse modulates the amplitude of a standing wave in the barrier. Because the envelope has a bandwidth that is small compared to the cutoff frequency of the barrier it does not propagate; it merely stands and waves. The envelope of the reflected and transmitted...

With the recent rediscovery of slowand fast-light effects, there has been much interest in pulse propagation phenomena that lead to apparently superluminal pulse transmission. This raises immediate questions about causality and special relativity violations and elicits curiosity about the physical mechanisms responsible for these effects. This thesis will address these issues theoretically and ...

in this paper, a vector version of the intermediate value theorem is established. the main theorem of this article can be considered as an improvement of the main results have been appeared in [textit{on fixed point theorems for monotone increasing vector valued mappings via scalarizing}, positivity, 19 (2) (2015) 333-340] with containing the uniqueness, convergent of each iteration to the fixe...

We present a boundary control law that stabilizes the Hartman profile for low magnetic Reynolds numbers in an infinite magnetohydrodynamic (MHD) channel flow. The proposed control law achieves stability in the L2 norm of the linearized MHD equations, guaranteeing local stability for the fully nonlinear system. © 2008 Elsevier B.V. All rights reserved.

P53A-1438. [9] Buczkowski D. L. et al. (2008) LPSC #1032. [10] Wray J. J. et al. (2009) LPSC #1896. [11] Pinnavaia T. J. (1983) Science, 220, 365. [12] Lawless J. G., in Clay Minerals and the Origin of Life A. G. Cairns-Smith, H. Hartman, Eds. (Cambridge University Press, 1986) pp. 135-137. 8003.pdf The New Martian Chemistry Workshop (2009)

Using the time parameter in time-dependent Schr\"odinger equation, we study of flight for a particle tunneling through square barrier potential. Comparing mean and variance energy transmitted reflected particles, using both density flux distributions, find that, when accounting momentum filtering, suitably normalized distributions are identical cases. In contrast to previous studies, demonstrat...