A new three-dimensional integral containing f(x,y,z)Iv(x?) is derived where Iv(x?) the Modified Bessel Function of first kind and taken over infinite cubic space 0<x<?,0<y<?,0<z<?. The not easily evaluated for complex ranges parameters. representation in terms Hurwitz–Lerch zeta function, polylogarithm function Riemann functions are evaluated. This yields triple representation...

Null shells are a useful geometric construction to study the propagation of infinitesimally thin concentrations massless particles or impulsive waves. After recalling necessary and sufficient conditions obtained in [28] that allow for matching two spacetimes with null embedded hypersurfaces as boundaries, we will address problem across Killing horizons zero order case when symmetry generators b...

A long-standing problem in developmental biology, closely associated with pattern formation, is how continuous morphogen gradients are translated into sharp response borders that define clearcut territories in which cells express different sets of genes. To understand how gradients can generate thresholds, several mechanisms have been investigated over the years. Initially, most of these studie...

The minimization of convex functions which are only available through partial and noisy information is a key methodological problem in many disciplines. In this paper we consider convex optimization with noisy zero-th order information, that is noisy function evaluations at any desired point. We focus on problems with high degrees of smoothness, such as logistic regression. We show that as oppo...

A structure theorem is proved about separable zero-dimensional spaces which are continuous images of ordered compacta and it is shown that not all spaces in this class are orderable themselves.

A discrete-time model is proposed for continuous-time repetitive process. Model is calculated based on the zero order hold on input approach and trapezoidal approximation of output signal on input to the state equation. Numerical examples are presented. Copyright © 2005 IFAC

a Center for Natural and Technological Hazards and Department of Geography, University of Utah, Salt Lake City, UT 84112, USA b United States Geological Survey, Southwest Biological Science Center, Sonoran Desert Research Station, BioSciences East Building, Tucson, AZ 85721, USA c Department of Biology, University of Utah, Salt Lake City, UT 84112, USA d Department of Soil, Water and Environmen...

Objective(s): The quantitative calculation of release data is more facil when mathematics come to help. mathematically modeling could aid optimizing and amending the delivery systems design. Aim of this study is to find out the isoniazid release kinetic. Methods: In this work degradable temperature sensitive dextran-hydroxy ethyl me...