For a convex body $K$ in $\mathbb{R}^n$, we introduce and study the extremal general affine surface areas, defined by \[ {\rm IS}_{\varphi}(K):=\sup_{K^\prime\subset K}{\rm as}_{\varphi}(K),\quad os}_{\psi}(K):=\inf_{K^\prime\supset as}_{\psi}(K) \] where ${\rm as}_{\varphi}(K)$ as}_{\psi}(K)$ are $L_\varphi$ $L_\psi$ area of $K$, respectively. We prove that there exist bodies achieve supremum ...

The analysis of changes in the near-surface air temperature Northern Hemisphere is given. To identify years which there was a violation series homogeneity, stepwise trend method applied using Kolmogorov statistics. It shown that identified homogeneous climatic intervals basically correspond to natural periods state Earth’s climate system. assessment significance areas carried out by confidence ...

relief wells are used extensively to relieve excess hydrostatic pressure in pervious foundation strata overlain by impervious top strata, conditions which often exist landward of levees and downstream of dams and hydraulic structures. placing well outlets in below-surface trenches or collector pipes helps dry up seepage areas downstream of levees and dams. relief wells are often used in combina...

The catchment, or catchment area, is the area associated with a segment of a drainage network. Surface runoff in a catchment flows into the associated network segment. Catchment area is commonly used for estimating watershed parameters, such as upstream drainage area, flood frequency, or surface-water flow. Hydrologic analyses require relatively accurate catchment area estimates to furnish subs...

Vesicular stomatitis virus (VSV) has been shown previously to be capable of undergoing rapid mutational change during sequential experimental infections in various tissue culture cell systems (J. Holland, K. Spindler, F. Horodyski, E. Grabau, S. Nichol, and S. Vandepol, Science 215:1577-1585, 1982). The present study was undertaken to determine the degree of genetic diversity and evolution of t...

background: to enhance the dose to tumor, the use of high atomic number elements has been proposed. objective: the aim of this study is to investigate the effect of gold nanoparticle distribution on dose enhancement in tumor when the tumor is irradiated by typical monoenergetic x-ray beams by considering homogeneous and inhomogeneous distributions of gold nanoparticles (gnps) in the tumor. meth...