We consider surfaces defined with the dimensionality paradigm as the natural projection of a 2-manifold in n-space into a subspace of three dimensions. Such surfaces can represent exactly many operations of interest in geometric modeling and its appfcations. We show that this class of surfaces is closed under the operations of offsetting, bisecting, and blending (using rolling-ball blends), and...

We analyze the collective modes of high-temperature QCD in the case when there is an anisotropy in the momentum-space distribution function for the gluons. We perform a tensor decomposition of the gluon self-energy and solve the dispersion relations for both stable and unstable modes. Results are presented for a class of anisotropic distribution functions which can be obtained by stretching or ...

Solutions of reaction-diffusion equations on a circular domain are considered. With Robin boundary conditions, the primary instability may be a Hopf bifurcation with eigenfunctions exhibiting prominent spiral features. These eigenfunctions, defined by Bessel functions of complex argument, peak near the boundary and are called wall modes. In contrast, if the boundary conditions are Neumann or Di...

We present a general linear dispersion relation which describes the coupled behavior of magnetorotational, photon bubble, and convective instabilities in weakly magnetized, differentially rotating accretion disks. We presume the accretion disks to be geometrically thin and supported vertically by radiation pressure. We fully incorporate the effects of a nonzero radiative diffusion length on the...

We study the viscosity corrections to the growth rate of nucleating bubbles in a slightly supercooled first order phase transition in 1 + 1 and 3 + 1 dimensional scalar field theory. We propose a microscopic approach that leads to the non-equilibrium equation of motion of the coordinate that describes small departures from the critical bubble and allows to extract the growth rate consistently i...

We study the viscosity corrections to the growth rate of nucleating bubbles in a slightly supercooled first order phase transition in 1 + 1 and 3 + 1 dimensional scalar field theory. We propose a microscopic approach that leads to the non-equilibrium equation of motion of the coordinate that describes small departures from the critical bubble and allows to extract the growth rate consistently i...

background : main technique to control acquired immunodeficiency syndrome (hiv) infection is the effective preventive programs among high-risk groups. modeling is one of the effective methods where there is inadequate data. we used the modes of transmission (mot) model to predict the transmission of hiv infection in iran. methods : we systematically searched published and grey literature to fin...

Reproduction is a defining feature of living systems. To reproduce, aggregates of biological units (e.g., multicellular organisms or colonial bacteria) must fragment into smaller parts. Fragmentation modes in nature range from binary fission in bacteria to collective-level fragmentation and the production of unicellular propagules in multicellular organisms. Despite this apparent ubiquity, the ...