One of the main problems in computer graphics is to solve the global illumination problem, which is given by a Fredholm integral equation of the second kind, called the radiance equation (REQ). In order to achieve realistic images, a very complex kernel of the integral equation, modelling all physical effects of light, must be considered. Due to this complexity Monte Carlo methods seem to be an...

The ancient Babylonians had an iterative technique for numerically approximating the values of square roots. Their method can be physically implemented using series and parallel resistor networks. A recursive formula for the equivalent resistance Req is developed and converted into a nonrecursive solution for circuits using geometrically increasing numbers of identical resistors. As an example,...

Tyrosine (Tyr) is an essential amino acid in phenylketonuria (PKU) because of the limited hydroxylation of phenylalanine (Phe) to Tyr. The recommended intakes for Tyr in PKU are at least five times the recommended phenylalanine intakes. This suggests that Phe and Tyr contribute approximately 20 and 80%, respectively, of the aromatic amino acid (AAA) requirement (REQ). In animals and normal huma...

Decreasing qualitative aspects of residential environments is a real problem in recent public housing of Kerman. This article is concentrated on surveying the impact of in-between spaces on residential environments quality (REQ), to evaluate different kinds of it and to determine interrelation of two main components: residents individual characteristics and characteristics of in-between spaces....

This letter revisits the energy quadratization (EQ) method by introducing a novel and essential relaxation technique to improve its accuracy consistency. The EQ has witnessed significant popularity in past few years. Though we acknowledge effectiveness designing energy-stable schemes for thermodynamically consistent models, primary known drawback is apparent, i.e., it respects “modified” law re...

Small terrestrial animals continually encounter sloped substrates when moving about their habitat; therefore, it is important to understand the mechanics and kinematics of locomotion on non-horizontal substrates as well as on level terrain. To this end, we trained gray short-tailed opossums (Monodelphis domestica) to move along level, 30 degrees inclined, and 30 degrees declined trackways instr...

Purpose The current research aims to answer the following question: To what extent and under conditions does hiring consultants implement a customer relationship management (CRM) system produce performance gains for companies? this question, delves into critical interdependent roles of CRM consultant resources (CR) user involvement (UI) in overcoming CRM’s technological organizational implement...

Determining the weakest link: A simple analysis pinpoints kinetically unstable carbon-carbon bonds. No prior knowledge of reaction pathways is necessary and the approach is particularly helpful for the prediction of novel molecules. krel =relaxed force constant, req =bond length.

decreasing qualitative aspects of residential environments is a real problem in recent public housing of kerman. this article is concentrated on surveying the impact of in-between spaces on residential environments quality (req), to evaluate different kinds of it and to determine interrelation of two main components: residents individual characteristics and characteristics of in-between spaces....