Sentence examples for lineal function from inspiring English sources

Note, that if we take logarithms at both sides of the equation, i.e. log[f(x)] = log(a)−b log(x), f(x) becomes a lineal function of x with a slope equal to −b.

The numerator is a parabolic function having two analytically well defined crossing points (ξ+>0 and ξ−<0 ) with the horizontal axis given by

Lineal path function and nearest-neighbor function were used for accurate statistical media reconstruction (Quintanilla and Torquato 1997; Yeong and Torquato 1998a; Hahn et al. 1999; Davis et al. 2011).

Moreover, this accelerated version of the lineal path function is then compared to the two-point probability function during the compression and reconstruction of two-phase morphologies.

Imposing void-phase lineal path function results in slight improvement over what is achieved by using the void-phase two-point probability function as the only constraint.

Usage of the lineal path function is, however, significantly limited because of huge computational requirements.

This allows us to present a unique comparison of the entire lineal path function with the commonly used rough approximation based on the Monte Carlo and/or sampling template.

In this paper, we focus on a lineal path function designed to capture short-range effects and phase connectedness, which can hardly be handled by the commonly used two-point probability function.

So as to examine the properties of the lineal path function during computationally exhaustive compression and reconstruction processes, we start with an acceleration of the lineal path evaluation, namely by porting part of its code to a graphics processing unit using the CUDA (Compute Unified Device Architecture) programming environment.

The chord length distribution and the lineal path function are two common measures that contain information on particle (or grain) shape that is independent from spatial distribution.

The lineal path function L (z) defines probability that a randomly sampled line segment of the specified length lies inside the particular phase.