Sentence examples for by deriving this expression from inspiring English sources
The kinetic Monte Carlo technique is a way to solve the master equation, and this review will start by deriving this expression in section 2. Several modeling methods have been used to simulate grain surface chemistry, and section 3 gives a historical overview of the introduction of these techniques into astrochemistry and their main advantages and disadvantages.
The minimization of the MSE is obtained by deriving the expression (11) with respect to every weight of the linear combination, giving raise to the following expression: v = t Q T Q Q T - 1. (12).
By deriving the expression for the ergodic achievable sum-rate of these transmission modes, we got the threshold of different transmission modes to attain maximum sum-rate of the system.
Hence, its PDF can be approximated by deriving the expression (6) begin{aligned} f_{T}left tright) &approx frac{beta}{t}expleft[-left(frac{sigma t}{omega }right)^{beta }right] &quadtimesleft(sum_{i=0}^{L-1}frac{left[left(frac{sigma t}{omega}right)^{beta}right]^{i+1}}{i!}-sum_{i=1}^{L-1}frac{left(frac{sigma t}{omega}right)^{beta i}}{left i-1right) !}{left i-1rightgned}right
We will evaluate the performance of the proposed selective combining scheme by deriving the expressions of the probability of false alarm and the probability of missed opportunity for this collaborative system.
In this study, we aim at filling this gap by deriving an expression for the probability of becoming infected that incorporates infection dynamics and is an explicit function of both host susceptibility and infectiousness.
For an arbitrary wall configuration the critical buckling length and corresponding buckling mode can be accurately predicted by deriving an expression for the non-uniform rotational stiffness provided by the support structure of a buckling wall.
This paper is devoted to filling this critical gap by deriving the analytic expression of the SOC estimation error under sensing noises.
