Sentence examples for regarding equations from inspiring English sources
where X t = ΔΩ ¯ t ΔΓ ¯ wt t T is the state vector, u t = ΔΓ ¯ G is the control input, and by regarding Equations 11, 13, and 16, we achieve the following coefficient matrixes: A = 0 1 J T γ T w γ J T − 1 T w, B = − 1 J T − γ J T, L = 0 2 − γ T w.
There are several versions in the literature regarding Equation 7. We have adopted the version in [13].
The proposed method utilize extended Kalman filter for self-localization by regarding equation (1) as state transition equation and equation (10) as observation equation.
Regarding equation (7), what happens when the number of edges is such that it is below the percolation threshold in the Erdosz-Renyi graph, i.e., so that the graph will fall into many small ones?
The second aspect regards Equation 19.
Notice that if we were to allow the fraction of the population targeted for vaccination to be a function of future disease states, rather than a static fraction and a stopping threshold, we could regard Equation 13 as a stochastic iteration equation and use stochastic dynamic programming [14] to calculate the optimal intervention associated with a set of parameter values.
We regard Equation 1 as an approximation because it depends on a number of population genetic assumptions that rarely hold in breeding populations, particularly in plant breeding (Goddard 1986; Lynch and Walsh 1998; Piepho et al. 2008).
The importance of the investigation of half-linear equations lies among others in the fact that various phenomena in physics and chemistry are studied through half-linear equations and through partial differential equations with p-Laplacian (half-linear equations can be regarded as equations with one-dimensional p-Laplacian).
Regarding these equations, the structure of the interval observer is deduced.
In Section 2, some basic definitions and lemmas regarding difference equations are given.
Details regarding the equations used to estimate the probability of coinfection are provided in the Appendix.
