Sentence examples for forward equation from inspiring English sources

We suppose that the forward equation depends on some unknown finite-dimensional parameter.

Furthermore, we study reliability characteristics of each model using Kolmogorov's forward equation method.

As the model of observations of the forward equation we take a diffusion process with small volatility.

However, over time dissolved ferrous iron does build up and the Fenton reaction goes forward (Equation 3).

The Kolmogorov forward equation for diffusion approximation of neutrality could be introduced to approximate the distribution of allele frequencies at given time (Hartl and Clark, 2007).

The Kolmogorov forward equation, based on Fokker-Planck equation, was very solid in mathematics as well as in population genetics (Kimura, 1955; Haken, 1983).

In this paper, we consider the properties of continuity and differentiability of solutions to two kinds of stochastic Volterra integral equations: forward equations (Theorem 2.5) and backward equations (Theorem 3.3).

Thus, in order to solve Equation 8 using stationary variance properties, we rotate at each epoch the forward equations in dipole coordinates (for which we use the COV-OBS internal dipole field).

From the forward equations (A1), we can obtain the boundary conditions for : (A5) By definition, the ϕ's satisfy the boundary conditions given by: (A6) 1.

Numerical solutions to the forward equations are found in each Markov chain Monte Carlo cycle, using the WinBUGS (32) add-on WBDiff (33), which uses the Runge-Kutta method (34, 35).

The partial PGFs satisfy the Kolmogorov forward equations, given by: (A1) where 0 ≤ α ≤ k -1, 0 ≤ β ≤ m d, 0 ≤ d ≤ r, (α, β, d) ≠ (0,0,0), 1 d = 0 is the indicator function defined by and similarly.