Sentence examples for matrix notation and from inspiring English sources

In order to mathematically characterize the interference-coupled network, we adopt the matrix notation and the system model used in recent works [1, 5].

Hence, Equations 28, 29, and 30 can be expressed in a matrix notation, and these equations are ψ ′ θ ′ ϕ ′ = C D 0 0 B 0 0 K J. ψ θ ϕ, Open image in new window (31).

The method involves; determination of the molecular weights of C6/C7/C8 using three well-established hydrocarbon physical properties correlations, solution of the algebraic equations of the apparent molecular weight of C6+ using matrix notation, and application of logarithmic distribution to the calculated "quasi-mole fraction" of the individual C6+ components.

where the V i represents orthonormal vectors in the matrix notation and C i are uncorrelated coefficients such that V i T = v i 1 v i 2 v i 3... v i L F (4) C i T = c i 1 c i 2 c i 3... c i L F (5). in which L F is the number of the samples in any ECG segment which is equal to either 16 or 64.

JSim does not support complex numbers or matrix notation and associated matrix operators; in JSim all matrices must be written explicitly as a set of equations.

By using vector-matrix notation and linearization, the ordinary differential equations describing the chiller's dynamic thermal behaviors are transformed into a representation form of the state space.

In the following, we provide a description of the time-domain correlation technique in vector-matrix notation and demonstrate that the inversion problem can be solved via CS.

In this vector-matrix notation and use the semi-implicit discretization, we obtain U k + 1 - U k τ = ∑ l = 1 m L i i k U k + 1 + ∑ i = 1 m ∑ j ≠ i L i j k U k + β ( f - U k + 1 ) (18).

For simplicity, matrix notation has been used, and sex, region and country indexes have not been shown explicitly.

In the matrix notation, Eqs. 8 and 9 take the following forms: x^{ k)} = A^{T} y^{ k-1)} (10).

The matrix notation is used in formulating and solving problems using the finite element procedure.