Sentence examples for using an algebraic equation from inspiring English sources

The values are added using an algebraic equation (sum = A + B - A · B) [19] of all instances in order to obtain the motion-noise confidence parameter.

With this formulation, the minimization of the disturbance effect on the residual is formulated as a standard H∞ filtering problem and the design is solved using an algebraic Riccati equation.

This paper presents a parallel implementation of fractional solvers for the incompressible Navier Stokes equations using an algebraic approach.

The discrete linear system of equations is solved using an algebraic multigrid solver as a preconditioner for a conjugate gradient iteration.

In the proposed method, adjacent eigenvectors and orthonormal condition are used to compose an algebraic equation whose order is (n+m)×(n+m), wherenis the number of co-ordinates andmthe number of multiplicity of a multiple natural frequency.

By using a simple algebraic equation, ϕ'(n) is obtained from ϕ(n).

In conventional C-MFA, a metabolic model M is an algebraic equation used to generate MDV j sim from the vector of metabolic flux (v) and the isotopic labeling pattern of a carbon source (xinp), as shown in (1).

The magnetic diffusion Equation (1) can be reduced to an algebraic equation by using the functional form (3) and the Laplace transform of the time derivative (7), giving: k^{2}textbf{B} - smusigma textbf{B} = 0. (8).

Introducing the Laplace transform and using the initial conditions, we obtain an algebraic equation whose solution can be written as follows: L [ y ( x ) ] = F ( s ) a s α + b s β + c, where F ( s ) is the Laplace transform of the f ( x ).

Using the initial conditions, we obtain an algebraic equation whose solution is given by F ( s ) = G ( s ) ( s + b ) 2 + a 2. By means of the convolution product and the relation involving the inverse Laplace transform L − 1 [ 1 ( s + b ) 2 + a 2 ] = exp ( − b x ) a sin a x, we get y ( x ) = 1 a ∫ 0 x e − b ( x − ξ ) sin [ a ( x − ξ ) ] f d ξ. which is exactly Eq. (5).

Perturbation is used to find the roots of an algebraic equation that differs slightly from one for which the roots are known.