Sentence examples for auxiliary coefficients from inspiring English sources
Eliminating the auxiliary coefficients, and preconditioning with the one-obstacle solution operator, leaves a well-conditioned square linear system that is solved iteratively.
where λ i and ϕ i are the eigenvalues and the corresponding transposed eigenvectors of the matrix (Q R −1), α i are auxiliary coefficients, which may be obtained from the initial conditions.
The method involves three design variables, the number of estimated transient terms, a number of auxiliary impulse response coefficients (that also are estimated), and the size of a frequency window.
There are many auxiliary variables and coefficients in the object formulation that the form seems very complicated, as shown in Eq. 19) and (23), especially in the algorithm description and theoretical analysis.
By different choices of the phase functions, we deduce stability theorems in terms of the auxiliary function of coefficients R A ( t ), which is invariant with respect to the lower triangular transformations.
The coefficients of auxiliary filters are obtained using the fmincon routine in Matlab.
Taking mutual coupling into account, a method was derived for estimation of the coupling coefficient which can accurately estimate the coupling coefficient without any auxiliary sensors.
The CE approach regresses the true value, X *, on the self-reported measure, X, using auxiliary data and uses these coefficients to predict E[X*|X] in the survey data.
In fact, the constraints in (9) can be expressed by the auxiliary filters only (without the coefficients of and ) therefore, the variable number can be further reduced, and only the expressions become quite complicated.
Since the channel coefficients are obtained from auxiliary variables, we derive the biased distribution of the auxiliary variables rather than of the channel coefficients.
An auxiliary parameter and a boundary coefficient are imported into the controller to guarantee system stability and improve control performance.
