Sentence examples for of unknown coefficient from inspiring English sources

The semigroup approach for inverse problems for the identification of unknown coefficient in a quasi-linear parabolic equations was studied by Demir and Ozbilge [6, 7].

The determination of unknown coefficient of Eq. (14) applies the design matrix of Table 2 formulated by judicious transformation of the actual values of the four control variables at various levels over which the experiments were executed to their coded equivalents using −1 and +1 notations to designate low and high level factor setting and '±α' and '0' for axial and centre points, respectively.

(32 If ({text{rank}};{tilde{mathbf{W}}} = {text{rank}}left[ {{tilde{mathbf{W}}};{tilde{mathbf{G}}}} right] = N + 1), then we can find the matrix of unknown coefficient of Jacobi series via ({mathbf{A}} = left( {{tilde{mathbf{W}}}} right)^{ - 1} {tilde{mathbf{G}}}).

The unknown displacements of the densely populated finite elements are transformed to a handful of unknown coefficients of the series.

If M > m1 + Km2, the number of design points is larger than the number of unknown coefficients.

(1) If M > m1 + Km2, the number of design points is larger than the number of unknown coefficients.

The increasing number of unknown coefficients when increasing the level approximation can be solved by the corresponding linear systems.

The inverse problem of unknown coefficients in a quasi-linear parabolic equations was studied by Demir and Ozbilge [9 12].

The inverse problem of unknown coefficients in a quasi-linear parabolic equations was studied by Demir and Ozbilge [5, 6].

The system is reduced to a finite one by taking into account the asymptotic behaviour of unknown coefficients.

(2) If M = m1 + Km2, the number of design points is equal to the number of unknown coefficients and classical linear algebraic solvers can be utilized.  .