Sentence examples for by utilizing the polynomial from inspiring English sources

The controller, whose gain matrix depends on the information of the velocity, is designed by utilizing the polynomial parameter-dependent idea.

Varma et al. [4] presented yet another generalization of the Szász operators by utilizing the Brenke type polynomials and showed that these polynomials include the Appell polynomials and Gould-Hopper polynomials as special cases.

We present an efficient VLSI architecture for 3GPP LTE/LTE-Advance Turbo decoder by utilizing the algebraic-geometric properties of the quadratic permutation polynomial (QPP) interleaver.

By utilizing the equivalence theorem and Descartes's rule of signs, we construct D-optimal designs for a weighted polynomial regression model of degree k, with specific weight function w(x)=1/(a2−x2)δ, on the compact interval [−1,1].

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While the generalized Mexican-hat wavelets are constructed from the standard Mexican-hat function by utilizing a polynomial series with the admissible condition imposed, the signal matching characteristics are achieved by minimizing the spectral differences between the reference signal and the generalized Mexican-hat wavelet via even and odd symmetry decomposition.

Then, a new Lyapunov Krasovskii functional is constructed for a stochastic time-varying delay system by utilizing Legende polynomials.

The singular integral equation is solved analytically utilizing the Jacobi polynomials.

Step 13: Linearize the non-linear membership functions μ d q PIS ( S ) ( x ) and μ d q NIS ( S ) ( x ) into equivalent linear membership functions μ ^ d q PIS ( S ) ( x ) and μ ^ d q NIS ( S ) ( x ), respectively, by utilizing first-order Taylor polynomial series.

We develop a spectral method for solving univariate singular integral equations over unions of intervals by utilizing Chebyshev and ultraspherical polynomials to reformulate the equations as almost-banded infinite-dimensional systems.

Also, we will investigate further properties, recurrence relations, and combinatorial identities for the Barnes-type polynomials by utilizing umbral calculus and degenerate versions of them.