Sentence examples for based on the extensions from inspiring English sources

A family of general FDOs based on the extensions of the classical MLFs (Gösta Mittag-Leffler, Wiman and Prabhakar functions) were proposed in [25, 28].

Based on the extensions of (1.1) for the interval cases, in this paper, we study the initial value problem of interval-valued nonlinear systems of differential equations under generalized Hukuhara differentiability, i.e., box-valued differential equations of the form D gH X ( t ) = F ( t, X ( t ) ), X ( 0 ) = X 0 ∈ I n, t ∈ [ 0, T ], (1.2).

A novel high-resolution numerical method is presented for one-dimensional hyperbolic problems based on the extension of the original Upwind Leapfrog scheme to quasi-linear conservation laws.

Before the advent of bebop, improvisation was based on the extension of a song's melody -- lines tended to be arpeggios or other embellishments in and around melodic statements.

The algorithm uses a methodology based on the extension of the state vector.

This mechanism is based on the extension mechanism of a ladder truck.

Therefore, we design the rate-compatible LDPC codes for relay networks based on the extension technique.

Based on the extension of relaxation in[14], the simple algoritm for minimizing C 1 are presented.

The proof of Theorem 2.2 is based on the extension principle.

Practical results are obtained which overcome those based on the extension principle or α-cuts.

Our approach is based on the extension of vine copulas for high dimensional spatial applications.