Sentence examples for construction formulae from inspiring English sources

To study this, values of a dependent variable are created with linear construction formulae, with and without a product term.

This follows the proposal of Trapdoor construction formula and is constructed in a ways that the privacy of trapdoor is protected as long as the discrete logarithm problem is hard.

Applying Lemma 3.2 with u k = T n k ( y k ) − w and v k = x k − w, we obtain the desired equality lim k → ∞ ρ ( T n k ( y k ) − x k ) = 0, while (6.11) follows from (6.10) via the construction formulas for x k + 1 and y k. □.

Applying Lemma 4.1 with u k = T ( y k ) − w and v k = x k − w, we obtain the desired equality lim k → ∞ ρ ( T ( y k ) − x k ) = 0, while (5.4) follows from (5.3) via the construction formulas for x k + 1 and y k. □.

A comprehensive overhaul of the system should wait a year for the study to complete its second phase: the construction of formulas to suggest what staff ratios are appropriate for different caseloads in different homes.

We describe a numerical procedure for the construction of quadrature formulae suitable for the efficient discretization of boundary integral equations over very general curve segments.

It adopts the scheme of cylindrical decomposition that consists of four phases projection, isolation, lifting, and solution formula construction.

Additionally, in this study, the crack width measured along the perpendicular direction to the axis of the crack propagation is used to construction the design formulas.

In this paper, we mainly deal with two problems in integral geometry, the range characterizations and construction of inversion formulas for Radon transforms on higher rank Grassmann manifolds.

It is crucial to note that there is good agreement between observations and predictions despite the deviations from the assumptions and conditions involved in the construction of the formulas.

Inspired by the classic Crank-Nicolson method and the construction of L1 formula, Zhao and Sun [27] proposed a second order approximation for the variable order fractional derivatives, whence the stability of the scheme was not obtained.