Sentence examples for integration of ordered from inspiring English sources

However, the large-scale synthesis and integration of ordered functional nanowires is a challenge, due to their complicated fabrication methodologies, high cost, and difficulties with phase stability in many metastable perovskite compounds.

The integration of ordered NP structures into functional device architectures is an important issue for future application.

where L i (0)=1, applying the Riemann-Liouville fractional integration of order ν of Equation 14.

respectively, where P is the ( N + 1 ) × ( N + 1 ) operational matrix of fractional integration of order ν.

Rapid delivery needs a meticulous integration of order picking, label printing and the generation of delivery orders to outside contractors working for the online operation.

There are several definitions of a fractional integration of order ν>0, and they are not necessarily equivalent to each other (see[34]).

The fractional integration of order α for the function (f(t)=t) is given by I^{alpha}_{t} f(t)=frac{Gamma(2)}{Gamma alpha+2)}t^{alpha+1}.

Let α > 0, n = + 1. Assume that u ∈ L 1 ( 0, 1 ) with a fractional integration of order n − α that belongs to A C n [ 0, 1 ].

[14] Let α > 0, n = + 1. Assume that u ∈ L 1 (0, 1) with a fractional integration of order n - α that belongs to AC n [0, 1].

The Riemann-Liouville fractional integration of order (nugeq0) of a function (f in C_{mu}), (mugeq-1), is defined as begin{aligned} bigl(mathcal{J}^{nu}f bigr) (t)=left { textstylebegin{array}{l@{quad}l} frac{1}{Gamma(nu }int_{0}^{t}{ t-tau)^{ t-tauf(tau)}, dtau}, & nu>0, f(t), & nu=0.

Of particular interest is the integration of first-order and higher-order techniques.