Sentence examples for ordered smooth from inspiring English sources

Higher H+/aniline ratio result in highly ordered smooth nanotubes with similar diameter [161, 162].

SOM, a nonlinear, ordered, smooth mapping of high-dimensional data onto the regular, low-dimensional array [ 21], is an unsupervised learning neural network tool used in many medical image analysis applications [ 22, 23].

In order to construct the network of transcriptional regulators (i.e., TFs and chromatin regulators) that coordinate the N starvation response, we computed the distances between temporally ordered, smoothed expression profiles of the transcriptional regulators (TRs) and the transcriptionally co-regulated modules.

Each robust RBFNN utilizes an nth-order smooth switching function to combine a conventional RBFNN with a robust control.

Some appropriate conditions are given which guarantee the existence of second order smooth solutions.

end{aligned} So we get the existence of the second order smooth solution of (3) and (4).

In Section 4, we get the existence of second order smooth solutions for 2D Euler equation with symmetry outside a core region.

Under the assumptions of (1<gamma<frac {5}{3}) or (frac{5}{3}<ganda<3) and α being sufficiently large, there exists second <span class="lh lhl">order smooth solutions of (3) and (4).

The main result of this paper, which is the existence of the second order smooth solutions of this equation, is in the following theorem.

If e is q-order smooth at (x^), then we get e(x_{k} -e bigl(x_{k} -e-nabigle(x^{k}) bigr -nablax^ bigr -nablal( biglVert x_{k}-x^ biglVert ^{q+1} bigr).

In this paper, we study the existence of second order smooth solutions for the initial boundary value problem of Euler equation satisfying the γ-law with damping and axial symmetry.