Sentence examples for corresponding to the order from inspiring English sources

Applying the method of sub- and supersolution (see [28]) corresponding to the order interval provides the existence of a smallest positive solution of problem (1.1) fulfilling.

Among all the minimum error power values, the smallest one is corresponding to the order and the prediction coefficients used for reversible data hiding.

where we denote the ranks of the observed failure or censoring times per each margin as (r_{s_{i}}=text {rank}(S_{i})) and (r_{t_{j}}=text {rank}(T_{j})), respectively, corresponding to the order statistics S (1)

To this end, we divide the power spectra corresponding to the order n≥1 into the in-band and out-of-band components as ∫ − ∞ ∞ S x i ⋆ ( 2 n + 1 ) ( f ) df = ∫ D in S x i ⋆ ( 2 n + 1 ) ( f ) df ⏟ β n, in + ∫ D out S x i ⋆ ( 2 n + 1 ) ( f ) df ⏟ β n, out = 1, (41).

Definition (A.3) gives us an important result: The ordering of linear bounded self-adjoint operators on (overline{P(n)}) is 1-1 corresponding to the order of the positive quadratic forms (which is the order of positive real numbers), which is total (since all its elements are comparable).

Thereafter, the study coordinator opened the envelope corresponding to the order of the individual.

The application plots red points at spatial locations corresponding to the ordered-pair [x, y] Cartesian intersection of your fingers' respective measured distances from the origin point.

Typical small-angle XRD of MCM-41 showed the reflections of (100), (110) and (200) planes corresponding to the ordered hexagonal mesoporous structure.

Hence, the eigenvalues of the correlation of each user change [34], so does the eigenvector matrix corresponding to the ordered eigenvalues; our proposed algorithm still works but is achieving a different user grouping result.

For calculating the estimated number of total positives, we calculate any test statistic t i for gene i, i = 1, …, g, from raw data, corresponding to the ordered statistics t(1) ≤ t(2) … ≤ t(g).

The morphing algorithm used by MorphX cannot be presumed to be linear; nevertheless we assigned a level to each morph variant corresponding to the ordering of each morph variant between the 2 original images from which they were morphed; There are 11 possible sample images (the 2 original images and 9 morph variants).