Sentence examples for decomposition length from inspiring English sources

Exactness, direct limits, tensor products, Cayley-Hamilton theorem, integral dependence, localization, Cohen-Seidenberg theory, Noether normalization, Nullstellensatz, chain conditions, primary decomposition, length, Hilbert functions, dimension theory, completion, Dedekind domains.

The decomposition length is M = 9 (order is 8) and we use K = 2M + (N max − N min) = 20 number of DFT points.

A plot of E i versus iteration for each pair of singular vectors is depicted in Figure 2. The decomposition length is M = 9 (order is 8) and we use K = 2M + (N max − N min) = 20 number of DFT points.

Fragments 1, 2, 3 and 4 in this decomposition are of length one since respective nucleotides T, C, G and A occur for the first time.

In Figure 4, we visualize the distribution of the Hamming distances computed among hashes of 200 uncorrelated images (i.e., perceptually entirely unrelated) for three parameter settings: hash-length 16 bytes with decomposition level 7, hash-length 50 bytes with decomposition level 5, and hash-length 128 bytes with decomposition level 6. Figure 4 Hamming distances among 200 uncorrelated images.

We identify width and length as decomposition parameters that determine the "level" of combinatorial reasoning.

In a 2D DWT computation, the problem sizes reduces at every decomposition level and the length of the emerging computation paths also vary.

The analysis is extended to the case of nanowires and the interplay between decomposition along the wire length vs. radial and angular perturbations is discussed.

Based on the decomposition of N (the length of the transform) into mutually prime factors, the algorithm performs transforms in-place and without pre- or post-reordering of the data.

where k and L denote wavelet decomposition levels and the length of the DWT coefficient section, respectively.

In [24], a new methodology for decomposition over a composite length DFT has been proposed as a modification of the Sorensen's approach [23].