Sentence examples for decomposition exactly from inspiring English sources

Theoretically, a polyadic decomposition exactly fits an array by a sum of rank-one terms [8].

When the dictionary is orthogonal and the signal x is composed of k≪n atoms, the algorithm recovers the sparse decomposition exactly after n steps.

Closer inspection of the remains, which have been treated with a traditional substance to slow decomposition, reveals exactly in what manner many of them died.

It can be observed that the performance of the decomposition method is exactly the same as the one obtained from CVX.

Alternative exploratory approaches that have not, to our knowledge, been applied to biological problems include the periodicity transform [ 22] and the exactly periodic signal decomposition [ 23], which are linear in period.

Many NP-complete problems on planar graphs are "fixed-parameter tractable:" Recent theoretical work provided tree decomposition-based fixed-parameter algorithms exactly solving various parameterized problems on planar graphs, among others VERTEX COVER, in time O(c√kn).

The aim of this work is to introduce a library for exactly defined molecular decompositions, with a strong focus on the application of these features in machine learning and data mining.

It is proved that there exists a constant N=N(F) such that for every n>N for which d divides n−1, and for every equality of the form α1e(H1)+⋯+αre(Hr)=n2, where α1,…,αr are nonnegative integers, the complete graph Kn has a decomposition in which each Hi appears exactly αi times.

If several examples (reactions or compounds) had exactly the same group decomposition they were all treated as a single example.

For the first time an electrochemical cell for NO decomposition with a value of current efficiency exactly equal to the theoretical value has been designed.

The paper also describes Benders decomposition algorithms based on the new formulations for solving the problem exactly.