Sentence examples for decomposition in terms of from inspiring English sources

The spectral decomposition in terms of cnoidal waves can of course be used for trains of solitons.

A harmonic decomposition in terms of polar angle allows the multipole content of the signal to be quantified.

And in the continuous-time case, a similar kind of decomposition, in terms of impulses, and associated representation of the output, in terms of the impulse response, led to the convolution integral.

In order to use a reduced basis method, we consider an affine decomposition in terms of the parameter related to the friction coefficient and the wind measures at some given observation points.

So by describing a time function as a linear combination of weighted, delayed impulses, as in effect we've done through this summation that corresponds to a decomposition in terms of impulses, we can now exploit linearity, specifically recognizing that the output of a linear system is the sum of the responses to these individual inputs.

We demonstrate the effectiveness of our method via large-scale cross-validation experiments across two real datasets (MovieLens and Netflix) and show the superiority of our method over such state-of-the-art approaches as non-negative matrix factorization and singular value decomposition in terms of not only recommendation accuracy and diversity but also retrieval performance.

Furthermore, the implemented parallel algorithms with DMPC could achieve good speedup ratios of at least 15.69 and generally outperformed conventional decomposition methods in terms of parallel efficiency and load balancing.

Then admits the decomposition (5.1) in terms of -monogenic functions if and only if (5.4) holds.

We also directly measure the decomposition process in terms of surface crystallinity and stoichiometry.

Hence, it is obvious that the proposed method significantly outperforms the dual decomposition approach in terms of required iterations steps towards the optimum solution.

In particular, the first principal component is mostly made of the contribution of the third identified thermogravimetric step, corresponding to the carbonate decomposition (both in terms of mass loss – with a high negative loading - and peak temperature, which has a positive value), together with the residue at 1000°C and the mass loss in the second TG step (both with positive loadings).