Sentence examples for transforms in terms of from inspiring English sources

(10) ε (L ) = (1 − μ ) · ε pull (L ) + μ · ε push (L ) The loss function needs to be optimized in order to obtain the distance metric transforms in terms of the explicitly low-rank linear and rectangular matrix transformation L. The optimization over L is not convex unlike the original optimization over M, but a (possibly local) minimum can be computed by standard gradient-based methods.

Numerical tests are presented showing that the learning-based multiresolution transform compares favorably with the standard multiresolution transforms in terms of compression capability.

Based on these extensions we develop a functional series expansion of these transforms in terms of the constituents of the generator.

In the case n = 2, L(H =C, characterizations based on the Grothendieck-Pisier-Haagerup inequality are given for such Fourier transforms in terms of weakly harmonizable and hemihomogeneous random fields and continuous unitary Jordan representations.

Then we define orbital integrals on the Lie algebra of G, generalizing those introduced by Harish-Chandra [Han] and Duflo [Du4], and we express in a rather simple way their Fourier transforms in terms of the Fourier transforms of Hanish-Chandra′s orbital integrals of some reductive factors of the generic canonical acceptable subgroups of G.

In fact it is our capacity to adapt and transform in terms of social practices and behaviours that makes us distinctive as a species and in which our specifically human nature is to be located.

HU: As with other disciplines, plant biology has been tremendously transformed in terms of techniques and study materials.

"I think people are slowly transforming in terms of how they think about food," says Elisa Zied, a registered dietitian and spokesperson for the American Dietetic Association.

In both cases these are expressed as a gauge on the size of the transform in terms of a suitable integral modulus of continuity of the function.

DWT has an advantage over the Fourier transform in terms of localisation in frequency domain as well as in spatial domain.

The comparison between the direct computation and fast transform in terms of operations (i.e., additions and multiplications) is illustrated in the Table3.