Sentence examples for one obtains for from inspiring English sources
If is the component of f j on the unit norm vector q k, one obtains: For the sake of clarity and without loss of generality, let us suppose that the k th selected vector corresponds to the k th column of matrix F (note that this can always be obtained by column wise permutation), then, the following relation exists between the original (F) and the orthogonalized (Forth k+1)) dictionaries.
This can be written: More precisely, if k - 1 successive orthogonalizations are performed relatively to the k - 1 vectors q1 · · · qk-1which form an orthonormal basis, one obtains for step k: Then, maximizing the projection norm of x on the subspace spanned by is done by choosing the vector maximizing with.
Then, from the boundary conditions, one obtains for each irreducible representation an infinite system of linear complex algebraic equations where the unknown scattering coefficients are uncoupled.
Since solves problem (1.1), one obtains, for all, (3.22).
Because the special exhaustion function satisfies (3.8) and the boundary condition, one obtains for arbitrary, (4.41).
Due to the symmetric band structure of electrons and holes, one obtains for the energy gap EG,n=2EC,n.
Such alterations of the consensus have a negative effect on the SP, since the predicted SP probability is only 21% of the one obtained for the consensus.
As well, the capacity fading could be dramatically decreased in comparison with the one obtained for conventional sulfur composite electrodes.
Response time of gellan suspensions was shorter than the one obtained for xanthan and it is comparable to the time found by using silica particles in silicon oil.
This result is similar to that one obtained for the conventional RFL pumped by multimode LDs when the shift corresponds to the long-wavelength slope of the Raman gain profile27.
The differential capacitance curve had a bell shape and was found to be more flattened when compared with the one obtained for the restricted primitive model.
