Sentence examples for for certain sets from inspiring English sources
The computer intensive methods find optimal designs equivalent to universally optimum complete block design for certain sets of contrasts, and they find better designs for other sets of contrasts.
In particular, they define a procedure to group similar baskets by exploiting a frequent pattern mining approach and creating in this way classes of probability for certain sets of items frequently purchased together.
Although this method led to an improvement in the sky and weak clutter scenes, it had negative impact on strong clutter scenes, a finding that indicates that simply averaging the bands is disastrous for certain sets of spectral signatures and cannot itself be used as a detection method.
For certain sets of experimental data, Bao's model shows good agreement; however, it is necessary to select a proper value of a matching constant M which is not discussed in Bao [85]. Figure 6 Comparisons between Bao's model, F-K model and benchmark experimental data.
For the SNR threshold problem, the computational complexity is less critical, as the calculation of R ̄ N, opt ( u ) and R ̄ A, opt ( u ) ( Ξ U A, ρ u, σ E, u 2 ) for all G-tuples Ξ U A with U A = 1, …, U for all users can be performed offline for certain sets of system and CQI imperfectness parameters and stored in a look-up table, so this computational complexity is not considered.
There are also clear differences in half life between cell types for certain sets of genes suggesting that changes in mRNA decay rates may make very significant contributions to coordination of gene expression during differentiation.
Taking into account possibly inexact data, we study both existence and approximation of fixed points for certain set-valued mappings of contractive type.
In Section 3, we first construct, with the aid of Michael's selection theorem, virtually stable schemes for certain set-valued mappings to obtain retraction results for fixed point sets.
General rational contractive relations for self-mappings from certain sets into themselves have received important interest in the last years.
Kimura and Yao [9] discussed the semicontinuity of solution maps for parametric vector quasi-equilibrium problems by virtue of the closedness or openness assumptions for some certain sets.
When applied to gene expression data from two species, it identifies, simultaneously in both data sets, subsets of samples for which certain sets of genes are coherently overexpressed.
