Sentence examples for separate combinations of from inspiring English sources

We have to notice that the index notation can be interpreted in terms of two separate combinations of indices, one associated with the column (superscript) indices and the other one with the row (subscript) indices, with the following rules: the ordering of the column indices is independent of that of the row indices; the ordering of the column and row indices cannot be changed.

The ultimate objective of this analysis was a clear clustering of the protein sequences such that similar proteins fall into separate clusters that are defined by separate combinations of (m n, i) values (coordinate location in the m n –  i space) where n = +, − and i = position of the protein sequence along the x-axis.

Our approach allows to combine the previously separated combination of data together in one application and in one workflow, supported by navigation and exploration possibilities.

It has been estimated that around 8% of the world's food crop productivity could be affected by elevated Na+ levels [ 19], via an often temporally separated combination of osmotic (rapid) and ionic (acute) effects on plant growth, including reductions in stomatal aperture and net photosynthetic rate [ 20], in addition to longer term consequences for shoot growth [ 21].

In recent years, membrane materials that are used to separate different combinations of chemical compounds have constituted an energy-efficient and competitive alternative to special distillation processes.

We propose a general Bayesian approach to heteroskedastic error modeling for generalized linear mixed models (GLMM) in which linked functions of conditional means and residual variances are specified as separate linear combinations of fixed and random effects.

A boundary in the phase space (dashed line in Fig. 6B) separates the combinations of GATA and NANOG levels which will evolve into the fully differentiated GATA-positive state from those that lead to the undifferentiated NANOG-positive state.

Each local analysis involves a separate linear combination of the ensemble solutions over a given local region.

The KSS has 3 components (knee, function, and pain) and the studies reported separate components and combinations of components.

LSMEANS was used to separate the means or combinations of means.

The method of least squares means was used to separate the means or combinations of means.