Sentence examples for mutually different sets from inspiring English sources

The concept of seemingly unrelated models is used for multivariate observations when the components of the multivariate dependent variable are governed by mutually different sets of explanatory variables and the only relation between the components is given by a fixed covariance within the observational units.

Different sets of mutually orthogonal unit tensor bases are constructed from the strain argument tensor by using the representation theorem and corresponding irreducible invariants are defined.

From Lemma 1.1 we see that the rests for of the numbers for obtained by dividing the numbers by, are mutually different, they are contained in the set, make a permutation of the ordered set, and finally is the first number of the form such that.

These shared kind terms cross-classify the same set of objects into different sets of kinds, resulting in mutually exclusive lexical taxonomies that break the no-overlap principle.

The political arrangements of the Republic are entailed by, and are consistent with, many different sets of premises, some of which are mutually inconsistent.

Supporting this hypothesis is the recent demonstration that the domains encoded by the mutually exclusive α1/α2 exons of mouse MEF2D can mediate interactions with different sets of co-repressors or co-activators [23].

The pharmacophore and the protein structure models were constructed based on distinctly different sets of published experimental data, and are based on mutually independent assumptions and approximations.

Zeros of (p_{4}) are mutually different and different from 1.

A kind from one taxonomy is mutually exclusive with another if it cannot simply be introduced into it because the objects to which it refers would be subject to different sets of natural laws.

In the case of multiple user system, every user is assigned a different set of mutually orthogonal waveforms.

different set of assumptions.