Sentence examples for mutually exclusive thus from inspiring English sources

Let I L be the identity matrix in ℝL×L, where I L (l) is the j th column in I L, so that j is the index of link l in L. Temporal reuse link sets are mutually exclusive; thus, for any v k ∈ V, the relationship ∩ n ∈ T ( v k ) L n ( v k ) = ∅ holds, so the usage probability vector for a v k with temporal reuse is given by U ( v k ) = ∑ n ∈ T ( v k ) ∑ l ∈ O ( n ) U n ( v k, l ) I L ( l ) (11).

These classifications are not mutually exclusive, thus many extremophiles fall into multiple categories.

Unintentional and intentional non-adherence are not mutually exclusive; thus, an amalgam of these behaviours often exists in any one patient.

Furthermore, HT and vertical diversification are not mutually exclusive; thus, successive invasions and structural variations may have occurred during the diversification of TEs.

Importantly, the parameter sets that generate hysteresis or repressilator-like oscillations were mutually exclusive; thus, the presence of hysteresis would rule out oscillations (J.P., K.M.P., and J.B., unpublished data).

Here we provide structural and functional evidence demonstrating that the same domain of Nrd1p interacts with RNA polymerase II and Trf4p in a mutually exclusive manner, thus defining two alternative forms of the NNS complex, one involved in termination and the other in degradation.

Of course, these approaches are not mutually exclusive and thus overlap to some extent.

The Syntactic, Semantic, and Pragmatic views are often taken to be mutually exclusive and, thus, to be in competition with one another.

These hypotheses are not mutually exclusive and thus multiple mechanisms may contribute to the observed phenomenon.

The 5' splice sites of the upstream 5' noncoding exons are then spliced to the 3' splice sites of these mutually exclusive exons, thus generating molecular diversity in the 5'-UTRs of Ugt 5b1 to 5b4.

The two explanations are not mutually exclusive, and thus, both processes may be responsible for high hybrid abundance at the field site in Montana.