There was also the long-standing conjecture of Euler, formulated in 1782, that there cannot exist mutually orthogonal Latin squares of order 4t + 2, for any integer t.
Mutually exclusive categories exist when no item falls between two categories, and each item is represented by only one data point.
Then from the Whitney decomposition theorem, we know that there exist mutually disjoint cubes Q k such that E λ = ⋃ k Q k and 10 Q k ∩ B ∖ E λ ≠ ∅.
Even if mutually agreed solutions exist at all, they would be found through long and painstaking processes of negotiations.
A case where a larger number of mutually incompatible splits exist which are invisible in the published tree topology is the study of freshwater crayfish by Crandall et al. [ 63] based on 16S, 18S and 28S sequences.
Although the different hypotheses that seek to explain the social inequality in health (i.e., causality or selection mechanisms) are not mutually exclusive, controversies exist about their relative importance, and it is difficult to disentangle their respective contributions.
Two non-mutually exclusive hypotheses exist explaining how herbivore densities are affected by plant diversity [77].
Several non-mutually exclusive possibilities exist.
It's an odd twist since people often presume that sports and theater exist in mutually exclusive universes.
There may exist no mutually agreeable probability assignment over possible outcomes of the duel (i.e., who would win) that would 'rationalize' the unanimous preference for x over y.
" " part: If the maximum lifetime on is and the corresponding schedule is, then there must exist a mutually disjoint cover set with covers since each sensor has a battery lifetime of unit.
