Sentence examples for for any two different from inspiring English sources

For any two different points, (a) there exists a line containing these two points, and (b) this line is unique.

Let be a countable family of pseudometrics on a nonvoid set such that for any two different points, for some.

For some attribute, its values are independent, i.e., for any two different values, their similarity/distance remain the same.

We do so by showing that if (97) is not satisfied, then for any two different values of λ, the corresponding rate regions do not contain one another.

Also note that for any two different paths (mu, nu in mathcal {P}_{mathrm {min}} v,H)), we have (mu ^* nu = 0 ) in (L_mathbb {K}(E)).

According to Figure 18, we have found a turning point at In a certain region below this value, there exist for any two different positive solutions.

In this theory, the specific R-measurement outcome in the EPR/B experiment depends on the specific L-measurement outcome: For any three different directions x, y, z, if the probabilities of x-spin 'up' and y-spin 'up' are non-zero, the probability of R-outcome z-spin 'up' will generally depend on whether the L-outcome is x-spin 'up' or y-spin 'up'up

For any phylogenetic analysis two different sets of questions must be discerned.

And he said Cisco was effectively planning for two different years for fiscal 2002.

The evolution of overlapping coding regions is particularly constrained because they simultaneously code for two different genes and any mutation affects both of them (Krakauer 2000).

The 13C spectrum for methylcyclohexane does not show any multiplets arising from spin-spin splitting for two different reasons.