Sentence examples for apply a reversal from inspiring English sources

Given a permutation π and an interval ρ of π, we can apply a reversal on π, that is, an operation which reverses the order and flips the signs of the elements of ρ.

Given a permutation π and an interval ρ of π, we can apply a reversal on the interval ρ of π, that is, the operation which reverses the order and flips the signs of the elements of ρ, that results in the permutation (π1,…, π i −1, −π j,…, −π i, π j +1,…, π n ).

Given a permutation π and an interval ρ of π, we can apply a reversal on the interval ρ of π, that is, the operation which reverses the order and flips the signs of the elements of ρ, denoted by π ∘ ρ.

Suppose now that we apply a signed 2-reversal ρ i, i+1) on π and let π′ denote the resulting permutation.

Finally, suppose that we apply a signed 3-reversal ρ i, i+2) on π and let π′ denote the resulting permutation.

Now, suppose that we apply a signed 2-reversal ρ i, i+1) on π and let π′ denote the resulting permutation.

Moreover, from the proof of Lemma 16, we can conclude that if a (1, 1 -transposition increases the value of c odd when applied on an inversion in π, then it is possible to apply a signed 2-reversal on this inversion in such a way that c odd remains unaltered.

From the proof of Lemma 8, we have that (3) holds when we apply a signed super short reversal on π.

We will show that it is still possible to apply a sequence of signed short reversals on π in such a way that (4) holds.

The government's Supreme Court appeal, United States v. Cotton, No. 01-687, argued that the appeals court had erroneously applied a rule of automatic reversal.

How England would like the same to apply to them, a reversal of the current situation.