Sentence examples for even permutation from inspiring English sources

Note that (langle (3, 4) rangle ) consists of one even permutation ((1)) and one odd permutation ((3, 4)).

Therefore by creating an array [A, B, C, D] that is representative of the geometry, or any even permutation of it, the necessary chirality information is encoded.

So, for any (p ac+ad, ab, ab) in X_{4}), there is an even permutation τ such that (tau(f_{1}) = p ac+ad, ab, ab)).

The antisymmetric symbol in the 3D space is ε α β γ = ε α β γ = { + 1 for even permutation of  { 1, 2, 3 }, − 1 for odd permutation of  { 1, 2, 3 }, 0 otherwise.

where ε i j k is defined as follows: ε i j k = { 1 if  ( i, j, k )  is an even permutation, − 1 if  ( i, j, k )  is an odd permutation, 0 others.

For a k-simplex σ={v 0,…,v k } with k>0, define two orderings of its vertex set to be equivalent if they differ from one other by an even permutation.

Our result extends to k-tuples of almost commuting permutations, for any given k, and allows restrictions, for instance, to even permutations.

Even permutations refer to an equivalent geometry, i.e. the tetrahedron can be rotated around to its original position, while odd permutations are inequivalent, i.e. if the substituents are different, then it cannot be restored to its original state by rotation, which means it is enantiomeric.

The elements of the alternating group, called even permutations, are the products of even numbers of transpositions.

Even permutation-based methods may retain some vulnerability to hidden dependencies within microarray data (Efron & Tibshirani, 2007).

In addition, one significant association signal was found between UAW and rs16952517 (No. 6, P-value = 0.00156, significant even with permutation test).