As we are
permuting only GEVs, this significantly reduces the complexity and making the scheme more efficient.
3) By
permuting the blocks of the saddle-point system, we can also compute an inexact LU factorization of the global system with MSSS matrix computations in linear computational complexity.
Permuting all of the bits at the same location will not vastly change the image pixels' value.
It is clear that any element of [Aut.sub.inc](P) [congruent to] Sym(P) induces an automorphism of Proj([F.sub.1][[[X.sub.i]].sub.i[member of]P]), by
permuting the set {[X.sub.i]|i [member of] P}.
Theorem 2.2 Let (u[upsilon] be a decomposable word and let [upsilon]' be a word obtained from [upsilon] by
permuting the entries.
By
permuting the rows and columns of H, we can achieve the aim that all the [0.sup.T] rows are at the bottom of H.
The value 0 < spd(G) [less than or equal to] 1 denotes the probability that a randomly picked pair (X,Y) [member of] sn(G) x M(G) is
permuting, that is, XY = YX.
Data were generated by
permuting the trait values against genotypes and fixed effects.
Neither paintings nor poetry could he contemplated serenely, however, for--in addition to
permuting the canvases' arrangement each day--Gysin bathed the room in the vision-inducing light effects of a Dreamachine, the rotating flicker device he created with Ian Sommerville in 1960 and patented in 1961.
Revealing a name entails
permuting the collection that results when a new letter replaces a given one in each word.
By randomly
permuting the games 10,000 times for each player during the period 1957-2006--and getting so many fewer streaks than we have seen in real life--I think there is strong evidence that the independence assumption underlying the coin-toss model does not work in the context of hitting streaks.
These tasks are accomplished by
permuting the rows and columns of an input data array in such a way as to push the numerically larger array elements together.
Within these constraints, we need an algorithm that will encrypt data by
permuting strings in a given format to different strings in the same format, will not leak information to an attacker that has access to a large number of ciphertexts, and will survive the exposure of a reasonable number of plaintext/ciphertext pairs.