Sentence examples for divide x from inspiring English sources

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We chose the strategy to divide X CC into the two matrices, X CN and X CS, first.

Each irreducible factor has a corresponding multiple of form x u + 1. x u + 1 and x v + 1 both divide x u·v + 1 (where u = v allowed), from an elementary identity.

If you think x=3 is a solution, but can't divide (x-3) into the original polynomial without remainder, then you've made a mistake.

Every irreducible binary polynomial of degree k divides x 2 k + x mod 2. If k > 1 then p(x) ?

Since x N + 1 divides x j N + 1, G C D ( p ( x ), x j N + 1 ) ? 1 and statement (i) follows.

Proof: Since x + 1 divides x n + 1 mod 2 for any n, GCD x n + 1, p(x)) = 1 cannot hold true, verifying (i).

First, with a search loop we determine the smallest t, such that the corresponding binary polynomial p(x) divides x t + 1 mod 2 (the smallest characteristic exponent).

Where ξ is the primitive nth root of unity in (phantom {dot {i}!}F_{2^{s}},) an s degree Galois field extension of F 2. Since m i (x a ) divides (x a ) n −1 for each i, it follows that g(x a ) divides (x a ) n −1.

Let a partial order ≼ on X be defined as follows: For x, y ∈ X, x ≼ y holds if x > y and 3 divides (x - y) and 3 ≼ 1 and 0 ≼ 1 hold.

Note that F is G-increasing with respect to ≤. Example 9 Let X = N endowed with the partial order ⪯ defined by x, y ∈ X × X, x ⪯ y if and only if y divides x.