Sentence examples for by a fixed element from inspiring English sources

Recall that a discrete loop, or, simply, a loop, is a set (M) with a globally defined product for which there exists a unit element, and such that the left and the right multiplications by a fixed element of (M) are bijections.

Let e ∈ P be a fixed element.

Let z ∈ g-1 K) be a fixed element.

For any fixed element (y_{0}) in (B_{0}), the sequence ({y_{n}}), defined by F_{gy_{n+1}, Ty_{n}}(t) = F_{A, B}(t), converges to the element y. S and T are proximal contractions of the first kind.

For any fixed element y 0 in B 0, the sequence { y n }, defined by d ( g y n + 1, T y n ) = d ( A, B ), converges to the element y.

Then, for an arbitrarily fixed element u ∈ C, there exists a sequence { y n } in C defined by (5.3).

We do improvise a lot, but you begin with all of these fixed elements".

From the fixed elements of the scene (yellow paper in Figure 1(a) or the calibration target shown in Figure 14), repositioning of images is performed by adjusting a translation correction so that the elements remain motionless [19].

Circulation and core space are fixed elements defined by building structures; the other uses derive directly from the staff model's projections.

We call χ the character associated to the representation ρ G : G → GL(W), i.e. χ(g) is the trace of the corresponding permutation matrix or, in other words, χ(g) equals the number of fixed elements in B by the permutation g∈ G. Then the character associated to the induced representation G → GL(⊗ n W) is χ n, the n-th power of χ.

The fixed elements or mesh routers (MR) create a backbone.