Sentence examples for elements of where from inspiring English sources

To this end, let be the vector of partial derivatives of with respect to the elements of, where denotes the matrix derivative operator[28, Definition 2].

In order to determine the dominant terms that form the set, let us introduce the following notation: let be an index array pointing to the different elements of, where (17).

Hot Press editor Niall Stokes felt The Edge's guitar playing combined elements of "Where the Streets Have No Name" with "Bullet the Blue Sky".

converge to the same element of, where form a partition of.

converges weakly to some element of, where is the -uniformly smoothness constant of.

Let be the th row and the th column element of, where (7).

Further, they proved that converges strongly to an element of, where.

Very recently, Moudafi [18] proposed an iterative algorithm for finding a common element of, where is an -inverse-strongly monotone manding, and obtained a weak convergence theorem.

Very recently, Moudafi [24] introduced an itertive method for finding an element of, where is an inverse-strongly monotone mapping and then proved a weak convergence theorem.

Since for a nonexpansive mapping, the mapping is -inverse strongly monotone, the problem of finding an element of, where denotes the set of fixed points of the nonexpansive mapping, is equivalent to that of finding an element of, where denotes the set of solutions of the mapping, and contained in the class of problem (1.9).

For example, in the setting of [9], if at the moment we reach a point, then the next iterate is an element of, where is the given mapping, which approximates the best approximation of in.