Sentence examples for notation the following from inspiring English sources

Following previous notation, the following recursive equation for gametic effects holds: (15) Each gametic effect is modelled as (i) a weighted average of the gametic effects of its ancestors (for non-founder individuals) or of haplotypic effects (for founder individuals), plus (ii) independent random variables due to mendelian sampling [ 15], ϕ.

Using this notation, the following correspondence holds.

To simplify mathematical notation, the following vector of state variables is defined x = (x 0, x 1).

A partial metric space is a pair ( X, p ) such that X is a nonempty set and p is a partial metric on X. Notation The following notation is useful in the sequel.

Notation: The following notation is used throughout this article: (i) N a is the number of RF chains and, consequently, the number of simultaneously active transmit-antennas, with 1 ≤ N a  ≤ N t ; (ii) E m is the average total energy transmitted at each time slot by the N a active transmit-antennas.

Since these two valid meanings imply different uses of notation, the following conventions are adopted: The differential equations expressions X, C, XC and S refer only to disjoint states (or groups).

Notations: The following notations are used in our paper except where otherwise specified.

Notations: The following notations are adopted for remaining of the article.

With these notations, the following extension procedure can be suggested for the r.k.

Notations: The following notations are used: The vectors and matrices are in boldface letters, vectors are denoted by lower-case and matrices by capital letters.

A change in notation simplifies the following presentation.