Sentence examples for define such that from inspiring English sources

We define such that where is the extension of, such that for.

If is a closed subset and satisfies AKTT-condition, then we can define such that.

Let us also define, such that and for i = 1,... m, as a family of (non-disjoint) coalitions.

In some applications, a threshold might be hard to define, such that methods to prune the medial axis have to be applied (e.g., Bai et al., 2007).

Furthermore, we can observe that the selection of modes follows a binomial distribution with an average selection size equal to N · P. Hence, at each step we define such that: where K is a given constant that determines a maximum upper bound in the number of new candidate modes at each step.

Magnitudes are now defined such that a first-magnitude star is 100 times brighter than a star of sixth magnitude.

Without loss of generality, is defined such that.

The functions ( n = 1, 2, … ) are defined such that | q n ( t ) | ≤ 1 for each.

Here a node (rho >0) is defined such that (u(rho)=0).

By a gauge we mean a continuous strictly increasing function defined such that and.

Now consider an auxiliary full-dimension vector v defined such that v = Φ + e k.