Sentence examples for map we define from inspiring English sources

For, where is a set-valued map we define (2.12).

If is a Lefschetz map, we define the Lefschetz set (or ) by (1.5).

To write system (3.5) as a map, we define the map : (3.7). is the map evaluated at the point.

Similarly, in characterizing the negative log p-value map we defined the TSS-ratio (htss) and diagonal-ratio (hdiag), although in this case we defined the threshold as Th mlp = Smin + (Smax = Smin) × 0.9.

After inspection of the resulting distribution of counties on the U.S. map we defined the following categories of concentrated spatial wealth: outlier poverty, extremely high poverty, very high poverty, high poverty, neither, high affluence and outlier affluence [ 26].

For the given mapping we define.

For a given mapping, we define.

For a given mapping, we define (3.3).

For notational convenience, given a mapping, we define the difference operator of (1.6) by.

Based on the mapping, we define transformation algorithms using Query/View/Transformation (QVT) which is a standard model transformation language by OMG.

A mapping is called a Cauchy mapping (resp., a Jensen mapping) if satisfies the functional equation (resp., For a given mapping, we define (1.4).