Sentence examples for mapping we define from inspiring English sources

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.

A mapping is called a Jensen mapping if satisfies the functional equation For a given mapping, we define.

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

Then lim n → ∞ s n = 0. From the S-mapping, we define the mapping generated by two sets of finite families of the mappings and real numbers as follows.

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

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

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

To compare the connectivity maps, we define 2 measures, the "recurrence strength" as the ratio of the mean within-layer and the mean interlayer connection probabilities and the "loop strength" as the ratio of the mean connection probability of the cortical feed-forward loop (Gilbert 1983, L4 to L2/3 to L5 to L6 to L4) and the mean connection probability of all other interlayer connections.