Sentence examples for the identity function from inspiring English sources

For example, the identity function on X is closed graph.

In the above conditions, f i denotes the identity function.

The identity function will be denoted as and so, in particular, is the identity function of onto itself.

In auto-associative networks, the knowledge to be extracted from a database is the identity function.

One boring case is the identity function (the empty program), which takes each string to itself.

which is simply the identity function and thus has a nonzero trace.

This follows from Theorem 1 choosing for Ψ i , 1 ≤ i ≤ d the identity function.

Therefore, part (i) follows from Theorem 2.21 immediately by taking f as the identity function.

(ii1) It is clear that the identity function on ( 0, + ∞ ) satisfies (2.6).

where is the identity function: for any ; (iii) for, there exists -function such that (33)  .

The identity function does not contain a compact support and therefore is not in X.