Sentence examples for is the identity function from inspiring English sources

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.

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

Proof Let φ = identity and ϕ = ( 1 − 1 k ) φ and g is the identity function.

For q = 0, tr ( f ∗ ) = 1 because f 0 is the identity function on ℤ.

The particular case in which the function ψ is the identity function on X can be stated as a corollary.

It is especially nice with the structure maps on those final coalgebras may be taken to be the identity function.

Let I be the identity function of H, and let (f_{1}: Ctimes Crightarrow H) be a bifunction.

For example, in the case of electrospray mass ionization (ESI) and high-resolution MS experiments, where fragmentation is optional, the post-processing function may be the identity function.

Remark 2.7 Theorem 1.2 is a particular case of Theorem 2.3 for ψ being the identity function, and ϕ ( t ) = t − ψ ( t ).

Then we can simply choose f to be the identity function, since ℘(U) must necessarily be a subset of the universal set U. But then C becomes the Russell set!