Sentence examples for be the identity function from inspiring English sources

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.

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!

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

In this paper, we introduce the norm squares Bp for Qp spaces on a hyperbolic Riemann surface R so that Bp(f)="1 for 0⩽p⩽∞ if R is the unit disk and f is the identity function, and prove the sharp inequality Bp(f)⩽Bq(f) for 0⩽q

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

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

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

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

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