Sentence examples for a function exists from inspiring English sources

In Sect. 2 we present experimental evidence that such a function exists during seizures in the human cortex, and we incorporate this into the existing Wilson Cowan formalism.

Until now, we assumed that such a function exists and in this section we provide a proof of its existence under the additional assumption that m a,t)=0quad mbox{for }0< a< a_{m}, (22) where (a_{m}) is a small number.

If such a function exists, the domain is purged away from the subdivision process.

Knowing that such a function exists, it is now possible to define the Cartesian product (prod_{alphain I}A_{alpha}) to be the collection of all such choice functions.

At the same time, they held the view that a mathematical entity (like an infinite set or a function) exists only insofar as it is "nameable by a finite number of words", against the platonistic views of Hadamard and Zermelo (see Borel et al. 1905).

With C' we ensure that a function exists which relates lineage propensities to a tissue fate.

(A3) A constant and a function exist such that (3.3).

A constant and a function exist such that (4.37).

(A1) Each satisfies Carathéodory conditions, that is, is measurable in for all and continuous in for a.e.. Furthermore, a constant and a function exist so that (3.1).

Each satisfies Carathéodory conditions, that is, is measurable in for all and continuous in for a.e.. Furthermore, a constant and a function exist so that (4.35).

Indeed, if such a function existed, as its value decreases along trajectories, it must be constant on any periodic orbit which is not possible.