The phrase "an instance is given" is correct and usable in written English.
It can be used when referring to a specific example or case that has been provided in a discussion or text.
Example: "In the following section, an instance is given to illustrate the concept more clearly."
Alternatives: "an example is provided" or "a case is presented".
Finally, an instance is given to demonstrate the practicability and validity of the prototype system.
In this paper, we design a family of P system with to judge whether there is a Hamiltonian cycle and find all Hamiltonian cycle in an undirected graph, and then an instance is given to illustrate the feasibility and effectiveness of our designed P systems.
An instance is given to show the whole procedure how to solve the matrix multiplication by the ΠMM.
A particular problem instance is given by an input sequence, or several thereof.
For the same noise variance at each user, the minimum transmit power required for a particular channel instance is given by the following expression [15, 17]: p tx ( h 1, h 2, …, h K s ) = ∑ i = 1 K s γ i h i † Z i - 1 h i, (6).
Just about everyone he meets, for instance, is given a brief, laudatory pen portrait: "Bob Chaney, a garrulous 92-year-old…", "I knew Patrick was a true renaissance geek".
Tremadog in Gwynedd, for instance, is given a much less sceptical treatment than most, seemingly because it was a planned village intended as a market town rather than an industrial exemplar, its theatrical architecture and Coade stone figures "like finding a neon sign in a field".
Rigorous theoretical proofs are described and specific computing instance is given after defining the basic tiles and the assembly rules.
(Chrysler, for instance, is giving a grand in cash for owners who trade in a Toyota Tundra, Tacoma or Sienna for a new Chrysler, Dodge or Jeep).
The Greater London Authority, for instance, is giving away a Top Trumps game, but it is one designed to teach you ways of reducing your carbon footprint.
A leather bomber jacket in a color described as mineral green, for instance, was given a rubberized effect, and a chunky white sweater was bonded with leather.
