Statement of The Problem
In general, a convex polyhedron is defined as the intersection of a finite number of halfspaces. That is, a convex polyhedron is the set of solutions of a system of inequations of the form
The formal statement of our problem is to find the intersection of the set with the line defined by, where and .
Read more about this topic: Intersection Of A Polyhedron With A Line
Famous quotes containing the words statement of the, statement of, statement and/or problem:
“It is commonplace that a problem stated is well on its way to solution, for statement of the nature of a problem signifies that the underlying quality is being transformed into determinate distinctions of terms and relations or has become an object of articulate thought.”
—John Dewey (18591952)
“Truth is used to vitalize a statement rather than devitalize it. Truth implies more than a simple statement of fact. I dont have any whisky, may be a fact but it is not a truth.”
—William Burroughs (b. 1914)
“He has the common feeling of his profession. He enjoys a statement twice as much if it appears in fine print, and anything that turns up in a footnote ... takes on the character of divine revelation.”
—Margaret Halsey (b. 1910)
“The problem for the King is just how strict
The lack of liberty, the squeeze of the law
And discipline should be in school and state....”
—Robert Frost (18741963)