In mathematics, a solution set is the set of values that satisfy a given set of equations or inequalities.
For example, for a set of polynomials over a ring, the solution set is the subset of on which the polynomials all vanish (evaluate to 0), formally
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Famous quotes containing the words solution and/or set:
“All the followers of science are fully persuaded that the processes of investigation, if only pushed far enough, will give one certain solution to each question to which they can be applied.... This great law is embodied in the conception of truth and reality. The opinion which is fated to be ultimately agreed to by all who investigate is what we mean by the truth, and the object represented in this opinion is the real.”
—Charles Sanders Peirce (18391914)
“I never can hear a crowd of people singing and gesticulating, all together, at an Italian opera, without fancying myself at Athens, listening to that particular tragedy, by Sophocles, in which he introduces a full chorus of turkeys, who set about bewailing the death of Meleager.”
—Edgar Allan Poe (18091845)