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:
“Who shall forbid a wise skepticism, seeing that there is no practical question on which any thing more than an approximate solution can be had? Is not marriage an open question, when it is alleged, from the beginning of the world, that such as are in the institution wish to get out, and such as are out wish to get in?”
—Ralph Waldo Emerson (1803–1882)
“1st Witch. When shall we three meet again?
In thunder, lightning, or in rain?
2nd Witch. When the hurly-burly’s done,
When the battle’s lost and won.
3rd Witch. That will be ere set of sun.
1st Witch. Where the place?
2nd Witch. Upon the heath.
3rd Witch. There to meet with Macbeth.”
—William Shakespeare (1564–1616)