### Some articles on *integral, optimal*:

... A linear program in real variables is said to be

**integral**if it has at least one

**optimal**solution which is

**integral**... Likewise, a polyhedron is said to be

**integral**if for all bounded feasible objective functions c, the linear program has an optimum with integer coordinates. 1977, one can equivalently say that a polyhedron is

**integral**if for every bounded feasible

**integral**objective function c, the

**optimal**value of the linear program is an integer ...

### Famous quotes containing the words optimal and/or integral:

“In the most desirable conditions, the child learns to manage anxiety by being exposed to just the right amounts of it, not much more and not much less. This *optimal* amount of anxiety varies with the child’s age and temperament. It may also vary with cultural values.... There is no mathematical formula for calculating exact amounts of *optimal* anxiety. This is why child rearing is an art and not a science.”

—Alicia F. Lieberman (20th century)

“Painting myself for others, I have painted my inward self with colors clearer than my original ones. I have no more made my book than my book has made me—a book consubstantial with its author, concerned with my own self, an *integral* part of my life; not concerned with some third-hand, extraneous purpose, like all other books.”

—Michel de Montaigne (1533–1592)