Degree
When using the term "quadratic polynomial", authors sometimes mean "having degree exactly 2", and sometimes "having degree at most 2". If the degree is less than 2, this may be called a "degenerate case". Usually the context will establish which of the two is meant.
Sometimes the word "order" is used with the meaning of "degree", e.g. a second-order polynomial.
Read more about this topic: Quadratic Polynomial
Famous quotes containing the word degree:
“The eloquence of one stimulates all the rest, some up to the speaking-point, and all others to a degree that makes them good receivers and conductors, and they avenge themselves for their enforced silence by increased loquacity on their return.”
—Ralph Waldo Emerson (18031882)
“Essential truth, the truth of the intellectualists, the truth with no one thinking it, is like the coat that fits tho no one has ever tried it on, like the music that no ear has listened to. It is less real, not more real, than the verified article; and to attribute a superior degree of glory to it seems little more than a piece of perverse abstraction-worship.”
—William James (18421910)
“It is true that genius takes its rise out of the mountains of rectitude; that all beauty and power which men covet are somehow born out of that Alpine district; that any extraordinary degree of beauty in man or woman involves a moral charm.”
—Ralph Waldo Emerson (18031882)