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:
“But in every constitution some large degree of animal vigor is necessary as material foundation for the higher qualities of the art.”
—Ralph Waldo Emerson (1803–1882)
“Crude men who feel themselves insulted tend to assess the degree of insult as high as possible, and talk about the offense in greatly exaggerated language, only so they can revel to their heart’s content in the aroused feelings of hatred and revenge.”
—Friedrich Nietzsche (1844–1900)
“Men commonly couple with their idea of marriage a slight degree at least of sensuality; but every lover, the world over, believes in its inconceivable purity.”
—Henry David Thoreau (1817–1862)