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:
“There can be a true grandeur in any degree of submissiveness, because it springs from loyalty to the laws and to an oath, and not from baseness of soul.”
—Simone Weil (1909–1943)
“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)
“To the degree that respect for professors ... has risen in our society, respect for writers has fallen. Today the professorial intellect has achieved its highest public standing since the world began, while writers have come to be called “men of letters,” by which is meant people who are prevented by some obscure infirmity from becoming competent journalists.”
—Robert Musil (1880–1942)