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:
“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 (1803–1882)
“One who shows signs of mental aberration is, inevitably, perhaps, but cruelly, shut off from familiar, thoughtless intercourse, partly excommunicated; his isolation is unwittingly proclaimed to him on every countenance by curiosity, indifference, aversion, or pity, and in so far as he is human enough to need free and equal communication and feel the lack of it, he suffers pain and loss of a kind and degree which others can only faintly imagine, and for the most part ignore.”
—Charles Horton Cooley (1864–1929)
“Need I explain to the inhabitants of England, for whom I chiefly write, how extreme are those sufferings, and how great the costliness of that old age which is unable in any degree to supply its own wants? Such old age should not, we Britannulists maintain, be allowed to be.”
—Anthony Trollope (1815–1882)