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:
“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 (18151882)
“There is always a degree of ridicule that attends a disappointment, though often very unjustly, if the expectation was reasonably grounded; however, it is certainly most prudent not to communicate, prematurely, ones hopes or ones fears.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (16941773)
“The real essence, the internal qualities, and constitution of even the meanest object, is hid from our view; something there is in every drop of water, every grain of sand, which it is beyond the power of human understanding to fathom or comprehend. But it is evident ... that we are influenced by false principles to that degree as to mistrust our senses, and think we know nothing of those things which we perfectly comprehend.”
—George Berkeley (16851753)