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:
“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 hearts content in the aroused feelings of hatred and revenge.”
—Friedrich Nietzsche (18441900)
“I would rather be exposed to the inconveniences attending too much liberty than those attending too small a degree of it.”
—Thomas Jefferson (17431826)
“O, when degree is shaked,
Which is the ladder of all high designs,
The enterprise is sick. How could communities,
Degrees in schools, and brotherhoods in cities,
Peaceful commerce from dividable shores,
The primogeniture and due of birth,
Prerogative of age, crowns, scepters, laurels,
But by degree stand in authentic place?
Take but degree away, untune that string,
And hark what discord follows. Each thing meets
In mere oppugnancy.”
—William Shakespeare (15641616)