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"The Nth Degree" (Star Trek: The Next Generation) "Nth Degree" (song) , a song by New York City band Morningwood A mathematically specious phrase intended to convey that something is raised to a very high exponent (as in "to the n th degree"), where n is assumed to be a relatively high number (even though by definition it is unspecified and may ...
For example, 2 tetrated to 4 (or the fourth tetration of 2) is = = = =. It is the next hyperoperation after exponentiation , but before pentation . The word was coined by Reuben Louis Goodstein from tetra- (four) and iteration .
A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc. The computation of an n th root is a root extraction. For example, 3 is a square root of 9, since 3 2 = 9, and −3 is also a square root of 9, since (−3) 2 = 9.
For example, a degree two polynomial in two variables, such as + +, is called a "binary quadratic": binary due to two variables, quadratic due to degree two. [ a ] There are also names for the number of terms, which are also based on Latin distributive numbers, ending in -nomial ; the common ones are monomial , binomial , and (less commonly ...
In mathematics, a homogeneous function is a function of several variables such that the following holds: If each of the function's arguments is multiplied by the same scalar, then the function's value is multiplied by some power of this scalar; the power is called the degree of homogeneity, or simply the degree.
In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976. [1]In his 1947 paper, [2] R. L. Goodstein introduced the specific sequence of operations that are now called hyperoperations.
Constant function: polynomial of degree zero, graph is a horizontal straight line; Linear function: First degree polynomial, graph is a straight line. Quadratic function: Second degree polynomial, graph is a parabola. Cubic function: Third degree polynomial. Quartic function: Fourth degree polynomial. Quintic function: Fifth degree polynomial.
In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root of P.