Search results
Results from the WOW.Com Content Network
In mathematics, a polynomial decomposition expresses a polynomial f as the functional composition of polynomials g and h, where g and h have degree greater than 1; it is an algebraic functional decomposition. Algorithms are known for decomposing univariate polynomials in polynomial time.
If an airplane's altitude at time t is a(t), and the air pressure at altitude x is p(x), then (p ∘ a)(t) is the pressure around the plane at time t. Function defined on finite sets which change the order of their elements such as permutations can be composed on the same set, this being composition of permutations.
Applicable to: square, hermitian, positive definite matrix Decomposition: =, where is upper triangular with real positive diagonal entries Comment: if the matrix is Hermitian and positive semi-definite, then it has a decomposition of the form = if the diagonal entries of are allowed to be zero
“Walking for a mile at a moderate pace equals about 2,000 steps, and speed-walking at a slightly greater speed may work out to be a tad closer to 1.2 miles per 2,000 steps, so it’s not as vast ...
For premium support please call: 800-290-4726 more ways to reach us
In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.
Arithmetic is closely related to number theory and some authors use the terms as synonyms. [8] However, in a more specific sense, number theory is restricted to the study of integers and focuses on their properties and relationships such as divisibility, factorization, and primality. [9] Traditionally, it is known as higher arithmetic. [10]
Gunther Schmidt has renewed the use of the semicolon, particularly in Relational Mathematics (2011). [2]: 40 [7] The use of the semicolon coincides with the notation for function composition used (mostly by computer scientists) in category theory, [8] as well as the notation for dynamic conjunction within linguistic dynamic semantics. [9]