Search results
Results From The WOW.Com Content Network
Rooted graph. In mathematics, and, in particular, in graph theory, a rooted graph is a graph in which one vertex has been distinguished as the root. [1][2] Both directed and undirected versions of rooted graphs have been studied, and there are also variant definitions that allow multiple roots. Rooted graphs may also be known (depending on ...
A root of a polynomial is a zero of the corresponding polynomial function. [1] The fundamental theorem of algebra shows that any non-zero polynomial has a number of roots at most equal to its degree , and that the number of roots and the degree are equal when one considers the complex roots (or more generally, the roots in an algebraically ...
A critical point of a function of a single real variable, f (x), is a value x0 in the domain of f where f is not differentiable or its derivative is 0 (i.e. ).[2] A critical value is the image under f of a critical point. These concepts may be visualized through the graph of f: at a critical point, the graph has a horizontal tangent if one can ...
Autoregressive model. In statistics, econometrics, and signal processing, an autoregressive (AR) model is a representation of a type of random process; as such, it can be used to describe certain time-varying processes in nature, economics, behavior, etc. The autoregressive model specifies that the output variable depends linearly on its own ...
The rooted product of graphs. In mathematical graph theory, the rooted product of a graph G and a rooted graph H is defined as follows: take |V ( G) | copies of H, and for every vertex vi of G, identify vi with the root node of the i -th copy of H . More formally, assuming that. and that the root node of H is h1, define. where. and.
v. t. e. Economics (/ ˌɛkəˈnɒmɪks, ˌiːkə -/) [ 1 ][ 2 ] is a social science that studies the production, distribution, and consumption of goods and services. [ 3 ][ 4 ] Economics focuses on the behaviour and interactions of economic agents and how economies work.
In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real -valued function. The most basic version starts with a real-valued function f, its derivative f ′, and ...
Inflection points in differential geometry are the points of the curve where the curvature changes its sign. [2][3] For example, the graph of the differentiable function has an inflection point at (x, f(x)) if and only if its first derivative f' has an isolated extremum at x. (this is not the same as saying that f has an extremum). That is, in ...