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Etymologie

Was (wer) ist extremal function - definition

Extremal graph

Extremal orders of an arithmetic function

In mathematics, specifically in number theory, the extremal orders of an arithmetic function are best possible bounds of the given arithmetic function. Specifically, if f(n) is an arithmetic function and m(n) is a non-decreasing function that is ultimately positive and

https://en.wikipedia.org/wiki/Extremal_orders_of_an_arithmetic_function

Function (mathematics)

$A binary operation is a typical example of a bivariate function which assigns to each pair <math>(x, y)</math> the result <math>x\circ y</math>.$

ASSOCIATION OF A SINGLE OUTPUT TO EACH INPUT

Mathematical Function; Mathematical function; Function specification (mathematics); Mathematical functions; Empty function; Function (math); Ambiguous function; Function (set theory); Function (Mathematics); Functions (mathematics); Domain and range; Functional relationship; G(x); H(x); Function notation; Output (mathematics); Ƒ(x); Overriding (mathematics); Overriding union; F of x; Function of x; Bivariate function; Functional notation; Function of several variables; Y=f(x); ⁡; Draft:The Repeating Fractional Function; Image (set theory); Mutivariate function; Draft:Specifying a function; Function (maths); Functions (math); Functions (maths); F(x); Empty map; Function evaluation

In mathematics, a function from a set to a set assigns to each element of exactly one element of .; the words map, mapping, transformation, correspondence, and operator are often used synonymously.

https://en.wikipedia.org/wiki/Function_(mathematics)

Transfer function

FUNCTION SPECIFYING THE BEHAVIOR OF A COMPONENT IN AN ELECTRONIC OR CONTROL SYSTEM

Transfer-function; Transfer Function; Natural response; Pulse-transfer function; Network function; Transfer curve; Transfer characteristic; System function

In engineering, a transfer function (also known as system functionBernd Girod, Rudolf Rabenstein, Alexander Stenger, Signals and systems, 2nd ed., Wiley, 2001, p.

https://en.wikipedia.org/wiki/Transfer_function

Wikipedia

Extremal graph theory

Extremal graph theory is a branch of combinatorics, itself an area of mathematics, that lies at the intersection of extremal combinatorics and graph theory. In essence, extremal graph theory studies how global properties of a graph influence local substructure. Results in extremal graph theory deal with quantitative connections between various graph properties, both global (such as the number of vertices and edges) and local (such as the existence of specific subgraphs), and problems in extremal graph theory can often be formulated as optimization problems: how big or small a parameter of a graph can be, given some constraints that the graph has to satisfy? A graph that is an optimal solution to such an optimization problem is called an extremal graph, and extremal graphs are important objects of study in extremal graph theory.

Extremal graph theory is closely related to fields such as Ramsey theory, spectral graph theory, computational complexity theory, and additive combinatorics, and frequently employs the probabilistic method.

https://en.wikipedia.org/wiki/Extremal graph theory