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  2. Function (mathematics) - Wikipedia

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

    Diagram of a function Diagram of a relation that is not a function. One reason is that 2 is the first element in more than one ordered pair. Another reason is that neither 3 nor 4 are the first element (input) of any ordered pair therein. The above definition of a function is essentially that of the founders of calculus, Leibniz, Newton and Euler.

  3. Graph of a function - Wikipedia

    en.wikipedia.org/wiki/Graph_of_a_function

    Given a function: from a set X (the domain) to a set Y (the codomain), the graph of the function is the set [4] = {(, ()):}, which is a subset of the Cartesian product.In the definition of a function in terms of set theory, it is common to identify a function with its graph, although, formally, a function is formed by the triple consisting of its domain, its codomain and its graph.

  4. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points ) which are connected by edges (also called arcs , links or lines ).

  5. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.

  6. Tent map - Wikipedia

    en.wikipedia.org/wiki/Tent_map

    Graph of tent map function Example of iterating the initial condition x 0 = 0.4 over the tent map with μ = 1.9. In mathematics, the tent map with parameter μ is the real-valued function f μ defined by ():= {,}, the name being due to the tent-like shape of the graph of f μ.

  7. Sigmoid function - Wikipedia

    en.wikipedia.org/wiki/Sigmoid_function

    A common example of a sigmoid function is the logistic function, which is defined by the formula: [1] ... Sign functionMathematical function returning -1, 0 or 1;

  8. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. It can be classified also as a tessellation . In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators).

  9. Bifurcation diagram - Wikipedia

    en.wikipedia.org/wiki/Bifurcation_diagram

    An example is the bifurcation diagram of the logistic map: + = (). The bifurcation parameter r is shown on the horizontal axis of the plot and the vertical axis shows the set of values of the logistic function visited asymptotically from almost all initial conditions.