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  2. Relation (mathematics) - Wikipedia

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

    For example, the black relation in the diagram is many-to-many, but the red, green and blue ones are not. Uniqueness and totality properties: A function [d] A relation that is functional and total. For example, the red and green relations in the diagram are functions, but the blue and black ones are not. An injection [d] A function that is ...

  3. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    The butterfly diagram show a data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT algorithm. This diagram resembles a butterfly as in the Morpho butterfly shown for comparison, hence the name. A commutative diagram depicting the five lemma

  4. Arrow diagramming method - Wikipedia

    en.wikipedia.org/wiki/Arrow_Diagramming_Method

    In addition, the precedence diagram method (PDM), or activity-on-node (AON), is often favored over ADM. [2] ADM network drawing technique the start and end of each node or event is connected to an arrow. The start of the arrow comes out of a node while the tip of the arrow goes into a node.

  5. Function analysis diagram - Wikipedia

    en.wikipedia.org/wiki/Function_analysis_diagram

    A function analysis diagram (FAD) is a method used in engineering design to model and visualize the functions and interactions between components of a system or product. It represents the functional relationships through a diagram consisting of blocks, which represent physical components, and labeled relations/arrows between them, which represent useful or harmful functional interactions.

  6. Identity function - Wikipedia

    en.wikipedia.org/wiki/Identity_function

    If f : X → Y is any function, then f ∘ id X = f = id Y ∘ f, where "∘" denotes function composition. [4] In particular, id X is the identity element of the monoid of all functions from X to X (under function composition). Since the identity element of a monoid is unique, [5] one can alternately define the identity function on M to

  7. List of types of functions - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_functions

    Holomorphic function: complex-valued function of a complex variable which is differentiable at every point in its domain. Meromorphic function: complex-valued function that is holomorphic everywhere, apart from at isolated points where there are poles. Entire function: A holomorphic function whose domain is the entire complex plane.

  8. Map (mathematics) - Wikipedia

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

    A map is a function, as in the association of any of the four colored shapes in X to its color in Y In mathematics , a map or mapping is a function in its general sense. [ 1 ] These terms may have originated as from the process of making a geographical map : mapping the Earth surface to a sheet of paper.

  9. Math Arrow - Wikipedia

    en.wikipedia.org/wiki/Math_Arrow

    The Math Arrow matrix is a visual tool , designed to make the relationship among numbers more intuitive and to enhance the learning of mathematical functions. It was created by economist and author Todd Buchholz , a former White House economic adviser and winner of the Allyn Young Teaching Prize at Harvard University .