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  2. Function (mathematics) - Wikipedia

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

    In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. [ 1 ] The set X is called the domain of the function [ 2 ] and the set Y is called the codomain of the function. [ 3 ] Functions were originally the idealization of how a varying quantity depends on another quantity.

  3. Outer product - Wikipedia

    en.wikipedia.org/wiki/Outer_product

    Outer product. In linear algebra, the outer product of two coordinate vectors is the matrix whose entries are all products of an element in the first vector with an element in the second vector. If the two coordinate vectors have dimensions n and m, then their outer product is an n × m matrix. More generally, given two tensors ...

  4. Arg max - Wikipedia

    en.wikipedia.org/wiki/Arg_max

    Arg max. As an example, both unnormalised and normalised sinc functions above have of {0} because both attain their global maximum value of 1 at = 0. The unnormalised sinc function (red) has of {−4.49, 4.49}, approximately, because it has 2 global minimum values of approximately −0.217 at = ±4.49. However, the normalised sinc function ...

  5. Inequality (mathematics) - Wikipedia

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

    The feasible regions of linear programming are defined by a set of inequalities. In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1] It is used most often to compare two numbers on the number line by their size.

  6. Relational operator - Wikipedia

    en.wikipedia.org/wiki/Relational_operator

    In computer science, a relational operator is a programming language construct or operator that tests or defines some kind of relation between two entities. These include numerical equality (e.g., 5 = 5) and inequalities (e.g., 4 ≥ 3). In programming languages that include a distinct boolean data type in their type system, like Pascal, Ada ...

  7. Lambert W function - Wikipedia

    en.wikipedia.org/wiki/Lambert_W_function

    hide. The product logarithm Lambert W function plotted in the complex plane from −2 − 2i to 2 + 2i. The graph of y = W(x) for real x < 6 and y > −4. The upper branch (blue) with y ≥ −1 is the graph of the function W0 (principal branch), the lower branch (magenta) with y ≤ −1 is the graph of the function W−1. The minimum value of ...

  8. Convolution - Wikipedia

    en.wikipedia.org/wiki/Convolution

    The term convolution refers to both the result function and to the process of computing it. It is defined as the integral of the product of the two functions after one is reflected about the y-axis and shifted. The integral is evaluated for all values of shift, producing the convolution function.

  9. Big O notation - Wikipedia

    en.wikipedia.org/wiki/Big_O_notation

    For example, the third equation above means: "For any function f(n) = O(1), there is some function g(n) = O(e n) such that n f(n) = g(n)." In terms of the "set notation" above, the meaning is that the class of functions represented by the left side is a subset of the class of functions represented by the right side.