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  2. atan2 - Wikipedia

    en.wikipedia.org/wiki/Atan2

    atan2. atan2 (y, x) returns the angle θ between the positive x -axis and the ray from the origin to the point (x, y), confined to (−π, π]. Graph of over. In computing and mathematics, the function atan2 is the 2- argument arctangent. By definition, is the angle measure (in radians, with ) between the positive -axis and the ray from the ...

  3. 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.

  4. Domain of a function - Wikipedia

    en.wikipedia.org/wiki/Domain_of_a_function

    In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by or , where f is the function. In layman's terms, the domain of a function can generally be thought of as "what x can be". [ 1] More precisely, given a function , the domain of f is X. In modern mathematical language, the domain is ...

  5. Domain coloring - Wikipedia

    en.wikipedia.org/wiki/Domain_coloring

    Domain coloring plot of the function f(x) = ⁠ ( x2 − 1) ( x − 2 − i) 2 x2 + 2 + 2 i⁠, using the structured color function described below. In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane. By assigning points on the ...

  6. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    Axiom. Axiom is a general-purpose computer algebra system. It has been in development since 1971 by IBM, and was originally named scratchpad. Richard Jenks originally headed it but over the years Barry Trager who then shaped the direction of the scratchpad project took over the project. It was eventually sold to the Numerical Algorithms Group ...

  7. Range of a function - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_function

    Range of a function. is a function from domain X to codomain Y. The yellow oval inside Y is the image of . Sometimes "range" refers to the image and sometimes to the codomain. In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or. the image of the function.

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  9. Inverse trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Inverse_trigonometric...

    A right triangle with sides relative to an angle at the point. Inverse trigonometric functions are useful when trying to determine the remaining two angles of a right triangle when the lengths of the sides of the triangle are known. Recalling the right-triangle definitions of sine and cosine, it follows that.