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  2. Linear function (calculus) - Wikipedia

    en.wikipedia.org/wiki/Linear_function_(calculus)

    In calculus and related areas of mathematics, a linear function from the real numbers to the real numbers is a function whose graph (in Cartesian coordinates) is a non-vertical line in the plane. [1] The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change ...

  3. List of types of functions - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_functions

    p-adic function: a function whose domain is p-adic. Linear function; also affine function. Convex function: line segment between any two points on the graph lies above the graph. Also concave function. Arithmetic function: A function from the positive integers into the complex numbers. Analytic function: Can be defined locally by a convergent ...

  4. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    This is a list of limits for common functions such as elementary functions. In this article, the terms a , b and c are constants with respect to x . Limits for general functions

  5. Linear function - Wikipedia

    en.wikipedia.org/wiki/Linear_function

    A constant function is also considered linear in this context, as it is a polynomial of degree zero or is the zero polynomial. Its graph, when there is only one variable, is a horizontal line. In this context, a function that is also a linear map (the other meaning) may be referred to as a homogeneous linear function or a linear form.

  6. Level set - Wikipedia

    en.wikipedia.org/wiki/Level_set

    (n − 1)-dimensional level sets of non-linear functions f (x 1, x 2, …, x n) in (n + 1)-dimensional Euclidean space, for n = 1, 2, 3. In mathematics , a level set of a real-valued function f of n real variables is a set where the function takes on a given constant value c , that is:

  7. Trace (linear algebra) - Wikipedia

    en.wikipedia.org/wiki/Trace_(linear_algebra)

    A related characterization of the trace applies to linear vector fields. Given a matrix A, define a vector field F on R n by F(x) = Ax. The components of this vector field are linear functions (given by the rows of A). Its divergence div F is a constant function, whose value is equal to tr(A).

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