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  2. Horizontal line test - Wikipedia

    en.wikipedia.org/wiki/Horizontal_line_test

    The function f is injective if and only if each horizontal line intersects the graph at most once. In this case the graph is said to pass the horizontal line test. If any horizontal line intersects the graph more than once, the function fails the horizontal line test and is not injective. [2]

  3. Vertical line test - Wikipedia

    en.wikipedia.org/wiki/Vertical_line_test

    The vertical line test, shown graphically. The abscissa shows the domain of the (to be tested) function. In mathematics, the vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

  4. Test functions for optimization - Wikipedia

    en.wikipedia.org/wiki/Test_functions_for...

    The test functions used to evaluate the algorithms for MOP were taken from Deb, [4] Binh et al. [5] ... Rosenbrock function constrained with a cubic and a line ...

  5. Bump function - Wikipedia

    en.wikipedia.org/wiki/Bump_function

    The Fourier transform of a bump function is a (real) analytic function, and it can be extended to the whole complex plane: hence it cannot be compactly supported unless it is zero, since the only entire analytic bump function is the zero function (see Paley–Wiener theorem and Liouville's theorem).

  6. What Is the 'Green Line Test,' Exactly? What To Know About ...

    www.aol.com/lifestyle/green-line-test-exactly...

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  7. Injective function - Wikipedia

    en.wikipedia.org/wiki/Injective_function

    A graphical approach for a real-valued function of a real variable is the horizontal line test. If every horizontal line intersects the curve of f ( x ) {\displaystyle f(x)} in at most one point, then f {\displaystyle f} is injective or one-to-one.

  8. Rosenbrock function - Wikipedia

    en.wikipedia.org/wiki/Rosenbrock_function

    In mathematical optimization, the Rosenbrock function is a non-convex function, introduced by Howard H. Rosenbrock in 1960, which is used as a performance test problem for optimization algorithms. [1] It is also known as Rosenbrock's valley or Rosenbrock's banana function. The global minimum is inside a long, narrow, parabolic-shaped flat ...

  9. Talk:Horizontal line test - Wikipedia

    en.wikipedia.org/wiki/Talk:Horizontal_line_test

    4 Horizontal line test for quadrilaterals. 1 comment. 5 potentially merging Horizontal line test and Vertical line test into monotonicity? 9 comments.