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  2. Sign function - Wikipedia

    en.wikipedia.org/wiki/Sign_function

    The signum function of a real number is a piecewise function which is defined as follows: [1] ⁡:= {<, =, > The law of trichotomy states that every real number must be positive, negative or zero. The signum function denotes which unique category a number falls into by mapping it to one of the values −1 , +1 or 0, which can then be used in ...

  3. Concordant pair - Wikipedia

    en.wikipedia.org/wiki/Concordant_pair

    The Kendall tau distance between two series is the total number of discordant pairs. The Kendall tau rank correlation coefficient, which measures how closely related two series of numbers are, is proportional to the difference between the number of concordant pairs and the number of discordant pairs.

  4. Talk:Sign function - Wikipedia

    en.wikipedia.org/wiki/Talk:Sign_function

    I think the lead section of the article should be changed to something like: "In mathematics, the signum function (from signum, Latin for "sign") is an odd mathematical function that extracts the sign of a real number. This function is also sometimes called the sign function, although this may lead to confusion with the sine function.

  5. Three-way comparison - Wikipedia

    en.wikipedia.org/wiki/Three-way_comparison

    In C, the functions strcmp and memcmp perform a three-way comparison between strings and memory buffers, respectively. They return a negative number when the first argument is lexicographically smaller than the second, zero when the arguments are equal, and a positive number otherwise.

  6. Signum function - Wikipedia

    en.wikipedia.org/?title=Signum_function&redirect=no

    Language links are at the top of the page across from the title.

  7. Matrix sign function - Wikipedia

    en.wikipedia.org/wiki/Matrix_sign_function

    The matrix sign function is a generalization of the complex signum function ⁡ = {() >, <, to the matrix valued analogue ⁡ ().Although the sign function is not analytic, the matrix function is well defined for all matrices that have no eigenvalue on the imaginary axis, see for example the Jordan-form-based definition (where the derivatives are all zero).

  8. Locally constant function - Wikipedia

    en.wikipedia.org/wiki/Locally_constant_function

    The signum function restricted to the domain {} is locally constant.. In mathematics, a locally constant function is a function from a topological space into a set with the property that around every point of its domain, there exists some neighborhood of that point on which it restricts to a constant function.

  9. Parity of a permutation - Wikipedia

    en.wikipedia.org/wiki/Parity_of_a_permutation

    The sign, signature, or signum of a permutation σ is denoted sgn(σ) and defined as +1 if σ is even and −1 if σ is odd. The signature defines the alternating character of the symmetric group S n .