Finding:

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   Trigonometric functions

   In mathematics, the trigonometric functions (also called circular functions) are functions of an angle. ... Polar sine — a generalization to vertex angles
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   Function (mathematics)

   It is common to omit the parentheses around the argument when there is little chance of ambiguity, thus: sin x. In some formal settings, use of reverse Polish notation, x ƒ, eliminates the need for any parentheses; and, for example, the factorial function is always written n!, even though its generalization, the gamma function, is written Γ(n). ... The function composition of two or more functions uses the output of one function as the input of another.
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   Cuckoo hashing

   Generalizations of cuckoo hashing that use more than 2 alternative hash functions can be expected to utilize a larger part of the capacity of the hash table efficiently while sacrificing some lookup and insertion speed. ... Another generalization of cuckoo hashing consists in using more than one key per bucket.
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   Fuzzy control system

   In practice, the fuzzy rule sets usually have several antecedents that are combined using fuzzy operators, such as AND, OR, and NOT, though again the definitions tend to vary: AND, in one popular definition, simply uses the minimum weight of all the antecedents, while OR uses the maximum value. ... We start by defining the input temperature states using "membership functions":
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   Michael Atiyah

   In he found a proof of several generalizations using elliptic operators; this new proof used an idea that he used to give a particularly short and easy proof of Bott's original periodicity theorem. ... Some of the motivating examples included the Riemann–Roch theorem and its generalization the Hirzebruch–Riemann–Roch theorem, and the Hirzebruch signature theorem.
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   Derivative

   Another generalization concerns functions between differentiable or smooth manifolds. ... This definition is fundamental in differential geometry and has many uses — see pushforward (differential) and pullback (differential geometry).
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   Generalization

   In this way, every map has, to some extent, been generalized to match the criteria of display. ... Look up generalization in Wiktionary, the free dictionary.
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   Bessel function

   where Γ(z) is the gamma function, a generalization of the factorial function to non-integer values. ... Special hypergeometric functions
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   Lie derivative

   Various generalizations of the Lie derivative play an important role in differential geometry. ... Another generalization, due to Albert Nijenhuis, allows one to define the Lie derivative of a differential form along any section of the bundle Ωk(M, TM) of differential forms with values in the tangent bundle.
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    Maximum parsimony

    Mechanically, maximum likelihood analysis functions much like parsimony analysis, in that trees are scored based on a character dataset, and the tree with the best score is selected. ... Maximum likelihood (often just termed likelihood) has probably surpassed parsimony in popularity with nucleotide sequence data, and Bayesian phylogenetic inference, which uses the likelihood function, is becoming almost as prevalent.

Explore the following pages on Powerset:

• Trigonometric functions,
• Function (mathematics),
• Cuckoo hashing,
• Fuzzy control system,
• Michael Atiyah,
• Derivative,
• Generalization,
• Bessel function,
• Lie derivative,
• Maximum parsimony