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generalization uses operators

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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.

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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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    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.
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    Radio Amateur Civil Emergency Service

    Such RACES station licenses are no longer issued, and any operations under the RACES rules would now use licensed amateur radio operators as control operators.
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    Operator

    Often, an "operator" is a function which acts on functions to produce other functions (the sense in which Oliver Heaviside used the term); or it may be a generalization of such a function, as in linear algebra, where some of the terminology reflects the origin of the subject in operations on the functions which are solutions of differential equations. ... Linear operators
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    Cartographic generalization

    Map generalization can take many forms, and is designed to reduce the complexities of the real world by strategically reducing ancillary and unnecessary details. ... Operators in automated generalization
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    Self-adjoint operator

    We consider generalizations of this operator below. ... This reduction uses the Cayley transform for self-adjoint operators which is defined in the next section.
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    Stable model semantics

    The syntax of autoepistemic logic uses a modal operator that allows us to distinguish between what is true and what is believed. ... Instead of stable models, this generalization uses answer sets, which may include both atoms and atoms prefixed with strong negation.
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    Closure operator

    Closure operators in topology ... Suppose you have some logical formalism that contains certain rules allowing you to derive new formulas from given ones.
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    Operators in C and C++

    These are parsed exactly like their symbolic equivalents, and can be used in place of the symbol they replace. ... Prefix vs. postfix operators in C and C++
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    Unitary operator

    A unitary element is a generalization of a unitary operator. ... This can be seen as a consequence of the spectral theorem for normal operators.

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generalization uses operators