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curried function

資料來源 : Free On-Line Dictionary of Computing

curried function
     
         A {function} of N {arguments} that
        is considered as a function of one argument which returns
        another function of N-1 arguments.  E.g. in {Haskell} we can
        define:
     
        	average :: Int -> (Int -> Int)
     
        (The parentheses are optional).  A {partial application} of
        average, to one Int, e.g. (average 4), returns a function of
        type (Int -> Int) which averages its argument with 4.  In
        uncurried languages a function must always be applied to all
        its arguments but a {partial application} can be represented
        using a {lambda abstraction}:
     
        	\ x -> average(4,x)
     
        Currying is necessary if {full laziness} is to be applied to
        functional sub-expressions.
     
        It was named after the logician {Haskell Curry} but the
        19th-century logician, {Gottlob Frege} was the first to
        propose it and it was first referred to in ["Uber die
        Bausteine der mathematischen Logik", M. Schoenfinkel,
        Mathematische Annalen. Vol 92 (1924)].
     
        {David Turner} said he got the term from {Christopher
        Strachey} who invented the term "currying" and used it in his
        lecture notes on programming languages written circa 1967.
        Strachey also remarked that it ought really to be called
        "Schoenfinkeling".
     
        Stefan Kahrs  reported hearing somebody in
        Germany trying to introduce "scho"nen" for currying and
        "finkeln" for "uncurrying".  The verb "scho"nen" means "to
        beautify"; "finkeln" isn't a German word, but it suggests "to
        fiddle".
     
        ["Some philosophical aspects of combinatory logic",
        H. B. Curry, The Kleene Symposium, Eds. J. Barwise,
        J. Keisler, K. Kunen, North Holland, 1980, pp. 85-101]
     
        (2002-07-24)
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