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find the value (if any) that is bound to a given key. The argument to this operation is the key, and the value is returned from the operation. If no value is found, some lookup functions raise an exception, while others return a default value (such as zero, null, or a specific value passed to the constructor).
In languages which support first-class functions and currying, map may be partially applied to lift a function that works on only one value to an element-wise equivalent that works on an entire container; for example, map square is a Haskell function which squares each element of a list.
Sometimes "range" refers to the image and sometimes to the codomain. In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or; the image of the function. In some cases the codomain and the image of a function are the same set; such a function is called surjective or onto.
If is a family of sets over (meaning that ℘ where ℘ denotes the powerset) then a set function on is a function with domain and codomain [,] or, sometimes, the codomain is instead some vector space, as with vector measures, complex measures, and projection-valued measures. The domain of a set function may have any number properties; the ...
Sparse dictionary learning is a feature learning method where a training example is represented as a linear combination of basis functions and assumed to be a sparse matrix. The method is strongly NP-hard and difficult to solve approximately. [70] A popular heuristic method for sparse dictionary learning is the k-SVD algorithm. Sparse ...
LibreOffice (/ ˈ l iː b r ə /) [11] is a free and open-source office productivity software suite, a project of The Document Foundation (TDF). It was forked in 2010 from OpenOffice.org, an open-sourced version of the earlier StarOffice.
English function words may be spelled with fewer than three letters; e.g., 'I', 'an', 'in', while non-function words usually are spelled with three or more (e.g., 'eye', 'Ann', 'inn'). The following is a list of the kind of words considered to be function words with English examples. They are all uninflected in English unless marked otherwise:
For any k ∈ K, without trapdoor t k, for any PPT algorithm, the probability to correctly invert f k (i.e., given f k (x), find a pre-image x' such that f k (x' ) = f k (x)) is negligible. [3] [4] [5] If each function in the collection above is a one-way permutation, then the collection is also called a trapdoor permutation. [6]