word problem

word problem
a) A mathematics question that states verbally what is usually written using symbols (or, for geometry, in a picture).
b) A question of whether an element of a certain group (or monoid or the like) is the identity, given an obscure representation of that element.

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  • Word problem — The term word problem has several meanings: * word problem (mathematics education) is a type of textbook problem designed to help students apply abstract mathematical concepts to real world situations * word problem (mathematics) is the word… …   Wikipedia

  • Word problem for groups — In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a recursively presented group G is the algorithmic problem of deciding whether two words represent the same element. Although it… …   Wikipedia

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  • Word problem (mathematics) — In mathematics and computer science, a word problem for a set S with respect to a system of finite encodings of its elements, is the algorithmic problem of deciding whether two given representatives represent the same element of the set.… …   Wikipedia

  • Word problem (computability) — In computability theory, the word problem is a decision problem concerning formal languages. The problem is to construct an algorithm to decide for a given word if it belongs to a formal language or not.Word problemGiven a formal language L… …   Wikipedia

  • word problem — noun Mathematics the problem of determining whether two different products are equal, or two sequences of operations are equivalent …   English new terms dictionary

  • word problem — …   Useful english dictionary

  • Word (group theory) — In group theory, a word is any written product of group elements and their inverses. For example, if x , y , and z are elements of a group G , then xy , z 1 xzz , and y 1 zxx 1 yz 1 are words in the set { x , y , z }. Words play an important role …   Wikipedia

  • Word wrap — or line wrap is the feature, supported by most text editors, word processors, and web browsers, of automatically replacing some of the blank spaces between words by line breaks, such that each line fits in the viewable window, allowing text to be …   Wikipedia

  • Word error rate — (WER) is a common metric of the performance of a speech recognition system.The general difficulty of measuring performance lies in the fact that the recognized word sequence can have a different length from the reference word sequence (supposedly …   Wikipedia

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