Word problem

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 problem for encodings of sets in mathematics and computer science
* word problem for groups is the problem of recognizing the identity element in a finitely presented group


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  • 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

  • Word problem (mathematics education) — Abstract algebra has an unrelated term word problem for groups. In mathematics education, the term word problem is often used to refer to any mathematical exercise where significant background information on the problem is presented as text… …   Wikipedia

  • 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 — noun 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 ( …   Wiktionary

  • 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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