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Word problem (mathematics) Decision problem pertaining to equivalence of expressions. In computational mathematics, a word problem is the problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.
Word problem for groups. In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a finitely generated group is the algorithmic problem of deciding whether two words in the generators represent the same element of . The word problem is a well-known example of an undecidable problem.
The word dynamic was chosen by Bellman to capture the time-varying aspect of the problems, and because it sounded impressive. [11] The word programming referred to the use of the method to find an optimal program, in the sense of a military schedule for training or logistics.
Word problem (mathematics education) In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation. As most word problems involve a narrative of some sort, they are ...
The dynamic predecessor problem is also commonly analyzed in the word RAM model, and was the original motivation for the model. Dan Willard used y-fast tries to solve this in O ( log w ) {\displaystyle O(\log w)} time, or, more precisely, O ( log log U ) {\displaystyle O(\log \log U)} where U is a bound on the values stored. [ 5 ]
Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal languages. The subject looks at letters or symbols, and the sequences they form. Combinatorics on words affects various areas of mathematical study, including algebra and computer science.
Travelling Salesman, by director Timothy Lanzone, is the story of four mathematicians hired by the U.S. government to solve the most elusive problem in computer-science history: P vs. NP. [77] Solutions to the problem are used by mathematician Robert A. Bosch in a subgenre called TSP art.
Amazons [ 1] Atomix [ 2] Checkers if a draw is forced after a polynomial number of non-jump moves [ 3] Dyson Telescope Game [ 4] Cross Purposes [ 5] Geography. Two-player game version of Instant Insanity. Ko -free Go [ 6]
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