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The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
Then the word problem in is solvable: given two words , in the generators of , write them as words in and compare them using the solution to the word problem in . It is easy to think that this demonstrates a uniform solution of the word problem for the class K {\displaystyle K} (say) of finitely generated groups that can be embedded in G ...
Word problem from the Līlāvatī (12th century), with its English translation and solution. 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.
See also: the {{}} template. The #if function selects one of two alternatives based on the truth value of a test string. {{#if: test string | value if true | value if false}} As explained above, a string is considered true if it contains at least one non-whitespace character.
Word problem (mathematics education), a type of textbook exercise or exam question to have students apply abstract mathematical concepts to real-world situations; Word problem (mathematics), a decision problem for algebraic identities in mathematics and computer science; Word problem for groups, the problem of recognizing the identity element ...
Using two columns like this does have the disadvantage that searching the web page (either with a browser or a search engine) will usually not be able to find text that straddles the column boundary. Also, if the table has cell spacing (and thus border-collapse=separate ), meaning that cells have separate borders with a gap in between, that gap ...
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Many word problems are undecidable based on the Post correspondence problem. Any two homomorphisms, with a common domain and a common codomain form an instance of the Post correspondence problem, which asks whether there exists a word in the domain such that () = (). Post proved that this problem is undecidable; consequently, any word problem ...