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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]
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.
Heading names of sections (including subsections) should be unique on a page. Using the same heading more than once on a page causes problems: An internal link (wikilink) to a section, in the form [[Article name#Section heading]], will link only to the first section on the page with that name, which may not be the intended target of the link.
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 ...
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The dotted-decimal section-numbering scheme commonly used in scientific and technical documents [6] is defined by International Standard ISO 2145. [citation needed] A document may also be considered to be divided into sections by its headings and subheadings, which may be used for a table of contents.
Spaces between the equal signs in a heading and the text of the heading make no difference. The software that powers Wikipedia renders the page exactly the same, no matter what the number of spaces. But a blank space at the beginning of a heading, just like a blank space at the start of any line with text, is always wrong. It puts a blue dotted ...
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 ...