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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 (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 ...
Though not architecturally very impressive, being milestones, they were an important part of communication and travel in a large empire. [3] Kos is an ancient Indian unit of distance. It can represent either a distance of approximately 1.8 kilometres (1.1 mi) or 3.2 kilometres (2.0 mi). Minar is a Persian word for tower.
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 ...
This is a timeline of pure and applied mathematics history.It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic ...
On Thursday morning, two crew members of SpaceX’s Polaris Dawn mission will attempt the first ever privately-funded spacewalk.. Billionaire Jared Isaacman and SpaceX employee Sarah Gillis plan ...