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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.
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 ...
First edition. Open Problems in Mathematics is a book, edited by John Forbes Nash Jr. and Michael Th. Rassias, published in 2016 by Springer (ISBN 978-3-319-32160-8).The book consists of seventeen expository articles, written by outstanding researchers, on some of the central open problems in the field of mathematics.
Problem books are textbooks, usually at advanced undergraduate or post-graduate level, in which the material is organized as a series of problems, each with a complete solution given. Problem books are distinct from workbooks in that the problems are designed as a primary means of teaching, not merely for practice on material learned elsewhere.
[3] An antithesis must always contain two ideas within one statement. The ideas may not be structurally opposite, but they serve to be functionally opposite when comparing two ideas for emphasis. [4] According to Aristotle, the use of an antithesis makes the audience better understand the point the speaker is trying to make. Further explained ...
A contronym is a word with two opposite meanings. For example, the word cleave can mean "to cut apart" or "to bind together". This feature is also called enantiosemy, [1] [2] enantionymy (enantio-means "opposite"), antilogy or autoantonymy. An enantiosemic term is by definition polysemic.
The Great Soviet Encyclopedia called Lolita "an experiment in combining an erotic novel with an instructive novel of manners". [3] The same description of the novel is found in Desmond Morris's reference work The Book of Ages. [4] A survey of books for women's studies courses describes it as a "tongue-in-cheek erotic novel". [5]