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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]
The word disemvowel is a pun and portmanteau combining vowel and disembowel. [1] One of the earliest attestations of the word dates back to the 1860s. [ 2 ] The 1939 novel Finnegans Wake by James Joyce also uses it: "Secret speech Hazelton and obviously disemvowelled" .
Semantic satiation is a psychological phenomenon in which repetition causes a word or phrase to temporarily lose meaning for the listener, [1] who then perceives the speech as repeated meaningless sounds. Extended inspection or analysis (staring at the word or phrase for a long time) in place of repetition also produces the same effect.
Sleeping Beauty problem: A probability problem that can be correctly answered as one half or one third depending on how the question is approached. Three Prisoners problem , also known as the Three Prisoners paradox: [ 3 ] A variation of the Monty Hall problem .
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 ...
The construction yields proofs of unsolvability of several algorithmic problems for word-hyperbolic groups, including the subgroup membership problem, the generation problem and the rank problem. [23] Also, with a few exceptions, the group K in the Rips construction is not finitely presentable.
But a number of people do use the term "word problem" in a meaningful way. There appear to be a variety of definitions that are used in the literature. Some would agree your sample problem is a word problem, while others would not. I made an attempt to define a type of word problem that is often called a "story problem".