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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]
A simple timeline may take half an hour to compose (or even less, when a suitable example is taken as a basis). Large timelines may take a few hours for composition and fine-tuning. However, adding to or correcting a timeline, no matter how complex, should be a relatively straightforward affair, even for contributors who have no expert ...
Many, if not most, undecidable problems in mathematics can be posed as word problems: determining when two distinct strings of symbols (encoding some mathematical concept or object) represent the same object or not. For undecidability in axiomatic mathematics, see List of statements undecidable in ZFC.
Two simple examples of what is possible. For more extensive examples see Template:Timeline WW II - Pacific Theatre, Template:Timeline_History_of_Computing, de:Template:Zeitleiste Tour-de-France-Sieger. A nice example of a diagram that is not a timeline in the general sense is Vocal and instrumental pitch ranges.
The word problem is a well-known example of an undecidable problem. If A {\displaystyle A} is a finite set of generators for G {\displaystyle G} , then the word problem is the membership problem for the formal language of all words in A {\displaystyle A} and a formal set of inverses that map to the identity under the natural map from the free ...
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 ...
Timelines describe the events that occurred before another event, leading up to it, causing it, and also those that occurred right afterward that were attributable to it. Timelines are often bulleted lists or tables.
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