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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]
In network coding, determining whether a network is solvable. [11] [12] Determining whether a player has a winning strategy in a game of Magic: The Gathering. [13] Planning in a partially observable Markov decision process. The problem of planning air travel from one destination to another, when fares are taken into account. [14]
On the other hand, the fact that a particular algorithm does not solve the word problem for a particular group does not show that the group has an unsolvable word problem. For instance Dehn's algorithm does not solve the word problem for the fundamental group of the torus. However this group is the direct product of two infinite cyclic groups ...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
An incorrectly entered URL could lead to a website operated by a cybersquatter. Typosquatting , also called URL hijacking , a sting site , a cousin domain , or a fake URL , is a form of cybersquatting , and possibly brandjacking which relies on mistakes such as typos made by Internet users when inputting a website address into a web browser .
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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.