Search results
Results from the WOW.Com Content Network
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 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.
Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities.
The word problem asks whether two words are effectively the same group element. By relating the problem to Turing machines , one can show that there is in general no algorithm solving this task. Another, generally harder, algorithmically insoluble problem is the group isomorphism problem , which asks whether two groups given by different ...
For instance, in a standard semantics for first-order logic, the formula (,) would be true on an interpretation if the entities denoted by and stand in the relation denoted by . Since predicates are non-logical symbols , they can denote different relations depending on the interpretation given to them.
In computer science, Σ represents the set of symbols that form an alphabet (see also linguistics) Relational algebra uses the values σ a θ b ( R ) {\displaystyle \sigma _{a\theta b}(R)} and σ a θ v ( R ) {\displaystyle \sigma _{a\theta v}(R)} to denote selections , which are a type of unary operation .
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.