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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 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 ...
The spangram describes the puzzle’s theme and touches two opposite sides of the board. It may be two words. The spangram highlights in yellow when found. An example spangram with corresponding ...
Let be the point of intersection of the circumference of the pond on the y-axis (opposite to ) below the origin. Then let acute ∠ t F q {\displaystyle \angle tFq} be φ {\displaystyle \varphi } . The area under the involute is a function of R 3 {\displaystyle R^{3}} because it is an integral over a quadratic curve.
Enclosure or inclosure [a] is a term, used in English landownership, that refers to the appropriation of "waste" [b] or "common land" [c], enclosing it, and by doing so depriving commoners of their traditional rights of access and usage.
W. W. Boone, Decision problems about algebraic and logical systems as a whole and recursively enumerable degrees of unsolvability. 1968 Contributions to Math. Logic (Colloquium, Hannover, 1966), North-Holland, Amsterdam. W. W. Boone, Roger Lyndon, Frank Cannonito, Word Problems: Decision Problem in Group Theory, North-Holland, 1973.
Some troops leave the battlefield injured. Others return from war with mental wounds. Yet many of the 2 million Iraq and Afghanistan veterans suffer from a condition the Defense Department refuses to acknowledge: Moral injury.