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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 solver must pour the water so that the first and second jugs both contain 4 units, and the third is empty. Water pouring puzzles (also called water jug problems , decanting problems , [ 1 ] [ 2 ] measuring puzzles , or Die Hard with a Vengeance puzzles ) are a class of puzzle involving a finite collection of water jugs of known integer ...
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 carrying capacity of an environment is the maximum population size of a biological species that can be sustained by that specific environment, given the food, habitat, water, and other resources available.
Capacity utilization or capacity utilisation is the extent to which a firm or nation employs its installed productive capacity (maximum output of a firm or nation). It is the relationship between output that is produced with the installed equipment, and the potential output which could be produced with it, if capacity was fully used. [ 1 ]
In Smale's words, the third version of the problem "is the main unsolved problem of linear programming theory." While algorithms exist to solve linear programming in weakly polynomial time , such as the ellipsoid methods and interior-point techniques , no algorithms have yet been found that allow strongly polynomial-time performance in the ...
The Toyota Y engine is a series of overhead valve straight-four petrol engines manufactured by Toyota from 1982 through 1996. The Y engine has mostly been used in commercial and off-road vehicles.
After the Wall Street crash of 1929, when the Dow Jones Industrial Average dropped from 381 to 198 over the course of two months, optimism persisted for some time. The stock market rose in early 1930, with the Dow returning to 294 (pre-depression levels) in April 1930, before steadily declining for years, to a low of 41 in 1932.