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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]
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 ...
Capacity building (or capacity development, capacity strengthening) is the improvement in an individual's or organization's facility (or capability) "to produce, perform or deploy". [1] The terms capacity building and capacity development have often been used interchangeably, although a publication by OECD-DAC stated in 2006 that capacity ...
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.