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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 capacities (in terms of a liquid measure such as liters or gallons). Initially each jug contains a known integer volume of ...
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.
Capacity theory is the theoretical approach that pulled researchers from Filter theories with Kahneman's published 1973 study, Attention and Effort positing attention was limited in overall capacity, that a person's ability to perform simultaneous tasks depends on how much "capacity" the jobs require. Further researchers - Johnson and Heinz ...
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 above minimization problem can then be formulated as a minimum-cut problem by constructing a network, where the source is connected to the projects with capacity r(p i), and the sink is connected by the machines with capacity c(q j). An edge (p i, q j) with infinite capacity is added if project p i requires machine q j.
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]
"Negative capability" is the capacity of artists to pursue ideals of beauty, perfection and sublimity even when it leads them into intellectual confusion and uncertainty, as opposed to a preference for philosophical certainty over artistic beauty. The term, first used by John Keats in 1817, has been subsequently used by poets, philosophers and literary theorists to describe the ability to ...
The word problem was one of the first examples of an unsolvable problem to be found not in mathematical logic or the theory of algorithms, but in one of the central branches of classical mathematics, algebra. As a result of its unsolvability, several other problems in combinatorial group theory have been shown to be unsolvable as well.