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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 ...
Thus the filling problem can be stated equivalently as a question about Riemannian surfaces, that are not placed in Euclidean space in any particular way. Conjecture (Gromov's filling area conjecture, 1983): The hemisphere has minimum area among the orientable compact Riemannian surfaces that fill isometrically their boundary curve, of given ...
In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of algebraic variety in several ways, such as taking account of multiplicities (the equations x = 0 and x 2 = 0 define the same algebraic variety but different schemes) and allowing "varieties" defined over any commutative ring (for example, Fermat curves are defined over the integers).
An image schema (both schemas and schemata are used as plural forms) is a recurring structure within our cognitive processes which establishes patterns of understanding and reasoning. As an understudy to embodied cognition , image schemas are formed from our bodily interactions, [ 1 ] from linguistic experience, and from historical context.
In the guillotine cutting problem, both the items and the "bins" are two-dimensional rectangles rather than one-dimensional numbers, and the items have to be cut from the bin using end-to-end cuts. In the selfish bin packing problem, each item is a player who wants to minimize its cost. [53]
Dec. 7—Here are a few extra notes, quotes, stats, videos and whatever else I could empty out of the old notebook after Wednesday's 84-61 UNM win vs. UC Santa Barbara in the Pit: Lobos getting ...
Flood fill, also called seed fill, is a flooding algorithm that determines and alters the area connected to a given node in a multi-dimensional array with some matching attribute. It is used in the "bucket" fill tool of paint programs to fill connected, similarly colored areas with a different color, and in games such as Go and Minesweeper for ...
A schema is needed to execute, carry out, or realize this unifying idea and put it into effect. This schema is a sketch or outline of the way that the parts of knowledge are organized into a whole system of science. A schema which is sketched, designed, or drafted in accordance with accidental, empirical purposes results in mere technical unity.