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This problem has a graph-theoretic solution in which a graph with four vertices labeled B, G, R, W (for blue, green, red, and white) can be used to represent each cube; there is an edge between two vertices if the two colors are on the opposite sides of the cube, and a loop at a vertex if the opposite sides have the same color. Each individual ...
One strategy for solving this version of the hat problem employs Hamming codes, which are commonly used to detect and correct errors in data transmission. The probability for winning will be much higher than 50%, depending on the number of players in the puzzle configuration: for example, a winning probability of 87.5% for 7 players.
Problems that involve many governing factors, where most of them cannot be expressed numerically can be well suited for morphological analysis. The conventional approach is to break a complex system into parts, isolate the parts (dropping the 'trivial' elements) whose contributions are critical to the output and solve the simplified system for ...
Domain coloring plot of the function f(x) = (x 2 − 1)(x − 2 − i) 2 / x 2 + 2 + 2i , using the structured color function described below. In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane. By assigning points on the ...
The color wheel was designed to allow teachers to demonstrate how colors mixed and worked together. The wheel was based on the Maxwell Disk, [1]: p. 20, 34 a simple tool created by cutting a radial split in two or more colored disks and joining them. By doing so, colors could be mixed by rotating the disks to show a different proportion of each ...
An 1895 mechanical color wheel, used for experiments with color vision A mechanical four-petal (red, green, blue, white) color wheel inside a 1998 digital light processing (DLP) video projector A color wheel or other switch for changing a projected hue (e.g., for an optical display) is a device that uses different optics filters or color gels ...
In optics, chromatic aberration (CA), also called chromatic distortion, color aberration, color fringing, or purple fringing, is a failure of a lens to focus all colors to the same point. [ 1 ] [ 2 ] It is caused by dispersion : the refractive index of the lens elements varies with the wavelength of light .
According to Jensen & Toft (1995), the problem was first formulated by Nelson in 1950, and first published by Gardner (1960). Hadwiger (1945) had earlier published a related result, showing that any cover of the plane by five congruent closed sets contains a unit distance in one of the sets, and he also mentioned the problem in a later paper (Hadwiger 1961).