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A knot is tricolorable if each strand of the knot diagram can be colored one of three colors, subject to the following rules: [2] 1. At least two colors must be used, and 2. At each crossing, the three incident strands are either all the same color or all different colors. Some references state instead that all three colors must be used. [3]
An example is 1*2 −3 2. The 1* denotes the only 1-vertex basic polyhedron. The 2 −3 2 is a sequence describing the continued fraction associated to a rational tangle. One inserts this tangle at the vertex of the basic polyhedron 1*. A more complicated example is 8*3.1.2 0.1.1.1.1.1 Here again 8* refers to a basic polyhedron with 8 vertices.
Simpson's rules are a set of rules used in ship stability and naval architecture, to calculate the areas and volumes of irregular figures. [1] This is an application of Simpson's rule for finding the values of an integral, here interpreted as the area under a curve. Simpson's First Rule
The above eight rules apply to a chart of a variable value. A second chart, the moving range chart, can also be used but only with rules 1, 2, 3 and 4. Such a chart plots a graph of the maximum value - minimum value of N adjacent points against the time sample of the range.
All the 256 elementary cellular automaton rules [1] (click or tap to enlarge). In mathematics and computability theory , an elementary cellular automaton is a one-dimensional cellular automaton where there are two possible states (labeled 0 and 1) and the rule to determine the state of a cell in the next generation depends only on the current ...
The 3-2-1 rule There are three things you should cut out before bed in order to achieve a better night’s sleep. Breus broke down what they are and when to quit them with these simple guidelines ...
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If the car is behind door 2 – with the player having picked door 1 – the host must open door 3, such the probability that the car is behind door 2 and the host opens door 3 is 1 / 3 × 1 = 1 / 3 . These are the only cases where the host opens door 3, so if the player has picked door 1 and the host opens door 3, the car is ...