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A key number wheel (or power number wheel) is a wheel in which one or more numbers (called key numbers or power numbers) appear in every combination of the wheel. Example: Pick 5, 7 numbers wheel, with 2 key numbers (1 and 2), 2 if 2 and 3 if 4 for the full set and 4 if 5 for the filtered set:
Now form wheel 2 with length 3 × 2 = 6 by first extending wheel 1 up to 6 and then deleting 3 times each number in wheel 1, to get 1 2 3 5. The first number after 1 for wheel 2 is 5; note it as a prime. Now form wheel 3 with length 5 × 6 = 30 by first extending wheel 2 up to 30 and then deleting 5 times each number in wheel 2 (in reverse ...
Players wager on the numbers 1 through 6. If the number appears on one of the dice in the winning segment, the dealer pays at 1 to 1; on two of the dice, 2 to 1; on all three of the dice, 3 to 1. One example of a dice wheel, manufactured by H. C. Evans & Co. of Chicago (or its successor), is divided into 54 segments:
The notation in its basic form counts the number of leading wheels, then the number of driving wheels, and finally the number of trailing wheels, numbers being separated by dashes. [3] For example, a locomotive with two leading axles (four wheels) in front, then three driving axles (six wheels) and then one trailing axle (two wheels) is ...
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A prime sieve or prime number sieve is a fast type of algorithm for finding primes. There are many prime sieves. The simple sieve of Eratosthenes (250s BCE), the sieve of Sundaram (1934), the still faster but more complicated sieve of Atkin [1] (2003), sieve of Pritchard (1979), and various wheel sieves [2] are most common.
The following is pseudocode which combines Atkin's algorithms 3.1, 3.2, and 3.3 [1] by using a combined set s of all the numbers modulo 60 excluding those which are multiples of the prime numbers 2, 3, and 5, as per the algorithms, for a straightforward version of the algorithm that supports optional bit-packing of the wheel; although not specifically mentioned in the referenced paper, this ...
A wheel graph with n vertices can also be defined as the 1-skeleton of an (n – 1)-gonal pyramid. Some authors [1] write W n to denote a wheel graph with n vertices (n ≥ 4); other authors [2] instead use W n to denote a wheel graph with n + 1 vertices (n ≥ 3), which is formed by connecting a single vertex to all vertices of a cycle of ...