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On Wikipedia and other sites running on MediaWiki, Special:Random can be used to access a random article in the main namespace; this feature is useful as a tool to generate a random article. Depending on your browser, it's also possible to load a random page using a keyboard shortcut (in Firefox , Edge , and Chrome Alt-Shift + X ).
The 5th roots of unity in the complex plane form a group under multiplication. Each non-identity element generates the group. In abstract algebra, a generating set of a group is a subset of the group set such that every element of the group can be expressed as a combination (under the group operation) of finitely many elements of the subset and their inverses.
This eliminates the need to place the hat on a surface, and also allows the performer to give the hat to an audience member for inspection. However, producing a rabbit from a hat using nothing but sleight of hand is a much more difficult trick. [2] This trick is also traditionally performed for children, since it is a basic trick with basic props.
Lavarand, also known as the Wall of Entropy, is a hardware random number generator designed by Silicon Graphics that worked by taking pictures of the patterns made by the floating material in lava lamps, extracting random data from the pictures, and using the result to seed a pseudorandom number generator. [1]
Once the random relations have been chosen, the resulting random group is defined in the standard way for group presentations, namely: is the quotient of the free group with generators ,, …,, by the normal subgroup generated by the relations , …, seen as elements of :
The manipulations of the Rubik's Cube form the Rubik's Cube group. The Rubik's Cube group (,) represents the structure of the Rubik's Cube mechanical puzzle.Each element of the set corresponds to a cube move, which is the effect of any sequence of rotations of the cube's faces.
A cyclic group is a group which is equal to one of its cyclic subgroups: G = g for some element g, called a generator of G. For a finite cyclic group G of order n we have G = {e, g, g 2, ... , g n−1}, where e is the identity element and g i = g j whenever i ≡ j (mod n); in particular g n = g 0 = e, and g −1 = g n−1.
Alan Newman is an American serial entrepreneur based in the U.S. state of Vermont, who co-founded Gardener's Supply Company, Seventh Generation Inc., Magic Hat Brewing Company, and Alchemy & Science, Boston Beer Company's “incubator business.” [1] [2]