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The nLab is listed on MathOverflow as a standard online mathematics reference to check before asking questions. [6] Many questions and answers link to the nLab for background material. [7] It is one of two wikis mentioned by the mathematical physicist John C. Baez in his review of math blogs for the American Mathematical Society. [8]
In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that of a smaller set of objects, together with a set of operations that can be applied to it, that result in the creation of a larger collection of objects, called the generated set .
The free group F S with free generating set S can be constructed as follows. S is a set of symbols, and we suppose for every s in S there is a corresponding "inverse" symbol, s −1, in a set S −1. Let T = S ∪ S −1, and define a word in S to be any written product of elements of T. That is, a word in S is an element of the monoid ...
The most common form that these questions take is as an arithmetic exercise. A court decision ruled that a mathematical STQ must contain at least three operations to actually be a test of skill. [4] For example, a sample question is "(16 × 5) - (12 ÷ 4)" (Answer: 77).
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The Miracle Octad Generator is a 4x6 array of combinations describing any point in 24-dimensional space. It preserves all of the symmetries and maximal subgroups of the Mathieu group M 24, namely the monad group, duad group, triad group, octad group, octern group, sextet group, trio group and duum group. It can therefore be used to study all of ...