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its core is about establishing truths separate from sensual qualities, seeking patterns based upon these truths, systematically removing contradictions ...
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group is a set, G, together with an operation • (called the
group law of G) that combines any two elements a and b to form another element, denoted a • b or ab.To qualify as a
group, the set and operation, (G, •), must satisfy four requirements known as the
group axioms: Closure For all a, b in G, the result of the operation, a • b, is also in G. b[›]
On measures induced by vector-valued Gaussian processes Generalizing from geometrical
symmetry in the previous section, we say that a mathematical object is symmetric with respect to a given mathematical operation, if, when applied to the object, this operation preserves some property of the object. The set of operations that preserve a given property of the object form a
group.. In general, every kind of structure in mathematics will have
its own ...
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