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A list of examples of generating sets follow. Generating set or spanning set of a vector space: a set that spans the vector space. Generating set of a group: A subset of a group that is not contained in any subgroup of the group other than the entire group.
- Electric Generator
In electricity generation, a generator[1] is a device that...
- Generating set of a group
In abstract algebra, a generating set of a group is a subset...
- Motor–generator
A motor–generator is a device for converting electrical...
- Electric Generator
In electricity generation, a generator[1] is a device that converts motion-based power (potential and kinetic energy) or fuel-based power (chemical energy) into electric power for use in an external circuit.
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.
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5 Ιουν 2020 · In a category with coproducts, the existence of a generating set (in the second sense) of projective objects (cf. Projective object of a category) implies that every object is an epimorphic image of a projective object (namely a suitable coproduct of copies of the generators).
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.
A motor–generator is a device for converting electrical power to another form. Motor–generator sets are used to convert frequency, voltage, or phase of power. They may also be used to isolate electrical loads from the electrical power supply line.
