Power distribution network availability evaluation method based on complementary set operation
A utilization rate and distribution network technology, applied in the direction of electrical components, circuit devices, AC network circuits, etc., can solve the problems of inability to comprehensively and uniformly evaluate the distribution network availability and single distribution network mode
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[0024] 1. The remainder operation on the number axis
[0025] 1.1 Definition of remainder set
[0026] In mathematical set theory, the remainder set is also called the complement set, which is defined as: Suppose S is a set, A is a proper subset of S, and the set composed of all elements in S that do not belong to A is called the subset A in The complement (or remainder) of S is denoted as C S A, read as the remainder (complement) of A in S. In algebraic analysis, assuming that all points are distributed on the number axis, then the set S can be expressed as [0,S], the set A is expressed as [0,A], and the remainder can be expressed as a set:
[0027] C S A=[A,S](1)
[0028] On the number line, it is also possible to define the width of sets and cosets. For example, the widths of the sets [0,A] and [0,S] are A and S respectively; the width of the remainder set [A,S] is S-A.
[0029] 1.2 De Morgan's law
[0030] In the analysis of set theory, the operation for cosets is m...
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