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Searching for the Knowledge Framework of Discrete Mathematics (4th Edition)
Discrete Mathematics Chapter 65438 +0 Set and the Key Points and Emphasis of Review at the End of Operation 1. Understand the concepts of set, element, inclusion of set, subset, equation, complete set, empty set and power set, and master the representation method of set skillfully. The sum of some distinguishable things is called a set. Among them, things are called elements. Representation methods of sets: enumeration and description. Note: In the representation of a set, elements cannot appear repeatedly, and the elements in the set are out of order. Master the concept of set, including (subset), proper subset, set phase, etc. Note: Elements and sets, sets and subsets, subsets and power sets. 0? 2 and? 0? 0(? 0? 1), empty set? 0? 4 Relationship with all sets, etc. Empty set? 0? 4 is unique and a subset of any set. What if all subsets of the power set P(A)= A of the set A form a set? 0? 5A? 0? So 5 = n? 0? 5P(A)? 0? 5 = 2n.2 Master the union of sets A and B? 0? 6B, an A? 0? 5B, complement set ~A(~A complement set is always relative to a complete set). Difference set A-b, symmetry difference? 0? 3,A? 0? 3B=(A-B)? 0? 6 (b-a) or a? 0? 3B=(A? 0? 6B)-(A? 0? 5B) and other operations, and represented by venn diagram. Master the law of set operation (see page 9 ~ 1 1 in the textbook) (the nature of operation). 3. Master the method of proving set identities with the basic laws of set operations. The problem of set operation: first, set operation; The second is the simplification of expression; The third is identification. There are two ways to prove it: (1) Prove A = B, and then prove A? 0? 1B, A again? 0? 8B; (2) Derive the equation through the algorithm. Emphasis: the concept of set, the operation of set and the proof of set identity. Chapter II Review Points of Relations and Functions 1. Understand the concepts of ordered pair and Cartesian product, and master the operation of Cartesian product. An ordered pair is an ordered binary group, for example