Equivalence Relations and Partitionng Subsets
What is the equivalence relation on (1, 2, 3, 4, 5, 6) that is induced by the partition with {1, 3, 6}, {2, 5}, and {4} as its partitioning subsets.
Discrete Mathematics 10 basic questions
i have about 10 questions with some proofs do be done.
I have about 8 questions to be done with some proofs.
Graphs, Vertices, Hamiltonian Circuits and Relations
Question for 8.1 Proof: First, I show that the relation is symmetric. If holds, then there is an edge associate to the two vertices and . Since is a simple graph, then it is undirected. is an edge, then is the same edge. So holds. Thus is symmetric. Second, I show that is not reflexive. Since is a simple ...continues
Generating Permutations and Combinations
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)-subsets of {1,2...,n}. Prove that if A1,A2,A3...AM are the r subsets in lexigraphic order then complements Am ...continues
Can discrete data be made into continuous data (and / or vice versa)? Use examples if it will help explain.
