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What is a partition in discrete mathematics?
First you must understand the term of disjoint sets. This is when both sets have no elements in common.Ex: A={2,3,4} B={1,5,9}. Since A has no similar numbers in B and likewise, they are disjoint.A is a partition of a finite or infinite collection of nonempty sets G= {A,B,C,D...},Iff:1) A is in the union of all {A,B,C,D...}2) The sets A,B,C,D...are all mutually disjoint (no overlapping of elements)So in other words, A=/B=/C=/D=/... ---(=/ is 'does not equal')---i.e. (A intersect B) = {} ---- ({} is an empty set)---
Can two disjoint sets be equivalent?
Yes,Because not all disjoint no equivalent other have disjoint and equivalent
What is a joint sets and disjoint sets?
Joint sets:Joint sets are those which have common elements Disjoint sets : A pair of sets is said to be disjoint if their intersection is the empty set. That is to say, if they share no elements. All of the usual operations can be performed on disjoint sets, so long as the operation makes sense. (For example, taking the complement of one with respect to the other could pose problems.)
What is the symbol for joint sets?
There is no such symbol for joint sets. Actually, there is a representation for joint sets. That is: The sets are joint if A ∩ B is not empty. The sets are disjoint if A ∩ B is empty.
What is the argument that A equals B B equals C so A equals C?
A=B , A-B=B-B , A-B =0 B=C , B-B=C-B, 0=C-B So A-B=0 but also C-B=0 A-B=C-B ...add +b ...A-B+B=C-B+B , A=C
