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1. people.cs.pitt.edu › ~milos › coursesSets and set operations - University of Pittsburgh

   people.cs.pitt.edu › ~milos › courses

   Set operations Definition: Let A and B be sets. The intersection of A and B, denoted by A B, is the set that contains those elements that are in both A and B. • Alternate: A B = { x | x A x B }. Example: • A = {1,2,3,6} B = { 2, 4, 6, 9} • A B = { 2, 6 } U A B

2. www.math.fsu.edu › ~wooland › hm2edPART 1 MODULE 2 SET OPERATIONS, VENN DIAGRAMS SET OPERATIONS

   www.math.fsu.edu › ~wooland › hm2ed

   SET INTERSECTION, SET UNION, SET COMPLEMENT: SUMMARY. The intersection of two sets denotes the elements that the sets have in common, or the "overlap" of the two sets. S ∩ T = {x|x∈ S and x∈ T}. The union of two sets merges the two sets into one "larger" set. S ∪ T = {x|x ∈ S or x ∈ T}.

3. web.stanford.edu › class › archive1. Practice with Set Operations - Stanford University

   web.stanford.edu › class › archive

   CS103ACE Lecture 0-2 Practice Problems 1. Practice with Set Operations In these questions, let S be the set{3,2,1,0} and let T be the set {1,{1,2},4,6}. a. 2 vs. (1) Is 1 2 S?Is1 S? (2) Is {1,2}2S?Is{1,2} S?Is{1,2}2T?Is{1,2} T? (3) Is 2 2 T?Is{1}2T?Is{1} T? (4) Is S N?IsT N?(Inthisclass,wetreat0asanaturalnumber.) b. Cardinality

4. web.mit.edu › kayla › tcomSet Theory Problems Solutions - MIT

   web.mit.edu › kayla › tcom

   Three important binary set operations are the union (U), intersection (∩), and cross product (x). A binary operation is called commutative if the order of the things it operates on doesn’t matter. For example, the addition (+) operator over the integers is commutative, because for all possible integers x and y, x + y = y + x.

5. www.math.uh.edu › ~dlabate › settheory_AshlockBasic Set Theory - UH

   www.math.uh.edu › ~dlabate › settheory_Ashlock

   This chapter introduces set theory, mathematical in-duction, and formalizes the notion of mathematical functions. The material is mostly elementary. For those of you new to abstract mathematics elementary does not mean simple (though much of the material is fairly simple).

6. michael-franke.github.io › 01-handouts › 01-handout_sets-relations-functionsSets, relations, functions, and proofs - GitHub Pages

   michael-franke.github.io › 01-handouts › 01-handout_sets-relations-functions

   Basic notions of (naïve) set theory; sets, elements, relations between and operations on sets; relations and their properties; functions and their properties. Examples of informal proofs: direct, indirect and counterexamples.

7. people.math.sc.edu › cooper › math574f10MATH 574, Practice Problems Set Theory Problems - University of...

   people.math.sc.edu › cooper › math574f10

   Set Theory Problems: Solutions 1. True. Suppose (a;c) 2A C. Then a2Aand, since A B, we have that a2B. Similarly, c2Cand C Dimplies c2D. Therefore, a2Band c2D, so (a;c) 2B D. We may conclude that A C B D. 2. True. There are many such bijections; the following is just one example. De ne the function f : (0;1) !R by f(x) = tan(ˇ(x 1=2)). 3. True ...