venn diagrams

venn diagrams : Venn diagrams or set diagrams are diagrams that show all hypothetically possible logical relations between a finite collection of sets (groups of things). Venn diagrams were conceived around 1880 by John Venn. They are used in many fields, including set theory, probability, logic, statistics, and computer science. A Venn diagram is constructed with a collection of simple closed curves drawn in the plane. The principle of these diagrams is that classes or sets be represented by regions in such relation to one another that all the possible logical relations of these classes can be indicated in the same diagram. That is, the diagram initially leaves room for any possible relation of the classes, and the actual or given relation, can then be specified by indicating that some particular region is null or is notnull. Venn diagrams normally consist of overlapping circles. For instance, in a two-set Venn diagram, one circle may represent the group of all wooden objects, whi....   More from Wikipedia

venn diagrams : Euler diagrams or Euler circles are a diagrammatic means of representing sets and their relationships. They are the modern incarnation of Euler circles, which were invented by Leonhard Euler in the 18th century. Venn and Euler diagrams were incorporated as part of instruction in set theory..   More from Wikipedia

  I have lost you to sleep again. sleeping as we do on opposite sides of a venn diagram I read the time in shadows on the wall - the shards of light through the slats on your window ah ha ha ha! I ease myself from under your languid arm, fumble on my boots and hear you breathe through your alarm I disarm it for you, you rarely heed it anyway I wouldn't want it to intrude upon your dream, school bell ring messing up the play ah ha ha ha! A note, penned clumsily in this century's type-ruined ...

  Bro. Balogun Arinwaka (Gary C. Booker) shows how to use and read Venn Diagrams

Question : Use Venn diagrams to illustrate the following sets: (a) A B(b) (A B ) U C (c) A (A U B)(d) A U (A B) (e) (A U B) (A U C)

Answer : Check http://home.stny.rr.com/dclark11/Answers/Venn1.html -- You might be able to print it out?? (will be there until question is resolved) The Venn diagram shows all the possible combinations. The Karnaugh map below it ( http://en.wikipedia.org/wiki/Karnaugh_map ) shows which blocks are in the answer to each of your questions a-e So this doesn't go on forever, I'm going to make some changes to your notation for the rest of this. This makes it quicker for me to type it. I hope you can follow. Intersection A B = AB Union A U B = A + B Identity? AA = A also A + AB + AC = A a. A' B includes all the areas that have both A' and B in them. There's 2, A' B C and A' B C' = A' B (C + 'C) b. (A B ) U C = A'B' + C includes all blocks with C in it (4) plus all blocks that have A'B' and C' (since we've already counted all the C blocks) There's 1 more of those - A'B'C' Total of five blocks c. A (A U B) = AA+AB = A; 4 blocks ha....   More from Yahoo Answers

Question : I'm trying to finish an assignment, and this is the only question that I haven't finished yet.....I'm not sure how to do it. The question says: Given: U is a proper subset of the real numbers A is a subset of B B is a proper subset of C D is a subset of B but, D is not a proper subset of A a) Draw two different venn diagrams that would satisfy the given relationships. b)For each venn diagram, create sample sets Please help!

Answer : a. Draw big circle for C. Inside of it draw smaller for B. Inside B draw two circles for A and D. You can draw last two circles in multiple ways: with intersection, without intersection, with A inside D. This way you will have 3 different Venn diagrams. b. Now write some numbers in every region on your diagram. Write your sets as all numbers inside corresponding circle: A, B, C or D. U for example could be integers, or rational numbers...   More from Yahoo Answers

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