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**Unformatted text preview: **Functions:- A function F from a set A to a set B- for every element x in set A, there is an element y in set B such that (x, y) E (is an element in) F and:- For all x in A and y and z in B if (x, y) Graphs- a visualization of a relation or kinds of relations. dots represent objects (as in set theory or predicate calculation), edges (links) show relationships between of among objects. Polignac’s conjecture- Every odd number greater than 1 can be expressed as a sum of a power of 2 and a prime number 3 = 2^0 + 2 5 = 261 + 3 7 = 2^2 + 3 9 = 2^2 + 5 Why can’t we prove if it’s true, but is it true?- Begin with a positive integer, If the number is odd multiply by three and add 1, if the number is even divide by 2. You will eventually end up with 1 ex. 12, 6, 3, 10, 5, 16, 8, 4, 2, 1...

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- Spring '14