Math stuff

Working through problems in stats, probability and other math disciplines as part of my self-study plan.

Sunday, August 21, 2011

How To Prove It - Chapter 4 - 4.1

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Relations - Ordered Pairs and Cartesian Products 1. (a) T = {(a, b) ∈ P x P | a is a parent of b). (b) T = {(c, u) ∈ C x U | there i...
Tuesday, August 9, 2011

How To Prove It - Chapter 3 - 3.4

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Proofs involving Conjunctions and Biconditionals Note: A lot of the first few problems are of the same type. Skipped the similar ones. ...
Monday, August 8, 2011

How To Prove It - Chapter 3 - 3.3

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Proofs involving Quantifiers 1. Givens ∃x(P(x) → Q(x)) Goal ∀x P(x) → ∃x Q(x) Revised givens ∃x(P(x) → Q(x)) ∀x P(x) Goal...
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Tuesday, August 2, 2011

How To Prove It - Chapter 3 - 3.2

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Proofs involving negations and conditionals 1. (a) Givens P → Q - i Q → R - ii Goals P → R Suppose P. Then from (i), Q. Since Q, from...
Friday, April 29, 2011

How To Prove It - Chapter 1 - 1.2

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1.2 Sentential Logic 1. (a) P Q -P ∨ Q T T F F F T F ...
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