Recent content by ar6

  1. A

    Defining a Function in a Partially Ordered Set - Homework Assistance

    Yea I was confused last night and reading too much into the question. I got it (i think) now.
  2. A

    Defining a Function in a Partially Ordered Set - Homework Assistance

    Homework Statement http://img99.imageshack.us/img99/7967/73673315fq3.jpg The Attempt at a Solution I am quite confused as to how to define the function. Any help would be appreciated.
  3. A

    Proving a subset of a cartesion cross product

    Homework Statement A, B, C and D are sets if A x B is a subset of C x D then A is a subset of C and B is a subset of D. The Attempt at a Solution My attempt by contraposition. Assume A is not a subset of C or B is not a subset of D. There exists an 'a' which is an element of A...
  4. A

    Solving Induction Proof w/ Homework: Step by Step Guide

    Homework Statement http://img87.imageshack.us/img87/469/17317851uu7.jpg Homework Equations The Attempt at a Solution First I have to show that P(1) is true |a1| ≤ |a1| This is true Assume above is true for all n. Show that |∑i=1n+1 ai| ≤ n+1∑i=1 |ai|...
  5. A

    Proving the Primality of a Natural Number with Divisibility Property

    Homework Statement I'm starting an introductory course in "Advanced math" and need a little homework guidance please. The question: Let a, b, and q be natural numbers, and q > 1. Prove that if q has the property: q divides a or q divides b whenever q divides ab, then q is prime...