# am_lect_06 - Announcements Second HW released last Friday...

This preview shows pages 1–4. Sign up to view the full content.

Announcements Second HW released last Friday, due this Friday http://www.cs.uiuc.edu/class/sp10/cs173

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Recap: How to prove/disprove statements Examples from last time : x Q , x 2 = 2.25 x Q , 2 x Q Today’s example: Show that the square of any odd number is odd k Z odd , k 2 Z odd k Z , k is odd k 2 is odd Prove Disprove Existential statements x , P ( x ) Universal statements x , P ( x ) Show P ( x ) is true for some specific x Show P ( x ) is false for some specific x Show P ( x ) is true with a general argument Show P ( x ) is false with a general argument Unpack/repack definition Proving an implication
Definitions of even and odd integers Definition : n Z is even if m Z , n = 2 m Definition : n Z is odd if m Z , n = 2 m + 1 Important : In definitions: A if B A B Everywhere else: A if B “if B then A B A Is zero even or odd?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern