The Power Set of a Countably Infinite Set is Uncountable
Theorem 1
If S is a countably infinite set, 2S (the power set) is uncountably infinite.
Proof: We show 2S is uncountably infinite by showing that 2N is uncountably infinite. (Given the
natural bijec
Zhang, Yumin
TR RD Fall 2016 10/21/1995 CEEB: 5156 CAID: 14946694
FERPA: Waived
WRITING SUPPLEMENT DARTMOUTH COLLEGE
Writing Questions
W
Please tell us about your primary area of academic interest
I want to study the intersection of computer science and g
6 Finite Sets 39
(b) Show the converse of (a) holds if B is nonempty.
(c) Show that if A is nonempty, each A, is nonempty. Does the converse hold?
(We will return to this question in the exercises of 19.)
(d) What is the relation between the set A U B and
ACM International Collegiate Programming Contest
2009 East Central Regional Contest
McMaster University
University of Cincinnati
University of Michigan Ann Arbor
Youngstown State University
October 31, 2009
Sponsored by IBM
Rules:
1. There are eight quest
2015 Mid-Atlantic Regional Programming Contest
This is a courtesy copy of the problem set for the Mid-Atlantic Regional contest. It is an
abbreviated version of the problem set provided to the teams. Omitted are several pages of rules
and explanations of
ACM International Collegiate Programming Contest
2014 East Central Regional Contest
Grand Valley State University
University of Cincinnati
University of Windsor
Youngstown State University
November 8, 2014
Sponsored by IBM
Rules:
1. There are nine problem
ACM International Collegiate Programming Contest
2010 East Central Regional Contest
Grand Valley State University
University of Cincinnati
University of Windsor
Youngstown State University
October 23, 2010
Sponsored by IBM
Rules:
1. There are eight proble
Name: Yumin Zhang
Date: Sept. 3rd, 2015
CS 230 Short Assignment 2
A. CS Culture
1. Prof. Bruce Donald
2. MIT
3. They research on computational biology and microeclectromecanical system.
4. Donalds lab stimulates the molecular architecture of infectious di
Epilogue
Well, Ive been talking to you for a semester and now Im going to quit. In some ways I would
like to apologize, and other ways not. I hopein fact, I knowthat two or three dozen of you
have been able to follow everything with great excitement, and
Chapter 2
Instructions: Language
of the Computer
The repertoire of instructions of a
computer
Different computers have different
instruction sets
But with many aspects in common
Early computers had very simple
instruction sets
2.1 Introduction
Instruction