Ch 9: Injectivity, Surjectivity, Inverses & Functions on Sets
DEFINITIONS:
1. The identity function on a set X is the function
Suppose
for all
is a function. Then:
The image of f is defined to be:
The
Math 310: Collected Homework 6 (Ch. 12-13)
1. The set of all possible grades at Random University is G = cfw_4.0, 3.9, 3.8, ., 0.7 cfw_0.0.
Suppose there are 15 students enrolled in Math 903 at RU. At
Math 310: Homework 7 (Ch 14, 19, 20)
In pbls 2 and 3 below, you may assume that the Continuum Hypothesis holds.
PART 1 (Ch 14, do by 5/26):
1. Prove that the set of the irrational numbers is uncountab
Math 310 Spring 2008: Proofs By Induction Worksheet Solutions
1. Prove that for all integers n 4, 3n n3 .
Scratch work:
(a) What is the predicate P(n) that we aim to prove for all n n0 ?
P (n) : 3n n3
Math 310: Proofs By Induction Worksheet
1. Prove that for all n 4, 3n n3 .
Scratch work:
(a) What is the predicate P(n) that we aim to prove for all n n0 ?
P (n) :
(b) What is n0 =? =
(c) So the base
CIS 487 Individual Assignment #7
1. Textbook, page 245, Assignment 6-5 Calculating Days Between Ordering and Shipping
CREATE OR REPLACE FUNCTION ord_ship_sf
(p_id NUMBER)
RETURN VARCHAR2
IS
lv_ship_tx
Lab 03 - Monitoring Malware
Part 1 - Using ProcMon
Use CryptoLocker.txt & CryptoLocker.PML. The txt file is a capture of process activity at the
time of the infection, the .PML is a log from Process M
CSC 456 Operating Systems
Summer 2017
Instructor: Dr. Stephen Krebsbach
Assignment #3
25 points Due: Friday June 16th 11:59 PM (place in Dropbox)
Please do the following from the text.
5.12
5.38
5.X1
CSC 456 Operating Systems
Summer 2017
Krebsbach
DUE: 8:00 AM CST Wed May 31st
. (dropbox)
Assignment #1 - Chapter 3 15 points
Please put completed assignment work into the dropbox.
Do the following: (
Part 2- Your Sample
Name of virus: Trojan.Win32.Sofacy.A
Part 2 of the mid-term project is to select your sample. Work as a group to research different
malware families and evaluate them on the follow
Math 310: Sample Problems for Homework 4
I. Review of formal DEFINITION of limit of a sequence:
Given a sequence of real numbers an , and a real number L, lim an = L i
n
> 0, N Z+ , such that n N, |a
Math 310: Review Problems for Final - Partial Solutions
1.
(i) Is L = 1/2 the limit of the sequence an =
denition of limit of a sequence.
n
2n+1 ?
Prove your answer using the
PARTIAL SOLUTION: Yes. Gi
Math 310, Homework 4 (Ch 7-9)
Collected Wednesday, April 30th
1. Problems II (page 117), problem 12.
2. Use the formal definition of limit of a sequence to prove that the sequence =
1
2
has limit equa
Math 310: Collected Homework 5
1. (a) Let B be a proper subset of a set A. Prove that if there exists a
bijection f : A B, then the set A must be innite.
(b) Construct an explicit bijective function f
Math 310: Review Problems for Final
Review the textbook and homework problems & proofs.
Review the midterm and midterm practice problems.
Additional practice problems:
1.
(i) Is L = 1/2 the limit of t
e Is Irrational
A. Bond, S. Honda, J. Nakamura, D. Pinkerton, S. Wu
May 28, 2008
1
Background
The mathematical constant e is very unique as it appears in many unexpected
places. e is used when continu
Math 310 : Some Review Problems for Midterm 1
1. Prove that if A, B and C are sets such that C A and C B, then C A B
2. For all real numbers x and y, prove that |x + y|<|x| + |y|.
You may use the deni
Pi is Irrational
By Jennifer, Luke, Dickson, and Quan
I.
Definition of Pi
II.
Proof of Lemma 2.5.1
III.
Proof that is irrational
IV.
Ivan Nivens Original Proof
Definition of
Pi is the Greek letter us
Math 310 Collected Homework #3: due Wed 4/23/2008
(Sets - plus a little induction and a few quantifiers)
1. Does the Trichotomy law hold for sets? In other words, given two sets A and B, is it true th
Ralph (Eddie) Rise
Suk-Hyun Cho
Devin Kaylor
RC4 Encryption
RC4 is an encryption algorithm that was created by Ronald Rivest of RSA Security. It is used
in WEP and WPA, which are encryption protocols
Graded Homework #1: Collected Wednesday 04/09
1. Which of the following expressions are statements? Circle the statements.
a) The US has 49 states.
b) I like to eat pizza and you hate going to the mov
Math 310 A&BSpring 2008 Syllabus
Mathematics seems to endow one with something like a new sense.
Charles Darwin, in N. Rose (ed.) Mathematical Maxims and Minims.
Instructor: Alexandra Nichifor (nichif
1.
2.
3.
4.
The host in the code needs to be changed, and possibly the port if necessary.
Find the files using searchsploit to find and download files.
Using the python script evil_pdf you can merge t