CSE 240: Logic and Discrete Mathematics
Homework 5
Due: In class Thursday, 10-8-2015 11:30am
Make your solutions concise and formal. Your goal is to convince me that you know the solutions.
You are highly encouraged to typeset your solutions in Latex. Ple
CS 320L Applied Discrete Mathematics Spring 2017
Instructor: Marc Pomplun
Assignment #3 Solutions
Question 1: On Pigeons and Pigeonholes
Professor P. has an odd habit: He only buys red, green, and blue books, and he keeps them
in completely unordered stac
Python Idioms
Safe Hammad
Python Northwest
16th January 2014
What is an idiom?
The specific grammatical, syntactic, and
structural character of a given language.
A commonly used and understood way of
expressing an fact, idea or intention.
Why care about P
Volume 3, Issue 7, July 2013
ISSN: 2277 128X
International Journal of Advanced Research in
Computer Science and Software Engineering
Research Paper
Available online at: www.ijarcsse.com
Smile Detection via Bezier Curve of Mouth Interest Points
Pinky Rai,
ECE114 L / 256 Manual
Tim Lin & Saeed Monemi
California State Polytechnic University at Pomona
Department of Electrical and Computer Engineering
C / C+ Programming
Lab manual
Dr. Tim Lin
Dr. Saeed Monemi
Spring 2006
Lin & Monemi, page 1
Table of Contents
Python Guide Documentation
Release 0.0.1
Kenneth Reitz
March 09, 2016
Contents
1
2
3
4
Getting Started with Python
1.1 Picking an Interpreter . . . . .
1.2 Properly Installing Python . . .
1.3 Installing Python on Mac OS X
1.4 Installing Python on Windows
REDUCED ROW ECHELON FORM
PETE L. CLARK
1. Reduced Row Echelon Form
We work over the real numbers (but everything we say would be valid for matrices
with coecients in any field of scalars). For positive integers m, n we denote by
Mm,n the set of m n matric
MATH 304
Linear Algebra
Lecture 8:
Inverse matrix (continued).
Elementary matrices.
Transpose of a matrix.
Inverse matrix
Definition. Let A be an nn matrix. The inverse
of A is an nn matrix, denoted A1 , such that
AA1 = A1 A = I .
If A1 exists then the ma
CS 320L Applied Discrete Mathematics Spring 2017
Instructor: Marc Pomplun
Assignment #2 Sample Solutions
Question 1: Hilarious Numbers
Let us define that a positive integer greater than 1 is called hilarious if the sum of its unique
prime factors is a pri
CS 320L Applied Discrete Mathematics Spring 2017
Instructor: Marc Pomplun
Assignment #1 Sample Solutions
Question 1: Hair Splitting with Set Expressions
Let us define the successor of the set A to be the set A cfw_A. Find the successors of the
following s
CSE 240: Logic and Discrete Mathematics
Homework 10
Due: In class (or my mailbox, or online) Tuesday, 11-24-2015
Make your solutions concise and formal. Your goal is to convince me that you know the solutions.
You are highly encouraged to typeset your sol
CSE 240: Logic and Discrete Mathematics
Homework 6
Due: In class Thursday, 10-15-2015 11:30am
Make your solutions concise and formal. Your goal is to convince me that you know the solutions.
You are highly encouraged to typeset your solutions in Latex. Pl
CSE 240: Logic and Discrete Mathematics
Homework 2
Release: 9-3-2015
Due: In class Thursday, 9-10-2015 11:30am
Make your solutions concise and formal. Your goal is to convince me that you know the solutions.
You are highly encouraged to typeset your solut
CSE 240: Logic and Discrete Mathematics
Homework 7
Due: In class Thursday, 10-22-2015 11:30am
Make your solutions concise and formal. Your goal is to convince me that you know the solutions.
You are highly encouraged to typeset your solutions in Latex. Pl
CSE 240: Logic and Discrete Mathematics
Homework 9
Due: In class Thursday, 11-12-2015 11:30am
Make your solutions concise and formal. Your goal is to convince me that you know the solutions.
You are highly encouraged to typeset your solutions in Latex. Pl
CSE 240: Logic and Discrete Mathematics
Homework 8
Due: In class (or my mailbox) Thursday, 11-5-2015 11:30am
Make your solutions concise and formal. Your goal is to convince me that you know the solutions.
You are highly encouraged to typeset your solutio
CS 320L Applied Discrete Mathematics Spring 2017
Instructor: Marc Pomplun
Assignment #2
Posted on February 26 due by March 7, 5:30pm
Question 1: Hilarious Numbers
Let us define that a positive integer greater than 1 is called hilarious if the sum of its u
CS 320L Applied Discrete Mathematics Spring 2017
Instructor: Marc Pomplun
Assignment #3
Posted on March 8 due by March 21, 5:30pm
Question 1: On Pigeons and Pigeonholes
Professor P. has an odd habit: He only buys red, green, and blue books, and he keeps
t
CS 320L Applied Discrete Mathematics Spring 2017
Instructor: Marc Pomplun
Assignment #1
Posted on February 7 Due by February 14, 5:30pm
Question 1: Hair Splitting with Set Expressions
Let us define the successor of the set A to be the set A cfw_A. Find th
CS 320L Applied Discrete Mathematics Spring 2017
Instructor: Marc Pomplun
Assignment #4
Posted on April 6 due by April 13, 5:30pm
Question 1: Rolling Dice
Let X be the random variable that is defined as the greater of the two numbers that appear
when a pa
Chapter 7 Special Applications of Matrices
7-1 Condition Numbers of Matrices
Norm of a matrix: |A|= max
x0
Rayleigh quotient: R(x)=
Ax
x
, where A is an nn matrix.
Bx, x
for x0, and B=B*.
x, x
max R( x)
largest absolute value
Theorem (a) B=B* x 0
are
Matrixgeneralities
Summary
1.
Particularmatrices.1
2.
Matrixoperations.2
Scalarmultiplication:.2
Sumoftwomatricesofthesamedimension(
)
Multiplicationoftwomatrices and ofdimensions
Transposition(
and
and
.2
:.3
or ):.3
Traceofasquarematrixofordern,
Chapter 6 Jordan Forms of Matrices
6-1 Jordan Forms and Dot Diagrams
Generalized eigenvector: X V, X0. If fulfills (A-I)PX=0 for some positive integer P.
Generalized eigenspace: K =cfw_x V: (A-I)P(x)=0 for some P.
3 1 2
Eg. For A= 1 0
5 , find the genera
93IE.doc
:
2/13/2005
-93
= 1 =
, .
, CH3:3,
:.
[1]. (4%)
93()
The number of independent row vectors in a matrix is the same as the number of
independent column vectors.
08C. CH814.
True. rank.
[2]. (4%)
(CH813)
93()
If H is a row-echelon form of a matri
93EEC.doc
:
2/13/2005
= 1 =
-93()
, .
, CH3:3,
:.
[1]. (30%)
93()
Determine if the following statements are true or false(1% each) and provide a short proof if
it is true or any explanation/counterexample if it is false(2% each).
(a) If the only solutio