Group Theory
J.S. Milne
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Version 3.14
March 17, 2017
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The first version of these notes was written for a first-year graduate algebra course. As in
most such courses,
Microsoft Excel 15.0 Answer Report
Worksheet: [air pollution.xlsx]Sheet1
Report Created: 4/19/2013 8:42:31 PM
Result: Solver found a solution. All Constraints and optimality conditions are satisfied.
CONTROLLING AIR POLLUTION
The NORI & LEETS CO., located in the city of Steeltown, is one of the major producers of
steel in its part of the world. The uncontrolled air pollution from the companys furn
MATH107 Quiz-3
1(0.5). Simplify expression with complex numbers.
Write the answer in form a+bi, where a and b are real numbers.
(6 4i)(5 + 9i)
Solution: 6 ( 5+9 i )4 i ( 5+9 i )=30+54 i20 i36 i 2=30+3
Answer 2
a) HYPOTHESES
Null hypothesis- There is no significant association between teaching quality and
research quality
Alternate hypothesis- There is significant association between teaching qualit
Answer 9
means detector says you Lied
+ means detector says you told the Truth
L means person did Lie
T means person told the Truth
We have the following information
P( | L ) = 0.90
P( + | L ) = 0.10
Answer 4
Null hypothesis- Non-sense equation does not increase peoples perception of the quality of a
paper.
Alternate hypothesis- Non sense equation increases peoples perception of the quality of a p
6.
2
x + 4 x8
This can be written as
2
2
4
4
2
Step 1: x + 4 x8= x+ 2 2 8
( ) ()
[If we have the quadratic equation
in completing the square we first write this equation in this form
(
2
x+
2
Step 2:
Answer 7
a) We have mean = 100 and SD = 15, z = 1.96 for 95% confidence interval and we assume
25% or 0.25 Margin of error in the sample size
Sample size = (z2*SD)/(ME2) = (1.96^2 * 15)/(0.25^2) = 92
Answer 8
a) We have
And
^p2=
^p1=
498
=0.798=0.80 , n1 = 624
624
370
=0.53 , n2 = 696
696
Critical z value for 70% confidence interval is 1.04
CI =
( ^p1 + ^p 2 ) z
CI =
( 0.80+0.53 ) 1.04
^p 1( 1 ^p
Security in Computing, 4th Ed, Pfleeger
Chapter 7
Security in Networks
Part 1: Threats in Networks
1
Chapter 7
Chapter 7. Security in Networks
In this chapter
Networks vs. stand-alone applications and
Database and Data
Mining Security
CHAPTER 6: SECURITY IN COMPUTING
Database
Adatabaseis
a collecton ofdataand a set ofrulesthat organize the data
by specifying certain relatonships among the data.
R
Security in Computing, 4th Ed, Pfleeger
Chapter 4
Protection in GeneralPurpose Operating Systems
1
Chapter 4
In this chapter
Protection features provided by general-purpose
operating systems:
protecti
Security in Computing, 4th Ed, Pfleeger
Chapter 2
Elementary Cryptography
1
Chapter 2
In this chapter
Concepts of encryption
Cryptanalysis: how encryption systems are
"broken"
Symmetric (secret key) e
Administrating
Security
CHAPTER 8: SECURITY IN COMPUTING
Security Plan
Asecurity
planis a document that describes how an organization will address its
security needs.
The plan is subject to periodic
Legal and Ethical
Issues in Computer
Security
CHAPTER 11: SECURITY IN COMPUTING
11.1 Protecting Programs and
Data
Copyrights, patents, and trade secrets are legal devices that can protect
computers,
Chapter
p 2
Elementary Encryption
Ch l P.
Charles
P Pfleeger
Pfl
& Sh
Sharii LLawrence Pfl
Pfleeger, SSecurity
i in
i Computing,
C
i
4th Ed., Pearson Education, 2007
1
y In this chapter
y Concepts
C
o
Security in Computing, 4th Ed, Pfleeger
Chapter 7
Security in Networks
Part 2: Network Security Control
1
Previous chapters have presented several
strategies for addressing security concerns,
Chapter
Security in Computing, 4th Ed, Pfleeger
Chapter 7
Security in Networks
Part 3: Firewalls and IDS
1
Chapter 7
Firewalls
A firewall is a device that filters all traffic between a
protected or "inside" n
Security in Computing, 4th Ed, Pfleeger
Chapter 2
Elementary Cryptography
1
Chapter 2
The Data Encryption Standard (DES)
developed for the U.S. government
1976
intended for use by the general public
a
Security in Computing, 4th Ed, Pfleeger
Chapter 1
Is There a Security Problem
in Computing?
1
Crossing the street is risky
Chapter 1
Risk is a fact of life
But, you still cross the street!
Using compu
A sample is drawn from the the normal population with the following Observation. Test the hy
population mean is 4 against the alternative mean more than 4 . Take standard deviation of th
X
3
6
7
8
6
M
Security in Computing, 4th Ed, Pfleeger
Chapter 2
Elementary Cryptography
1
Chapter 2
The Data Encryption Standard (DES)
Double and Triple DES
the DES 56-bit key length is not long enough for some
peo
An electrical firm manufactures light bulbs that have a length of life th
normally distributed, with mean equal to 800 hours and a standard
deviation of 40 hours. Find the probability that a random sa
Chapter
p 3
Program Security
Ch l P.
Charles
P Pfleeger
Pfl
& Sh
Sharii LLawrence Pfl
Pfleeger, SSecurity
i in
i Computing,
C
i
4th Ed., Pearson Education, 2007
1
y In this chapter
y Programming
P
i e
QUES12:
A fabric manufaturer believes that proportion of order for raw material arriving late is p
that 3 or fewer arrive late,the hypothesis that p=0.6 should be rejected in favour of alte
Find the p