Exercise 1.2.5 As shown in the previous exercise, the only element that commutes with element of D2n
for n > 2 is ri where n|2i. If n is odd then the requirements that i 0,.,n and i = kn together impl
Exercise 1.1.25 Given that x2 = 1, we see that (ab)(ab) = b(aa)b = 1. Right-multiplying by b1a1 yields ab
= ba.
Exercise 1.1.26
Were told that H is nonempty so it contains some element h; its closed u
Exercise 1.1.9b
The identity is (1,0), associativity and closure are trivial. The inverse of (a,b) can be found by solving (a +
b2)x = 1 and is given by: (a,b)1 = a a2 2b2 , b a2 2b2 Exercise 1.1.10
T
Exercise 1.1.8a G has an identity element (1 G and z1 = z = 1z) and an inverse (zn = 1 implies (z1)n = 1
so z1 G) and complex multiplication is associative. To show closure:
7 x,y G assumed (m,n Z+)xm
Solutions 1.15 -1.17
Exercise 1.1.5
To be a group, each element a would need a multiplicative inverse b such that ab = 1; but 0 has no such
inverse.
Exercise 1.1.6 (b) is not closed: 1/14 + 1/14 = 1/7
Exercise 1.1.1 (a) is not associate: 3(21) 6= (32)1. (b),(c),and (d) can be shown to be associative by
grinding out the algebra and showing that a(bc) = (ab)c. (e) is not associative, as can be shown
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Cost of Custumer Returns
Existing Machine
Price of yarn sold
Reimbursement Cost
Liability multipler
Returns as % of volume
Returns as % of revenue
Returns as cost/lb
$5.0
$25.0
5.0
1.50%
7.50%
$0.077
What is it?
Why companies use it?
Why is it important to shareholders?
Different techniques used
Capital Budgeting Is a planning process used by companies to determine which projects to invest in
and
Marshall University MTH 102 Syllabus highlights
1. Attendance is mandatory.
a. Each class missed will affect your final grade. Unexcused absences will directly affect
your grade.
b. Students who compl
VICTORIA CHEMICALS PLC
THE MERSEYSIDE AND ROTTERDAM PPROJECTS
I would choose Merseyside project rather than Rotterdams not only for its superior
prospect based on the quantitative criteria, but also f
Fall 2016
MTH 102 and MTH 102B Passwords
MTH 100 Passwords
Assessment
Final Test
Module I Diagnostic
Module I Test
Module J Diagnostic
Module J Test
Module K Diagnostic
Module K Test
Module L Diagnost
Mutual Fund Comparison Assignment
1. Find three different mutual fund prospectuses for the same type of fund (e.g., growth,
index, global).
2. Compare the three mutual funds by completing the chart be
American Revolution: POLITICAL CARTOON
You will read the information in the powerpoints and create your
own story of the American Revolutionas a Comic Book!
This project will give you the opportunity
Computer Skills and Applications Department
Business/Public Service Division
GREENVILLE TECHNICAL COLLEGE
Course Title: Microcomputer Applications
COURSE SYLLABUS
Course Number: CPT 170 (OFFICE 2010 V
Mr. Sinks AP European History Unit 1: 1450-1648
Questions: Protestant Reformation Crash Course #218
Directions: Watch the video World History Crash Course #218: Luther and the Protestant Reformation o
COM112 - Oral Communication
Sample Topical Outline
General Purpose: (what are you trying to do inform, persuade, entertain)
Specific Purpose: (what do you hope to achieve by delivering this presentati