Bus 320: Chordia
Practice Problems: II.B
1. Introduction and Overview
From RWJ
Chapter 1: Questions and Problems: 2, 7, 12
II.A Financial Statements and Analysis
From RWJ
Chapter 2: Questions and Problems 5, 10, 14, 22
Chapter 3: Questions and Problems 18
Chapter 7. Matrix Games
19. Examples and Basic Concepts (With some
slides from lectures by Prof. R. J. Vanderbei)
Vladimir Oliker
[email protected]
April 21, 2009
Optimization, Math 346
1
Optimization, Math 346
2
Strategy - a choice of a row i for h
Chapter 6. Transportation Problem
1. Phase I - nding an initial feasible solution.
Potentials.
Vladimir Oliker
[email protected]
April 1, 2010
Optimization, Math 346
1
In the beginning.
A homogeneous product stored at warehouses in Bedford and Scran
Exam #1 formula sheet
Reminders:
1 km = 103 m
1 mm = 10-3 m
1 m = 10-6 m
1 nm = 10-9 m
quadratic equation:
ax 2 bx c
x
Equations and useful constants
ke 8.99 109 N m 2 / C 2
0
8.85 10
g
1.6 10
12
C2 / N m 2
9.8 m / s 2
e
19
C (charge of electron)
mass of
EXAM #1
Physics 142 000 Dr. Weeks
February 9, 2001
Name _
The Emory Honor Code is in effect for all exams for this course. Do not give or
receive help from others taking this exam. For this exam you are allowed one 4x6
card with notes on both sides. Sign
Here we discuss how to do a 2-opt move. For a more general discussion
see http:/en.wikipedia.org/wiki/2-opt
In our particular situation, we have a cyclic tour on all V vertices,
and e is an edge from G (our geometric graph). We want to try adding
e to cre
To get started, you first make a personal copy of this directory.
On a lab (Linux) machine, do the following:
cd ~cs323000/share/hw4
make copy
cd ~/cs323/hw4
You only need to edit TSP.java and GeomGraph.java (see the "TODO"
items in their comments). I
The mirror/lens equation:
1
p
The magnification equation(s):
M
1
q
1
f
q
p
himg
hobj
For a mirror or lens, the in side is the side the light rays come in from. The out side is the
side the light rays come out of. For a mirror, the out side is the same sid
EXAM #1
Physics 142 001 Dr. Weeks
February 11, 2002
Name _
The Emory Honor Code is in effect for all exams for this course. Do not give or receive
help from others taking this exam. Some students may be taking this exam at alternate
times; do not discuss
Chapter 7. Game Theory
Vladimir Oliker
[email protected]
April 20, 2010
Optimization, Math 346
1
7.2. Lower and upper game values
Consider a game with the payoff matrix (to player A)
A1
A2
.
Ai
.
Am
B1
a11
a21
.
ai1
.
am1
1
B2
a12
a22
.
ai2
.
am2
2
MATH 2203 Final Exam (Version 1) Solutions May 4, 2011 S. F. Ellermeyer Name Instructions. Your work on this exam will be graded according to two criteria: mathematical correctness and clarity of presentation. In other words, you must know what you are do
MATH 211 SECTION 2
MIDTERM 2
Please note: Show all your work. Correct answers not accompanied by sufcent explanations will receive little or no credit. No calculators, computers, PDAs, cell phones, or
other devices will be permitted.
#1
#2
Useful formulae
Name:
This is closed-book, 75-minute test. It should be possible to complete the first eight
problems within fifteen minutes, leaving at least an hour for the final eight problems.
Problems 1-4: Simplify each Boolean expression to one of the following ten
Name:
This is 75-minute test. It should be possible to complete the first eight problems within
fifteen minutes, leaving at least an hour for the final eight problems.
Problems 1-4: Simplify each Boolean expression to one of the following ten expressions:
Name:
Problems 1-4: Simplify each Boolean expression to one of the following 12 expressions:
0 , 1 , A , B , AB , A + B , A B , A + B , A B , AB , A B + AB , AB + A B
Each answer may be used as many times as necessary.
1. A AA + BA(BB + 1) =
2. 0 + 1 + A
Name:
Problems 1-4: Simplify each Boolean expression to one of the following 12 expressions:
0 , 1 , A , B , AB , A + B , A B , A + B , A B , AB , A B + AB , AB + A B
Each answer may be used as many times as necessary.
1. A AA + BA(BB + 1) = 0 + BA(0 + 1)
Name:
Problem 1: Write any valid Boolean expression for Q as a function of the input variables.
Problem 2: Eight points. Complete the truth table for the circuit shown in Problem 1.
A
B
C
Q
0
0
0
_
0
0
1
_
0
1
0
_
0
1
1
_
1
0
0
_
1
0
1
_
1
1
0
_
1
1
1
_
P
Name:
Problems 1-4: Simplify each Boolean expression to one of the following ten expressions:
0, 1, A, B, AB, A+B, A B , A + B , A B , A B
Each answer may be used as many times as necessary.
1. A(A+ A )+B = AA+A A +B
= A+0+B
= A+B
by the distributive law