A politician wants to see what people in her district think about tax cuts. Which procedure would
be a good way of conducting a survey?
A)
Answer listeners' calls on a morning radio program.
B)
Invite the public to a meeting held on a Wednesday at 10:00 A
18.404/6.840 Fall 2006
Theory of Computation
Michael Sipser
FINAL EXAM SAMPLE PROBLEMS and SOLUTIONS
1. For each of the following statements, answer True, False or Open question according to our
current state of knowledge of complexity theory, as describe
q G R V c F AF A T I E G R V A E C I I G A IF C c F V C GF R E i q Re r i AF A R nF R V
%Bg3%Wgzvfd%33Qr Qr z7 v3QdWg8038HQSf%zvgpWgW8r
Ie V r w R C A I t Re i P r G r AF G c G R G r R R V E C R E C V I A IF C rF n R V r A r C G A r A r R P R E
f3Qx8qQ
2.094
FINITE ELEMENT ANALYSIS OF SOLIDS AND FLUIDS
SPRING 2008
Quiz #2
Instructor:
Prof. K. J. Bathe
Date:
05/08/2008
Problem 1 (10 points)
A computer program is used to perform a plane strain analysis. A total Lagrangian formulation is employed with
the
6 856 Randomized Algorithms
David Karger
Handout #17, October 30, 2002 Homework 9, Due 11/6
1. Suppose you have an estimation algorithm that will nd a (1 ) approximation to the
correct value with probability 3/4. Show that you can reduce the failure proba
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Mechanical Engineering
2.004 Dynamics and Control II
Fall 2007
Problem Set #8
Posted: Problems 13: Friday, Nov. 9, 07
Solution
In problems 13, you will explore the characteristics of the root locus. The
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Mechanical Engineering
2.004 Dynamics and Control II
Fall 2007
Problem Set #7
Posted: Friday, Nov. 2, 07
Solution
1. Nise problem 5 from chapter 8, page 476.
Answer: The open loop transfer function is
G(
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
2.111J/18.435J/ESD.79
Quantum Computation
Problem 1. Find a circuit with cn log n gates that gives a good approximation to QFT
on n qubits. (c is a constant.)
Problem 2. Problem 5.6 in Nielsen and Chuang. Show how to
2.092/2.093
FINITE ELEMENT OF SOLIDS AND FLUIDS I
FALL 2009
Homework 5- solution
Instructor:
TA:
Prof. K. J. Bathe
Seounghyun Ham
Assigned:
Due:
Problem 1 (20 points):
y
2
1
b
x
4
3
a
1 2x 2 y
h1 = 1+ 1+
4
a
b
1 2x 2 y
h2 = 1 1+
4
a
b
1 2x 2 y
h3 =