MASSACHUSETTS INSTITUTE OF TECHNOLOGY
DEPARTMENT OF MECHANICAL ENGINEERING
2.161 Signal Processing - Continuous and Discrete
Fall Term 2008
Problem Set 6 Solution
Assigned: October 23, 2008
Due: October 30, 2008
Problem 1:
Given the dierence equation,
yn
6 856 Randomized Algorithms
David Karger
Handout #8, September 30, 2002 Homework 3 Solutions
Problem
We may think of asking a resident as ipping a coin with bias p=f. Flip the coin N times.
If you get k heads, set p = k/N . Note k has a binomial distribut
6 856 Randomized Algorithms
David Karger
Handout #5, September 18, 2002 Homework 3, Due 9/25
M. R. refers to this text:
Motwani, Rajeez, and Prabhakar Raghavan. Randomized Algorithms. Cambridge:
Cambridge University Press, 1995.
1. Based on MR 4.1. Suppos
2.092/2.093
FINITE ELEMENT ANALYSIS OF SOLIDS AND FLUIDS I
FALL 2009
Quiz #1
Instructor:
TA:
Prof. K. J. Bathe
Seounghyun Ham
Problem 1 (10 points):
Consider the solution of the problem shown below. A rod is spinning in steady-state at rad/sec.
The rod is
M SS CHUSETTS INSTITUTE OF TECHNOLOGY
DEP RTMENT OF MECH NIC L ENGINEERING
2.161 Signal Processing - Continuous and Discrete
Fall Term 2008
Problem Set 6: The
Transform and Linear Filters
Assigned: October 23, 2008
Due: October 30, 2008
Problem 1: A linea
2.094
FINITE ELEMENT ANALYSIS OF SOLIDS AND FLUIDS
SPRING 2008
Homework 8 - Solution
Instructor:
Assigned:
Due:
Prof. K. J. Bathe
04/10/2008
04/17/2008
Problem 1 (20 points):
Since H , h
b , we only consider the displacement u in the x1 -direction with th
2.092/2.093
FINITE ELEMENT ANALYSIS OF SOLIDS AND FLUIDS I
FALL 2009
Quiz #1-solution
Instructor:
TA:
Prof. K. J. Bathe
Seounghyun Ham
Problem 1 (10 points):
a)
x
(1)
u (1) (x)=H U= 1 60
x
60
0 U
x
x
(2)
u (2) (x)=H U= 0 1U
100 100
where U= [ U1
U2
T
U
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
DEPARTMENT OF MECHANICAL ENGINEERING
2.161 Signal Processing - Continuous and Discrete
Fall Term 2008
Solution of Problem Set 5: The Discrete Fourier Transform
Assigned: October 16, 2008
Due: October 23, 2008
Problem
6.001, Spring Semester, 20057Qu1'z I 7 Sample Solutions 2
Part 1: (20 points)
For each of the following expressions or sequences of expressions, state the value returned as the
result of evaluating the nal expression in each set, or indicate that the eval
M SS CHUSETTS INSTITUTE OF TECHNOLOGY
DEP RTMENT OF MECH NIC L ENGINEERING
2.161 Signal Processing - Continuous and Discrete
Fall Term 2008
Problem Set : The Discrete Fourier Transform
Assigned: October 16, 2008
Due: October 23, 2008
Problem 1:
A 128 mill