Page 1
6.189 Notes/Homework
Session 6
Administrivia
Name:
Instructions:
1. Err.complete the questions :). Putting a serious effort into this homework is mandatory for receiving
a passing grade in this course (note the word effort getting them all wrong is
Solution to Midterm 6.231 2009 Fall
Problem 1
(a) We consider a completely connected directed graph consisting of n nodes (each represents a currency).
The length of an arc from i to j is aij = ln rij . Now we consider the shortest path problem from some
6.231 Dynamic Programming
Midterm, Fall 2009
Problem 1
(30 points)
An enterprising nancier dreams of making it big in the currency market. He may trade between n currencies
c1 , . . . , cn and can convert a unit of ci to rij units of cj , for any currency
Problem 1 (Innite Horizon Problem, 60 points)
An engineer has invented a better mouse trap and is interested in selling it for the right price. At the
beginning of each period, he receives a sale o er that takes one of the values s1 , . . . , sn with corr
2.160 System Identification, Estimation, and Learning
Lecture Notes No. 17
April 24, 2006
12. Informative Experiments
12.1 Persistence of Excitation Informative data sets are closely related to " Persistence of Excitation", an important concept used in ad
2.160 Identification, Estimation, and Learning
Lecture Notes No. 2
February 13, 2006 2. Parameter Estimation for Deterministic Systems 2.1 Least Squares Estimation
u1 u2 M um
M
Deterministic System w/parameter
Linearly parameterized model
y
Input-output
2.160 System Identification, Estimation, and Learning
Lecture Notes No. 9
March 8, 2006
Part 2 Representation and Learning
We now move on to the second part of the course, Representation and Learning. You will learn various forms of system representation,
Packet Switched Networks
Messages broken into
Packets that are routed
To their destination
PS
PS
PS
Packet Network
PS
PS
PS
Buffer
PS
Eytan Modiano
Slide 2
Packet
Switch
Queueing Systems
Used for analyzing network performance
In packet networks, events ar
Review of Augmenting Paths
At each iteration: maintain a flow x.
Let G(x) be the residual network.
At each iteration, find a path from s to t in G(x).
In the shortest augmenting path algorithm, we kept
distance labels d( ), and we sent flow along the
shor
Data Link Layer (DLC)
Responsible for reliable transmission of packets over a link
Framing: Determine the start and end of packets (sec 2.5)
Error Detection: Determine when a packet contains errors (sec 2.3)
Error recovery: Retransmission of packets conta
Review of the Ford-Fulkerson Algorithm
x := 0;
create the residual network G(x);
while there is some directed path from s to t in G(x) do
let P be a path from s to t in G(x);
* := (P);
send * units of flow along P;
update the r's;
Max-Flow Min-Cut.
Let x*
Automatic Repeat ReQuest (ARQ)
When the receiver detects errors in a packet, how does it let the
transmitter know to re-send the corresponding packet?
Systems which automatically request the retransmission of missing
packets or packets with errors are cal
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
DEPARTMENT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE
6.004 Computation Structures
Spring 2009
Quiz #5: May 8, 2009
Name
Athena login name
Solutions
Score
Avg: 20.1
NOTE: Reference material and scratch diagrams ap
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Electrical Engineering and Computer Science
6.374: Analysis and Design of Digital Integrated Circuits
Problem Set # 4 Solutions
Fall 2003
Issued: 10/31/03
Problem 1: MTCMOS Sleep Device Sizing
DEVICE UND
5
Outline
What is register allocation
Webs
Interference Graphs
Graph coloring
Spilling
Splitting
S litti
More optimizations
Saman Amarasinghe & Armando Solar-Lezama
MIT
2
6.035
Storing values between def and use
g
Program computes with values
value defi
Massachusetts Institute of Technology
Department of Electrical Engineering and Computer Science
6.243j (Fall 2003): DYNAMICS OF NONLINEAR SYSTEMS
by A. Megretski
Take-Home Test 2 Solutions1
Problem T2.1
System of ODE equations
x(t) = Ax(t) + B(Cx(t) + cos