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Ronald Kline
11 August 2, 1927. Harold
Black, a young Bell Labs
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college, invented the negative
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of insight” while riding the
Lackawanna Ferry acros

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Lecture 12: 9 October
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We have seen many practical problems for which no polynomial-time algorithm is currently
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1
Scribe: Wei Qian
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In the last lecture, we defined two classes of problems, P and NP. While P NP, it is still an
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November 6, 2009
6.046J/18.410J
Recitation 8
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Recall from yesterdays lecture:
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Intuitively, suppose you have some problem A that you dont know how to solve. If you can
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Andrew Makhorin <mao@gnu.org>
August 2011
1
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The Satisfiability Problem (SAT) is a classic combinatorial problem. Given
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f (x1 , x2 , . . . , xn ),
(1.1)
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Exercise. Show that if there is an efficient algorithm for the optimisation problem then there is an efficient algorithm for the decision problem of .
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1
Lecture 10
Fall 2007
Proving NP-completeness
In general, proving N P -completeness of a language L by reduction consists of the following
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2. Choose an NP-complete B language from which the reduction w

http:/www.nada.kth.se/~viggo/problemlist/c
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From Wikipedia, the free encyclopedia
In computational complexity theory, Karp's 21 NP-complete problems are a set of computational
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Theorem 1.: 3SAT is NP-complete
3SAT is the restriction of SAT to the case where every clause includes exactly three
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3SAT is in NP [obvious, if only becaus

JIM
A.
<BACK
LEDIN
f e a t u r e
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Hardware-in-the-loop (HIL) simulation is a technique for performing system-level testing of embedded systems
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% m-file generates an R-C circuit anti-aliasing filter
%
num = 1;
den = [RC 1];
omega = logspace(-1,3)
[mag, phase] = Bode(num, den, omega);
subplot(2,1,1) % Magnitude and Phase on one page
% plot magnitude in dB vs.

390 Chapter 6 The Frequency-Response Design Method
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For most systems, as we saw in the previous section, an increasing gain even-
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CS5371
Theory of Computation
Lecture 21: Complexity VI
(More NP-complete Problems)
Objectives
Proving NP-complete by reduction
Example NP-complete languages cover:
3SAT
CLIQUE
INDEPENDENT SET
VERTEX COVER
Conjuctive Normal Form
A literal is a Boolean var