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Unformatted text preview: Algorithms in Systems Engineering IE170 Lecture 4 Dr. Ted Ralphs IE170 Lecture 4 1 References for Today’s Lecture • Required reading – CLRS Chapter 3 • References – R. Miller and L. Boxer, Algorithms: Sequential and Parallel , 2000. – R. Sedgewick, Algorithms in C++ (Third Edition), 1998. IE170 Lecture 4 2 Some Notational Conventions • Unless otherwise specified, we will assume all functions map N + to R + . • Our usual function names will be f , g , and T . • We will also assume that n is a variable denoting the input size that takes on values in N + . • We will also use m as a variable taking on values in N + . • We will use a , b , and c to denote constants. • Generally, all variables and constants will take on values in N + . • Although it is common practice, I will try not to refer to a function by the notation “ f ( n ) ” because f ( n ) is a value, not a function. – Correct : “ f is a polynomial function.” – Incorrect : “ f ( n ) is a polynomial function.” IE170 Lecture 4 3 Growth of Functions • Question : Why are we really interested in the theoretical running times...
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 Spring '07
 Ralphs
 Exponential Function, Derivative, Systems Engineering, Analysis of algorithms, Entire function, N+. ·

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