Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Pollard's rho algorithm
Pollard's rho algorithm, by John Pollard, is used to factorize integers. The expected running time of this algorithm is proportional to the square root of the size of the smallest prime factor of the composite number that is factorized.
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6. Using MATLAB, plot the root locus of the following systems: K(s +2)(s +3) G(s) = s(s+1) K KG(s)H(s) = %3D s(s' +4s +5) K(s+3) G(s) = s(s +1)(s+ 2)(s +4) K G(s) = s(s? + 6s + 25) K(s+2) G(s)H(s): s2 + 2s +3)
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Transcribed Image Text:6. Using MATLAB, plot the root locus of the following systems: K(s +2)(s +3) G(s) = s(s+1) K KG(s)H(s) = %3D s(s' +4s +5) K(s+3) G(s) = s(s +1)(s+ 2)(s +4) K G(s) = s(s? + 6s + 25) K(s+2) G(s)H(s): s2 + 2s +3)
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Root Locus of G(s) = K(s+2)(s+3)/s(s+1)
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Root Locus of KG(s)H(s) = K/s(s^2+4s+5)
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Root Locus of G(s) = K(s+3)/s(s+1)(s+2)(s+4)
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Root Locus of G(s) = K/s(s^2+6s+25)
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Root Locus of G(s)H(s) = K(s+2)/(s^2+2s+3)
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