PHY 711 Fall 2016 Lecture 37 1 PHY 7 11 Classical Mechanics and Mathematical Methods 111150 AM MWF Olin 107 Plan for Lecture 37 Review of mathematical methods More comments on complex numbers ID: 549379
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PHY 711 Fall 2016 -- Lecture 37
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PHY
7
11 Classical Mechanics and Mathematical Methods
11-11:50 AM MWF Olin 107
Plan for Lecture 37
Review of mathematical methods –
More comments on complex numbers
Topics concerning matricesSlide2
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PHY 711 Fall 2013 -- Lecture 34
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Evaluating contour integrals in the presence of poles
z
1
z
2
z
3z4Slide6
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A function is “
meromorphic
” in a region of the complex plane if it is analytic except for poles in that regionSlide7
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Useful theorem:Slide8
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C
P
P
ZSlide9
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Some useful properties of matricesSlide10
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Singular value decompositionSlide11
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Singular value decomposition -- continuedSlide12
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Example:
=
=Slide15
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Note that SVD can be applied to rectangular matrices
M= =
U
S
U
T