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anonymous
 4 years ago
what does the "moment" in mathematics means(physically) and how does it correlate with laplace transform?
anonymous
 4 years ago
what does the "moment" in mathematics means(physically) and how does it correlate with laplace transform?

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JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.0What's your definition of moment? I can think of at least two things it could mean, but I need you to be more precise.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0http://en.wikipedia.org/wiki/Moment_%28mathematics%29 i am trying to figure out what connection does it have with laplace transform

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.0Very little if you ask me. This concept of moment has to do mostly with probability theory and the characterization of distributions.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0"The Laplace transform is related to the Fourier transform, but whereas the Fourier transform resolves a function or signal into its modes of vibration, the Laplace transform resolves a function into its moments"  from wiki. I am trying to figure out what does "resolve a function into its moments" means. And btw, why is s variable complex in laplace transform?

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.0I think this phrase ""resolve a function into its moments" isn't very unhelpful. If you want to begin to get a sense of what the Laplace transform is doing, the beginning of this lecture does a good job: http://ocw.mit.edu/courses/mathematics/1803differentialequationsspring2010/videolectures/lecture19introductiontothelaplacetransform/

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I have just watched the lecture one hour ago and i understand that laplace transform is continous analogue of the power series of the, for example \[\sum_{0}^{\infty} a_n*x^n\]. But why is s a complex number?

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.0We might use complex numbers as a convenience in calculation, just as we do in ODEs. But the Laplace transform of a realvalued function is always a real valued function.
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