Week of 10/29

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Revision as of 14:55, 31 October 2007

A few examples of the importance of Gaussian distributions

It turns out that the FWHM is nontrivial: this link shows how to compute it

the answer turns out to be $2 \sqrt{2 \ln 2} \sigma \approx 2.3548 \sigma$

Two nice links on Sinc functions: from Mathworld and Wikipedia

The following two figures are from Barbara Romanowicz, a seismologist at the University of California, Berkeley.

@@ Line 10: / Line 10: @@
 [http://en.wikipedia.org/wiki/Maxwell%E2%80%93Boltzmann_distribution Maxwell Boltzmann velocity distribution]
+----
 It turns out that the FWHM is nontrivial:   [http://mathworld.wolfram.com/GaussianFunction.html this link shows how to compute it]
 the answer turns out to be <math>2 \sqrt{2 \ln 2} \sigma \approx 2.3548 \sigma </math>
+----
+[http://www-history.mcs.st-and.ac.uk/history/Biographies/Dirac.html Paul Dirac's bio]
+[[Image:Dirac.png]]
+Two nice links on Sinc functions:
+[http://mathworld.wolfram.com/SincFunction.html from Mathworld] and
+[http://en.wikipedia.org/wiki/Sinc_function Wikipedia]
+The following two figures are from [http://seismo.berkeley.edu/~barbara/ Barbara Romanowicz], a seismologist at the University of California, Berkeley.
+[[Image:Slide0002.gif]]
+[[Image:Slide0030.gif]]
+{{PDF|filename=11_1_06.pdf|title=lecture notes from 10/31/07}}
+{{mathematica|filename=Sincinterpolation.nb|title=Sinc function interpolation via the samping theorem}}