As of May 4 2007 the scripts will autodetect your timezone settings. Nothing here has to be changed, but there are a few things

## Sunday, November 21, 2010

### Watched MIT 18.03 - lecture 14

In this lecture we hear that Prof. Mattuck plays the cello. Yet another example of a mathematician with a love ( or talent ) for classical music. To the math.

This lecture is about the following differential equation that represents a system with a resonance frequency $\omega$ and the input to the system with frequency $\omega_1.$

$y'' + \omega^2y = \cos{(\omega_1x)}$

If $\omega_1 \neq \omega$ then the solution is: $y=C1\cos(\omega x)+C2\sin(\omega x)+\frac{\cos(\omega_1 x)}{\omega^2-\omega_1^2}$

If $\omega_1 = \omega$ then the solution is $y=C1\cos(\omega x)+C2\sin(\omega x)+\frac{x\sin(\omega x)}{2\omega }$

## Welcome to The Bridge

Mathematics: is it the fabric of MEST?
This is my voyage
My continuous mission
To uncover hidden structures
To create new theorems and proofs
To boldly go where no man has gone before

(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)