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

## Tuesday, August 18, 2009

### How I spent some spare study time

I have most of the work done on MS221 / TMA04 but since I haven't received the results of TMA03 yet, I wait before sending the TMA in. So, I can spend my study time freely. I am currently studying ( elementary ) Number Theory. I made some real progress during the weekend and today.

I completely understand and am thus able to prove, ( now and in the future, I am sure ) the formula for the Sigma number-theoric function. The sum of the dividers of a natural number. For example:

12 = 2^2 * 3
sigma(12)
= 1 + 2 + 3 + 4 + 6 + 12
= ( 1 + 2 + 4 ) + ( 3 + 6 + 12 )
= ( 1 + 2 + 4 ) * ( 1 + 3 )
= 7 * 4
= ( 2^3 - 1 ) / ( 2 - 1 ) * ( 3^2 - 1 ) / ( 3 - 1 )
= 28.
Furthermore, I am beginning to ger a practical understanding of Möbius inversion.

And I firmly consolidated knowlegde of and skills regarding
- Properties of integer division
- Euclidean algorithm for finding the GCD
- Linear diophantine equations
- Congruences
- etc.

## 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.)