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Wednesday, April 28, 2010

Generating Functions

I am revising what I have learned on generating functions. GFs are extremely cool and powerful, they are among the mathematical objects I love most.

The sequence {1,3,9,27,81,243,...} has an equivalent GF 1 / ( 1-3x).

Something else, I have this strong desire to work on a real problem, to work on mathematics of my own. But it is too early there is still so much I can pick up from courses and the literature.

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(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.)