The once-sentence proof in multiple sentences

Can prime numbers be written as the sum of two squares? 13 can for sure (2² + 3²), but for example 3 can’t. Pierre de Fermat came up with a theorem on this topic, for which Don Zagier, an american mathematician gave a proof, which astonishingly is just one sentence long.

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Programmable semicolon, monads in Haskell

Monads are programmable semicolons, thats it. For a programmer a monad provides functions which allow for sequencing actions. Moreover between every two following actions, a specific “code snippet” gets executed. To make everything more clear, let’s begin with a little background information.

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Thinking backwards to move forward

Chess grandmasters, being able to look ten or even more moves ahead, was a myth more often than not, Maurice Ashley emphasizes in his inspiring TED talk. Rather than looking ahead, grandmasters ‘d think of simple end-game situations. In their minds, kind of working backwards, they’d try to simplify a chess game in its early phase to a promising end-game setting. Such settings involve fewer pieces and can be better grasped in the whole.

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Game theory and why knowing your future would crash the economy

Game theory is a branch of mathematics with a lot of applications. Especially in economics, game theory plays a very important role. That’s the reason why a lot of mathematicians are presented with the Nobel prize in economics. A widely known example is John Forbes Nash, who’s life is illustrated in the movie “A beautiful mind”.

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Solving sudokus without thinking about them. Well, maybe a little

Sudoku’s are the little number puzzle’s you find in every newspaper. Solving them can sometimes be quite frustrating. “Why not solve all of them, without even thinking about the puzzle itself?”, I said to myself, so I can finally turn to more productive work.

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Hey there

I am a computer science student from Vienna. Posts in this blog will be about all kinds of stuff from the fields of math, philosophy and of course computer science itself. Stay tuned, content’s ahead. Cheers!

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