Skillful Observer
Der andere Blick

Apr.
02

You know complex numbers right? Where a
complex number
i=sqrt(-1)
Now what happens if you want to know the outcome of
sqrt(-1)^{\tiny{\sqrt(-1)}}=??

This is where the fun begins. Euler gave us this great tool
e^{i \pi} = -1
which becomes
e^{\frac{i \pi}{2}}=-{1}^{1/2}
simpyfies to
e^{{\frac{i \pi}{2}}}=i
and because the logarithm is valid for complex numbers
\frac{i \pi}{2}=ln(i)

Because power works a litte different for complex numbers
z^\omega=e^{\omega \ln(z)}
you end up with
i^{i}=e^{i ln(i)}
and we know that
i\frac{\pi}{2}=ln(i)

HOORAY
i^{i}=e^{i (i \frac{\pi}{2})}=e^{-\frac{\pi}{2}}
and
i^{i}=0,207879576

Owned by Wikipedia.
Math is fun again o/

März
31

Yep, the start as early as 31st March this year. The first one i found was about DirectX 11 and how it will support raytracing. Seeing as realtime raytracing might be just around the corner, i can see people falling for this.

We will see where April 1st is leading us this year.

  • Urin powering a whole bar.
  • xkcd.com refers to questionablecontent.net which refers qwantz.com which refers to xkcd.com
  • Blu-Ray defeatet by HD-DVD
  • WoW character class -> Bard
  • BBC’s flying penguins
  • Assassins Solid
  • Starcraft II Unit -> Tauren Marine
  • Youtube redirects any frontpage video links to a rick roll video
  • WoW Europe brings Molten Core to Consoles
  • Diablo Loot Pinata
  • Virgin + Google = Virgle
  • März
    29

    Hitomi no oku ga boyake te mie nai
    kokoro no soko no kimochi wa aru no ?

    sekai no subete wo te ni shi ta toshite mo
    sore ga anata no shiawase na no ?

    Why kodoku na sora wo miageru no ?
    Why waratte mise te yo

    kotoba ni suru no ga heta na
    anata no seikaku wakaru kara

    tooi mukashi ni nani ga atta no ?
    shisen wo sorasu anata no hitomi ni

    hitori de samishii yoru ni dakishime rareru
    sonna atataka sa shitteru ?

    Why doushite katachi ni kodawaru no ?
    Why kokoro wo hirai te
    ookina nimotsu wo seotta
    anata wo ukeire rareru chikara
    aru wa shinji te mi te ?
    Ohh..Yeaahh

    jiyuu na hito wa bukiyou de ?
    jiyuu na hito wa fuan de ?

    Why kodoku na sora wo miageru no ?
    Why waratte mise te yo
    kotoba ni suru no ga heta na
    anata no seikaku wakaru kara
    shinji te mi te

    Lyrics found here.
    Amazon link here.

    März
    17

    flowchart

    März
    14

    If you live in an anglo-american territory, today your date today (3.14.) resembles the first 3 digits of [tex]pi[/tex] = 3.14. I read on heise.de that the celebration is getting more common in european countries too.

    Happy [tex]pi[/tex]-Day

    Jan.
    15

    Out of this list I liked that one the most:

    If we go back to the beginning, we shall find that ignorance and fear created the gods; that fancy, enthusiasm, or deceit adorned them; that weakness worships them; that credulity preserves them and that custom, respect and tyranny support them in order to make the blindness of men serve their own interests. If the ignorance of nature gave birth to gods, the knowledge of nature is calculated to destroy them.

    Baron D’Holbach, cited in Jonathan Miller

    I often asked myself if I try to explain my surroundings because I like the idea to shove it into the faces of the faithfull for my own enjoyment. I’m still not sure if that’s not true. Lets see how this goes. In the meantime … read the quotes.

    Jan.
    08

    Made by the BBC, an classic Point & Click adventure is availible at cdx-thegame.com.

    I started to play it for a few minutes and it is made extremly well. Filmed cutscenes and good animations just make the game work. Not to mention that the story is very mysterious and incentive. Of course it’s intuitive interface makes playing this thing really easy, so trying it is recommended even if you never had experience with point & click before.

    Jan.
    02

    The last human stronghold -> Four color theorem -> Computer assisted proof -> Automated theorem prover -> NP-Complete -> NP

    Welcome to linked information.