While I always thought that mathematics is a kind of art, and that the creative act of creating art (especially composing music) is very akin to doing (real) maths, I did never link maths and dancing… But here you are:
| Mathematics |
|
83% | |
| Dance |
|
83% | |
| English |
|
75% | |
| Engineering |
|
75% | |
| Sociology |
|
67% | |
| Psychology |
|
58% | |
| Philosophy |
|
58% | |
| Chemistry |
|
50% | |
| Theater |
|
50% | |
| Linguistics |
|
50% | |
| Anthropology |
|
42% | |
| Biology |
|
42% | |
| Journalism |
|
33% | |
| Art |
|
33% |
What is your Perfect Major?
created with QuizFarm.com
The “tie breaker” question for me was to select the most true statement of “I always find ways to solve problems.” and “I am passionate about aesthetics, forms, and movements.” The auther of that quiz (which one shouldn’t take to serious) probably though that the first is more linked to maths, while I think that maths is all about form and aesthetics.
Today I finally got my new Canon 50mm f/1.4 lens and I like it 
With the 1.6x crop factor on my 350D it is just perfect for taking portraits in low light conditions.
Moritz wants to show everybody how much he likes Algebra:
(he has explicitly requested that I put this photo here)
BTW: The book which he holds is "Algebra" by Serge Lang of which I got a copy just days ago. Though it is far to extensive for my curent course in Algebra, I think it is a good book to have for reference and further study.
Der Stoff von letzter Woche wird irgendwann zwischen Weihnachten un Neujahr online sein.
Inzwischen schöne Ferien/Vorlesungsfreie Zeit!
This is an OCR scan of Alan M. Turings fascinating article in which he first introduced what is now commonlöy refered to as "Turing Test". While his assumptions of what would have been true be the year 2000 were obviously false (there is no know computer programm which passes the test), the rest still makes an interesting read with many good arguments. (Here is another digitized version of the text.)
Die schriftliche Ausarbeitung zu dem Referat, das Dominik und ich heute in Algebra gehalten haben, ist hier zu finden. (Thema: Wohlordnungen und Auswahlaxiom (und äquivalente Aussagen)) Gefundene Fehler bitte mir melden (10€ gibt es dafür aber keine…)
I have witten a small C# (Mono) program to generate Cayley tables for symmetric and alternating groups. The source code is available (put into public domain). It also contains a small class to represent permutations.
The resulting tables for S3, A3, S4 and A4 are also online.
Wie macht man aus einer Kugel zwei gleich große (mit gleichem Maß) Kugeln, nur indem man die erste zerstückelt, rotiert und verschiebt? Prof. Winklers Beweis und Erläuterungen zum Paradoxon von Banach-Tarski kommen nur mit Schulmathematik aus und sind trotzdem mathematisch lückenlos und einwandfrei. So müsste Mathematik in der Schule unterrichtet werden, dann kann niemand mehr behaupten das Mathematik fad ist! Der Text wurde in den Didaktikheften der ÖMG publiziert und richtet sich daher an AHS-Lehrer. Trotzdem sollte er für alle Mathematikinteressierten ab der 7. Klasse AHS verständlich sein.
Der Text ist in mehreren Formaten auf der Homepage von Prof. Winkler verfügbar, unter anderem als PDF und HTML.
Da es zu dieser Vorlesung ja noch kein Skriptum gibt (und ich bezweifle, dass es bald eines geben wird), sehe ich mich gezwungen meine Mitschrift reinzuschreiben, damit ich sie dann auch zum Lernen verwenden kann. Und wenn ich schon den Aufwand betreibe, dann kann ich es auch gleich allgemein zugänglich machen (im Mathematik-Bereich). Jeder der in der Vorlesung war kann mir bestätigen, dass das, was auf der Tafel steht, nicht immer leicht zu lesen ist, drum können sich natürlich Fehler in die Zusammenfassung eingeschlichen haben. Falls Dir einer auffällt, dann melde dich bitte! Ich hoffe, ich kann die Zusammenfassung das ganze Semester über aktuell halten, aber auch dafür gebe ich keine Garantie ab…
I was innocently reading Planet Gnome, came across this post, followed the link and was instantly insulted:
You’re an engineer. You have an important project in front of you thatrequires you to take the derivative of an exponential, but you’ve forgottenhow. So you find a mathematician and ask him. The mathematician tells youto enroll in his semester-long calculus class, and that somewhere in themiddle, you’ll learn how to take the derivative of an exponential.
[...]
Most online help for software is like our mathematician: arrogant andcondescending, long-winded where it’s not needed, short-winded where itis needed, and ultimately useless.
While I understand, what the author of that page wants to say, I have to say (from personal experience) that mathematicians are no more arrogant than other people, and are by far not useless!
A friend of mine suggested this link (or rather showed me a printout of this site, and I had to google for it). "The Devil and Simon Flagg" is a mathematical short story by Arthur Porges. It is now a bit outdated but the conclusion is nowadays true nonetheless.
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