snearch + mathematik   236

Richard Hamming on Artificial Intelligence (1995) [video] | Hacker News
His book "Numerical Methods for Scientists and Engineers" is brilliant, his work included information theory, sampling, and running bell labs during its most productive time. He wasn't a professor, he was a giant.
numerische  Mathematik  book_recommendation  Ingenieur  Hamming_Richard 
april 2016 by snearch
Forty Minutes With a Fields Medallist
So suppose you pick a random whole number, what’s the probability that it’s square-free? The answer has been known for a long time. The answer is 6/π2. It’s unexpected, right? The π — there’s no circles here or anything, right? You’re asking for the probability of a whole number being square-free. And the answer is 6/π2. Here, π appears in this magical way in this number theory problem, not a geometry problem. So this is something that fascinated me.
Faszination  Mathematik  Pi  TOP  Inspiration 
august 2015 by snearch
What The Next Generation Needs Is Math, Not Programming - Statspotting!
ignoring the all-important Math that goes behind most things around us, would be a huge mistake.
TOP  Inspiration  Mathematik  Profession  Interesse 
june 2015 by snearch
D.J. Bernstein: The Good News Archive (Aaron Swartz: The Weblog)
I expect this strategy to produce invulnerable computer systems: restructure programs to put almost all code into extreme sandboxes; eliminate bugs in the small volume of remaining code. I won’t be satisfied until I’ve put the entire security industry out of work.
Bernstein_D._J.  djb  Security  Internet  DNSSEC  DNSSEC2  DNS  sendmail  SMTP  protocol  Mathematik  Strategie  software  Qualität  Universität  higher_quality 
march 2015 by snearch
Mathematiker Alexander Grothendieck ist tot - SPIEGEL ONLINE
r legte die Grundlagen für spektakuläre mathematische Beweise, wurde dafür gefeiert und zog sich plötzlich in die Einsamkeit zurück. Jetzt ist Alexander Grothendieck im Alter von 86 Jahren gestorben.
...
Grothendieck selbst bekam schon 1966 die Fields-Medaille, die als Nobelpreis für Mathematiker gilt. Aber in den Folgejahren veränderte sich sein Leben grundlegend. Er sympathisierte mit den 68ern in Paris und kritisierte den Vietnamkrieg. Als er mitbekam, dass der Etat seines mathematischen Instituts in Paris zu einem kleinen Teil vom Verteidigungsministerium stammte, kam es zum Bruch. Grothendieck wandte sich ab von der Mathematik und beschäftigte sich fortan mit Meditation, Religion und Philosophie.
alternative  Mathematik  Aussenseiter  Aussteiger  Grothendieck_Alexander  Bruch  Gesellschaftskritik  Gebirge  Pyrenäen  Rückzugsort  Saint-Girons  Perelman_Grigori 
november 2014 by snearch
Mathematics behind XKCD #688 : programming
[–]flavenstein 17 points 15 hours ago

The impression I get from this article is that the author learned a whole bunch of math that seems like it should fit together, but he doesn't really explain how or why it fits together.

The essence of that particular XKCD is in fixed-point iteration, which it seems like he understands (from his linked repo), but then suddenly he veers off into eigenvalue decomposition without motivation. This post would be much better if he explained the relevance, namely that eigenvectors determine the fixed subspaces of a linear transformation.

In other words, when you iterate a matrix product, you need to analyze the attracting and non-attracting fixed points (up to scale factors, i.e. eigenvalues). I think trying to come up with some mathematical connection that is more than simply "they are both fixed point problems" is a bit of a stretch.
Mathematik  Profession  Maschinenbau  Feinwerktechnik  Lineare_Algebra  Eigenvektor  Lernherausforderung 
november 2014 by snearch
Introduction to Mathematical Thinking | Stanford Online
Platform:
Coursera
Course topic:
Mathematics

The goal of the course is to help you develop a valuable mental ability – a powerful way of thinking that our ancestors have developed over three thousand years.

Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box – a valuable ability in today’s world. This course helps to develop that crucial way of thinking.

The course is offered in two versions. The eight-week-long Basic Course is designed for people who want to develop or improve mathematics-based, analytic thinking for professional or general life purposes. The ten-week-long Extended Course is aimed primarily at first-year students at college or university who are thinking of majoring in mathematics or a mathematically-dependent subject, or high school seniors who have such a college career in mind. The final two weeks are more intensive and require more mathematical background than the Basic Course. There is no need to make a formal election between the two. Simply skip or drop out of the final two weeks if you decide you want to complete only the Basic Course.

Subtitles for all video lectures available in: Portuguese (provided by The Lemann Foundation), English
Problemlösungsstrategien  Mathematik  mathematisch_denken  denken 
september 2014 by snearch
Psychedelics in problem-solving experiment | Hacker News
poke53281 9 hours ago | link

Myself, I used LSD to learn calculus -- or rather, to overcome a lifelong crippling phobia/anxiety of mathematics, which allowed me to rapidly learn calculus. When I was 21, I encountered John Lilly's theories of cognitive metaprogramming with psychedelics, and I designed a trip to convince myself -- at a really primal level -- of the fundamental beauty, power, and accessibility of math. 12 hours after dosing, my fear of mathematics was gone forever, and I spent the rest of the summer acing a series of intensive calculus courses. 17 years later, I've co-founded three successful and highly maths-intensive companies. I am certain that I could not have done this without the drugs.

I do hope that some day the world will wake up and realise how much of a wrong turn it took in banning psychedelic research; it has the potential to be a power for good unlike anything else.

...



natdempk 9 hours ago | link

Could you go into more detail about the trip? I would love to hear about the design of it and how you convinced yourself to love math.

reply


poke53281 8 hours ago | link

Well, I'd always had a love of fractals, without ever truly comprehending how the underlying maths worked. Same goes for cosmology -- utterly fascinated by the outputs, but didn't really understand the actual mechanisms thereof. So during the trip, I used fractal and cosmology images and videos as an emotional "anchor" -- grounding the trip in material I already loved and was comfortable with / fascinated by. I then surrounded those materials with more mathematically technical videos, images, and texts about fractals & cosmology -- the things I traditionally would have shied away from as too mathematical for me to understand; and finally, surrounding that material, I spread out the quite trivial mathematics I was struggling with at the time -- textbooks, homework assignments, etc. The intention was to create a continuum ranging from the mundane to the transcendent, with the hope that when the boundaries dissolved between them, I would understand that they're all really one and the same, and that my enthusiasm for the transcendent could be extended into every corner of mathematics.

This more or less worked as planned, although during the peak of the trip -- I had taken quite a lot of LSD -- my vision got too wobbly to actually make sense of words and numbers, so I put on a video of "Baraka" instead, which seemed comprehensible at the time and somehow in alignment with the whole "transcendent" angle of the trip. As I came down, I moved back to reading chapters of James Gleick's Chaos and finally to doing math homework which had previously irritated the piss out of me -- but now I loved it. That attitudinal switch was instant and permanent.

At the same time as this was a very positive experience for me, it also gave me the a level of respect for LSD such that I don't approve of it being used as an uncontrolled "party" drug. The changes I made to my brain were intentional and beneficial, but I can easily see how somebody who wasn't controlling their environment and intentions could end up bricking their brains on a bad trip. That kind of power is something that should be used with care.
LSD  PROs  Ängste  Mathematik  Lernen_lernen  lernen  Lilly_John  book_recommendation  Hilfe_gegen 
august 2014 by snearch
Seeker, Doer, Giver, Ponderer - NYTimes.com
Math is considered a young person’s game. But Dr. Simons continues to map its frontiers.
...
His casual manner — he’s known as Jim — belies a wide-ranging intellect that seems to resonate with top scientists.

“He’s an individual of enormous talent and accomplishment, yet he’s completely unpretentious,” said Marc Tessier-Lavigne, a neuroscientist who is the president of Rockefeller University. “He manages to blend all these admirable qualities.”
...
“I wasn’t the fastest guy in the world,” Dr. Simons said of his youthful math enthusiasms. “I wouldn’t have done well in an Olympiad or a math contest. But I like to ponder. And pondering things, just sort of thinking about it and thinking about it, turns out to be a pretty good approach.”
Profession  TOP  Inspiration  Mathematik  Witten_Eward  Simons_James_H.  model  ambitious  ehrgeizig  ponder  Erfolgsprinzip  nachdenken  Langsamkeit 
july 2014 by snearch
Navier-Stokes: Mathematiker will Milleniums-Problem gelöst haben - SPIEGEL ONLINE
Das einzige bislang gelöste Millenniumsproblem ist die legendäre Poincaré-Vermutung. Der Russe Grigorij Perelman veröffentlichte seine Lösung 2002 und 2003 - die Annahme des Preisgeldes lehnte der zurückgezogen lebende Mathematiker jedoch ab, ebenso wie die Fields-Medaille, die höchste Auszeichnung, die ein Mathematiker bekommen kann.
model  Perelman_Grigori  Mathematik  Fields_Medaille 
january 2014 by snearch
Codebreaker found in bag attended US security conference before death (Wired UK)
Williams was described by those who knew him as a "math genius" who graduated from Bangor University at the age of 17 with a degree in mathematics.
Security  Hackers  Black_Hat  DefCon  conference  TOP  Inspiration  deliberate_practice  Mathematik 
september 2013 by snearch
Mathematiker Faltings kritisiert Mittelmaß an deutschen Hochschulen - SPIEGEL ONLINE
SPIEGEL ONLINE: Sie waren ein klassischer Überflieger. Mit 23 promoviert, mit 27 Professor, mit 32 die Fields-Medaille. Wie haben Sie das geschafft? Talent? Fleiß? Besessenheit?

Faltings: Ich denke, es war eine Mischung aus Talent, Glück und Fleiß. Talent habe ich sicher gehabt. Man merkte schon in der Schule, dass ich Mathe besser konnte als andere. Und Glück habe ich auch gehabt, weil ich auf ein Thema kam, bei dem andere Leute schon gute Ideen entwickelt hatten, bei der Umsetzung jedoch gescheitert waren. So konnte ich es machen. Was den Fleiß betrifft: Ich bin ein einigermaßen fauler Mensch, aber wenn man ein interessantes Problem hat, dann arbeitet man von selbst daran.
Mathematik  Erfolgsprinzip  Fleiss  Glück  Talent  Faltings_Gerd  Fields_Medaille 
september 2013 by snearch
Masha Gessen: Der Beweis des Jahrhunderts - Grigorij Perelman - SPIEGEL ONLINE
Ein Einsiedler mit langen Haaren und Fingernägeln hat eines der großen mathematischen Probleme des Jahrhunderts gelöst. Und sich danach bei seiner Mutter verkrochen, wo er bis heute lebt. Wer ist dieses rätselhafte Genie namens Grigorij Perelman?
Mathematik  Perelman_Grigori 
july 2013 by snearch
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