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katastrofa
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Location: Alpha Centauri

Re: Philosophy of Mathematics

July 27th, 2020, 8:34 pm

And then the cheating part.. 

www.youtube.com/watch?v=PI35KfPB7nM

BTW recognise  faces @0.18?
I only recognise Andy Garcia. I had a huge crush on him after seeing Godfather. My type - this should definitely go in the Principal Discussion forum.

I met Mandelbrot in London, several years ago when Cedric Villani got Fields Medal. BM resembled Bilbo Baggins who lost the Ring.
CV was student of PL Lions (also Fields Medal) who is son of JL Lions, the Godfather of French Numerical Analysis. It was JL Lions who suggested to my supervisor to set up a research group on numerical singular perturbations.
Now he's fooling about with Marcone. Rien ma non sur facil... quoi?
 
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Cuchulainn
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Re: Philosophy of Mathematics

July 28th, 2020, 6:47 am

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Collector
Posts: 4777
Joined: August 21st, 2001, 12:37 pm

Re: Philosophy of Mathematics

July 28th, 2020, 1:22 pm

some parts of society give bonuses, other parts of society gives medals and titles.

solid gold medals up in value, gold at close to all time high! (why they now will handle out gold plated medals instead ;-)
 
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Cuchulainn
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Re: Philosophy of Mathematics

July 28th, 2020, 4:08 pm

Marchuk was head of all Soviet Science and the top numerical analyst of the neutron transport equation. So, not just medals.

Anyways,

[$] motivation = O(bonus^{-1})[$]
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Cuchulainn
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Re: Philosophy of Mathematics

July 28th, 2020, 5:05 pm

BTW I implemented 3 weeks ago Marchuk 1-2-2-1 splitting on 2d basket etc, PDEs, It is super robust and accurate. Checked against Collector's big bok of options.
Very few here in the West know 1-2-2-1 aka 'two cycle'.
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katastrofa
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Location: Alpha Centauri

Re: Philosophy of Mathematics

July 28th, 2020, 6:40 pm

"Two cycle"? What kind of numerical methods are you talking about? Could you provide some references?
 
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Cuchulainn
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Re: Philosophy of Mathematics

July 28th, 2020, 7:34 pm

Why, of course! in Marchuk's splitting up book and this

http://old.inm.ras.ru/library/Zalesnyj/ ... 2011k3.pdf

As way back as 2002 tavarisch Alex L. applied it to fixed-income (BTW ADI did not work, so I suggested try Soviet Splitting, bingo!) when he/we presented it at Courant seminar. Even Mrs. Cuchulainn was there but she was awfully bored. Kolmogorov-Smirnov was the last straw.

Another one to do is from my grandad GS 
https://en.wikipedia.org/wiki/Strang_splitting

// who knows it might work for stochastic de..

All this stuff use BCH (Baker-Campbell-Hausdorff)
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katastrofa
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Joined: August 16th, 2007, 5:36 am
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Re: Philosophy of Mathematics

July 28th, 2020, 9:01 pm

Image
The second is Delta, but what's the first equation??
Bump! I can't stop thinking about it :-(

Thanks, Cuchulainn. Interesting problem in that article.
Strang looks like a worthy alternative to st... Too-bad today's ML, sorry, AI kids don't know such methods exist.
 
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Cuchulainn
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Re: Philosophy of Mathematics

September 17th, 2020, 5:54 pm

Professor Sir Martin Hairer: British maths genius scoops $3m prize from Mark Zuckerberg

https://news.sky.com/story/professor-si ... g-12069159

His work "focuses on generating equations to accurately describe seemingly random motion in time and space, such as how droplets of water spread across the surface of a napkin, the growth of bacteria on a Petri dish, or the chaotic activity of millions of individuals making stock trades," according to Imperial College London.

Known as stochastic partial differential equations (PDEs), Professor Hairer drove forward the understanding of regularity structures which model random effects on physical systems, "effectively creating an analytical tool kit for studying stochastic PDEs".
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Collector
Posts: 4777
Joined: August 21st, 2001, 12:37 pm

Re: Philosophy of Mathematics

September 17th, 2020, 9:31 pm

Professor Sir Martin Hairer: British maths genius scoops $3m prize from Mark Zuckerberg

https://news.sky.com/story/professor-si ... g-12069159

His work "focuses on generating equations to accurately describe seemingly random motion in time and space, such as how droplets of water spread across the surface of a napkin, the growth of bacteria on a Petri dish, or the chaotic activity of millions of individuals making stock trades," according to Imperial College London.

Known as stochastic partial differential equations (PDEs), Professor Hairer drove forward the understanding of regularity structures which model random effects on physical systems, "effectively creating an analytical tool kit for studying stochastic PDEs".
""Maths is truth. Once you discover something in maths, it applies to all eternity.""

blahhh....eternity is not that long for math...
 
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katastrofa
Posts: 9665
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

Re: Philosophy of Mathematics

September 18th, 2020, 1:01 am

I'm sure the guys who lived on Venus had maths too.
 
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Collector
Posts: 4777
Joined: August 21st, 2001, 12:37 pm

Re: Philosophy of Mathematics

September 18th, 2020, 8:50 am

Venus is young compared to \(\infty\), and they say no men from there, but people lived there possible yes!
 
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Cuchulainn
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Joined: July 16th, 2004, 7:38 am
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Re: Philosophy of Mathematics

September 18th, 2020, 9:44 am

Professor Sir Martin Hairer: British maths genius scoops $3m prize from Mark Zuckerberg

https://news.sky.com/story/professor-si ... g-12069159

His work "focuses on generating equations to accurately describe seemingly random motion in time and space, such as how droplets of water spread across the surface of a napkin, the growth of bacteria on a Petri dish, or the chaotic activity of millions of individuals making stock trades," according to Imperial College London.

Known as stochastic partial differential equations (PDEs), Professor Hairer drove forward the understanding of regularity structures which model random effects on physical systems, "effectively creating an analytical tool kit for studying stochastic PDEs".
""Maths is truth. Once you discover something in maths, it applies to all eternity.""

blahhh....eternity is not that long for math...
Are you cherry picking, Collector?
Maths is not contingent on Physics, tsk tsk

Image
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Collector
Posts: 4777
Joined: August 21st, 2001, 12:37 pm

Re: Philosophy of Mathematics

September 23rd, 2020, 9:00 am

the cherry season was over in Norway a month ago, and I am not going to red countries to pick cherries!
 
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Cuchulainn
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Re: Philosophy of Mathematics

September 25th, 2020, 3:11 pm

 I thought I am not good enough for physics and I am too good for philosophy. Mathematics is in between.”

― George Pólya   
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