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Cuchulainn
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Re: Diamonds are a girl's best friend......

March 30th, 2017, 12:09 pm

Sometimes combinatorial experiments are faster and more successful than computational methods.

And sometimes not.

Correct me if I am wrong, but combinatorics only works in a discrete space setting?
Can you find the Black Scholes price using combinatorics?
 
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Traden4Alpha
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Re: Diamonds are a girl's best friend......

March 30th, 2017, 2:11 pm

Sometimes combinatorial experiments are faster and more successful than computational methods.

And sometimes not.

Correct me if I am wrong, but combinatorics only works in a discrete space setting?
Can you find the Black Scholes price using combinatorics?
Agreed!

Computational models (whether they use discrete or continuum variables) can only beat trail-and-error experiments if the models are sufficiently accurate. In the case of high temperature superconductors, no one had a clue on how to compute which alloys of which elements would superconduct at which exact temperatures. They may have had some theoretical hints that superconductivity might occur in these complex alloys but no way to compute exactly which ones would do what.

As for Black Scholes using combinatorics, what about using binomial trees and Pascal's triangle to compute the price?

A related issue occurs with the Mandelbrot set in which the fastest way to judge membership in the set is to numerically iterate until a stopping condition occurs (which may take near-infinite time) because there's no analytic solution for the set boundary.

Exactly which physical/empirical, numerical/computational, or analytic/logical operations arrive at an accurate answer with the least resources varies significantly across the set of all possible questions.
 
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Cuchulainn
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Re: Diamonds are a girl's best friend......

March 30th, 2017, 3:15 pm

As for Black Scholes using combinatorics, what about using binomial trees and Pascal's triangle to compute the price?

It has been done by Haug 2007 pages 281, 319 and it's super fast.
The underlying maths is the wonderful Bernstein polynomials.

Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures

Uncountable sets "break" combinatorics. A pre-processing step is needed to bring a US into a CS. e.g. a random variable -> KL expansion.
 
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ppauper
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Re: Diamonds are a girl's best friend......

April 4th, 2017, 12:32 pm

pink star diamond sold
not sure if trackstar bid on it
 
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Cuchulainn
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Re: Diamonds are a girl's best friend......

April 4th, 2017, 4:46 pm

pink star diamond sold
not sure if trackstar bid on it
Probably too busy here in West Fryslan odds and ends, what?
http://www.westfriesmuseum.info/stolen-art/
 
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trackstar
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Joined: January 1st, 1970, 12:00 am

Re: Diamonds are a girl's best friend......

April 4th, 2017, 8:51 pm

Hehe. I like blue topaz and aquamarine!
 
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ppauper
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Re: Diamonds are a girl's best friend......

April 5th, 2017, 6:53 am

Hehe.  I like blue topaz and aquamarine!
now we all know what to get for your birthday
 
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Cuchulainn
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Re: Diamonds are a girl's best friend......

April 6th, 2017, 3:15 pm

Hehe.  I like blue topaz and aquamarine!
now we all know what to get for your birthday



Image
 
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Cuchulainn
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Re: Diamonds are a girl's best friend......

April 6th, 2017, 3:33 pm

Image



Image
 
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Traden4Alpha
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Re: Diamonds are a girl's best friend......

April 6th, 2017, 5:53 pm

Image



Image
Diamond in the rough, what?
 
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Cuchulainn
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Re: Diamonds are a girl's best friend......

April 6th, 2017, 5:59 pm

Image



Image
Diamond in the rough, what?
Bottomless pit; they are never happy? what?
 
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Traden4Alpha
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Re: Diamonds are a girl's best friend......

April 6th, 2017, 6:18 pm

Image



Image
Diamond in the rough, what?
Bottomless pit; they are never happy? what?
That's the hole truth, what?
 
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Cuchulainn
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Re: Diamonds are a girl's best friend......

April 6th, 2017, 7:02 pm

Indeed; better go Dutch, 50-50, what?

When in a hole, stop digging, what? 
 
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ppauper
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Re: Diamonds are a girl's best friend......

April 6th, 2017, 8:13 pm

if you do buy track some diamonds, make sure you leave a good review on yelp
quincy center jeweler wins suit over yelp review
a rival jeweler made up a fake review
 
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Traden4Alpha
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Re: Diamonds are a girl's best friend......

April 6th, 2017, 10:10 pm

Indeed; better go Dutch, 50-50, what?

When in a hole, stop digging, what? 
That depends on what in the bottom of the hole. More diamonds? Keep digging!

P.S. I was once caught in the bottom of a ravine and got out by digging holes -- foot holes in the wall of the ravine.