Solved

The mathematics of generating complexity

Posted on 2014-03-26
5
173 Views
Last Modified: 2014-03-31
Is there a mathematics related to evolution whereby randomness in certain environments can generate complexity in that environment?
0
Comment
Question by:purplesoup
  • 2
  • 2
5 Comments
 
LVL 84

Assisted Solution

by:ozo
ozo earned 334 total points
ID: 39955789
There have been several mathematical analyses of various aspects of the process
http://en.wikipedia.org/wiki/Evolution_of_biological_complexity
http://www.santafe.edu/
but I don't think has been developed into a field of mathematics on its own.
0
 
LVL 32

Assisted Solution

by:phoffric
phoffric earned 166 total points
ID: 39963256
On a science TV show was an experiment to show how bird wings may have evolved from random events. It was awhile ago, so I can present only the gist. A device consisted of a number of parallel flaps. Two random numbers were used to select a flap and move it up or down by some angle. After the random numbers' selection, the device was put into a Wind Tunnel and the lift was measured. After several of these tests were made (called a trial), the profile having the best lift was used as a new starting point for a new trial. The scientists found it remarkable that they achieved a design having excellent lift with much less trials than expected. Sorry that I don't recall the name of this type of experiment.

<<Edit>>
I think the experiment was an example of a Genetic Algorithm where the random numbers represented mutations, and the Wind Tunnel results represented a metric for survival of the fittest.
0
 
LVL 84

Accepted Solution

by:
ozo earned 334 total points
ID: 39963321
If you are asking about the complexity of evolution, or the computational complexity of genetic algorithms, there are several papers on mathematical developments there,
But I think you are asking more about the evolution of complexity, in which case this article may be closer to what you are seeking
http://scientificamerican.com/article/the-surprising-origins-of-evolutionary-complexity/
0
 

Author Comment

by:purplesoup
ID: 39966003
Thank you - yes this looks like what I wanted, and the articles contain some good references for further reading.
0
 

Author Comment

by:purplesoup
ID: 39966017
By the way if you google "Genetic Algorithm bird wings wind tunnel" you get some useful results.
0

Featured Post

Free Tool: IP Lookup

Get more info about an IP address or domain name, such as organization, abuse contacts and geolocation.

One of a set of tools we are providing to everyone as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Suggested Solutions

Title # Comments Views Activity
Odd Behavior 5 65
which japanese 7-seater is a hybrid like Toyota Prius 26 159
Graph 5 78
what is the different between 2^2 and POWER(2,2) in Excel 11 42
We are taking giant steps in technological advances in the field of wireless telephony. At just 10 years since the advent of smartphones, it is crucial to examine the benefits and disadvantages that have been report to us.
When we purchase storage, we typically are advertised storage of 500GB, 1TB, 2TB and so on. However, when you actually install it into your computer, your 500GB HDD will actually show up as 465GB. Why? It has to do with the way people and computers…
Finds all prime numbers in a range requested and places them in a public primes() array. I've demostrated a template size of 30 (2 * 3 * 5) but larger templates can be built such 210  (2 * 3 * 5 * 7) or 2310  (2 * 3 * 5 * 7 * 11). The larger templa…
I've attached the XLSM Excel spreadsheet I used in the video and also text files containing the macros used below. https://filedb.experts-exchange.com/incoming/2017/03_w12/1151775/Permutations.txt https://filedb.experts-exchange.com/incoming/201…

821 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question