Experimental results: Difference between revisions
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==Wish list== | ==Wish list== | ||
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* What is the discrepancy of the sequence defined in [http://gowers.wordpress.com/2010/01/09/erds-discrepancy-problem-continued/ this post], | * What is the discrepancy of the sequence defined in [http://gowers.wordpress.com/2010/01/09/erds-discrepancy-problem-continued/ this post], | ||
DONE, i think. | DONE, i think. | ||
--> | |||
* Find long/longest quasi-multiplicative sequences with some fixed group G, function <math>G\to \{-1,1\}</math> and maximal discrepancy C | * Find long/longest quasi-multiplicative sequences with some fixed group G, function <math>G\to \{-1,1\}</math> and maximal discrepancy C | ||
** <math>G=C_6</math> and the function that sends 0,1 and 2 to 1 (because this seems to be a good choice) | ** <math>G=C_6</math> and the function that sends 0,1 and 2 to 1 (because this seems to be a good choice) | ||
* Do a "Mark-Bennet-style analysis" of one of the new 1124-sequences. [http://gowers.wordpress.com/2010/01/06/erdss-discrepancy-problem-as-a-forthcoming-polymath-project/#comment-4827] | * Do a "Mark-Bennet-style analysis" of one of the new 1124-sequences. [http://gowers.wordpress.com/2010/01/06/erdss-discrepancy-problem-as-a-forthcoming-polymath-project/#comment-4827] | ||
* ... you are welcome to add more. | * ... you are welcome to add more. | ||
Revision as of 12:33, 9 January 2010
To return to the main Polymath5 page, click here.
Perhaps we should have two kinds of subpages to this page: Pages about finding examples, and pages about analyzing them?
Experimental data
- The first 1124-sequence with discrepancy 2. Some more description
- Other length 1124 sequences with discrepancy 2. Some more description
- Some data about the problem with different upper and lower bound. Some more description
- Sequences taking values in [math]\displaystyle{ \mathbb{T} }[/math]:
Wish list
- Find long/longest quasi-multiplicative sequences with some fixed group G, function [math]\displaystyle{ G\to \{-1,1\} }[/math] and maximal discrepancy C
- [math]\displaystyle{ G=C_6 }[/math] and the function that sends 0,1 and 2 to 1 (because this seems to be a good choice)
- Do a "Mark-Bennet-style analysis" of one of the new 1124-sequences. [1]
- ... you are welcome to add more.
