User contributions for Alec
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6 February 2010
- 04:0904:09, 6 February 2010 diff hist +54 Experimental results →Source code
5 February 2010
- 23:4523:45, 5 February 2010 diff hist −115 Discrepancy 3 multiplicative sequence of length 13186 →The sequence: Display in 81 columns. current
- 23:3823:38, 5 February 2010 diff hist +202 Discrepancy 3 multiplicative sequence of length 13186 Note that sequence is not maximal.
- 10:5110:51, 5 February 2010 diff hist +18,608 Multiplicative sequences →Case C=3: Add sequence of length 13186.
- 05:1805:18, 5 February 2010 diff hist 0 m Length 1120 sequences No edit summary
4 February 2010
- 23:3823:38, 4 February 2010 diff hist +5,554 m Length 1120 sequences Finish list.
- 23:2823:28, 4 February 2010 diff hist −19 m Length 1120 sequences No edit summary
- 23:2723:27, 4 February 2010 diff hist +520 Length 1120 sequences Explanation.
- 23:2223:22, 4 February 2010 diff hist +22,485 N Length 1120 sequences Partition with factorizations: explanation needed...
- 23:2023:20, 4 February 2010 diff hist +72 Experimental results →Experimental data
28 January 2010
- 14:0214:02, 28 January 2010 diff hist +879 N Prove the result for shifted HAPs instead of HAPs Brief explanation of motivation for considering PAPs. current
22 January 2010
- 23:2323:23, 22 January 2010 diff hist +28 Low discrepancy on PAPs No edit summary current
- 07:0407:04, 22 January 2010 diff hist +5 Low discrepancy on PAPs No edit summary
- 06:1706:17, 22 January 2010 diff hist +6,688 N Low discrepancy on PAPs New page: These sequences were generated by choosing a large random 'shift' <math>L</math> (between <math>2^{63}</math> and <math>2^{64}</math>) and requiring that the sequence shifted by <math>L</m...
- 06:0006:00, 22 January 2010 diff hist +51 Experimental results →Experimental data
21 January 2010
- 03:5003:50, 21 January 2010 diff hist +2,394 Multiplicative sequences →Case C=3: Sequence of length 1530.
- 03:0103:01, 21 January 2010 diff hist +1,409 Multiplicative sequences →Case C=3: Add sequence of length 852.
20 January 2010
- 22:1822:18, 20 January 2010 diff hist +550 Sequences given by modulated Sturmian functions Add correct sequence of length 406. current
- 11:0211:02, 20 January 2010 diff hist −549 Sequences given by modulated Sturmian functions One of the sequences was incorrect. Delete it.
- 09:2209:22, 20 January 2010 diff hist −105 Experimental results →Experimental data: Consolidate examples of modulated Sturmian functions into one page.
- 09:2009:20, 20 January 2010 diff hist +885 Sequences given by modulated Sturmian functions No edit summary
- 05:1505:15, 20 January 2010 diff hist +12 Sequences given by modulated Sturmian functions No edit summary
- 05:1305:13, 20 January 2010 diff hist +714 N Sequences given by modulated Sturmian functions New page: This sequence, of length 406, satisfies the formula <math>f(2^a 3^b 5^c 7^d) = \theta(a+b+2c) (-1)^{b+c+d}</math> where <math>\theta(n)</math> is <math>1</math> if <math>\lfloor (n+1) \f...
- 05:0805:08, 20 January 2010 diff hist +61 Experimental results →Experimental data
19 January 2010
- 22:4822:48, 19 January 2010 diff hist +14 Sequence of length 714 No edit summary
- 22:0422:04, 19 January 2010 diff hist +908 N Sequence of length 714 New page: This sequence of length 714 satisfies the formula given at the end of [http://gowers.wordpress.com/2010/01/16/the-erds-discrepancy-problem-v/#comment-5313 this comment]. +-++----++-+++--...
- 22:0022:00, 19 January 2010 diff hist +99 Experimental results →Experimental data
18 January 2010
- 14:3714:37, 18 January 2010 diff hist +1,267 N Sequence of length 1091 New page: This sequence has length 1091 and discrepancy 2. It was generated by backtracking from a length-1008 sequence generated by Klas' program. +--++---++-+-+--+-+++--+-++---+++---++--++-++---... current
- 14:3514:35, 18 January 2010 diff hist +52 Experimental results →Experimental data
17 January 2010
- 10:0710:07, 17 January 2010 diff hist −5 Shifts and signs No edit summary current
- 09:5409:54, 17 January 2010 diff hist +226 Shifts and signs No edit summary
16 January 2010
- 21:5621:56, 16 January 2010 diff hist 0 Shifts and signs No edit summary
- 21:1621:16, 16 January 2010 diff hist 0 Shifts and signs Correct e(2,25).
- 14:3014:30, 16 January 2010 diff hist +1 Shifts and signs No edit summary
- 14:2414:24, 16 January 2010 diff hist +853 N Shifts and signs New page: The first 1124 sequence seems to exhibit great structure in its subsequences of the form <math>x_{p^k m}</math>. If <math>m \nmid p</math>, we can often (subject to some anomalies) write ...
- 14:1814:18, 16 January 2010 diff hist +87 Experimental results →Experimental data
- 07:3607:36, 16 January 2010 diff hist +282 Multiplicative sequences No edit summary
- 07:3207:32, 16 January 2010 diff hist +679 Multiplicative sequences No edit summary
- 04:4504:45, 16 January 2010 diff hist +415 Multiplicative sequences No edit summary
- 04:2904:29, 16 January 2010 diff hist +861 Multiplicative sequences C=3 sequence of length 819
- 02:4102:41, 16 January 2010 diff hist +802 Multiplicative sequences C=3 sequence of length 627
15 January 2010
- 12:1612:16, 15 January 2010 diff hist +2,066 N Bounded Dirichlet inverse New page: Every completely-multiplicative sequence has Dirichlet inverse bounded by <math>1</math>, and the longest discrepancy-2 sequence with this property has length <math>246</math>. (Are all su...
- 12:0712:07, 15 January 2010 diff hist +48 Experimental results →Experimental data
14 January 2010
- 13:0513:05, 14 January 2010 diff hist −2 m Longest constrained sequences No edit summary
- 13:0013:00, 14 January 2010 diff hist +7,418 N Dirichlet inverses New page: __FORCETOC__ == 974 sequence == This is the Dirichlet inverse of the 974 sequence with nice multiplicative properties: <pre> 1, 1, 1, 0, 1, 1, -1, 0, 2, 1, 1, 0, -1, -1, 1, 0, 1, 2, -1,...
- 12:5612:56, 14 January 2010 diff hist +44 Experimental results →Experimental data
- 11:5711:57, 14 January 2010 diff hist +37 m Longest constrained sequences No edit summary
- 11:2711:27, 14 January 2010 diff hist +27 m Longest constrained sequences No edit summary
- 10:3310:33, 14 January 2010 diff hist 0 m Longest constrained sequences No edit summary
13 January 2010
- 23:0723:07, 13 January 2010 diff hist 0 m Longest constrained sequences No edit summary
