Number theory/Signed Articles/Elementary diophantine approximations: Revision history

15 March 2021

• curprev 08:4008:40, 15 March 2021‎ imported>John Stephenson‎ m 35,647 bytes 0‎ John Stephenson moved page WYA:Elementary diophantine approximations to Number theory/Signed Articles/Elementary diophantine approximations without leaving a redirect: article from old initiative

10 February 2010

• curprev 02:1602:16, 10 February 2010‎ imported>Meg Taylor‎ m 35,647 bytes +2‎ spelling: occurence -> occurrence

24 June 2009

• curprev 14:5714:57, 24 June 2009‎ imported>Wlodzimierz Holsztynski‎ 35,645 bytes +2,162‎ →‎Rational representation

31 January 2008

• curprev 17:2617:26, 31 January 2008‎ imported>Wlodzimierz Holsztynski‎ 35,637 bytes −1,984‎ →‎First results: Corollary added (and typo fixed)

28 January 2008

• curprev 03:4903:49, 28 January 2008‎ imported>Wlodzimierz Holsztynski‎ 35,210 bytes +369‎ →‎Squeezing irrational numbers between neighbors: cnt.
• curprev 03:4003:40, 28 January 2008‎ imported>Wlodzimierz Holsztynski‎ 34,841 bytes −2,780‎ →‎Squeezing irrational numbers between neighbors: Removing an outdated portion
• curprev 03:2603:26, 28 January 2008‎ imported>Wlodzimierz Holsztynski‎ 37,612 bytes −9‎ →‎Squeezing irrational numbers between neighbors: apply Hurwitz Thm.
• curprev 03:2003:20, 28 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 37,621 bytes +3,862‎ →‎Proof of Hurwitz theorem: ref.
• curprev 03:1203:12, 28 January 2008‎ imported>Wlodzimierz Holsztynski‎ 37,550 bytes +630‎ →‎Definitions: def. of top & bottom pairs
• curprev 03:0303:03, 28 January 2008‎ imported>Wlodzimierz Holsztynski‎ 36,871 bytes −49‎ →‎Definitions
• curprev 02:3902:39, 28 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 36,920 bytes +12‎ →‎Lemma 2: typo
• curprev 02:3602:36, 28 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 36,908 bytes +56‎ →‎Lemma 1: cosmetic
• curprev 02:3402:34, 28 January 2008‎ imported>Wlodzimierz Holsztynski‎ 36,907 bytes +55‎ →‎First results: fixing a minor (:-) error

25 January 2008

• curprev 23:4323:43, 25 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 36,852 bytes +3,093‎ →‎The top-top-bot case: cosmetic
• curprev 23:4123:41, 25 January 2008‎ imported>Wlodzimierz Holsztynski‎ 36,846 bytes +831‎ →‎Neigborhood C (the combined inequality): finish
• curprev 23:1823:18, 25 January 2008‎ imported>Wlodzimierz Holsztynski‎ 36,455 bytes +440‎ →‎Neiborhood C (the combined inequality): to be cnt.

24 January 2008

• curprev 17:2917:29, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 36,014 bytes −1‎ →‎Lemma 2': accidental pesky errors (lack of concentration)
• curprev 16:0216:02, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 36,015 bytes +1,500‎ →‎Proof of Hurwitz theorem: ... and 2'
• curprev 16:0016:00, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 36,008 bytes +412‎ →‎Lemma 2': Proof
• curprev 15:4915:49, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 35,596 bytes +1,081‎ →‎Lemma 2'
• curprev 09:5609:56, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 34,938 bytes +125‎ →‎Proof of Hurwitz theorem: cosmetic
• curprev 09:5109:51, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 34,813 bytes +290‎ →‎Proof of Hurwitz theorem
• curprev 09:4009:40, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 34,523 bytes +8‎ →‎First results: cosmetic
• curprev 09:3809:38, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 34,515 bytes +756‎ →‎Lemma 1: typo
• curprev 09:3509:35, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 34,517 bytes +758‎ →‎Lemma 2: real (no need to restrict lemma 2 to irrationals)
• curprev 09:3009:30, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 34,523 bytes 0‎ →‎Lemma 2: typos
• curprev 09:2909:29, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 34,523 bytes +764‎ →‎Lemma 2: Proof (to be cnt.)
• curprev 09:1109:11, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 33,759 bytes +276‎ →‎Lemma 2: Proof (to be cnt.)
• curprev 07:3407:34, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 33,481 bytes −2‎ →‎First results: typos
• curprev 07:2607:26, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 33,482 bytes −1‎ →‎Lemma 2: cosmetic
• curprev 07:2407:24, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 33,483 bytes +33,483‎ →‎Lemma 2
• curprev 07:0507:05, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 32,819 bytes +2‎ →‎Lemma 1: cosmetic
• curprev 07:0007:00, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 32,807 bytes −10‎ →‎Lemma 1: cosmetic
• curprev 06:5906:59, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 32,817 bytes +82‎ →‎Hurwitz theorem: Removing the misplaced version
• curprev 06:5806:58, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 33,966 bytes +1,154‎ →‎Hurwitz theorem: Moving it to the proper place
• curprev 06:5406:54, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 32,812 bytes +12‎ →‎First results: typo
• curprev 06:5006:50, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 32,798 bytes −2‎ →‎Hurwitz theorem: cosmetic
• curprev 06:4906:49, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 32,800 bytes +65‎ →‎Lemma 1
• curprev 06:4106:41, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 32,735 bytes +843‎ →‎Hurwitz theorem: Proof (to be cnt.)
• curprev 06:3006:30, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 32,461 bytes +115‎ →‎Hurwitz theorem: Proof (to be cnt.)
• curprev 06:2406:24, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 32,346 bytes +270‎ →‎Hurwitz theorem: Proof, cnt.
• curprev 06:1606:16, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ 32,076 bytes +156‎ →‎Hurwitz theorem: Proof (to be cnt.)
• curprev 06:0206:02, 24 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 31,920 bytes +27‎ →‎Another proof of Hurwitz Theorem (further insight)

23 January 2008

• curprev 21:3821:38, 23 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 31,894 bytes +1‎ →‎First results: cosmetic
• curprev 21:3721:37, 23 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 31,893 bytes +1‎ →‎First results: typo
• curprev 21:3521:35, 23 January 2008‎ imported>Wlodzimierz Holsztynski‎ 31,892 bytes +25,751‎ →‎First results: right away a sharper inequality
• curprev 07:1007:10, 23 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 31,700 bytes +6‎ →‎Squeezing irrational numbers between neighbors: cosmetic
• curprev 07:0807:08, 23 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 31,694 bytes 0‎ →‎Squeezing irrational numbers between neighbors: typo (cosmetic)

22 January 2008

• curprev 07:0207:02, 22 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 31,694 bytes +8,980‎ →‎Introduction: cosmetic
• curprev 07:0107:01, 22 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 31,692 bytes +229‎ →‎Introduction: cosmetic
• curprev 06:3206:32, 22 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 31,463 bytes +1,510‎ →‎Early yield (Hurwitz Theorem): cosmetic
• curprev 06:0106:01, 22 January 2008‎ imported>Wlodzimierz Holsztynski‎ 31,457 bytes +1,504‎ →‎Early yield (Hurwitz Theorem): thm proved
• curprev 05:0505:05, 22 January 2008‎ imported>Wlodzimierz Holsztynski‎ 30,089 bytes +136‎ →‎The method of neighbors and median: extra equiv.
• curprev 04:4304:43, 22 January 2008‎ imported>Wlodzimierz Holsztynski‎ 29,953 bytes +7,239‎ →‎Early yield (Hurwitz Theorem): comma
• curprev 04:4004:40, 22 January 2008‎ imported>Wlodzimierz Holsztynski‎ 29,952 bytes +7,238‎ →‎Early yield (Hurwitz Theorem): typos
• curprev 04:3504:35, 22 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 29,952 bytes +7,238‎ →‎Early yield (Hurwitz Theorem): cosmetic
• curprev 04:3304:33, 22 January 2008‎ imported>Wlodzimierz Holsztynski‎ 29,950 bytes +5,223‎ →‎Early yield (Hurwitz Theorem): cnt

21 January 2008

• curprev 06:5406:54, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ 28,844 bytes +1,106‎ →‎Early yield (Hurwitz Theorem)
• curprev 06:4906:49, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 27,738 bytes 0‎ →‎Squeezing irrational numbers between neighbors: typo
• curprev 06:4106:41, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 27,738 bytes −7‎ →‎Squeezing irrational numbers between neighbors: cosmetic
• curprev 06:3906:39, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 27,745 bytes +1,412‎ →‎Squeezing irrational numbers between neighbors: typos
• curprev 05:5305:53, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 27,745 bytes +1,061‎ →‎Neighborhood B: cosmetic
• curprev 05:4805:48, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ 27,747 bytes +158‎ →‎Neighborhood C (second C-inequality): 2nd C-conclusion
• curprev 05:4305:43, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ 27,589 bytes +897‎ →‎Neighborhood C (second C-inequality)
• curprev 05:3905:39, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 26,692 bytes +8‎ →‎Neighborhood C (first C-inequality): cosmetic
• curprev 04:5904:59, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ 26,684 bytes +149‎ →‎Neighborhood D: Conclusion
• curprev 04:5504:55, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 26,535 bytes +63‎ →‎Neighborhood D: alpha, gamma
• curprev 04:4704:47, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 26,472 bytes +1‎ →‎Neighborhood C (first C-inequality): cosmetic
• curprev 04:4404:44, 21 January 2008‎ imported>Wlodzimierz Holsztynski‎ 26,471 bytes +138‎ →‎Neighborhood C (first C-inequality): Conclusion

20 January 2008

• curprev 18:4418:44, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 26,333 bytes +73‎ →‎Neighborhood D
• curprev 18:3418:34, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 26,260 bytes +5‎ →‎The top-top-bot case: cosmetic
• curprev 18:3218:32, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 26,255 bytes +205‎ →‎Neighborhood B: conclusion
• curprev 18:1218:12, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 26,050 bytes +122‎ →‎The relevant neighborhoods: D
• curprev 18:0918:09, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 25,928 bytes −1‎ →‎The relevant neighborhoods: C (typo)
• curprev 18:0818:08, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 25,929 bytes +200‎ →‎The relevant neighborhoods: C
• curprev 17:5817:58, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 25,729 bytes +109‎ →‎The relevant neighborhoods: B
• curprev 17:5417:54, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 25,620 bytes +114‎ →‎The relevant neighborhoods: A
• curprev 17:4717:47, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 25,506 bytes +6‎ →‎The top-top-bot case: cosmetic
• curprev 17:4617:46, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 25,500 bytes +106‎ →‎Proof of Hurwitz Theorem: subdivision
• curprev 17:3017:30, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 25,394 bytes +163‎ →‎Proof of Hurwitz Theorem: the reduction to x > 0 reinstated
• curprev 17:2217:22, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 25,231 bytes +174‎ →‎First results: general neighbors
• curprev 16:4716:47, 20 January 2008‎ imported>Wlodzimierz Holsztynski‎ 25,239 bytes +182‎ →‎The method of neighbors and median: neighborhoods

19 January 2008

• curprev 16:2216:22, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ 25,057 bytes +294‎ →‎Proof of Hurwitz Theorem: cnt.
• curprev 15:5415:54, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 24,763 bytes +36‎ →‎Proof of Hurwitz Theorem: typo (proof to be continued)
• curprev 09:3009:30, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ 24,727 bytes +2,007‎ →‎Proof of Hurwitz Theorem: cnt
• curprev 09:0109:01, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 24,276 bytes +15‎ →‎Proof of Hurwitz theorem: to be continued
• curprev 08:5908:59, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ 24,261 bytes −170‎ →‎Hurwitz theorem: general case all the time (no reduction to x > 0 needed)
• curprev 08:2808:28, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 24,431 bytes −3‎ →‎Hurwitz theorem: cosmetic
• curprev 08:2308:23, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ 24,434 bytes +1,714‎ →‎Hurwitz theorem: proof (to be continued)
• curprev 06:4006:40, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 22,720 bytes +6‎ →‎Squeezing irrational numbers between neighbors: cosmetic
• curprev 06:3906:39, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 22,714 bytes +13,995‎ →‎First results: 0 < ... (three times)
• curprev 06:3306:33, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ 22,696 bytes +72‎ →‎The method of neighbors and median: i.e.
• curprev 06:2306:23, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ 22,624 bytes +133‎ →‎The method of neighbors and median: neighbors have the same sign.
• curprev 06:1806:18, 19 January 2008‎ imported>Wlodzimierz Holsztynski‎ 22,491 bytes −6‎ →‎The method of neighbors and median: negative too

18 January 2008

• curprev 10:0210:02, 18 January 2008‎ imported>Wlodzimierz Holsztynski‎ 22,497 bytes +462‎ →‎Matrix monoid \mathit{SO}(\mathbb{Z}_+, 2)
• curprev 09:5509:55, 18 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 22,497 bytes −10‎ →‎Squeezing irrational numbers between neighbors: changing lft-rgt to top-bot, ctn.
• curprev 09:5009:50, 18 January 2008‎ imported>Wlodzimierz Holsztynski‎ 22,499 bytes −8‎ change left-right to top-bottom (lft-rgt to top-bot)

17 January 2008

• curprev 22:4922:49, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ 22,507 bytes +472‎ →‎Hurwitz theorem: cnt.
• curprev 19:1519:15, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ 22,035 bytes +4,271‎ →‎Hurwitz theorem: thm formulation
• curprev 18:4518:45, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ 21,787 bytes +32‎ →‎Hurwitz theorem
• curprev 18:2818:28, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ 21,755 bytes +3,131‎ →‎Squeezing irrational numbers between neighbors: cnt.
• curprev 17:2117:21, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ 20,649 bytes +565‎ →‎Squeezing irrational numbers between neighbors: cnt.
• curprev 16:4616:46, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ 20,084 bytes +1,460‎ →‎Squeezing irrational numbers between neighbors: cnt.
• curprev 07:5807:58, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ 18,624 bytes +860‎ →‎Squeezing irrational numbers between neighbors: a complete statement about changes of direction.
• curprev 07:4507:45, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ 18,527 bytes +28‎ →‎Introduction: A.Hurwitz
• curprev 07:4107:41, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ 18,499 bytes +735‎ →‎Squeezing irrational numbers between neighbors: cnt.
• curprev 07:2607:26, 17 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 18,091 bytes −39‎ →‎Squeezing irrational numbers between neighbors: typo

16 January 2008

• curprev 22:5222:52, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ 18,130 bytes +368‎ →‎Squeezing irrational numbers between neighbors
• curprev 22:3222:32, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 17,762 bytes −2‎ →‎First results: cosmetic
• curprev 22:1422:14, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ 17,764 bytes +9,045‎ →‎Squeezing irrational numbers between neighbors: cnt.
• curprev 21:3821:38, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ 17,054 bytes +712‎ →‎Notation: a modification
• curprev 21:3021:30, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 17,001 bytes +83‎ →‎Notation: cosmetic
• curprev 21:2421:24, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ 16,918 bytes +104‎ →‎Notation: open intervals
• curprev 21:1821:18, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ 16,814 bytes +484‎ →‎Rational representation: open instead of closed
• curprev 21:1421:14, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ 16,860 bytes +530‎ →‎Squeezing irrational numbers between neighbors: cnt.
• curprev 21:0021:00, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 16,330 bytes −12‎ →‎Squeezing irrational numbers between neighbors: format
• curprev 20:5120:51, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ 16,342 bytes +4,905‎ →‎Squeezing irrational numbers between neighbors
• curprev 20:2820:28, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 15,719 bytes +137‎ →‎First results: cosmetic
• curprev 20:2720:27, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ 15,718 bytes +136‎ →‎First results: a rewrite of the last part of the proof of thm 1
• curprev 20:1020:10, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ 15,582 bytes +275‎ →‎The method of neighbors and median: inverses of neighbors
• curprev 20:0220:02, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 15,307 bytes 0‎ →‎The method of neighbors and median: cosmetic
• curprev 20:0020:00, 16 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 15,307 bytes +40‎ →‎The method of neighbors and median: cosmetic

15 January 2008

• curprev 05:5105:51, 15 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 15,290 bytes +23‎ →‎Relatively prime pairs of integers: cosmetic

14 January 2008

• curprev 21:2521:25, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 15,267 bytes +581‎ →‎First results: cosmetic
• curprev 21:2121:21, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 15,261 bytes +273‎ →‎First results: the finish of the proof
• curprev 21:1221:12, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 14,988 bytes +302‎ →‎First results: first halfof the proof of the third part
• curprev 21:0621:06, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 14,802 bytes +116‎ →‎First results: 2nd part of the proof
• curprev 18:2718:27, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 14,686 bytes 0‎ →‎First results: typo
• curprev 18:2618:26, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 14,686 bytes +3,249‎ →‎First results: thm 1 + proof of the first part.
• curprev 17:5717:57, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 14,183 bytes +343‎ →‎First results: cnt.
• curprev 17:4117:41, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 13,840 bytes +735‎ →‎First results
• curprev 17:1917:19, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 13,105 bytes +1,501‎ →‎The method of neighbors and median
• curprev 11:2511:25, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 11,604 bytes +167‎ →‎Rational representation: |M| = c * d
• curprev 11:1711:17, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 11,437 bytes +1,388‎ →‎Rational representation: looks
• curprev 11:1611:16, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 11,436 bytes +612‎ →‎Rational representation: of matrices
• curprev 10:5210:52, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 10,824 bytes +775‎ →‎Matrix monoid \mathit{SO}(\mathbb{Z}_+, 2): cosmetic
• curprev 10:4810:48, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 10,783 bytes +734‎ →‎Matrix monoid \mathit{SO}(\mathbb{Z}_+, 2): rel primality of special columns and rowa
• curprev 10:3710:37, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 10,642 bytes +593‎ →‎Rational representation
• curprev 10:0910:09, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 10,200 bytes +151‎ →‎Matrix monoid \mathit{SO}(\mathbb{Z}_+, 2)
• curprev 10:0610:06, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 10,049 bytes 0‎ →‎Matrix monoid \mathit{SO}(\mathbb{Z}_+, 2): awful typo! :-)
• curprev 08:0008:00, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 10,049 bytes +1,330‎ →‎Matrix monoid \mathit{SO}(\mathbb{Z}_+, 2): neighbors
• curprev 07:2007:20, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 8,733 bytes +14‎ →‎matrix monoid \mathit{SO}(\mathbb{Z}_+, 2): title
• curprev 07:1507:15, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 8,719 bytes +2,578‎ →‎\mathit{SO}(\mathbb{Z}_+, 2): monoid, identity matrix.
• curprev 07:1107:11, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 8,520 bytes +2,379‎ →‎SO(Z_+,2)
• curprev 06:2906:29, 14 January 2008‎ imported>Wlodzimierz Holsztynski‎ 8,016 bytes +1,875‎ →‎Relatively prime pairs of integers: Fibonacci number

13 January 2008

• curprev 16:5816:58, 13 January 2008‎ imported>Wlodzimierz Holsztynski‎ 7,883 bytes +1,742‎ →‎Relatively prime pairs of integers: proof
• curprev 16:0516:05, 13 January 2008‎ imported>Wlodzimierz Holsztynski‎ 6,141 bytes +6,141‎ →‎Relatively prime pairs of integers: generating the table of all of them
• curprev 06:5906:59, 13 January 2008‎ imported>Wlodzimierz Holsztynski‎ 5,224 bytes +188‎ →‎Relatively prime pairs of integers: simple theorem (no proof needed)

12 January 2008

• curprev 22:3522:35, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 5,036 bytes +369‎ →‎Divisibility: parenthesis
• curprev 22:3322:33, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 5,035 bytes +368‎ →‎Divisibility: arythmetics
• curprev 21:5621:56, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 4,924 bytes +257‎ →‎Relatively prime pairs of integers: 0, 1.
• curprev 21:4621:46, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 4,730 bytes +63‎ →‎Relatively prime pairs of integers: looks
• curprev 21:4521:45, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 4,723 bytes +56‎ →‎Divisibility: -a|b etc
• curprev 21:3621:36, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 4,667 bytes +4,667‎ →‎Relatively prime pairs of integers: def.
• curprev 21:2821:28, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 4,402 bytes +4,402‎ →‎Divisibility: a rewording added
• curprev 21:1821:18, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 4,328 bytes +1,827‎ →‎Divisibility
• curprev 21:0921:09, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 4,278 bytes +114‎ →‎Notation: non-negative integers
• curprev 21:0421:04, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 4,164 bytes +1,663‎ →‎Divisibility: partial order
• curprev 20:4420:44, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 3,723 bytes +1,077‎ →‎Divisibility: b|a
• curprev 20:4020:40, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 3,583 bytes +937‎ →‎Notation: x|y
• curprev 20:3420:34, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 3,487 bytes −1‎ →‎Notation: looks
• curprev 20:3320:33, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ m 3,488 bytes +842‎ →‎Notation: looks
• curprev 20:3220:32, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 3,480 bytes +834‎ →‎Divisibility: 0 and 1
• curprev 20:0320:03, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 2,973 bytes +327‎ →‎Divisibility
• curprev 19:4919:49, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 2,646 bytes +145‎ →‎Notation: more notation
• curprev 19:3519:35, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 2,501 bytes +943‎ →‎Notation
• curprev 19:3219:32, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 2,355 bytes +797‎ →‎Notation
• curprev 17:3217:32, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 1,825 bytes +267‎ →‎Introduction: full theorem
• curprev 08:2108:21, 12 January 2008‎ imported>Wlodzimierz Holsztynski‎ 1,558 bytes +1,558‎ start