Liouville number: Revision history

22 November 2024

• curprev 15:2315:23, 22 November 2024 91.105.15.94 talk 20,725 bytes +1 Removed contraction, as MOS advises against them. undo Tags: Visual edit Mobile edit Mobile web edit
• curprev 15:2215:22, 22 November 2024 91.105.15.94 talk 20,724 bytes +1 Removed contraction, as MOS advises against them. undo Tags: Visual edit Mobile edit Mobile web edit

11 November 2024

• curprev 15:0115:01, 11 November 2024 Dyspophyr talk contribs 20,723 bytes +26 →Liouville numbers and transcendence: link -> simple continued fraction undo

8 September 2024

• curprev 20:4420:44, 8 September 2024 MuCephei14 talk contribs 20,697 bytes −12,568 Material WP:SPLIT to Irrationality measure undo Tag: Visual edit: Switched

3 September 2024

• curprev 11:5711:57, 3 September 2024 MuCephei14 talk contribs 33,265 bytes −2 →Irrationality measure: generalization, see sondow ref undo Tag: Visual edit
• curprev 09:3709:37, 3 September 2024 MuCephei14 talk contribs 33,267 bytes +298 →Irrationality base: Ref: Sondow [27] undo Tag: Visual edit
• curprev 09:1509:15, 3 September 2024 MuCephei14 talk contribs 32,969 bytes +13 →Irrationality base: correction undo Tag: Visual edit

31 August 2024

• curprev 15:2115:21, 31 August 2024 Turtlens talk contribs 32,956 bytes +25 No edit summary undo

26 August 2024

• curprev 00:4500:45, 26 August 2024 MuCephei14 talk contribs 32,931 bytes +819 →Irrationality measure: notes undo Tag: Visual edit

25 August 2024

• curprev 23:4123:41, 25 August 2024 MuCephei14 talk contribs 32,112 bytes +54 →Irrationality measure: Better upper bound for arctan1/3 undo Tag: Visual edit
• curprev 23:2123:21, 25 August 2024 MuCephei14 talk contribs 32,058 bytes −2,634 →Irrationality measure: making table more concise undo Tag: Visual edit
• curprev 23:0723:07, 25 August 2024 MuCephei14 talk contribs 34,692 bytes +726 →Irrationality measure: list arctan 1/2 instead of 1/4 and 1/5 undo Tag: Visual edit

23 August 2024

• curprev 14:2114:21, 23 August 2024 MuCephei14 talk contribs 33,966 bytes −113 →Irrationality measure: Thue-Morse constants: better result + correction of previous series undo Tag: Visual edit: Switched

22 August 2024

• curprev 23:4723:47, 22 August 2024 MuCephei14 talk contribs m 34,079 bytes +13 →Irrationality measure: swapping rows, mostly for the citations to be in order undo Tag: Visual edit
• curprev 23:4023:40, 22 August 2024 MuCephei14 talk contribs 34,066 bytes −1,953 →Irrationality measure: Many similar but irrelevant numbers were listed separately in this list, making it unwieldy and too long. I removed most of them, leaving only one (the most basic) of each form. The upper bounds for the other numbers can be found in the cited papers, respectively. undo Tag: Visual edit
• curprev 23:2123:21, 22 August 2024 MuCephei14 talk contribs 36,019 bytes +214 Giving the correct reference.There are two papers from Polyanskii with an almost identical name. "On the irrationality measure of certain numbers" and "On the irrationality measure of certain numbers II". For some numbers in this list, the wrong citation was given. undo Tag: Visual edit
• curprev 22:5222:52, 22 August 2024 MuCephei14 talk contribs 35,805 bytes +514 →Irrationality measure: added cahen's constant undo Tag: Visual edit: Switched

27 July 2024

• curprev 15:0015:00, 27 July 2024 Will Orrick talk contribs 35,291 bytes −8 →Irrationality measure: The "positive integer" condition is immaterial; it's better to drop it here. In light of this, "largest" has been rephrased in terms of supremum, which is also what the cited source uses. "Coprime" is also irrelevant (given the "0 <" part of the inequality), and not in the cited source, so I have removed it. undo

26 July 2024

• curprev 14:5314:53, 26 July 2024 Will Orrick talk contribs 35,299 bytes +62 →Irrationality measure: improve wording; add some wikilinks in table undo
• curprev 09:4209:42, 26 July 2024 Will Orrick talk contribs 35,237 bytes +3 →Irrationality measure: notation in displayed formula, "mu" --> "mu(x)" undo
• curprev 05:5405:54, 26 July 2024 Will Orrick talk contribs 35,234 bytes +318 Revise introduction, including adding mention of Liouville's constant undo
• curprev 04:5604:56, 26 July 2024 Will Orrick talk contribs 34,916 bytes 0 Since transcendence is the main reason for considering Liouville numbers, the section on transcendence needs to be more prominent. undo
• curprev 04:5104:51, 26 July 2024 Will Orrick talk contribs m 34,916 bytes +4 →Irrationality measure: correct two typos undo
• curprev 04:4304:43, 26 July 2024 Will Orrick talk contribs 34,912 bytes −54 →Liouville numbers and transcendence: State the assertion to be proved before starting the proof. Move discussion of transcendental numbers that are not Liouville below the proof. Refine the wording slightly. undo

25 July 2024

• curprev 22:2622:26, 25 July 2024 Will Orrick talk contribs 34,966 bytes +79 →Irrationality measure: try to tighten the prose undo
• curprev 18:4118:41, 25 July 2024 Will Orrick talk contribs 34,887 bytes −317 A few wording tweaks. In particular, it seems overly fussy to keep hedging about existence after existence has been established. undo
• curprev 17:4217:42, 25 July 2024 Will Orrick talk contribs m 35,204 bytes 0 →Irrationality measure: spelling: "predictable" --> "predictably" undo
• curprev 17:0717:07, 25 July 2024 Will Orrick talk contribs 35,204 bytes −2 →Liouville numbers and transcendence: grammar correction and slight wording improvement undo

22 July 2024

• curprev 04:1404:14, 22 July 2024 LaundryPizza03 talk contribs 35,206 bytes +56 →Irrationality measure: Propose split undo

13 May 2024

• curprev 13:4813:48, 13 May 2024 יהודה שמחה ולדמן talk contribs 35,150 bytes −1,038 →Liouville numbers and transcendence undo

11 May 2024

• curprev 21:4121:41, 11 May 2024 יהודה שמחה ולדמן talk contribs 36,188 bytes −196 →The existence of Liouville numbers (Liouville's constant) undo

7 May 2024

• curprev 17:0217:02, 7 May 2024 Dominik aus Polen talk contribs m 36,384 bytes +22 →See also: Markov constant undo

11 April 2024

• curprev 19:3719:37, 11 April 2024 יהודה שמחה ולדמן talk contribs 36,362 bytes −216 No edit summary undo

12 February 2024

• curprev 18:1118:11, 12 February 2024 130.243.94.123 talk 36,578 bytes +385 →Liouville numbers and transcendence: Got rid of pointless contradiction. Made use of math tag with display="block" attribute. undo

25 January 2024

• curprev 17:4517:45, 25 January 2024 Beland talk contribs m 36,193 bytes −10 MOS:ELLIPSES (via WP:JWB) undo

6 January 2024

• curprev 14:5814:58, 6 January 2024 OAbot talk contribs m 36,203 bytes +35 Open access bot: hdl updated in citation with #oabot. undo

10 December 2023

• curprev 00:3600:36, 10 December 2023 Saposto talk contribs 36,168 bytes 0 →Liouville numbers and measure undo
• curprev 00:3500:35, 10 December 2023 Saposto talk contribs 36,168 bytes +4 →Liouville numbers and measure undo
• curprev 00:3500:35, 10 December 2023 Saposto talk contribs 36,164 bytes +146 →Liouville numbers and measure undo

20 October 2023

• curprev 11:5611:56, 20 October 2023 TheGoblin talk contribs 36,018 bytes −22 →Liouville numbers and transcendence: Replace indirect reference for statement that Mahler proved result with direct one undo

2 July 2023

• curprev 18:3018:30, 2 July 2023 Dchew89 talk contribs m 36,040 bytes +3 →Irrationality measure: These are known to be transcendental, and thus have lower bound 2 undo Tag: Visual edit: Switched

28 June 2023

• curprev 22:0822:08, 28 June 2023 2001:9e8:4991:fd00:89d6:e722:352f:be7 talk 36,037 bytes −15 Old sentence was weird, as (a) the article even with proof constructs an example of a Liouville number, (b) any assumption on existence is redundant anyway, as the conclusion would be vacuously true. undo

8 June 2023

• curprev 03:5503:55, 8 June 2023 The Troutinator talk contribs m 36,052 bytes −3 Removed double spaces. undo Tags: Visual edit Newcomer task Newcomer task: copyedit

4 June 2023

• curprev 20:0120:01, 4 June 2023 1IceCloudStation talk contribs m 36,055 bytes −39 The problem mentioned in the Notes on the Proof no longer exists. Minor grammatical correction. undo Tags: Visual edit Newcomer task Newcomer task: copyedit

3 June 2023

• curprev 08:2208:22, 3 June 2023 Ndcroos talk contribs m 36,094 bytes +1 No edit summary undo

1 June 2023

• curprev 14:5214:52, 1 June 2023 Rrreeejjj talk contribs 36,093 bytes −48 'We' removed and interchanged throughout the article. However, 'we' is commonly used in mathematical proofs so the flag for this is maybe not essential as it is easiest to read using 'we'. undo Tags: Visual edit Newcomer task Newcomer task: copyedit
• curprev 02:3802:38, 1 June 2023 Will Orrick talk contribs 36,141 bytes +18 Undid revision 1157869604 by DMjr06 (talk) The many disimprovements in the previous edit outweigh any small improvements it might have contained. undo Tag: Undo

31 May 2023

• curprev 13:4013:40, 31 May 2023 DMjr06 talk contribs m 36,123 bytes −18 Minor grammatical changes on the Proof of the L undo Tags: Reverted Visual edit Newcomer task Newcomer task: copyedit

29 May 2023

• curprev 21:3521:35, 29 May 2023 Chuck541 talk contribs m 36,141 bytes −4 Removed inappropriate use of first person pronouns undo Tags: Visual edit Newcomer task Newcomer task: copyedit

27 May 2023

• curprev 02:5302:53, 27 May 2023 AnomieBOT talk contribs m 36,145 bytes +14 Dating maintenance tags: {{Inappropriate person}} undo