Double factorial: Revision history

4 August 2024

• curprev 00:3400:34, 4 August 2024‎ David Eppstein talk contribs‎ 28,967 bytes −11‎ Undid revision 1238460932 by Masatami (talk) it IS an empty product. The empty product is defined to have value 1. But its being an empty product is not a separate definition; it is just the same definition as for other numbers. undo Tag: Undo
• curprev 00:1700:17, 4 August 2024‎ Masatami talk contribs‎ 28,978 bytes +11‎ wording undo Tags: Reverted Visual edit

22 July 2024

• curprev 19:3019:30, 22 July 2024‎ Quantling talk contribs‎ 28,967 bytes +1‎ Undoing WP:GOODFAITH edits 1236007246 by Leolip128 (talk). All other equations have a falling product; in some cases this simplifies the presentation. Even though the product symbol Π is usually interpreted as rising, I think consistency is more important. undo Tag: Undo
• curprev 11:0511:05, 22 July 2024‎ Leolip128 talk contribs‎ m 28,966 bytes −1‎ I corrected the double factorial definition as a rising product. undo Tag: Reverted

22 June 2024

• curprev 16:3716:37, 22 June 2024‎ Quantling talk contribs‎ 28,967 bytes +137‎ So that the reader is not blindsided by the alternative definition that is much farther below undo

21 June 2024

• curprev 21:1621:16, 21 June 2024‎ Mike Schwartz talk contribs‎ m 28,830 bytes +42‎ →‎top: ADD an "|authorlink=Donald Knuth" field to the "{{Cite book}}" template instance for footnote number "[6]". Also, include a wikilink pointing to the same article -- (the article about] "Donald Knuth") -- right where the [surname only] name "Knuth" was already appearing -- (without any hyperlink) -- in the same sentence. undo

17 June 2024

• curprev 13:2513:25, 17 June 2024‎ Quantling talk contribs‎ 28,788 bytes −84‎ Combining two similar clauses into one undo
• curprev 08:4008:40, 17 June 2024‎ Jack Beda talk contribs‎ 28,872 bytes +29‎ No edit summary undo Tag: Visual edit

18 May 2024

• curprev 06:5706:57, 18 May 2024‎ David Eppstein talk contribs‎ 28,843 bytes +32‎ George Dassios undo

31 March 2024

• curprev 13:2813:28, 31 March 2024‎ Leolip128 talk contribs‎ m 28,811 bytes 0‎ →‎History and usage undo

14 February 2024

• curprev 12:5412:54, 14 February 2024‎ 193.1.131.12 talk‎ 28,811 bytes +224‎ I added a reference to the term "semifactorial". undo Tag: Visual edit

13 February 2024

• curprev 11:2711:27, 13 February 2024‎ 176.61.96.58 talk‎ 28,587 bytes +86‎ No edit summary undo

30 January 2024

• curprev 18:3018:30, 30 January 2024‎ JayBeeEll talk contribs‎ m 28,501 bytes +5‎ Reverted 1 edit by 149.220.156.13 (talk) to last revision by David Eppstein undo Tags: Twinkle Undo
• curprev 14:4814:48, 30 January 2024‎ 149.220.156.13 talk‎ 28,496 bytes −5‎ →‎History and usage undo Tag: Reverted

16 December 2023

• curprev 08:1308:13, 16 December 2023‎ David Eppstein talk contribs‎ 28,501 bytes −6‎ Undid revision 1190153557 by 2001:FB1:15C:9EB7:7C5F:A875:9B1D:86C1 (talk) misses the meaning. "not" here is not about whether the iterated factorial and double factorial are the same thing, but about the fact that the iterated factorial is "not" written as n!!. undo Tag: Undo
• curprev 06:5906:59, 16 December 2023‎ 2001:fb1:15c:9eb7:7c5f:a875:9b1d:86c1 talk‎ 28,507 bytes +6‎ No edit summary undo Tag: Reverted

24 September 2023

• curprev 09:4309:43, 24 September 2023‎ Gtgith talk contribs‎ m 28,501 bytes +29‎ →‎Applications in enumerative combinatorics undo

10 August 2023

• curprev 00:2200:22, 10 August 2023‎ Quantling talk contribs‎ 28,472 bytes +57‎ →‎Relation to the factorial: point reader to falling factorial undo

6 July 2023

• curprev 17:2217:22, 6 July 2023‎ 2600:1700:9b40:3bf0:60b2:d0f6:1c66:701a talk‎ 28,415 bytes −1‎ →‎Complex arguments undo

30 June 2023

• curprev 23:4523:45, 30 June 2023‎ Discospinster talk contribs‎ m 28,416 bytes −31‎ Reverted edits by 174.96.14.175 (talk) (HG) (3.4.12) undo Tags: Huggle Rollback
• curprev 23:4423:44, 30 June 2023‎ 174.96.14.175 talk‎ 28,447 bytes +18‎ No edit summary undo Tags: Reverted Visual edit Mobile edit Mobile web edit
• curprev 23:4123:41, 30 June 2023‎ 174.96.14.175 talk‎ 28,429 bytes +13‎ No edit summary undo Tags: Reverted Visual edit Mobile edit Mobile web edit

23 June 2023

• curprev 23:1323:13, 23 June 2023‎ Quantling talk contribs‎ 28,416 bytes +25‎ →‎Complex arguments: As with the alpha-factorial, below, the transition to the next line of math is clearer without the factor of 1 undo
• curprev 13:2613:26, 23 June 2023‎ Quantling talk contribs‎ 28,391 bytes +8‎ →‎Relation to the factorial: Less work for the reader undo
• curprev 06:3406:34, 23 June 2023‎ David Eppstein talk contribs‎ 28,383 bytes −2‎ Undid revision 1161514596 by David Eppstein (talk) didn't help undo Tag: Undo
• curprev 06:3406:34, 23 June 2023‎ David Eppstein talk contribs‎ 28,385 bytes +2‎ →‎Generalized Stirling numbers expanding the multifactorial functions: does this help the scrollbar? undo Tag: Reverted
• curprev 06:3306:33, 23 June 2023‎ David Eppstein talk contribs‎ 28,383 bytes +5‎ →‎Generalized Stirling numbers expanding the multifactorial functions: same undo
• curprev 06:3306:33, 23 June 2023‎ David Eppstein talk contribs‎ 28,378 bytes +6‎ →‎Additional identities: too wide undo
• curprev 01:1801:18, 23 June 2023‎ Quantling talk contribs‎ 28,372 bytes +56‎ →‎Complex arguments: Give the name of the function that was used undo
• curprev 01:0901:09, 23 June 2023‎ Quantling talk contribs‎ 28,316 bytes 0‎ →‎Relation to the factorial: negative n are problematic undo

7 June 2023

• curprev 17:4417:44, 7 June 2023‎ Quantling talk contribs‎ 28,316 bytes +136‎ →‎Definitions: Include negative values of n as well undo

2 June 2023

• curprev 17:5317:53, 2 June 2023‎ Quantling talk contribs‎ 28,180 bytes −34‎ →‎Definitions: in fact, it would make sense to have a non-zero value for negative integers that aren't a multiple of α. Let's just be silent about this. undo
• curprev 17:4917:49, 2 June 2023‎ Quantling talk contribs‎ 28,214 bytes +82‎ →‎Complex arguments: asymptotics of the complex-number generalization undo
• curprev 17:2017:20, 2 June 2023‎ JayBeeEll talk contribs‎ 28,132 bytes +1‎ I do not think the huge cases environment is an improvement undo
• curprev 13:5113:51, 2 June 2023‎ Quantling talk contribs‎ 28,131 bytes +53‎ →‎Complex arguments: Clarify antecedents undo
• curprev 13:4413:44, 2 June 2023‎ Quantling talk contribs‎ 28,078 bytes +2‎ Let's say "positive" rather than "from 1". It's the same in the end, but in the case where n is even and thus the lowest relevant integer is 2, the latter is a little more confusing than the former. undo
• curprev 13:1913:19, 2 June 2023‎ Quantling talk contribs‎ 28,076 bytes −10‎ Reverting simple sequence of numbers to text, to ease copy and paste of values undo
• curprev 01:5101:51, 2 June 2023‎ Sbb talk contribs‎ 28,086 bytes +28‎ fix error from previous checkin undo Tag: 2017 wikitext editor
• curprev 01:4701:47, 2 June 2023‎ Sbb talk contribs‎ 28,058 bytes −1,407‎ replaced colon-indent <math> with <math display=block> (by SublimeText.Mediawiker) undo

31 May 2023

• curprev 00:0900:09, 31 May 2023‎ JayBeeEll talk contribs‎ m 29,465 bytes +16‎ Reverted 1 edit by 2A02:8071:5080:D5C0:0:0:0:3F3D (talk) to last revision by Quantling undo Tags: Twinkle Undo

30 May 2023

• curprev 23:5123:51, 30 May 2023‎ 2a02:8071:5080:d5c0::3f3d talk‎ 29,449 bytes −16‎ →‎Additional identities undo Tag: Reverted

11 April 2023

• curprev 16:5816:58, 11 April 2023‎ Quantling talk contribs‎ 29,465 bytes −489‎ Undid revision 1149285205 by Saucy (talk) If there is a citation to a text that shows the use of cosine in the double factorial, please supply it undo Tag: Undo
• curprev 08:1808:18, 11 April 2023‎ Saucy talk contribs‎ 29,954 bytes +489‎ Undid revision 1139828852 by Quantling (talk): It is "actually used". In fact it's how WolframAlpha defines the double factorial undo Tags: Undo Reverted

5 April 2023

• curprev 17:3617:36, 5 April 2023‎ JayBeeEll talk contribs‎ 29,465 bytes −54‎ Undid revision 1148326545 by Yangfly Pan (talk) ?? undo Tag: Undo
• curprev 13:5913:59, 5 April 2023‎ Yangfly Pan talk contribs‎ m 29,519 bytes +54‎ →‎Complex arguments undo Tags: Reverted Visual edit

17 February 2023

• curprev 03:1803:18, 17 February 2023‎ Quantling talk contribs‎ 29,465 bytes −489‎ →‎Complex arguments: If this "alternative" is actually used, surely there is more than the one weak citation. undo Tag: Reverted

16 February 2023

• curprev 23:1623:16, 16 February 2023‎ 181.1.74.40 talk‎ 29,954 bytes +1‎ →‎Extensions: typo "Th" > "The" undo

5 February 2023

• curprev 18:4918:49, 5 February 2023‎ JayBeeEll talk contribs‎ 29,953 bytes +259‎ assorted tweaks undo

1 February 2023

• curprev 22:1522:15, 1 February 2023‎ Quantling talk contribs‎ 29,694 bytes +21‎ →‎Alternative extension of the multifactorial: remind reader that ''α'' is a positive integer (at this point of the discussion) undo
• curprev 22:1022:10, 1 February 2023‎ Quantling talk contribs‎ 29,673 bytes 0‎ →‎Alternative extension of the multifactorial: Use ''z'' as the complex argument, as in earlier sections undo