Talk:2835: Factorial Numbers - Revision history

92.23.2.228: /* Practicality */

2025-06-30T22:43:57Z

‎Practicality

72.74.164.73 at 19:53, 30 June 2025

2025-06-30T19:53:10Z

87.bus.rider: /* I like how 101 dalmatians can now be 7 dalmatians */ new section

2024-03-15T11:28:58Z

‎I like how 101 dalmatians can now be 7 dalmatians: new section

162.158.33.130: /* Practicality */

2024-01-28T00:59:21Z

‎Practicality

172.70.210.201: comment

2024-01-28T00:28:50Z

comment

172.71.178.33 at 19:09, 19 January 2024

2024-01-19T19:09:23Z

B for brain at 17:31, 19 January 2024

2024-01-19T17:31:38Z

NiceGuy1 at 04:27, 19 November 2023

2023-11-19T04:27:31Z

172.71.147.123: /* Fractions */

2023-10-17T19:49:45Z

‎Fractions

198.41.236.153: /* Fractions */

2023-10-13T09:42:34Z

‎Fractions

@@ Line 191: / Line 191: @@
 :But that's just the most trivial use, a mere abstract compared to some more complex topological uses that map 1:1ish against number theory. Use your imagination! [[Special:Contributions/162.158.33.130|162.158.33.130]] 00:59, 28 January 2024 (UTC)
-I was able to use this number system to create a generalized "monty hall" simulator (if you have 4 doors, the first time you can pick two doors to switch to or stay, which is three choices, not two) so this is useful for at least one thing.
+I was able to use this number system to create a generalized "monty hall" simulator (if you have 4 doors, the first time you can pick two doors to switch to or stay, which is three choices, not two) so this is useful for at least one thing. {{unsigned ip|s of 19:53,72.74.164.73|30 June 2025}}
 == I like how 101 dalmatians can now be 7 dalmatians  ==
 [[User:87.bus.rider|87.bus.rider]] ([[User talk:87.bus.rider|talk]]) 11:28, 15 March 2024 (UTC)

@@ Line 190: / Line 190: @@
 :At the very least, it gives an easier-to-use (from representation to implementation) rearrangement, knowing that you just have to slice off bits of both the sort-key (shifting off a digit at a time, to get N1, N2, N3... etc) and the source-sequence (splicing out the  N1th, N2th, N3th... etc). Easier than saying "try the 2835th recombination plan".
 :But that's just the most trivial use, a mere abstract compared to some more complex topological uses that map 1:1ish against number theory. Use your imagination! [[Special:Contributions/162.158.33.130|162.158.33.130]] 00:59, 28 January 2024 (UTC)
 == I like how 101 dalmatians can now be 7 dalmatians  ==
 [[User:87.bus.rider|87.bus.rider]] ([[User talk:87.bus.rider|talk]]) 11:28, 15 March 2024 (UTC)

← Older revision		Revision as of 11:28, 15 March 2024
Line 190:		Line 190:
	:At the very least, it gives an easier-to-use (from representation to implementation) rearrangement, knowing that you just have to slice off bits of both the sort-key (shifting off a digit at a time, to get N1, N2, N3... etc) and the source-sequence (splicing out the N1th, N2th, N3th... etc). Easier than saying "try the 2835th recombination plan".		:At the very least, it gives an easier-to-use (from representation to implementation) rearrangement, knowing that you just have to slice off bits of both the sort-key (shifting off a digit at a time, to get N1, N2, N3... etc) and the source-sequence (splicing out the N1th, N2th, N3th... etc). Easier than saying "try the 2835th recombination plan".
	:But that's just the most trivial use, a mere abstract compared to some more complex topological uses that map 1:1ish against number theory. Use your imagination! [[Special:Contributions/162.158.33.130\|162.158.33.130]] 00:59, 28 January 2024 (UTC)		:But that's just the most trivial use, a mere abstract compared to some more complex topological uses that map 1:1ish against number theory. Use your imagination! [[Special:Contributions/162.158.33.130\|162.158.33.130]] 00:59, 28 January 2024 (UTC)
		+
		+	== I like how 101 dalmatians can now be 7 dalmatians ==
		+
		+	[[User:87.bus.rider\|87.bus.rider]] ([[User talk:87.bus.rider\|talk]]) 11:28, 15 March 2024 (UTC)

← Older revision		Revision as of 00:59, 28 January 2024
Line 186:		Line 186:
	== Practicality ==		== Practicality ==

−	It doesn't seem that this number system actually has that much practicality. Perhaps this can be proven wrong though.	+	It doesn't seem that this number system actually has that much practicality. Perhaps this can be proven wrong though. {{unsigned ip\|172.70.210.201\|00:28, 28 January 2024}}
		+	:There's already some pointers as to what it's practical at, above...
		+	:At the very least, it gives an easier-to-use (from representation to implementation) rearrangement, knowing that you just have to slice off bits of both the sort-key (shifting off a digit at a time, to get N1, N2, N3... etc) and the source-sequence (splicing out the N1th, N2th, N3th... etc). Easier than saying "try the 2835th recombination plan".
		+	:But that's just the most trivial use, a mere abstract compared to some more complex topological uses that map 1:1ish against number theory. Use your imagination! [[Special:Contributions/162.158.33.130\|162.158.33.130]] 00:59, 28 January 2024 (UTC)

← Older revision		Revision as of 00:28, 28 January 2024
Line 183:		Line 183:
	: "In this article, a factorial number representation will be flagged by a subscript '!'", that sounds like it's not a standard notation, just one THAT editor used for THAT article to clarify things when explaining it. [[User:NiceGuy1\|NiceGuy1]] ([[User talk:NiceGuy1\|talk]]) 05:44, 7 October 2023 (UTC)		: "In this article, a factorial number representation will be flagged by a subscript '!'", that sounds like it's not a standard notation, just one THAT editor used for THAT article to clarify things when explaining it. [[User:NiceGuy1\|NiceGuy1]] ([[User talk:NiceGuy1\|talk]]) 05:44, 7 October 2023 (UTC)
	::It's used at least in a Scientific American article from 4 years ago: https://blogs.scientificamerican.com/roots-of-unity/its-factoradical/		::It's used at least in a Scientific American article from 4 years ago: https://blogs.scientificamerican.com/roots-of-unity/its-factoradical/
		+
		+	== Practicality ==
		+
		+	It doesn't seem that this number system actually has that much practicality. Perhaps this can be proven wrong though.

@@ Line 16: / Line 16: @@
 Should we move the line about the number at the top of the presentation being the number of this comic to trivia? Seems like it belongs there. [[User:B_for_brain|B for brain]] ([[User_talk:B_for_brain|talk]]) ([https://www.youtube.com/channel/UCg4bo-hj-mDyOOUp_Yp0pug youtube channel] [https://bforbrain.weebly.com/ wobsite (supposed to be a blag)] 17:31, 19 January 2024 (UTC)
 ==Fractions==
 I have actually considered this system, though not with any illusion of its being useful. Any system "exists", just as any number "exists". A system where 1 = decimal 1, 10 = decimal 29, 100 = decimal 493 , exists in the monetary system of the Harry Potter world. An actual system existed where 1d = 1d, 1/- = 12d, £1/-/- = 240d.

@@ Line 66: / Line 66: @@
 :Okay, now the Incomplete warning needs to stay up forever. :) [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 05:13, 1 October 2023 (UTC)
 ::nope
 :In case you weren’t aware, this wiki has a tradition of humor. This is one of its examples. [[Special:Contributions/172.68.58.134|172.68.58.134]] 12:56, 2 October 2023 (UTC)

@@ Line 20: / Line 20: @@
 ⁄2 = 0.1
-⁄3 = 0.021
+⁄3 = 0.021  [Corrected: 0.02]
-⁄4 = 0.0121
+⁄4 = 0.0121  [Corrected: 0.012]
-⁄5 = 0.01041
+⁄5 = 0.01041  [Corrected: 0.0104]
-⁄6 = 0.011
+⁄6 = 0.011  [Corrected: 0.01]
-⁄7 = 0.0032061
+⁄7 = 0.0032061  [Corrected: 0.003206]
-⁄8 = 0.0031
+⁄8 = 0.0031  [Corrected: 0.003]
-⁄9 = 0.002321
+⁄9 = 0.002321  [Corrected: 0.00232]
 ⁄10 = 0.0022
 π = 11.003156502.....
@@ Line 40: / Line 40: @@
 e = 10.11111111111111111111.....
   [[Special:Contributions/198.41.236.185|198.41.236.185]] 09:34, 13 October 2023 (UTC)
 ==..==

@@ Line 18: / Line 18: @@
 It's only on seeing that someone else had come up with this system, that it's occurred to me to consider fractions. Any rational number has a finite number of places after the "factoradic" point. Anything with infinite repetition after the point is irrational.
-⁄2 = 0.1</p>
+⁄2 = 0.1
-⁄3 = 0.021</p>
-⁄4 = 0.0121</p>
+⁄3 = 0.021
-⁄5 = 0.01041</p>
-⁄6 = 0.011</p>
+⁄4 = 0.0121
-⁄7 = 0.0032061</p>
-⁄8 = 0.0031</p>
+⁄5 = 0.01041
-⁄9 = 0.002321</p>
-⁄10 = 0.0022</p>
+⁄6 = 0.011
-π = 11.003156502.....</p>
-e = 10.11111111111111111111.....</p> [[Special:Contributions/198.41.236.185|198.41.236.185]] 09:34, 13 October 2023 (UTC)
+⁄7 = 0.0032061
 Factorial base also allows to finitely represent all rational numbers - no constant base is capable of that! [[Special:Contributions/172.68.238.76|172.68.238.76]] 01:55, 30 September 2023 (UTC)