Editing Talk:2835: Factorial Numbers
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This needs simplifying a bit. Came here because I had no idea what was going on, and after a quick scroll through the prose, the main thing I learned was "it's 'cause you're dumb". May be true but I still don't get what Randall's factorial system is....[[User:Alcatraz ii|Alcatraz ii]] ([[User talk:Alcatraz ii|talk]]) 01:25, 30 September 2023 (UTC) | This needs simplifying a bit. Came here because I had no idea what was going on, and after a quick scroll through the prose, the main thing I learned was "it's 'cause you're dumb". May be true but I still don't get what Randall's factorial system is....[[User:Alcatraz ii|Alcatraz ii]] ([[User talk:Alcatraz ii|talk]]) 01:25, 30 September 2023 (UTC) | ||
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==Fractions== | ==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. | 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. | ||
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. | 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. | ||
− | 1⁄2 = 0.1 | + | 1⁄2 = 0.1<p> |
− | + | 1⁄3 = 0.021<p> | |
− | 1⁄3 = 0.021 | + | 1⁄4 = 0.0121<p> |
− | + | 1⁄5 = 0.01041<p> | |
− | 1⁄4 = 0.0121 | + | 1⁄6 = 0.011<p> |
− | + | 1⁄7 = 0.0032061<p> | |
− | 1⁄5 = 0.01041 | + | 1⁄8 = 0.0031<p> |
− | + | 1⁄9 = 0.002321<p> | |
− | 1⁄6 = 0.011 | + | 1⁄10 = 0.0022 |
− | + | π = 11.003156502.....1<p> | |
− | 1⁄7 = 0.0032061 | + | e = 10.11111111111111111111.....1<p> [[Special:Contributions/198.41.236.185|198.41.236.185]] 09:34, 13 October 2023 (UTC) |
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− | 1⁄8 = 0.0031 | ||
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− | 1⁄9 = 0.002321 | ||
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− | 1⁄10 = 0.0022 | ||
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− | π = 11.003156502..... | ||
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− | e = 10.11111111111111111111..... | ||
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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) | 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) | ||
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:Okay, now the Incomplete warning needs to stay up forever. :) [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 05:13, 1 October 2023 (UTC) | :Okay, now the Incomplete warning needs to stay up forever. :) [[User:NiceGuy1|NiceGuy1]] ([[User talk:NiceGuy1|talk]]) 05:13, 1 October 2023 (UTC) | ||
::nope | ::nope | ||
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: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) | :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) | ||
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: "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/ | ||
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