Talk:217: e to the pi Minus pi - Revision history

42.book.addict at 22:22, 5 November 2025

2025-11-05T22:22:03Z

Bebidek: Added comment about the situation being unlikely

2025-01-21T18:55:39Z

Added comment about the situation being unlikely

162.158.74.119: /* Not a coincidence */

2024-11-22T19:03:27Z

‎Not a coincidence

162.158.74.118: /* Not a coincidence */

2024-11-22T19:03:06Z

‎Not a coincidence

172.71.250.50: /* Not a coincidence */

2024-04-22T13:58:50Z

‎Not a coincidence

172.71.250.8: /* Not a coincidence */ new section

2024-04-22T13:57:39Z

‎Not a coincidence: new section

172.71.166.205: spambot

2022-10-17T15:54:57Z

spambot

Sarah the Pie(yes, the food): Added a comment

2022-02-22T21:09:02Z

Added a comment

Techblogger at 08:06, 23 September 2021

2021-09-23T08:06:00Z

162.158.187.98: Undo revision 215900 by Tom0099 (talk). This reverts a total replacement of this comment section. Also Tom, don't completely replace other people's comments.

2021-09-17T02:51:01Z

Undo revision 215900 by Tom0099 (talk). This reverts a total replacement of this comment section. Also Tom, don't completely replace other people's comments.

@@ Line 1: / Line 1: @@
 Asserting that the programmers' algorithms truncated to three decimal digits is an unsupported and unnecessary extrapolation.  Most floating-point implementations use binary, not decimal, and 19.999099979 ''looks'' very much like a rounding error in binary floating-point that has accumulated over several operations. [[User:Daddy|Daddy]] ([[User talk:Daddy|talk]]) 12:39, 29 April 2013 (UTC)
 :Fixed. [[User:Xhfz|Xhfz]] ([[User talk:Xhfz|talk]]) 22:57, 16 August 2013 (UTC)
 The third bullet-point above needs changing... (9^2+(19^2/22))=97.4090909091 which is close to pi to the fourth power, so it should be (as noted in the text) (9^2+(19^2/22))^1/4  [[User:Squirreltape|Squirreltape]] ([[User talk:Squirreltape|talk]]) 19:27, 25 February 2014 (UTC)
 :Actually, in-case you didn't notice, it says "∜(9² + 19²/22)", not just the sum on its own. I checked the sum on my calculator, and it is equal to what the page is saying. "∜(9² + 19²/22)" means "4th root of (9^2+19^2/22)" (What the title text is saying), or on Windows Calculator, "(9^2+19^2/22) yroot(4)" (Basically what the sum is saying). So, the 3rd bullet point is correct. --[[User:Katavschi|Katavschi]] ([[User talk:Katavschi|talk]]) 22:48, 23 April 2014 (UTC)
-It says above that (π + 20)^i ≈ -i, but this should be (π + 20)^i ≈ -1. Proof: π + 20 ≈ e^π => (π + 20)^i ≈ (e^π)^i = e^(πi) = -1.
+It says above that (π + 20)^i ≈ -i, but this should be (π + 20)^i ≈ -1. Proof: π + 20 ≈ e^π => (π + 20)^i ≈ (e^π)^i = e^(πi) = -1. {{unsigned ip|173.245.54.64|14:25, 6 June 2014 (UTC)}}
 The ACM competitions are famous for being under tight time pressure. Making your own team waste time would absolutely get you kicked out (and make enemies) [[User:Danshoham|Mountain Hikes]] ([[User talk:Danshoham|talk]]) 04:40, 23 September 2015 (UTC)
 ;"If they thought about the mathematics"
 hm, are you saying it is obvious that e^ pi - pi is not 20? How would you know without approximating it? The sum of two irrationals is not necessarily irrational. [[Special:Contributions/162.158.34.194|162.158.34.194]] 01:58, 26 October 2015 (UTC)
 :approximate e^pi using slightly bigger numbers than e and pi (say e: 2.7183 and pi: 3.1416) and subtract a value that is slightly smaller than pi (say 3.1415). The result is less than 20 and a upper limit for e^pi - pi [[Special:Contributions/141.101.93.49|141.101.93.49]] 19:59, 22 August 2016 (UTC)
@@ Line 22: / Line 17: @@
 The approximation in the title text(the first quantity) is an approximation provided by Ramanujan. [[User:Sarah the Pie(yes, the food)|Sarah the Pie(yes, the food)]] ([[User talk:Sarah the Pie(yes, the food)|talk]]) 21:09, 22 February 2022 (UTC)
-== Not a coincidence ==
+The "not good at math" might be too harsh, if they've (tried to) read the floating point spec.  Depending on precision and rounding regime and order of operations, I could easily imagine the "equation" to be true ... and therefore a test that you were rounding "properly", even when it wasn't intuitive. {{unsigned ip|172.68.38.64|22:28, 7 November 2019 (UTC)}}
 In the "Explanation" section, it says that "the title text pokes fun at ''another'' coincidence". This implies that what came before was a coincidence (without ever actually explicitly saying so). As already mentioned in the trivia section, this was indeed what was believed when the comic was published, but it is no longer true (an explanation for e<sup>π</sup> − π ≈ 20 was found in 2023; it is a simple consequence of π ≈ 22/7). The text should be updated accordingly. Relevant discussion about this can be found on {{w|Talk:Mathematical_coincidence#Explaining_e^%CF%80_%E2%88%92_%CF%80_%E2%89%88_20|this Wikipedia talk page}}, [https://pastebin.com/VzqPG5Gk here], and in the update eventually made to the [https://mathworld.wolfram.com/AlmostInteger.html Mathworld website] (the original source for much of this article). [[Special:Contributions/172.71.250.8|172.71.250.8]] 13:57, 22 April 2024 (UTC)
 :That there is some (quite complicated) derivation of e<sup>π</sup> − π ≈ 20 is neat, but that doesn't make it 'not a coincidence'. The fact that π ≈ 22/7 is also a coincidence anyway. [[Special:Contributions/162.158.74.118|162.158.74.118]] 19:03, 22 November 2024 (UTC)

← Older revision		Revision as of 18:55, 21 January 2025
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	The ACM competitions are famous for being under tight time pressure. Making your own team waste time would absolutely get you kicked out (and make enemies) [[User:Danshoham\|Mountain Hikes]] ([[User talk:Danshoham\|talk]]) 04:40, 23 September 2015 (UTC)		The ACM competitions are famous for being under tight time pressure. Making your own team waste time would absolutely get you kicked out (and make enemies) [[User:Danshoham\|Mountain Hikes]] ([[User talk:Danshoham\|talk]]) 04:40, 23 September 2015 (UTC)
		+
		+	One thing seems odd: during contests like ICPC, you usually don't (read: practically never) implement 'floating-point handlers' by yourself. In fact, you rarely need to use floating-point at all, but if you do, you use ready-made and well-tested implementation built into the language/processor. So, while it is possible that they would need their own implementation, I consider it really unlikely. [[User:Bebidek\|Bebidek]] ([[User talk:Bebidek\|talk]]) 18:55, 21 January 2025 (UTC)

	;"If they thought about the mathematics"		;"If they thought about the mathematics"

← Older revision		Revision as of 19:03, 22 November 2024
Line 23:		Line 23:

	In the "Explanation" section, it says that "the title text pokes fun at ''another'' coincidence". This implies that what came before was a coincidence (without ever actually explicitly saying so). As already mentioned in the trivia section, this was indeed what was believed when the comic was published, but it is no longer true (an explanation for e<sup>π</sup> − π ≈ 20 was found in 2023; it is a simple consequence of π ≈ 22/7). The text should be updated accordingly. Relevant discussion about this can be found on {{w\|Talk:Mathematical_coincidence#Explaining_e^%CF%80_%E2%88%92_%CF%80_%E2%89%88_20\|this Wikipedia talk page}}, [https://pastebin.com/VzqPG5Gk here], and in the update eventually made to the [https://mathworld.wolfram.com/AlmostInteger.html Mathworld website] (the original source for much of this article). [[Special:Contributions/172.71.250.8\|172.71.250.8]] 13:57, 22 April 2024 (UTC)		In the "Explanation" section, it says that "the title text pokes fun at ''another'' coincidence". This implies that what came before was a coincidence (without ever actually explicitly saying so). As already mentioned in the trivia section, this was indeed what was believed when the comic was published, but it is no longer true (an explanation for e<sup>π</sup> − π ≈ 20 was found in 2023; it is a simple consequence of π ≈ 22/7). The text should be updated accordingly. Relevant discussion about this can be found on {{w\|Talk:Mathematical_coincidence#Explaining_e^%CF%80_%E2%88%92_%CF%80_%E2%89%88_20\|this Wikipedia talk page}}, [https://pastebin.com/VzqPG5Gk here], and in the update eventually made to the [https://mathworld.wolfram.com/AlmostInteger.html Mathworld website] (the original source for much of this article). [[Special:Contributions/172.71.250.8\|172.71.250.8]] 13:57, 22 April 2024 (UTC)
−	:That there is some (quite complicated) derivation of e<sup>π</sup> − π ≈ 20 is neat, but that doesn't make it ''not a coincidence''. The fact that π ≈ 22/7 is also a coincidence anyway. [[Special:Contributions/162.158.74.118\|162.158.74.118]] 19:03, 22 November 2024 (UTC)	+	:That there is some (quite complicated) derivation of e<sup>π</sup> − π ≈ 20 is neat, but that doesn't make it 'not a coincidence'. The fact that π ≈ 22/7 is also a coincidence anyway. [[Special:Contributions/162.158.74.118\|162.158.74.118]] 19:03, 22 November 2024 (UTC)

← Older revision		Revision as of 19:03, 22 November 2024
Line 23:		Line 23:

	In the "Explanation" section, it says that "the title text pokes fun at ''another'' coincidence". This implies that what came before was a coincidence (without ever actually explicitly saying so). As already mentioned in the trivia section, this was indeed what was believed when the comic was published, but it is no longer true (an explanation for e<sup>π</sup> − π ≈ 20 was found in 2023; it is a simple consequence of π ≈ 22/7). The text should be updated accordingly. Relevant discussion about this can be found on {{w\|Talk:Mathematical_coincidence#Explaining_e^%CF%80_%E2%88%92_%CF%80_%E2%89%88_20\|this Wikipedia talk page}}, [https://pastebin.com/VzqPG5Gk here], and in the update eventually made to the [https://mathworld.wolfram.com/AlmostInteger.html Mathworld website] (the original source for much of this article). [[Special:Contributions/172.71.250.8\|172.71.250.8]] 13:57, 22 April 2024 (UTC)		In the "Explanation" section, it says that "the title text pokes fun at ''another'' coincidence". This implies that what came before was a coincidence (without ever actually explicitly saying so). As already mentioned in the trivia section, this was indeed what was believed when the comic was published, but it is no longer true (an explanation for e<sup>π</sup> − π ≈ 20 was found in 2023; it is a simple consequence of π ≈ 22/7). The text should be updated accordingly. Relevant discussion about this can be found on {{w\|Talk:Mathematical_coincidence#Explaining_e^%CF%80_%E2%88%92_%CF%80_%E2%89%88_20\|this Wikipedia talk page}}, [https://pastebin.com/VzqPG5Gk here], and in the update eventually made to the [https://mathworld.wolfram.com/AlmostInteger.html Mathworld website] (the original source for much of this article). [[Special:Contributions/172.71.250.8\|172.71.250.8]] 13:57, 22 April 2024 (UTC)
		+	:That there is some (quite complicated) derivation of e<sup>π</sup> − π ≈ 20 is neat, but that doesn't make it ''not a coincidence''. The fact that π ≈ 22/7 is also a coincidence anyway. [[Special:Contributions/162.158.74.118\|162.158.74.118]] 19:03, 22 November 2024 (UTC)

← Older revision		Revision as of 13:58, 22 April 2024
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	== Not a coincidence ==		== Not a coincidence ==

−	In the "Explanation" section, it says that "the title text pokes fun at ''another'' coincidence". This implies that what came before was a coincidence (without ever actually explicitly saying so). As already mentioned in the trivia section, this was indeed what was believed when the comic was published, but it is no longer true (an explanation for e<sup>π</sup> − π ≈ 20 was found in 2023). The text should be updated accordingly. Relevant discussion about this can be found on {{w\|Talk:Mathematical_coincidence#Explaining_e^%CF%80_%E2%88%92_%CF%80_%E2%89%88_20\|this Wikipedia talk page}}, [https://pastebin.com/VzqPG5Gk here], and in the update eventually made to the [https://mathworld.wolfram.com/AlmostInteger.html Mathworld website] (the original source for much of this article). [[Special:Contributions/172.71.250.8\|172.71.250.8]] 13:57, 22 April 2024 (UTC)	+	In the "Explanation" section, it says that "the title text pokes fun at ''another'' coincidence". This implies that what came before was a coincidence (without ever actually explicitly saying so). As already mentioned in the trivia section, this was indeed what was believed when the comic was published, but it is no longer true (an explanation for e<sup>π</sup> − π ≈ 20 was found in 2023; it is a simple consequence of π ≈ 22/7). The text should be updated accordingly. Relevant discussion about this can be found on {{w\|Talk:Mathematical_coincidence#Explaining_e^%CF%80_%E2%88%92_%CF%80_%E2%89%88_20\|this Wikipedia talk page}}, [https://pastebin.com/VzqPG5Gk here], and in the update eventually made to the [https://mathworld.wolfram.com/AlmostInteger.html Mathworld website] (the original source for much of this article). [[Special:Contributions/172.71.250.8\|172.71.250.8]] 13:57, 22 April 2024 (UTC)

← Older revision		Revision as of 13:57, 22 April 2024
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	The approximation in the title text(the first quantity) is an approximation provided by Ramanujan. [[User:Sarah the Pie(yes, the food)\|Sarah the Pie(yes, the food)]] ([[User talk:Sarah the Pie(yes, the food)\|talk]]) 21:09, 22 February 2022 (UTC)		The approximation in the title text(the first quantity) is an approximation provided by Ramanujan. [[User:Sarah the Pie(yes, the food)\|Sarah the Pie(yes, the food)]] ([[User talk:Sarah the Pie(yes, the food)\|talk]]) 21:09, 22 February 2022 (UTC)
		+
		+	== Not a coincidence ==
		+
		+	In the "Explanation" section, it says that "the title text pokes fun at ''another'' coincidence". This implies that what came before was a coincidence (without ever actually explicitly saying so). As already mentioned in the trivia section, this was indeed what was believed when the comic was published, but it is no longer true (an explanation for e<sup>π</sup> − π ≈ 20 was found in 2023). The text should be updated accordingly. Relevant discussion about this can be found on {{w\|Talk:Mathematical_coincidence#Explaining_e^%CF%80_%E2%88%92_%CF%80_%E2%89%88_20\|this Wikipedia talk page}}, [https://pastebin.com/VzqPG5Gk here], and in the update eventually made to the [https://mathworld.wolfram.com/AlmostInteger.html Mathworld website] (the original source for much of this article). [[Special:Contributions/172.71.250.8\|172.71.250.8]] 13:57, 22 April 2024 (UTC)

@@ Line 16: / Line 16: @@
 :approximate e^pi using slightly bigger numbers than e and pi (say e: 2.7183 and pi: 3.1416) and subtract a value that is slightly smaller than pi (say 3.1415). The result is less than 20 and a upper limit for e^pi - pi [[Special:Contributions/141.101.93.49|141.101.93.49]] 19:59, 22 August 2016 (UTC)
-the [title](https://myighack.com/) text was close; the real identity is e^(π - 2) = π [[Special:Contributions/173.245.52.165|173.245.52.165]] 05:39, 7 April 2021 (UTC)
+the title text was close; the real identity is e^(π - 2) = π [[Special:Contributions/173.245.52.165|173.245.52.165]] 05:39, 7 April 2021 (UTC)
 The approximation in the title text(the first quantity) is an approximation provided by Ramanujan. [[User:Sarah the Pie(yes, the food)|Sarah the Pie(yes, the food)]] ([[User talk:Sarah the Pie(yes, the food)|talk]]) 21:09, 22 February 2022 (UTC)

← Older revision		Revision as of 21:09, 22 February 2022
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	the [title](https://myighack.com/) text was close; the real identity is e^(π - 2) = π [[Special:Contributions/173.245.52.165\|173.245.52.165]] 05:39, 7 April 2021 (UTC)		the [title](https://myighack.com/) text was close; the real identity is e^(π - 2) = π [[Special:Contributions/173.245.52.165\|173.245.52.165]] 05:39, 7 April 2021 (UTC)
		+
		+	The approximation in the title text(the first quantity) is an approximation provided by Ramanujan. [[User:Sarah the Pie(yes, the food)\|Sarah the Pie(yes, the food)]] ([[User talk:Sarah the Pie(yes, the food)\|talk]]) 21:09, 22 February 2022 (UTC)

← Older revision		Revision as of 08:06, 23 September 2021
Line 16:		Line 16:
	:approximate e^pi using slightly bigger numbers than e and pi (say e: 2.7183 and pi: 3.1416) and subtract a value that is slightly smaller than pi (say 3.1415). The result is less than 20 and a upper limit for e^pi - pi [[Special:Contributions/141.101.93.49\|141.101.93.49]] 19:59, 22 August 2016 (UTC)		:approximate e^pi using slightly bigger numbers than e and pi (say e: 2.7183 and pi: 3.1416) and subtract a value that is slightly smaller than pi (say 3.1415). The result is less than 20 and a upper limit for e^pi - pi [[Special:Contributions/141.101.93.49\|141.101.93.49]] 19:59, 22 August 2016 (UTC)

−	the title text was close; the real identity is e^(π - 2) = π [[Special:Contributions/173.245.52.165\|173.245.52.165]] 05:39, 7 April 2021 (UTC)	+	the [title](https://myighack.com/) text was close; the real identity is e^(π - 2) = π [[Special:Contributions/173.245.52.165\|173.245.52.165]] 05:39, 7 April 2021 (UTC)

← Older revision		Revision as of 02:51, 17 September 2021
Line 1:		Line 1:
−	~~How~~ to ~~get free robux~~ in ~~roblox https~~://~~freerobuxtips~~.~~com first~~ time ~~i have no idea how to generator robux~~.	+	Asserting that the programmers' algorithms truncated to three decimal digits is an unsupported and unnecessary extrapolation. Most floating-point implementations use binary, not decimal, and 19.999099979 ''looks'' very much like a rounding error in binary floating-point that has accumulated over several operations. [[User:Daddy\|Daddy]] ([[User talk:Daddy\|talk]]) 12:39, 29 April 2013 (UTC)
		+	:Fixed. [[User:Xhfz\|Xhfz]] ([[User talk:Xhfz\|talk]]) 22:57, 16 August 2013 (UTC)
		+
		+	The "not good at math" might be too harsh, if they've (tried to) read the floating point spec. Depending on precision and rounding regime and order of operations, I could easily imagine the "equation" to be true ... and therefore a test that you were rounding "properly", even when it wasn't intuitive.
		+
		+	The third bullet-point above needs changing... (9^2+(19^2/22))=97.4090909091 which is close to pi to the fourth power, so it should be (as noted in the text) (9^2+(19^2/22))^1/4 [[User:Squirreltape\|Squirreltape]] ([[User talk:Squirreltape\|talk]]) 19:27, 25 February 2014 (UTC)
		+	:Actually, in-case you didn't notice, it says "∜(9² + 19²/22)", not just the sum on its own. I checked the sum on my calculator, and it is equal to what the page is saying. "∜(9² + 19²/22)" means "4th root of (9^2+19^2/22)" (What the title text is saying), or on Windows Calculator, "(9^2+19^2/22) yroot(4)" (Basically what the sum is saying). So, the 3rd bullet point is correct. --[[User:Katavschi\|Katavschi]] ([[User talk:Katavschi\|talk]]) 22:48, 23 April 2014 (UTC)
		+
		+	It says above that (π + 20)^i ≈ -i, but this should be (π + 20)^i ≈ -1. Proof: π + 20 ≈ e^π => (π + 20)^i ≈ (e^π)^i = e^(πi) = -1.
		+
		+	The ACM competitions are famous for being under tight time pressure. Making your own team waste time would absolutely get you kicked out (and make enemies) [[User:Danshoham\|Mountain Hikes]] ([[User talk:Danshoham\|talk]]) 04:40, 23 September 2015 (UTC)
		+
		+	;"If they thought about the mathematics"
		+
		+	hm, are you saying it is obvious that e^ pi - pi is not 20? How would you know without approximating it? The sum of two irrationals is not necessarily irrational. [[Special:Contributions/162.158.34.194\|162.158.34.194]] 01:58, 26 October 2015 (UTC)
		+	:approximate e^pi using slightly bigger numbers than e and pi (say e: 2.7183 and pi: 3.1416) and subtract a value that is slightly smaller than pi (say 3.1415). The result is less than 20 and a upper limit for e^pi - pi [[Special:Contributions/141.101.93.49\|141.101.93.49]] 19:59, 22 August 2016 (UTC)
		+
		+	the title text was close; the real identity is e^(π - 2) = π [[Special:Contributions/173.245.52.165\|173.245.52.165]] 05:39, 7 April 2021 (UTC)