Talk:128: dPain over dt - Revision history

ChristmasGospel: Recent changes bug

2024-11-29T20:06:01Z

Recent changes bug

ChristmasGospel at 20:04, 29 November 2024

2024-11-29T20:04:20Z

ChristmasGospel: Lᴬ‬TᴇX Bug

2024-11-29T20:01:00Z

Lᴬ‬TᴇX Bug

Solomon: reply about dimensional analysis

2023-05-24T20:30:11Z

reply about dimensional analysis

162.158.165.88: Added comment

2020-09-18T00:09:18Z

Added comment

IdahoEv: /* Explanation */

2015-06-13T19:23:48Z

‎Explanation

Chtz at 08:40, 23 July 2013

2013-07-23T08:40:50Z

Dgbrt: /* Explanation */

2013-07-22T18:47:37Z

‎Explanation

Chtz at 15:47, 22 July 2013

2013-07-22T15:47:55Z

Chtz: (hopefully) correct solution to the ODE

2013-07-22T14:59:58Z

(hopefully) correct solution to the ODE

← Older revision		Revision as of 20:06, 29 November 2024
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	:Seems like my edit didn't show up in Recent Changes. [[User:ChristmasGospel\|ChristmasGospel]] ([[User talk:ChristmasGospel\|talk]]) 20:04, 29 November 2024 (UTC)		:Seems like my edit didn't show up in Recent Changes. [[User:ChristmasGospel\|ChristmasGospel]] ([[User talk:ChristmasGospel\|talk]]) 20:04, 29 November 2024 (UTC)
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		+	::The second edit showed up but the first one didn't. [[User:ChristmasGospel\|ChristmasGospel]] ([[User talk:ChristmasGospel\|talk]]) 20:06, 29 November 2024 (UTC)

← Older revision		Revision as of 20:04, 29 November 2024
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	The "\text" keyword in Lᴬ‬TᴇX doesn't seem to be working when I tried to use it. [[User:ChristmasGospel\|ChristmasGospel]] ([[User talk:ChristmasGospel\|talk]]) 20:01, 29 November 2024 (UTC)		The "\text" keyword in Lᴬ‬TᴇX doesn't seem to be working when I tried to use it. [[User:ChristmasGospel\|ChristmasGospel]] ([[User talk:ChristmasGospel\|talk]]) 20:01, 29 November 2024 (UTC)
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		+	:Seems like my edit didn't show up in Recent Changes. [[User:ChristmasGospel\|ChristmasGospel]] ([[User talk:ChristmasGospel\|talk]]) 20:04, 29 November 2024 (UTC)

← Older revision		Revision as of 20:01, 29 November 2024
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	This is a Desmos of the pain equation: https://www.desmos.com/calculator/req3jnplsc. Can someone check if my equation is a solution of the equation? When I change d, it seems to be favourable for d to be large. [[Special:Contributions/162.158.165.88\|162.158.165.88]] 00:09, 18 September 2020 (UTC)		This is a Desmos of the pain equation: https://www.desmos.com/calculator/req3jnplsc. Can someone check if my equation is a solution of the equation? When I change d, it seems to be favourable for d to be large. [[Special:Contributions/162.158.165.88\|162.158.165.88]] 00:09, 18 September 2020 (UTC)
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		+	The "\text" keyword in Lᴬ‬TᴇX doesn't seem to be working when I tried to use it. [[User:ChristmasGospel\|ChristmasGospel]] ([[User talk:ChristmasGospel\|talk]]) 20:01, 29 November 2024 (UTC)

← Older revision		Revision as of 20:30, 24 May 2023
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	:Clearly you've not been through this kind of loss. [[User:IdahoEv\|IdahoEv]] ([[User talk:IdahoEv\|talk]]) 19:23, 13 June 2015 (UTC)		:Clearly you've not been through this kind of loss. [[User:IdahoEv\|IdahoEv]] ([[User talk:IdahoEv\|talk]]) 19:23, 13 June 2015 (UTC)
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		+	:Are you assuming k1 is dimensionless? AFAICT, k1 is frequency, k2 and d are time, and 'How much she's still in my life' is pain per time.

	In addition, the explanation that pain will eventally reach zero after 'how much she's still in my life' reaches zero (either through drifiting apart or death?) 'after a number of years' is contradicted by the text of the comic (...we can be friends). Perhaps the formulation is incorrect?		In addition, the explanation that pain will eventally reach zero after 'how much she's still in my life' reaches zero (either through drifiting apart or death?) 'after a number of years' is contradicted by the text of the comic (...we can be friends). Perhaps the formulation is incorrect?

← Older revision		Revision as of 00:09, 18 September 2020
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	:We still have to figure out about what REAL equation is in the background. It's not relativity, entropy, or thermodynamics. But the picture looks familiar to me, my poor old brain just do not remember.--[[User:Dgbrt\|Dgbrt]] ([[User talk:Dgbrt\|talk]]) 18:47, 22 July 2013 (UTC)		:We still have to figure out about what REAL equation is in the background. It's not relativity, entropy, or thermodynamics. But the picture looks familiar to me, my poor old brain just do not remember.--[[User:Dgbrt\|Dgbrt]] ([[User talk:Dgbrt\|talk]]) 18:47, 22 July 2013 (UTC)
	::The first factor alone would describe a shifted {{w\|exponential decay}}. The second factor is a scaled and shifted {{w\|sigmoid function}}, more precisely the hyperbolic tangent shifted to have its inflection at ''(k<sub>2</sub>,0.5)'' and vertically scaled by ''d''. I'm not sure if that helps anyone, though ... --[[User:Chtz\|Chtz]] ([[User talk:Chtz\|talk]]) 08:40, 23 July 2013 (UTC)		::The first factor alone would describe a shifted {{w\|exponential decay}}. The second factor is a scaled and shifted {{w\|sigmoid function}}, more precisely the hyperbolic tangent shifted to have its inflection at ''(k<sub>2</sub>,0.5)'' and vertically scaled by ''d''. I'm not sure if that helps anyone, though ... --[[User:Chtz\|Chtz]] ([[User talk:Chtz\|talk]]) 08:40, 23 July 2013 (UTC)
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		+	This is a Desmos of the pain equation: https://www.desmos.com/calculator/req3jnplsc. Can someone check if my equation is a solution of the equation? When I change d, it seems to be favourable for d to be large. [[Special:Contributions/162.158.165.88\|162.158.165.88]] 00:09, 18 September 2020 (UTC)

← Older revision		Revision as of 19:23, 13 June 2015
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	Applying dimensional analysis suggests the 'How much she's still in my life' has the same units as 'Pain'. This makes no sense.		Applying dimensional analysis suggests the 'How much she's still in my life' has the same units as 'Pain'. This makes no sense.
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		+	:Clearly you've not been through this kind of loss. [[User:IdahoEv\|IdahoEv]] ([[User talk:IdahoEv\|talk]]) 19:23, 13 June 2015 (UTC)

	In addition, the explanation that pain will eventally reach zero after 'how much she's still in my life' reaches zero (either through drifiting apart or death?) 'after a number of years' is contradicted by the text of the comic (...we can be friends). Perhaps the formulation is incorrect?		In addition, the explanation that pain will eventally reach zero after 'how much she's still in my life' reaches zero (either through drifiting apart or death?) 'after a number of years' is contradicted by the text of the comic (...we can be friends). Perhaps the formulation is incorrect?

@@ Line 28: / Line 28: @@
 I just added the (IMO correct) solution to the ODE and marked the rest as incomplete/incorrect.
 First of all, we can't say that less pain is "better". But assuming that, it's not enough that ''dPain/dt'' approaches 0 fast, but that P(t) itself gets smaller or at least does not increase unbounded. --[[User:Chtz|Chtz]] ([[User talk:Chtz|talk]]) 15:47, 22 July 2013 (UTC)
+:We still have to figure out about what REAL equation is in the background. It's not relativity, entropy, or thermodynamics. But the picture looks familiar to me, my poor old brain just do not remember.--[[User:Dgbrt|Dgbrt]] ([[User talk:Dgbrt|talk]]) 18:47, 22 July 2013 (UTC)
+::The first factor alone would describe a shifted {{w|exponential decay}}. The second factor is a scaled and shifted {{w|sigmoid function}}, more precisely the hyperbolic tangent shifted to have its inflection at ''(k<sub>2</sub>,0.5)'' and vertically scaled by ''d''. I'm not sure if that helps anyone, though ... --[[User:Chtz|Chtz]] ([[User talk:Chtz|talk]]) 08:40, 23 July 2013 (UTC)

← Older revision		Revision as of 18:47, 22 July 2013
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	I just added the (IMO correct) solution to the ODE and marked the rest as incomplete/incorrect.		I just added the (IMO correct) solution to the ODE and marked the rest as incomplete/incorrect.
	First of all, we can't say that less pain is "better". But assuming that, it's not enough that ''dPain/dt'' approaches 0 fast, but that P(t) itself gets smaller or at least does not increase unbounded. --[[User:Chtz\|Chtz]] ([[User talk:Chtz\|talk]]) 15:47, 22 July 2013 (UTC)		First of all, we can't say that less pain is "better". But assuming that, it's not enough that ''dPain/dt'' approaches 0 fast, but that P(t) itself gets smaller or at least does not increase unbounded. --[[User:Chtz\|Chtz]] ([[User talk:Chtz\|talk]]) 15:47, 22 July 2013 (UTC)
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		+	We still have to figure out about what REAL equation is in the background. It's not relativity, entropy, or thermodynamics. But the picture looks familiar to me, my poor old brain just do not remember.--[[User:Dgbrt\|Dgbrt]] ([[User talk:Dgbrt\|talk]]) 18:47, 22 July 2013 (UTC)

← Older revision		Revision as of 15:47, 22 July 2013
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	P(t) = c_1(e^(k2/d)+e^(t/d))^(-dk1)+G/k1.		P(t) = c_1(e^(k2/d)+e^(t/d))^(-dk1)+G/k1.
	:--[[User:Chtz\|Chtz]] ([[User talk:Chtz\|talk]]) 14:59, 22 July 2013 (UTC)		:--[[User:Chtz\|Chtz]] ([[User talk:Chtz\|talk]]) 14:59, 22 July 2013 (UTC)
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		+
		+	I just added the (IMO correct) solution to the ODE and marked the rest as incomplete/incorrect.
		+	First of all, we can't say that less pain is "better". But assuming that, it's not enough that ''dPain/dt'' approaches 0 fast, but that P(t) itself gets smaller or at least does not increase unbounded. --[[User:Chtz\|Chtz]] ([[User talk:Chtz\|talk]]) 15:47, 22 July 2013 (UTC)

← Older revision		Revision as of 14:59, 22 July 2013
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	--[[User:HandyAndy\|HandyAndy]] ([[User talk:HandyAndy\|talk]]) 19:36, 20 May 2013 (UTC) HandyAndy 20:35 BST, 2013-05-20 (ref ISO 1806 ;-))		--[[User:HandyAndy\|HandyAndy]] ([[User talk:HandyAndy\|talk]]) 19:36, 20 May 2013 (UTC) HandyAndy 20:35 BST, 2013-05-20 (ref ISO 1806 ;-))
		+	: 'How much she's still in my life' should have dimension Pain/time (the same as dPain/dt) and k<sub>1</sub> has dimension 1/time. We don't know for sure, if 'How much she's still in my life' is a constant or a function, but if it is a constant, the solution of the ODE is as follows (Smartin: You forgot a pair of parentheses) [http://www.wolframalpha.com/input/?i=dP%2Fdt+%3D+%28-k1P%2BG%29%281%2F%281%2Bexp%28-%28t-k2%29%2Fd%29%29%29]:
		+	P(t) = c_1(e^(k2/d)+e^(t/d))^(-dk1)+G/k1.
		+	:--[[User:Chtz\|Chtz]] ([[User talk:Chtz\|talk]]) 14:59, 22 July 2013 (UTC)