Talk:2295: Garbage Math - Revision history

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

2021-05-09T11:14:07Z

Added a comment

162.158.193.144 at 13:01, 21 May 2020

2020-05-21T13:01:29Z

162.158.34.222: fix indent

2020-04-23T23:34:53Z

fix indent

162.158.34.222 at 23:33, 23 April 2020

2020-04-23T23:33:48Z

172.69.54.141 at 07:46, 23 April 2020

2020-04-23T07:46:07Z

172.69.22.152: /* Math and Error bars */ clarify

2020-04-22T04:22:19Z

‎Math and Error bars: clarify

172.69.22.152: explain

2020-04-22T04:20:30Z

explain

172.69.22.152: /* Math and Error bars */ ]

2020-04-22T04:17:20Z

‎Math and Error bars: ]

172.69.22.152: ?

2020-04-22T04:16:55Z

162.158.255.64: question

2020-04-20T07:48:01Z

question

← Older revision		Revision as of 11:14, 9 May 2021
Line 56:		Line 56:

	Are the results truly correct? Wouldn't the final sum and product standard deviations be √2 10^6 ?		Are the results truly correct? Wouldn't the final sum and product standard deviations be √2 10^6 ?
		+
		+	This comic makes me think about the "Garbage In, Garbage Out" rule of programming as well. Probably unrelated, but it just came to mind. [[User:Sarah the Pie(yes, the food)\|Sarah the Pie(yes, the food)]] ([[User talk:Sarah the Pie(yes, the food)\|talk]]) 11:14, 9 May 2021 (UTC)

← Older revision		Revision as of 13:01, 21 May 2020
Line 54:		Line 54:
	Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈"] correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? As is illustrated by catastrophic cancellation, an approximation may not be "almost" correct. But my question is, aren't those relations to the resulting standard deviation exact instead of approximate? [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)		Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈"] correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? As is illustrated by catastrophic cancellation, an approximation may not be "almost" correct. But my question is, aren't those relations to the resulting standard deviation exact instead of approximate? [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)
	:The formulas are the first approximation for small sigma. They are exact for a linear combination of the random variables in the term. With rising sigma, higher order terms can get relevant. Sebastian --[[Special:Contributions/172.69.54.141\|172.69.54.141]] 07:46, 23 April 2020 (UTC)		:The formulas are the first approximation for small sigma. They are exact for a linear combination of the random variables in the term. With rising sigma, higher order terms can get relevant. Sebastian --[[Special:Contributions/172.69.54.141\|172.69.54.141]] 07:46, 23 April 2020 (UTC)
		+
		+	Are the results truly correct? Wouldn't the final sum and product standard deviations be √2 10^6 ?

@@ Line 19: / Line 19: @@
 --[[Special:Contributions/141.101.69.153|141.101.69.153]] 21:53, 19 April 2020 (UTC)
 :::::::Don't you mean the dress is blue?
-I think this is more SARS-CoV-2 related than exa-exa (or Conway), but the desire is for there to have been 19 in a row, so there were 19 in a row. No doubt the next strip will be seen as the first in a second run of 19 [[Special:Contributions/162.158.34.222|162.158.34.222]] 23:33, 23 April 2020 (UTC)
+:::::::I think this is more SARS-CoV-2 related than exa-exa (or Conway), but the desire is for there to have been 19 in a row, so there were 19 in a row. No doubt the next strip will be seen as the first in a second run of 19 [[Special:Contributions/162.158.34.222|162.158.34.222]] 23:33, 23 April 2020 (UTC)

← Older revision		Revision as of 23:33, 23 April 2020
Line 18:		Line 18:
	::::::I challenge you to find a comic in the archive that can't be twisted to say it's related to COVID-19. At this point people are finding connections in the same way that people analyze "the curtain is blue". [[Special:Contributions/108.162.245.26\|108.162.245.26]] 22:06, 19 April 2020 (UTC)		::::::I challenge you to find a comic in the archive that can't be twisted to say it's related to COVID-19. At this point people are finding connections in the same way that people analyze "the curtain is blue". [[Special:Contributions/108.162.245.26\|108.162.245.26]] 22:06, 19 April 2020 (UTC)
	--[[Special:Contributions/141.101.69.153\|141.101.69.153]] 21:53, 19 April 2020 (UTC)		--[[Special:Contributions/141.101.69.153\|141.101.69.153]] 21:53, 19 April 2020 (UTC)
		+	:::::::Don't you mean the dress is blue?
		+	I think this is more SARS-CoV-2 related than exa-exa (or Conway), but the desire is for there to have been 19 in a row, so there were 19 in a row. No doubt the next strip will be seen as the first in a second run of 19 [[Special:Contributions/162.158.34.222\|162.158.34.222]] 23:33, 23 April 2020 (UTC)

← Older revision		Revision as of 07:46, 23 April 2020
Line 51:		Line 51:

	Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈"] correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? As is illustrated by catastrophic cancellation, an approximation may not be "almost" correct. But my question is, aren't those relations to the resulting standard deviation exact instead of approximate? [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)		Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈"] correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? As is illustrated by catastrophic cancellation, an approximation may not be "almost" correct. But my question is, aren't those relations to the resulting standard deviation exact instead of approximate? [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)
		+	:The formulas are the first approximation for small sigma. They are exact for a linear combination of the random variables in the term. With rising sigma, higher order terms can get relevant. Sebastian --[[Special:Contributions/172.69.54.141\|172.69.54.141]] 07:46, 23 April 2020 (UTC)

← Older revision		Revision as of 04:22, 22 April 2020
Line 50:		Line 50:
	Could someone please double check that the given uncertainty formula for "Precise number / ( Garbage – Garbage )" at the second to the bottom is correct? I'm not sure it properly accommodates the uncertainty of the numerator. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 07:48, 20 April 2020 (UTC)		Could someone please double check that the given uncertainty formula for "Precise number / ( Garbage – Garbage )" at the second to the bottom is correct? I'm not sure it properly accommodates the uncertainty of the numerator. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 07:48, 20 April 2020 (UTC)

−	Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈"] correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? As is illustrated by catastrophic cancellation, an approximation may not be "almost" correct. [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)	+	Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈"] correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? As is illustrated by catastrophic cancellation, an approximation may not be "almost" correct. But my question is, aren't those relations to the resulting standard deviation exact instead of approximate? [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)

← Older revision		Revision as of 04:20, 22 April 2020
Line 50:		Line 50:
	Could someone please double check that the given uncertainty formula for "Precise number / ( Garbage – Garbage )" at the second to the bottom is correct? I'm not sure it properly accommodates the uncertainty of the numerator. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 07:48, 20 April 2020 (UTC)		Could someone please double check that the given uncertainty formula for "Precise number / ( Garbage – Garbage )" at the second to the bottom is correct? I'm not sure it properly accommodates the uncertainty of the numerator. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 07:48, 20 April 2020 (UTC)

−	Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈"] correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)	+	Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈"] correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? As is illustrated by catastrophic cancellation, an approximation may not be "almost" correct. [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)

← Older revision		Revision as of 04:17, 22 April 2020
Line 50:		Line 50:
	Could someone please double check that the given uncertainty formula for "Precise number / ( Garbage – Garbage )" at the second to the bottom is correct? I'm not sure it properly accommodates the uncertainty of the numerator. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 07:48, 20 April 2020 (UTC)		Could someone please double check that the given uncertainty formula for "Precise number / ( Garbage – Garbage )" at the second to the bottom is correct? I'm not sure it properly accommodates the uncertainty of the numerator. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 07:48, 20 April 2020 (UTC)

−	Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈" correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)	+	Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈"] correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)

← Older revision		Revision as of 04:16, 22 April 2020
Line 49:		Line 49:

	Could someone please double check that the given uncertainty formula for "Precise number / ( Garbage – Garbage )" at the second to the bottom is correct? I'm not sure it properly accommodates the uncertainty of the numerator. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 07:48, 20 April 2020 (UTC)		Could someone please double check that the given uncertainty formula for "Precise number / ( Garbage – Garbage )" at the second to the bottom is correct? I'm not sure it properly accommodates the uncertainty of the numerator. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 07:48, 20 April 2020 (UTC)
		+
		+	Are the [https://www.explainxkcd.com/wiki/index.php?title=2295:_Garbage_Math&diff=191031&oldid=191030 changes from "=" to "≈" correct? Either way, isn't the proper symbol for the relation "≅" ("approximately equal to") instead of "≈" ("almost equal to")? [[Special:Contributions/172.69.22.152\|172.69.22.152]] 04:16, 22 April 2020 (UTC)

← Older revision		Revision as of 07:48, 20 April 2020
Line 47:		Line 47:
	:The table of formulae for the propagation of variance σ addresses that aspect. You can't know the accuracy of a result without knowing the precision of its calculation, and while reducing precision always reduces accuracy, it's not the other way around. But precision is inherent in the representation and operations, while accuracy is secondary when you aren't discussing the initial measurements of the inputs, so I think the terminology is correct.		:The table of formulae for the propagation of variance σ addresses that aspect. You can't know the accuracy of a result without knowing the precision of its calculation, and while reducing precision always reduces accuracy, it's not the other way around. But precision is inherent in the representation and operations, while accuracy is secondary when you aren't discussing the initial measurements of the inputs, so I think the terminology is correct.
	:By the way, shout out to [https://www.explainxkcd.com/wiki/index.php?title=2295%3A_Garbage_Math&type=revision&diff=190882&oldid=190870 172.68.51.124] for filling out all but one of those table entries. I wonder where they looked them up. I'm guessing a ''CRC Handbook'' left over from High School chemistry or some such? Anyway, good job! This really looks classy now that it's been cleaned up a bit. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 06:45, 20 April 2020 (UTC)		:By the way, shout out to [https://www.explainxkcd.com/wiki/index.php?title=2295%3A_Garbage_Math&type=revision&diff=190882&oldid=190870 172.68.51.124] for filling out all but one of those table entries. I wonder where they looked them up. I'm guessing a ''CRC Handbook'' left over from High School chemistry or some such? Anyway, good job! This really looks classy now that it's been cleaned up a bit. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 06:45, 20 April 2020 (UTC)
		+
		+	Could someone please double check that the given uncertainty formula for "Precise number / ( Garbage – Garbage )" at the second to the bottom is correct? I'm not sure it properly accommodates the uncertainty of the numerator. [[Special:Contributions/162.158.255.64\|162.158.255.64]] 07:48, 20 April 2020 (UTC)