2207: Math Work - Revision history

172.69.33.163: Complete from intervening improvements

2022-07-29T22:46:25Z

Complete from intervening improvements

172.69.33.163: /* Explanation */ replace sentence from intervening improvements

2022-07-29T22:44:22Z

‎Explanation: replace sentence from intervening improvements

172.69.33.229: /* Transcript */ replace period

2022-07-29T22:37:42Z

‎Transcript: replace period

172.70.211.134: /* Explanation */ less vertical space

2022-07-29T22:28:54Z

‎Explanation: less vertical space

172.70.211.134: Subsectioned proposal

2022-07-29T22:28:02Z

Subsectioned proposal

162.158.159.133: Not good enough. It was a stable and (by group consensus) fully-explained version. You reverted in the "Incomplete" at the same time as adding what you thought was missing. I would have no objection to re-adding if you actually didn't do it thoughtlessly.

2022-07-28T16:51:52Z

Not good enough. It was a stable and (by group consensus) fully-explained version. You reverted in the "Incomplete" at the same time as adding what you thought was missing. I would have no objection to re-adding if you actually didn't do it thoughtlessly.

172.70.211.88: I object to reduction of information

2022-07-28T16:34:35Z

I object to reduction of information

172.71.94.187: Undo revision 291019 by 172.70.211.88 (talk) Though hard pressed to say what you restored was 'bad', it goes back to when there was an Incomplete tag. The version reverted from looks OK!

2022-07-28T16:31:37Z

Undo revision 291019 by 172.70.211.88 (talk) Though hard pressed to say what you restored was 'bad', it goes back to when there was an Incomplete tag. The version reverted from looks OK!

172.70.211.88: revert to last good version

2022-07-28T15:49:52Z

revert to last good version

Vandalbane: Reverted vandalism with User:CRLF/OneClickUndo.js

2022-05-26T19:55:49Z

Reverted vandalism with User:CRLF/OneClickUndo.js

Show changes

@@ Line 8: / Line 8: @@
 ==Explanation==
 [[White Hat]] is observing a {{w|physicist}}, [[Cueball]], who is staring at some (in the comic unreadable; see [https://imgs.xkcd.com/comics/math_work_2x.png high resolution version]) equations and diagrams on a {{w|chalkboard}}. White Hat is neither a physicist nor a {{w|mathematician}}, and seems to glorify those professions. He wishes he understood Cueball's work and "the beauty on display here."  People who profess a love for mathematics often cite the beauty they see in pure math, how things work out so perfectly, as the reason they love math.
@@ Line 14: / Line 13: @@
 The joke is that Cueball as a physicist is doing something instead quite simple and relatable: Avoiding hard work. Solving many kinds of constraints for two unknowns isn't necessarily difficult, but can be depending on the details. Cueball clearly thinks a solution is possible but would rather find an easier route. The same could be said about the field of mathematics in general: A proof is beautiful to a mathematician when it provides {{w|aesthetic}} pleasure, usually associated with being easy to understand. A proof is elegant when it is both easy to understand and correct, and mathematical solutions are profound when useful. Record numbers of mathematics interest groups and their forums in which such work is done exist today, from academic journals predating the use of electricity to a plethora of internet math and science fora such as {{w|Wikipedia:Reference_desk/Mathematics|Wikipedia Reference Desks}} and Reddit's [https://reddit.com/r/theydidthemath /r/theydidthemath] forum, which fueled a [https://i.imgur.com/l1r1VEE.png resurgence of the phrase "they did the math" as a search term in 2014,] because it was included in the sidebar of the [https://reddit.com/r/xkcd /r/xkcd] subreddit, where it remains five years hence, between "Linguistics" and "Ask Historians," suggesting that the term was popularized by Xkcd fans after [https://books.google.com/ngrams/graph?content=they+did+the+math&case_insensitive=on&year_start=1980&year_end=2008&corpus=15&smoothing=3&share=&direct_url=t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0#t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0 its initial appearance c. 1988.] The proliferation of mathematics fora is certainly also due to the quickly increasing overall level of education and rapidly growing numbers of internet users.
-The title text continues Cueball's thought process, with the possibility of using an automatic equation solver to find the unknowns. Equation solvers are not often considered beautiful ways to address purely mathematical problems, even if they are often the most efficient and in that sense elegant solutions to applied problems in engineering. Using a formal solver with symbolic, numeric, or both methods requires making sure that the constraints (e.g. equations) are entered correctly, with parentheses balanced in their correct locations for the solution to succeed. This might be a further joke about Cueball's laziness, suggesting that he doesn't even have the energy to check whether his parentheses are placed correctly. At the same time it might show how far away he is from finding the real solution. While the {{w|mathematical beauty|beauty of mathematics}} and pure physics may not be associated with automatic solvers in spreadsheets, general optimization methods are considered elegant in applied physics and engineering, with [http://entsphere.com/pub/pdf/1957%20Jaynes,%20ShannonMaxEntBoltzmann.pdf Jaynes (1957)] cited more than 12,000 times on Google Scholar, including by [https://www.researchgate.net/publication/234147180_Maximum_Entropy_Image_Restoration_in_Astronomy a paper cited] by the [https://arxiv.org/abs/1711.01286 first black hole image astronomers] for example.
+The title text continues Cueball's thought process, with the possibility of using an automatic equation solver to find the unknowns. Equation solvers are not often considered beautiful ways to address purely mathematical problems, even if they are often the most efficient and in that sense elegant solutions to applied problems in engineering. Using a formal solver with symbolic, numeric, or both methods requires making sure that the constraints (e.g. equations) are entered correctly, with parentheses balanced in their correct locations for the solution to succeed. This might be a further joke about Cueball's laziness, suggesting that he doesn't even have the energy to check whether his parentheses are placed correctly. At the same time it might show how far away he is from finding the real solution: Any missing, misplaced or spurious parenthesis will most likely immediately invalidate the whole equation system. While the {{w|mathematical beauty|beauty of mathematics}} and pure physics may not be associated with automatic solvers in spreadsheets, general optimization methods are considered elegant in applied physics and engineering, with [http://entsphere.com/pub/pdf/1957%20Jaynes,%20ShannonMaxEntBoltzmann.pdf Jaynes (1957)] cited more than 12,000 times on Google Scholar, including by [https://www.researchgate.net/publication/234147180_Maximum_Entropy_Image_Restoration_in_Astronomy a paper cited] by the [https://arxiv.org/abs/1711.01286 first black hole image astronomers] for example.
 ===Examples of bivariate optimization===

@@ Line 14: / Line 14: @@
 The joke is that Cueball as a physicist is doing something instead quite simple and relatable: Avoiding hard work. Solving many kinds of constraints for two unknowns isn't necessarily difficult, but can be depending on the details. Cueball clearly thinks a solution is possible but would rather find an easier route. The same could be said about the field of mathematics in general: A proof is beautiful to a mathematician when it provides {{w|aesthetic}} pleasure, usually associated with being easy to understand. A proof is elegant when it is both easy to understand and correct, and mathematical solutions are profound when useful. Record numbers of mathematics interest groups and their forums in which such work is done exist today, from academic journals predating the use of electricity to a plethora of internet math and science fora such as {{w|Wikipedia:Reference_desk/Mathematics|Wikipedia Reference Desks}} and Reddit's [https://reddit.com/r/theydidthemath /r/theydidthemath] forum, which fueled a [https://i.imgur.com/l1r1VEE.png resurgence of the phrase "they did the math" as a search term in 2014,] because it was included in the sidebar of the [https://reddit.com/r/xkcd /r/xkcd] subreddit, where it remains five years hence, between "Linguistics" and "Ask Historians," suggesting that the term was popularized by Xkcd fans after [https://books.google.com/ngrams/graph?content=they+did+the+math&case_insensitive=on&year_start=1980&year_end=2008&corpus=15&smoothing=3&share=&direct_url=t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0#t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0 its initial appearance c. 1988.] The proliferation of mathematics fora is certainly also due to the quickly increasing overall level of education and rapidly growing numbers of internet users.
-The title text continues Cueball's thought process, with the possibility of using an automatic equation solver to find the unknowns. Equation solvers are not often considered beautiful ways to address purely mathematical problems, even if they are often the most efficient and in that sense elegant solutions to applied problems in engineering. Using a formal solver with symbolic, numeric, or both methods requires making sure that the constraints (e.g. equations) are entered correctly, with parentheses balanced in their correct locations for the solution to succeed. While the {{w|mathematical beauty|beauty of mathematics}} and pure physics may not be associated with automatic solvers in spreadsheets, general optimization methods are considered elegant in applied physics and engineering, with [http://entsphere.com/pub/pdf/1957%20Jaynes,%20ShannonMaxEntBoltzmann.pdf Jaynes (1957)] cited more than 12,000 times on Google Scholar, including by [https://www.researchgate.net/publication/234147180_Maximum_Entropy_Image_Restoration_in_Astronomy a paper cited] by the [https://arxiv.org/abs/1711.01286 first black hole image astronomers] for example.
+The title text continues Cueball's thought process, with the possibility of using an automatic equation solver to find the unknowns. Equation solvers are not often considered beautiful ways to address purely mathematical problems, even if they are often the most efficient and in that sense elegant solutions to applied problems in engineering. Using a formal solver with symbolic, numeric, or both methods requires making sure that the constraints (e.g. equations) are entered correctly, with parentheses balanced in their correct locations for the solution to succeed. This might be a further joke about Cueball's laziness, suggesting that he doesn't even have the energy to check whether his parentheses are placed correctly. At the same time it might show how far away he is from finding the real solution. While the {{w|mathematical beauty|beauty of mathematics}} and pure physics may not be associated with automatic solvers in spreadsheets, general optimization methods are considered elegant in applied physics and engineering, with [http://entsphere.com/pub/pdf/1957%20Jaynes,%20ShannonMaxEntBoltzmann.pdf Jaynes (1957)] cited more than 12,000 times on Google Scholar, including by [https://www.researchgate.net/publication/234147180_Maximum_Entropy_Image_Restoration_in_Astronomy a paper cited] by the [https://arxiv.org/abs/1711.01286 first black hole image astronomers] for example.
 ===Examples of bivariate optimization===

@@ Line 25: / Line 25: @@
 ==Transcript==
-:[White Hat is watching Cueball from a couple of meters away. Cueball is contemplating the formulas and diagrams that fills the blackboard he stands in front of. Cueball holds a chalk in his hand. None of the content on the blackboard is readable, but there is a diagram in the shape of a circle and a another pie shaped diagram. Both are thinking with large thought bubbles above their heads, with small bubbles connecting them and the larger bubble]
+:[White Hat is watching Cueball from a couple of meters away. Cueball is contemplating the formulas and diagrams that fills the blackboard he stands in front of. Cueball holds a chalk in his hand. None of the content on the blackboard is readable, but there is a diagram in the shape of a circle and a another pie shaped diagram. Both are thinking with large thought bubbles above their heads, with small bubbles connecting them and the larger bubble.]
 :White Hat (thinking): Amazing watching a physicist at work, exploring universes in a symphony of numbers.
 :White Hat (thinking): If only I had studied math, I could appreciate the beauty on display here.

← Older revision		Revision as of 22:28, 29 July 2022
Line 13:		Line 13:

	The joke is that Cueball as a physicist is doing something instead quite simple and relatable: Avoiding hard work. Solving many kinds of constraints for two unknowns isn't necessarily difficult, but can be depending on the details. Cueball clearly thinks a solution is possible but would rather find an easier route. The same could be said about the field of mathematics in general: A proof is beautiful to a mathematician when it provides {{w\|aesthetic}} pleasure, usually associated with being easy to understand. A proof is elegant when it is both easy to understand and correct, and mathematical solutions are profound when useful. Record numbers of mathematics interest groups and their forums in which such work is done exist today, from academic journals predating the use of electricity to a plethora of internet math and science fora such as {{w\|Wikipedia:Reference_desk/Mathematics\|Wikipedia Reference Desks}} and Reddit's [https://reddit.com/r/theydidthemath /r/theydidthemath] forum, which fueled a [https://i.imgur.com/l1r1VEE.png resurgence of the phrase "they did the math" as a search term in 2014,] because it was included in the sidebar of the [https://reddit.com/r/xkcd /r/xkcd] subreddit, where it remains five years hence, between "Linguistics" and "Ask Historians," suggesting that the term was popularized by Xkcd fans after [https://books.google.com/ngrams/graph?content=they+did+the+math&case_insensitive=on&year_start=1980&year_end=2008&corpus=15&smoothing=3&share=&direct_url=t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0#t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0 its initial appearance c. 1988.] The proliferation of mathematics fora is certainly also due to the quickly increasing overall level of education and rapidly growing numbers of internet users.		The joke is that Cueball as a physicist is doing something instead quite simple and relatable: Avoiding hard work. Solving many kinds of constraints for two unknowns isn't necessarily difficult, but can be depending on the details. Cueball clearly thinks a solution is possible but would rather find an easier route. The same could be said about the field of mathematics in general: A proof is beautiful to a mathematician when it provides {{w\|aesthetic}} pleasure, usually associated with being easy to understand. A proof is elegant when it is both easy to understand and correct, and mathematical solutions are profound when useful. Record numbers of mathematics interest groups and their forums in which such work is done exist today, from academic journals predating the use of electricity to a plethora of internet math and science fora such as {{w\|Wikipedia:Reference_desk/Mathematics\|Wikipedia Reference Desks}} and Reddit's [https://reddit.com/r/theydidthemath /r/theydidthemath] forum, which fueled a [https://i.imgur.com/l1r1VEE.png resurgence of the phrase "they did the math" as a search term in 2014,] because it was included in the sidebar of the [https://reddit.com/r/xkcd /r/xkcd] subreddit, where it remains five years hence, between "Linguistics" and "Ask Historians," suggesting that the term was popularized by Xkcd fans after [https://books.google.com/ngrams/graph?content=they+did+the+math&case_insensitive=on&year_start=1980&year_end=2008&corpus=15&smoothing=3&share=&direct_url=t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0#t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0 its initial appearance c. 1988.] The proliferation of mathematics fora is certainly also due to the quickly increasing overall level of education and rapidly growing numbers of internet users.
−

	The title text continues Cueball's thought process, with the possibility of using an automatic equation solver to find the unknowns. Equation solvers are not often considered beautiful ways to address purely mathematical problems, even if they are often the most efficient and in that sense elegant solutions to applied problems in engineering. Using a formal solver with symbolic, numeric, or both methods requires making sure that the constraints (e.g. equations) are entered correctly, with parentheses balanced in their correct locations for the solution to succeed. While the {{w\|mathematical beauty\|beauty of mathematics}} and pure physics may not be associated with automatic solvers in spreadsheets, general optimization methods are considered elegant in applied physics and engineering, with [http://entsphere.com/pub/pdf/1957%20Jaynes,%20ShannonMaxEntBoltzmann.pdf Jaynes (1957)] cited more than 12,000 times on Google Scholar, including by [https://www.researchgate.net/publication/234147180_Maximum_Entropy_Image_Restoration_in_Astronomy a paper cited] by the [https://arxiv.org/abs/1711.01286 first black hole image astronomers] for example.		The title text continues Cueball's thought process, with the possibility of using an automatic equation solver to find the unknowns. Equation solvers are not often considered beautiful ways to address purely mathematical problems, even if they are often the most efficient and in that sense elegant solutions to applied problems in engineering. Using a formal solver with symbolic, numeric, or both methods requires making sure that the constraints (e.g. equations) are entered correctly, with parentheses balanced in their correct locations for the solution to succeed. While the {{w\|mathematical beauty\|beauty of mathematics}} and pure physics may not be associated with automatic solvers in spreadsheets, general optimization methods are considered elegant in applied physics and engineering, with [http://entsphere.com/pub/pdf/1957%20Jaynes,%20ShannonMaxEntBoltzmann.pdf Jaynes (1957)] cited more than 12,000 times on Google Scholar, including by [https://www.researchgate.net/publication/234147180_Maximum_Entropy_Image_Restoration_in_Astronomy a paper cited] by the [https://arxiv.org/abs/1711.01286 first black hole image astronomers] for example.

@@ Line 8: / Line 8: @@
 ==Explanation==
-[[White Hat]] is observing a {{w|physicist}}, [[Cueball]], who is staring at some equations and diagrams on a {{w|chalkboard}} (unreadable in the comic). White Hat is neither a physicist nor a {{w|mathematician}}, but he seems to glorify those professions. He wishes he understood the mathematics in Cueball's work and "the beauty on display here." People who profess a love for mathematics often cite the beauty they see in pure math, how things work out so perfectly, as the reason they love math.
+{{incomplete|Complete but about half of the explanation recently seemed insufficiently related to the comic.}}
-The joke here is that Cueball as a physicist is doing something instead quite simple and relatable: Avoiding hard work. Solving many kinds of constraints for two unknowns isn't necessarily difficult, but can be depending on the details. Cueball clearly thinks a solution is possible but would rather find an easier route. The same could be said about the field of mathematics in general: A proof is beautiful to a mathematician when it provides {{w|aesthetic}} pleasure, usually associated with being easy to understand. A proof is elegant when it is both easy to understand and correct, and mathematical solutions are profound when useful.
+[[White Hat]] is observing a {{w|physicist}}, [[Cueball]], who is staring at some (in the comic unreadable; see [https://imgs.xkcd.com/comics/math_work_2x.png high resolution version]) equations and diagrams on a {{w|chalkboard}}. White Hat is neither a physicist nor a {{w|mathematician}}, and seems to glorify those professions. He wishes he understood Cueball's work and "the beauty on display here."  People who profess a love for mathematics often cite the beauty they see in pure math, how things work out so perfectly, as the reason they love math.
-The title text continues Cueball's thought process, with the possibility of using an automatic equation solver to find the unknowns. Equation solvers are not often considered beautiful ways to address purely mathematical problems, even if they are often the most efficient and in that sense elegant solutions to applied problems in engineering. Using a formal solver with symbolic, numeric, or both methods requires making sure that the constraints (e.g. equations) are entered correctly, with parentheses balanced in their correct locations for the solution to succeed. This might be a further joke about Cueball's laziness, suggesting that he doesn't even have the energy to check whether his parentheses are placed correctly. At the same time it might show how far away he is from finding the real solution: Any missing, misplaced or spurious parenthesis will most likely immediately invalidate the whole equation system.
+The joke is that Cueball as a physicist is doing something instead quite simple and relatable: Avoiding hard work. Solving many kinds of constraints for two unknowns isn't necessarily difficult, but can be depending on the details. Cueball clearly thinks a solution is possible but would rather find an easier route. The same could be said about the field of mathematics in general: A proof is beautiful to a mathematician when it provides {{w|aesthetic}} pleasure, usually associated with being easy to understand. A proof is elegant when it is both easy to understand and correct, and mathematical solutions are profound when useful. Record numbers of mathematics interest groups and their forums in which such work is done exist today, from academic journals predating the use of electricity to a plethora of internet math and science fora such as {{w|Wikipedia:Reference_desk/Mathematics|Wikipedia Reference Desks}} and Reddit's [https://reddit.com/r/theydidthemath /r/theydidthemath] forum, which fueled a [https://i.imgur.com/l1r1VEE.png resurgence of the phrase "they did the math" as a search term in 2014,] because it was included in the sidebar of the [https://reddit.com/r/xkcd /r/xkcd] subreddit, where it remains five years hence, between "Linguistics" and "Ask Historians," suggesting that the term was popularized by Xkcd fans after [https://books.google.com/ngrams/graph?content=they+did+the+math&case_insensitive=on&year_start=1980&year_end=2008&corpus=15&smoothing=3&share=&direct_url=t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0#t4%3B%2Cthey%20did%20the%20math%3B%2Cc0%3B%2Cs0%3B%3Bthey%20did%20the%20math%3B%2Cc0%3B%3BThey%20did%20the%20math%3B%2Cc0 its initial appearance c. 1988.] The proliferation of mathematics fora is certainly also due to the quickly increasing overall level of education and rapidly growing numbers of internet users.
 ==Transcript==
-:[White Hat is watching Cueball from a couple of meters away. Cueball is contemplating the formulas and diagrams that fills the blackboard he stands in front of. Cueball holds a chalk in his hand. None of the content on the blackboard is readable, but there is a diagram in the shape of a circle and a another pie shaped diagram. Both are thinking with large thought bubbles above their heads, with small bubbles connecting them and the larger bubble.]
+:[White Hat is watching Cueball from a couple of meters away. Cueball is contemplating the formulas and diagrams that fills the blackboard he stands in front of. Cueball holds a chalk in his hand. None of the content on the blackboard is readable, but there is a diagram in the shape of a circle and a another pie shaped diagram. Both are thinking with large thought bubbles above their heads, with small bubbles connecting them and the larger bubble]
 :White Hat (thinking): Amazing watching a physicist at work, exploring universes in a symphony of numbers.
 :White Hat (thinking): If only I had studied math, I could appreciate the beauty on display here.