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by trackstar
January 11th, 2022, 4:28 am
Forum: Off Topic
Topic: Newton's shell theorem with random density
Replies: 22
Views: 2013

Re: Newton's shell theorem with random density

That is funny. I have thought that it would be interesting to have a game where some of the rules changed after each quarter. Either randomly, or as kind of a handicapping system to give a badly trailing team a chance. So many things you could alter - the number of downs, how many men allowed on the...
by trackstar
January 9th, 2022, 7:51 pm
Forum: Off Topic
Topic: Newton's shell theorem with random density
Replies: 22
Views: 2013

Re: Newton's shell theorem with random density

Found a short paper on this - fun approach and there a nice summary below: " This paper is a gem, exhibiting the beauty of mathematical proof while at the same time revealing the mystery behind some deep classical results."  Newton’s Shell Theorem via Archimedes’s Hat Box and Single-Variab...
by trackstar
January 7th, 2022, 12:46 am
Forum: Off Topic
Topic: Newton's shell theorem with random density
Replies: 22
Views: 2013

Re: Newton's shell theorem with random density

Replacing previous diagram with one that will stay put:
NSTdiagram.png
by trackstar
January 6th, 2022, 8:49 pm
Forum: Off Topic
Topic: Newton's shell theorem with random density
Replies: 22
Views: 2013

Re: Newton's shell theorem with random density

https://upload.wikimedia.org/wikipedia/commons/thumb/3/3d/Shell-diag-1.svg/500px-Shell-diag-1.svg.png " A solid,  spherically   symmetric  body can be modeled as an infinite number of  concentric , infinitesimally thin spherical shells. If one of these shells can be treated as a point mass, th...
by trackstar
January 6th, 2022, 8:28 pm
Forum: Off Topic
Topic: Newton's shell theorem with random density
Replies: 22
Views: 2013

Re: Newton's shell theorem with random density

All too vague for me. How does it all relate to a "shell"? Somebody please use the LaTex or post a clarifying picture.
Newton's Shell Theorem via math.ksu.edu in pdf form

Equations and pictures there, Your Majesty. : D
by trackstar
January 4th, 2022, 10:21 pm
Forum: Off Topic
Topic: Chatroom
Replies: 563
Views: 51034

Re: Chatroom

hello friends, and once again happy new year. what is (the name of) a simple yet efficient algorithm/method to enumerate all the combinations of k elements in a set of with a total of n elements? in my use case this will be all combinations of 2 elements among  ~1K elements. . apologies if this is ...
by trackstar
January 4th, 2022, 3:52 am
Forum: Politics Forum
Topic: Best news of 2022
Replies: 29
Views: 12743

Re: Best news of 2022

Well, sure and subject to change, but I am happy for Apple. From the article:  " Apple’s closest rivals are Microsoft , valued at $2.53 trillion at the end of 2021, Google parent company Alphabet , valued at $1.92 trillion, and Amazon , valued at $1.69 trillion." So, the Evil Empire did no...
by trackstar
January 4th, 2022, 2:19 am
Forum: Politics Forum
Topic: Best news of 2022
Replies: 29
Views: 12743

Re: Best news of 2022

Golden Apple

Apple Becomes 1st Company Worth $3 Trillion - Forbes January 3 2022

That is more than the GDP of the UK!
apple.jpg
by trackstar
January 2nd, 2022, 2:31 pm
Forum: Off Topic
Topic: Looking Ahead: 2022
Replies: 14
Views: 2525

Re: Looking Ahead: 2022

Oh, Places to Go and Things to Know Congratulations, Wilmotters! Today is your day. Escape to Great Places! Head off and away! You have Pfizer in pocket. Moderna in shoes. You can vax yourself  Whenever and wherever you choose. And if you’re not sure, just for good measure You can take J&J now,...
by trackstar
December 31st, 2021, 2:25 pm
Forum: Off Topic
Topic: Advent Calendar 2021 (for the OT)
Replies: 102
Views: 9607

Re: Advent Calendar 2021 (for the OT)

Quadrantids for Quants The Quantrid meteor shower is set to peak on January 2-3 and visible from the Northern hemisphere - a nice way to start the year. 2022 Quadrantid meteor shower to peak January 2-3 - EarthSky December 29  for time and viewing information. bearish: a) It's a perfect split. b) N...
by trackstar
December 31st, 2021, 1:38 am
Forum: Off Topic
Topic: Advent Calendar 2021 (for the OT)
Replies: 102
Views: 9607

Re: Advent Calendar 2021 (for the OT)

New Year's Resolutions

Always books.  Something for everyone in this big pile. : D

and when not reading - wandering in the forest.

Happy New Year, everyone.
by trackstar
December 22nd, 2021, 2:33 pm
Forum: Off Topic
Topic: Advent Calendar 2021 (for the OT)
Replies: 102
Views: 9607

Re: Advent Calendar 2021 (for the OT)

Great! It was fun constructing these puzzles and quizzes. Before I go, here's something in advance for New Year's Eve (no right or wrong answers here, at least not that can be proven yet). December 31, 2021 The Big Picture 1. How old is the Universe? a) It has always been here - there was no beginni...
by trackstar
December 22nd, 2021, 12:07 am
Forum: Off Topic
Topic: Advent Calendar 2021 (for the OT)
Replies: 102
Views: 9607

Re: Advent Calendar 2021 (for the OT)

For the final entry here - 3 in 1. 

December 23, 2021

Lessons and Carols at KIng's College Cambridge

[/b]

December 24, 2021
treeinsnow2.jpg
December 25, 2021
Earth.jpg
And that's all there is. Best wishes to all for the new year. 
by trackstar
December 21st, 2021, 9:42 pm
Forum: Off Topic
Topic: Advent Calendar 2021 (for the OT)
Replies: 102
Views: 9607

Re: Advent Calendar 2021 (for the OT)

December 22, 2021 One Million Years BC: An Epochrypha Far back to the lands that time forgot!   1.     List these eras in chronological order: Mesozoic, Paleozoic, Cenozoic Most recent era first:   Cenozoic Mesozoic Paleozoic   2.     Place each set of Periods within the proper era (no tricks here ...
by trackstar
December 21st, 2021, 8:57 pm
Forum: Off Topic
Topic: Advent Calendar 2021 (for the OT)
Replies: 102
Views: 9607

Re: Advent Calendar 2021 (for the OT)

Here it is: Gallows Humor and one more meme - also relevant for life (and the Advent) here on the Forum. : D
youguysarethebest.jpg
I will post the answers to the evolution questions shortly. I expect vigorous debate.