I 'Set of pearls' mathematics / physics help

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The discussion centers on the concept of "pearl necklaces and bracelets" in mathematical and physical equations, particularly related to spinor groups and their inherent properties. Participants seek clarification on how these terms apply within various theories and equations. There is a suggestion that the terms may relate to group theory, which is a branch of modern algebra. Some users express confusion over terminology, debating the difference between theories and theorems. Overall, the conversation highlights a quest for deeper understanding of specific mathematical constructs related to the "pearl" analogy.
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I read on wiki that some theory’s/equations have set of pearl necklaces and bracelets within their equations- but can’t find it no more - can you help with the theory ?
I was browsing wiki’s physics theory’s couple years ago and came across a few equations that stated they have pearl necklaces and bracelets within they fields of equations- I’ve tried researching - I mean I went down the garden path of all sorts of theory’s and equations… they inherent these sets as a byproduct of their equations can any one point me in a direction of what theory’s equations possess the pearl bracelets and necklace??

Regards
 
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Baluncore said:
Welcome to PF.

Can you be more specific about how they have pearl necklaces and bracelets in the equations?
https://josmfs.net/2021/07/24/the-pearl-necklace-problem/
They inherited these sets as apart of their theory field - from what I understood it was like spinners groups and these were some sort of classes on their own - there was a few theory’s that inherited either a bracelet or necklace or something both.. but it had its own equation how they would inherit these pearls.
 
Baluncore said:
Can you be more specific about how they have pearl necklaces and bracelets in the equations?
https://josmfs.net/2021/07/24/the-pearl-necklace-problem/
If this is the problem referred to in this thread, it seems pretty straightforward, although I haven't actually set anything down on paper. My approach would be to add two finite sums so that their combined sum is $65,000, and solve the resulting equation.
lostsoul13 said:
They inherited these sets as apart of their theory field - from what I understood it was like spinners groups and these were some sort of classes on their own - there was a few theory’s that inherited either a bracelet or necklace or something both.. but it had its own equation how they would inherit these pearls.
@lostsoul13, there are such things as spinors in physics (see https://en.wikipedia.org/wiki/Spinor) but what you wrote here otherwise makes no sense.

BTW, the plural of theory is theories, not theory's.
 
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Mark44 said:
BTW, the plural of theory is theories, not theory's.
How about theorems? A theory is so vague, but a theorem seems more mathematical.
 
jackjack2025 said:
A theory is so vague, but a theorem seems more mathematical.
Are you aware of group theory, the subset of modern algebra that is concerned with groups?
 
Mark44 said:
Are you aware of group theory, the subset of modern algebra that is concerned with groups?
yes
 
jackjack2025 said:
How about theorems? A theory is so vague, but a theorem seems more mathematical.
Two different animals.
 

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