Undergrad 'Set of pearls' mathematics / physics help

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SUMMARY

The discussion centers on the concept of "pearl necklaces" and "bracelets" in mathematical and physical equations, particularly in relation to spinor groups and group theory. Participants reference a specific problem related to finite sums and their solutions. The conversation highlights the distinction between theories and theorems, emphasizing the importance of precise terminology in mathematical discussions. Key resources, including a link to the "pearl necklace problem," are provided for further exploration.

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  • Understanding of group theory in modern algebra
  • Familiarity with spinors in physics
  • Basic knowledge of mathematical equations and theorems
  • Ability to interpret finite sums and their applications
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  • Research the "pearl necklace problem" in combinatorial mathematics
  • Study the properties and applications of spinors in physics
  • Explore advanced concepts in group theory
  • Learn about the differences between mathematical theories and theorems
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lostsoul13
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TL;DR
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.
 
Last edited:
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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