'Set of pearls' mathematics / physics help

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Discussion Overview

The discussion revolves around the concept of "pearl necklaces and bracelets" in the context of mathematical and physical theories. Participants explore the existence of these structures within various equations and theories, seeking clarification and examples related to their application in fields such as group theory and spinor groups.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant mentions encountering equations that reference "pearl necklaces and bracelets" but struggles to find specific theories or equations that utilize these concepts.
  • Several participants request clarification on how these terms relate to the equations, indicating a lack of understanding of the original context.
  • Another participant suggests a connection to spinor groups and implies that these structures may be classes within certain theories, although the details remain unclear.
  • There is a mention of adding finite sums to achieve a specific result, although it is not directly tied to the pearl concept.
  • Some participants discuss the distinction between theories and theorems, with one suggesting that theorems may be more precise than theories.
  • Group theory is brought up as a relevant mathematical framework, but its connection to the pearl structures is not fully explored.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the meaning or application of "pearl necklaces and bracelets" in equations. There are multiple competing views and a general lack of clarity regarding the original inquiry.

Contextual Notes

Some statements reflect uncertainty about the definitions and implications of the terms used, and there are unresolved questions about the specific theories or equations that may involve these concepts.

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.
 
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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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