Convergent matrice=divergent constant ?

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Discussion Overview

The discussion revolves around the relationship between convergent matrices and divergent constants, particularly in the context of mathematical representations of dipoles and their relevance to brain systems. Participants explore theoretical and conceptual aspects, seeking equations that might describe these relationships.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant seeks examples of equations where a convergent matrix is the reverse of a divergent constant, referencing logarithmic functions and the golden ratio (phi).
  • Another participant challenges the terminology used, questioning the meaning of "divergent irrational" and "convergent matrix," suggesting that these phrases lack standard definitions.
  • A participant proposes that the physics of a dipole can be represented mathematically, with the north pole associated with convergent matrices and the south pole with divergent properties, particularly through the lens of the Fibonacci sequence.
  • There is a discussion about the definitions of constants and functions, with some participants clarifying that a constant cannot be divergent and that "reverse" lacks a mathematical definition, suggesting "inverse" instead.
  • One participant expresses interest in modeling the electromagnetic properties of dipoles and their connection to brain microtubules, indicating a desire to find usable representations for these concepts.
  • Participants debate the implications of eigenvalues in the context of convergent systems, with one suggesting that eigenvalues less than one could model a "sink." Another questions this assertion and seeks clarification.
  • There is a recurring emphasis on the importance of phi in the context of brain structures and its relationship to divergence, with references to its occurrence in biological systems.

Areas of Agreement / Disagreement

Participants express significant disagreement regarding the terminology and definitions used in the discussion. There is no consensus on the meanings of "convergent matrix" or "divergent irrational," and the discussion remains unresolved regarding the mathematical relationships being explored.

Contextual Notes

Limitations include unclear definitions of terms, unresolved mathematical concepts, and the dependence on specific interpretations of the relationships between matrices and constants. The discussion does not reach a definitive conclusion on the proposed ideas.

  • #31
This is getting ridiculous. I've let this thread run longer than it should have.

Sprinklehopper: whether your a crackpot or seriously trying to learn, this format is inappropriate. It is unduly combative, and potentially misleading to other students of mathematics. I'm actually embarassed to see that this thread makes the front page of a google search for "convergent matrix".

When you're willing to be more receptive to others' responses, then you can start a new thread. But if you intend to keep the same attitude, then don't bother.

Willingness to try and learn the concepts, and what kinds of objects are being discussed is good. Willingness to try and learn what words mean is good. Continuing to speak what amounts to gibberish despite being repeatedly told so is bad.


Before I close the thread, though, I will answer some of what you've said:


[2] is an example of a nonsingular matrix that is not binary.


Imprecisely speaking, the usual usage of the term "rational number" means any number that can be written in the form a/b where a is an integer, and b is a nonzero integer.

And an irrational number is a real number that is not a rational number.
 
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