Are there any examples of functions that react to themselves?

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Discussion Overview

The discussion revolves around the concept of functions that "react to themselves," with participants exploring the meaning and examples of such functions, particularly in the context of mathematics and physics.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant seeks examples of functions that react to themselves and requests algebraic expressions for clarity.
  • Another participant questions the vagueness of the term "functions which react to themselves," indicating a need for clarification.
  • A participant suggests that differential equations, such as those describing sine or cosine waves, could serve as examples, noting that acceleration based on position leads to a feedback loop where new positions affect acceleration.
  • There is a mention of Dean Radin's work, with one participant expressing skepticism about its scientific validity and another cautioning against discussing controversial figures.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of "functions that react to themselves," with no consensus reached on specific examples or definitions.

Contextual Notes

There is ambiguity in the initial question regarding what constitutes a function that reacts to itself, and the discussion reflects varying interpretations of this concept.

alvin51015
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Hi. Are there any examples of functions that react to themselves? If so, how are they expressed algebraically? Any simple example will be extremely enlightening to me. Thanks.
 
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What do you mean by "functions which react to themselves"? That's a pretty vague description.
 
I was just throwing out an idea to see if the work of Dean Radin had permeated the regular body of knowledge.
I would say that my vagueness lends itself to the fact that I haven't figured anything out yet.
 
One type of example, would be differential equations where acceleration is based on position. For example a sine or cosine wave would be [itex]\ddot x = -x [/i]. A common real world example would be the elliptical orbits of a two body system.<br /> <br /> I doubt these are what you're looking for, but they are functions that react to themselves (the acceleration eventually results in new position(s), and the new position(s) affect acceleration).[/itex]
 
alvin51015 said:
I was just throwing out an idea to see if the work of Dean Radin had permeated the regular body of knowledge.

The parapsychologist crank, Dean Radin?
 
Exactly, let's not bring up crackpots here since it's against our rules to discuss them.
 

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