Are there any examples of functions that react to themselves?

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The discussion centers on the concept of functions that react to themselves, with an emphasis on differential equations as a key example. A specific case mentioned is the equation for a sine or cosine wave, represented as \(\ddot x = -x\), illustrating how acceleration is influenced by position. The elliptical orbits of a two-body system serve as a real-world application of this principle. The conversation briefly touches on the relevance of Dean Radin's work, but there is a consensus to avoid discussing controversial figures. Overall, the thread seeks clarity on self-reactive functions and their mathematical expressions.
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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 \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&#039;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).
 
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.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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