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| https://en.wikipedia.org/wiki/Feedback |
Roots and coefficients of multivariate polynomials over finite fields:
The crucial observation used in the proof of Theorem 1 is that a univariate polynomial F(X) can at most have deg F roots. For multivariate polynomials over general fields there does not exist a similar result as typically such polynomials have infinitely many roots when the field under consideration is infinite. For multivariate polynomials over finite fields, however, we do have a counterpart to the bound used in the proof
The figure shows a simplified block diagram of a negative feedback amplifier.
The feedback sets the overall (closed-loop) amplifier gain at a value:
where the approximate value assumes Ξ²A >> 1. This expression shows that a gain greater than one requires Ξ² < 1. Because the approximate gain 1/Ξ² is independent of the open-loop gain A, the feedback is said to 'desensitize' the closed-loop gain to variations in A (for example, due to manufacturing variations between units, or temperature effects upon components), provided only that the gain A is sufficiently large.[32] In this context, the factor (1+Ξ²A) is often called the 'desensitivity factor',[33][34] and in the broader context of feedback effects that include other matters like electrical impedance and bandwidth, the 'improvement factor'.[35]
So, there may be a clear way to solve the "polynomial" that at first glance has no solution since it's one* equation and 8 unknowns. By grouping into The Universal Feedback System, perhaps it can be shown once and for all where all these constants come from in a logical, likely geometrical ratioed way.
#Winning
* since the polynomial is derived from a series of equations that are solved simultaneously, implicating the derivation may show/include more than 1 equation... ...this statement is still being verified
from https://subtle.energy/nassim-haramein-the-connected-universe/:
Through nearly 30 years of research in physics and writing multiple papers, Haramein has come to a deep understanding of the underlying mechanics of our universe, using his equations and theory to calculate the most accurate prediction of the charge radius of the proton to date. Bringing in evidence from fundamental physical principles and leading research, he is able to show that we live in a connected universe with an inherent feedback network in the structure of space, which has led to pioneering insights in our interpretation of cosmological, quantum, and biological scale systems.
Bob Widlar supposedly wrote a series of articles/papers about the problems of planar IC process for analog circuit design while in the background learning how to overcome those problems. Haven't found the reference yet, however, Bob Pease probably was the one who wrote about what Bob Widlar did...
ReplyDeletehttps://www.electronicdesign.com/technologies/analog/article/21795678/whats-all-this-widlar-stuff-anyhow
Guessed correctly, the link above to Bob Pease about WIdlar mentions: "What technical things did Bob accomplish? Well, in addition to the op amps and the bandgap references, Bob also brought out the industry’s first high-power voltage regulator, the LM109. A couple of people reminded me that in the fall of 1967, there had been a big controversy about whether it would be possible for anybody to build a high-power regulator on one monolithic chip. There were little letters to the editor in several magazines, pro and con. Finally, Widlar settled the argument by writing an authoritative-sounding letter. It pointed out that the thermal gradients on a chip would make it impossible to make a high-power chip with good performance, and the features would be impossible, and the reliability would be impossible. That settled the argument. Everybody shut up, because obviously Widlar knew what he was talking about. Then two months later, Widlar introduced the 20-W LM109, and it included all those features that Widlar said were impossible. All of the IC engineers realized Widlar had taken them for a ride, and that he had the last laugh. What a master of the art of playing games!
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