Physics of Triggering

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The initial 3000 digits of π. The sequence, extending itself toward infinite, derives by the initial unique conditions existing in the pocket we inhabit. It is a local condition, a Universal but not Multiversal constant. These subjects are definetely out of the scope of these pages devoted to the fundamental role of the Measurement, as applied in the Electronic Inspectors. We’ll simply outline the position reached during last twenty years.
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Foliations are Superpositions. Henri Poincare’, the same French scientist who also seeded the ideas later developed by Minkowski, started in his thesis a new chapter devoted to bifurcations. Bifurcations are considered in a wide range of physical phenomenons, the most known being the Dynamical Systems. Bifurcation Theory studies the bifurcation hyper surface in the space of vector fields.
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Cobordism
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Induction is due to Virtual Photons. Why the classic Principle of Superposition fails What precedes demonstrates that the majority of the linear systems encountered are simplifications of a nonlinear reality, under some basic assumptions which, in the case of electronic circuits, can be synthesized as: no Environment; no high frequency Signals; no Virtual Particles; full linearity of the eventual subsystems of the linear system, in our case, the RLC circuitry; no correlations bet
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Forces in their Classic view 2800x1582@1x
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a classically unexpected behaviour manifestly nonlinear of the simplest electric components shows itself when increasing the signals' frequency. In the example referred to a cable, to signals’ frequencies ranging (27 - 34) GHz correspond wide deviations out of what expected by classical Electrodynamics. Nature has an agenda different than our classic, itself based on a completely different set of assumptions. In evidence the fact that the standard deviation (Std Dev) of the timing is only 1.7
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Also cables, linear when transferring DC power, start to reveal their nonlinear nature as we increase the Signals frequency
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Introducing the module below in the out feed of a Signal Generator like the one above, it becomes possible to extend until 750 GHz the frequency of the signals introduced into electrical and electronic circuits. Thus, allowing to witness the divergence of the super posed correlated effects. An infinity converging to a limited however mind boggling amount due to the discretization of the frequencies readable in the Generator
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c med hr
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L equivalent circuits of a single Resistor, Capacitor and Inductor. The values we registered for the current i, so different than what expected by the equation [4] show that the impedance characteristics of common circuit linear elements R, L, C, are only low-frequency asymptotes of the overall frequency responses of these components
an electronic circuit with two different types of voltages and the same type of current
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R equivalent circuits of a single Resistor, Capacitor and Inductor. The values we registered for the current i, so different than what expected by the equation [4] show that the impedance characteristics of common circuit linear elements R, L, C, are only low-frequency asymptotes of the overall frequency responses of these components
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nonlinear classic devices were born long before transistors. Legacy vacuum tubes are non-linear devices, operating on base of Electrostatic. A portion of their characteristic curve shows the equivalent of a differential negative resistance, what made of them the first Signal amplifiers of the history
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the reality. RLC are correlated subsystems and each one of them separately and differentially exposed to an Environment whose relation with the correlated RLC is impossible to fully account
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the fiction. Linear character of the inductor, resistor and capacitor is what we expect to see after connecting them to Functions or Signal Generator in a RLC serie circuit, powered by a sinusoidal wave form. Linear means they are bipoles whose behaviour follows the classic version of the Principle of Superposition
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The Classic Principle of Superposition: why it fails