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Please observe the phase shifts of voltage in all circuitry. They help to predict the logic. The logic can tested on electronics breadboards. The first, 'subsidiary' circuit component, placed anticlockwise from the 'primary' will always share the same phase shift. Each successive parallel or 'orthogonal' component about the same circuit node will exhibit a phase shift of an additional Pi/2 rad with each component about the node. When 2 * Pi rad is reached, substitute it with

(1) y = C + x , (2) y = 3 * C + 4 * x ; (3) y = C + x , 3 * C + 4 * x ; Comma separated variable format (4) y = C + x , (5) y = 3 * C + 4 * x , from (4) + (5) (6) 2y = C + x + 3 * C + 4 * x (7) y = ( 4 * C + 5 * x )/2 Simultaneous equation format (8) y = ( a [ 1 ] * C + b [ 1 ] * x + a [2] * C + b [2] * x + a [3] * C + b [3] * x + . . . + a [ n ] * C + b [ n ] * x ) / n © Xerqon ABN 97661410108 2026

(1) A = a * sin (ω - k * x) or (2) A = a * sin ( ω + (-k) * x) is the traditional equation to describe relativistic, simple harmonic oscillation. The author's research into quantum continuity as certainty rather than probability was derived from the observation that revolving objects all have an axis of rotation or spin at the centre origin of revolution. That origin's motion generates angular displacement as a time dependency. It can also be describe as the time evolution

A scientific law is established when a theory is tested by an existing law and found to be of greater value in analysis of nature when it delivers better answers than the previous law. A law also exists if a theory has been completed and is irrefutable in contemporary enquiry. A mathematical proof is an experiment to test whether a theorem validates as a Law. © Xerqon ABN 97661410108 2026

A Priori is pronounced “ay prior’y”. It translates to the earliest logical conditions. In simple analysis, a priori must exist in both sides of a system for any communication at the logical consistency of one set of a priori. The must be the same. It is all of the system’s logic or variables. Anywhere where communication exist between two systems, they share the a priori which allows for the communication or active entanglement of that greater system governing both of them. ©

In any set diagram, consider that every set has nothing in common with each other except that they are all part of of the universal set. Then the universal set is the intersection (mathematics) or the inner-join (information technology). The outcome is that intersection is each set added together and distributed across all sets adhering to conservation of information. That means not increasing or decreasing the information count in the set count. For all set logic or set elem

Mathematics has reserved the term 'proof' for non-deviating arguments. The discipline is a subset of Physics, as it contains many of the same dimensions - as dependent dimensions, identified as dependent variables in mathematics. Mathematics is programming which is time-based, so it must join Physics whose fundamental dimension is time or quantum evolution. Algebra is the name of the mathematics programming language. Xerqon, 2026 In algebra we have been using tra

Given the the salient reality of network intrusion threats, hard drives are best stored anywhere other than on a computer. For that reason all hard drives from the nearest future production, onward, should be external, removable devices. It also means that a computer may be transported anywhere with ease, an used in modular form away from the regular office. Wireless cards should present with a hardware switch on the computer for anti-network-intrusion ability in an instant.

All mathematics is sequential. Labelling each sequential element with a event space designation is the beginning of fractal expression. The most convenient event space address to use is a numerical label or a timestamp by another definition. "n" is used rather than "x". "n" represents natural number sequences or natural events rather than "x" which represents contiguous real numbers. Example y = n , n = a [ 1 ] + a [ 2 ] + a [ 3 ] + . . . + a [ n ] , y [ n ] = a [ 1 ] + a

Most homes and facilities which are 'broken' into with a key are invaded by somebody who has been conveyed the key by a recent locksmith or by the original supplier of the lock. The latter is often a reseller. Where door locks are mentioned, a smaller version should be similarly constructed and similarly functional for window, intruder protection. Locks should never have electrical or magnetic components. They may fail under duress or with sophisticated readers or Electromagn

For all international economies, economic decisions are easier to make when the income series is stable or can be represented in a stable format where it is otherwise volatile. For simplicity, the simple formula, following will achieve the required income smoothing or averaging: The Economics Trend Formula Income Averaging Trend = C + X-bar , where C = last record value in the previous value (eg. income) measurement, and X-bar = the mean current trend value as the gradi

Q = constant charge q = variable charge, V = quantum field W = q * V, W = V * sin ( I * t + Q ), (The above is the Quantum Field Equation or the Universal Field Equation) W = V * sin ( q + Q ) V = r * sin ( i + I ) V = sin ( r + R) * sin ( i + I ) V = sin ( v + V) Voltage (magnetic flux) is the quantum component of e

Eliminating currency notes and coins from the economy will be a financial and economic boon, and an overnight death bell to most organised crime. Drinking water is its best option for a reserve commodity. Fiat currency, as it stands today, stems directly from the bond market. Bonds are each formed from a series of agreements within and between governments. Long term bonds are based on trending agreements which are essentially government promissory notes. They are laden with h

Algebra - The most Powerful 'Programming' Language on the Planet Programming changes at pace, around our world. It is essential to keep up with it. It can be difficult to keep with up it, especially when you have great programming ideas, and yet no specialist ability in a given programming language. The one, universal programming language we all learnt at school was mathematics, best summarised as algebra. Algebra also summarises all programming languages. They are essentia

The benefits to business research, of object oriented database, are extensive. To attain best customer experience using your web search engine website script your website for standard search (inner-join database) in one field configuration or for object oriented search (outer-join database). The object oriented database will populate superior data in an order of magnitude faster than the inner-join database. The conclusions are based on my experiences with different search qu

Dipolar Attractions Two objects are considered - object [up] and object [down], or simply valences or potentials up and down Net polarity (attraction) occurs from relative ratios. Polarity is always topologically strongest between two perpendicular points. Polarity is mechanically strongest at the greatest possible distance of separation. Down is 2 x the length of up. Topological attraction ratio from up to down is d [up] * d [down] / r ^ 2 . The smallest diameter d [up ] whi

A single resister in a circuit is placed to create a voltage change (voltage drop). Voltage changes can be applied via the use of a transformer. They do so without so much as negligible resistance in the circuit. In a standard or electrical circuit, the resistor function can be replaced by two parallel solenoids. The absence of a core increases the voltage transformation effect. Depending on the orientation of the two dissimilarity wound solenoids, the voltage can be stepped

4G and 5G radio towers are already in place around the world's inhabited geographic zones. A replacement for satellite is proposed for telecommunications signal normally carried by the orbital base stations. The replacement is Ground Station Local Area Network (GSLAN). It may be substantially easier to place relay towers between the inhabited zones introduced, above. The entire array would function even better if the power of the communications network was supplemented by an

All computers are electromagnetic in their operation. To take the value of the relativistic computers - all current computers - to exclusively quantum performance they must be inductive rather capacitive in the logic and power control components. To achieve this all RLC circuits in the CPU and the remaining integrated circuitry must be high frequency filtered to render the capacitors short circuits in the computer. That will pass only voltage for frequencies of above UHF. No

The Law of (Quantum) Entanglement Quantum entanglement or superposition is synchronous amplification alignment - Sydney Matinga, 2026 Amplitude Modulation Wave The wave above is produced from the algorithm, n ε [natural numbers] a = n + 1 Please select "n" as a large number which not a power of 10 A [inner-join] = Sin ( x ) //where x = θ, ω * t. It will require programming or its pre-scripted programming copied from the worldwide web// Sin ( ω *