Mathematics

Human beings each have a different and unique electromagnetic glow, generated by their nervous system. Semiconductor sensors will detect that electromagnetic, Matinga noise floor and it is more perceivable if amplified and database filtered by a computer database. The algorithm for Matinga noise floor can be reviewed in the article, Matinga Quantum Noise Floor Quantified. The immediate sensory device is a point radar antenna (see the Point Radar article in this blog). The fol

(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

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

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

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

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

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

No matter type of rate we work with in Physics, we always place a harmonic in product with a unitary dimension or constant (critical dimension) of continuum with the critical dimension of frequency. That is for the unitary measure of the ‘moment’ or for once instance or one presentation, 1 Hz. To express the measure of the moment, with the same harmonic as wavelength, invoking its inverse, period is the simplest method. For instance f * λ is best λ / T when frequency has been

Compound Interest Principal = $100,000 AUD Return on Investment = 15%, Internal Rate of Return = 115% or 1.15 Time elapsed = 7.5 years = Principal * ( 1.15 / yr ) ^ ( 7.5 yr ) = 100,000 AUD * ( 1.15 / yr ) ^ ( 7.5 yr ) = 285, 255 AUD The Rule in Brief log ( x ^ a * unit ) = unit * log ( x ^ a ) = log ( x ^ a ) unit © Xerqon

Figure 1 In the closed segment area, '1', there are 4 vertexes. Each culminates at angle of 90° or Pi/2 rad. In Figure 1, sector 2 the same series of angles as in segment 1 would congruously repeat. That all suggests the radial lines are orthogonal to each other and to the concentric lines, simultaneously. For electronics that concept would have orthogonal power in each intersecting circuit component. If you correctly envisage the power flux being sinusoidal, as it is for ste

A = Logic 1 for all positive results and logic 0 for the alternative, A = ( ( x ^ 1/2 ) ^ 2 + x ) / 2x © Xerqon ABN 97661410108 2025

r ^2 = x ^ 2 + y ^ 2, r = ( x ^ 2 + y ^ 2 ) ^ 1/2 2 * Pi * r = C, 1 r = 1 / 2 * Pi, r, 1 / 2 * Pi = ( x ^ 2 + y ^ 2 ) ^ 1/2, x, y = 7/22 1 / 2 * Pi = 7/22 + 7/22, 1 / 2 * Pi = 14/22, 2 * Pi = 22/14, Pi = 22/7 22/7 is not an approximation for Pi. It is the accurate and precise ratio of circumference (22) to diameter (7). Corroborate that with the article, Pi Fully Defined from an Improper Fractio

n ∈ N Pi ∈ S S ∈ Q Example 1 S = 2 * ( 4 * ( n + 1 ) + 3 ) / (10 * n + 4) / 2 n = 1 returns the value 3 + 1/7 , 22/7 or Pi. Reference the conclusion with that of the article Proof of the True Value of the Pi Ratio. IT programming via iteration or estimation is what currently propagates the accepted Windows OS, Pi value. The value above is not estimation. It is the true, accurate and precise value of Pi. © Xerqon ABN 97661410108 2026

‘i' and ‘j’ Solved as Matinga's Number Dedicated to the memory of my dear daughter, Annabelle (Butler) Matinga (2001-2025) j , i = 1 , -1 The solution allows mathematicians, scientists and engineers to dispense with the less discrete solution of r cis θ dependent variable, for a clear and definitive set of values to 'i' of Mathematics and 'j' of Electronics. © Xerqon ABN 97661410108 2026