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Firmware


Time Evolution In IT & Engineering Algorithms
(1) x = ω * t for the time continuum or time dimension (2) A = x , x = ω * clock() for system clock (3) x = ω * T for finite period of time or for finite durtation (4) x = ω * a / 2 * Pi * clock() , A = x / 2 * Pi * clock() for runtime © Xerqon Pty Ltd 2026
Sydney Matinga
Sep 291 min read


Incrementation Algorithm In One Line
The programming solution to incrementation is represented below. It is based on the system clock, in all examples. "h" is the starting time. “n” is a natural number, and “a” is a real number constant. For the algorithm to function, do not attempt to simplify the independent expression any further. BODMAS or BEDMAS both dictate the sequence forced by brackets and powers ( high order multiplication). A = n [ i ] , ( clock() - h [ i + 1 ] )/2 * Pi * ( a [ i +
Sydney Matinga
Sep 121 min read


'Universal VPN'™
The following is a VPN frequency coefficient. For regular IT, the VPN is divisor to the numerator x. That is such that the frequency coefficient is as follows a = ( ( n + 1 + h ) / n ) A Universal VPN which combines 2 or more amplitudes is unique or extremely rare in frequency distribution. The combination of both amplitudes or networks must be only shared between the two sets of networked network adaptors. Each device should operate on it o
Sydney Matinga
Sep 101 min read


Matinga's Cyclical Function Proofs
x = ω * t for a variable dimension, or for displacement evolution h = ω * T for a constant dimension, dimensional interval, or for constant displacement or total displacement Pythagoras Theorem c ^ 2 = a ^2 + b ^ 2 Formula For Circle (Conic Sections) r ^ 2 = x ^ 2 + y ^ 2 1 ^ 2 = x ^ 2 + y ^ 2 , Matinga Cyclical Functions (1) y ^ 2 = a ^ 2 - x ^ 2 , (2) a * sin ^ 2 ( x ) (3) A = ( 1 - x ^ 2 ) ^ (1/2) , (4) sin ( x ) (5) A = cos ( x ) , (6) sin (
Sydney Matinga
Aug 262 min read


Matinga's Mathematical Function Laws
Matinga's Function Laws Every formula can be expressed as an equation as every equation can be represented as an algorithm. They are ultimately univariable or simply functions. All algorithms represent a contiguous series of amplitudes as (1) heights or (2) vertical lengths representing the next dimension up from that of the heights. First Law (1) The heights of the function trace an infinitesimal path or wave function. Second Law (2) The lengths sweep an integral volume func
Sydney Matinga
Aug 261 min read


Room Temperature, Inductive Amplifier/Inverter & Logic Gates
Amplifier Scalable Device The amplifier can be designed to operate as an inverter of the inductive logic or of the current. That is indicated in the NOT gate below, as well as in the NOT gate following. For electrical engineering, the induction junction can be compromised of two large metal bars - preferably of low-carbon copper carbide. Inductive circuits will require magnetic shielded casing to protect electronics and chemical properties. More importantly human and animal b
Sydney Matinga
Aug 233 min read


Scalar & Harmonic Law - Physics
Scalar & Harmonic Law The mathematical variable for displacement represents every dependent scalar dimension or harmonic dimension, in physics. More About The Scalar The scalar is the ‘x’ IT variable, by virtue of that argument. The equation which relates the physics dimension is expressed following. It is the fundamental time evolution equation. θ, x = ω * t for a time evolving variable for sinusoidal functions. Numbers or scalars are measured in r
Sydney Matinga
Aug 221 min read


‘Absolute Value Function’™ & ‘Positive Value Function’™
Please observe BEDMAS sequencing (see BEDMAS in blog) in all examples for the correct results. For the true set of values, tabulate the f (x) result. Graphical plotting generally will not concur as the functions are novel. (1) f (x) = ( x ^ 2 ) ^ 1/2 | x | (2) f (x) = ( x ^ 1/2 ) ^ 2 , X+ © Sydney Matinga 2025
Sydney Matinga
Feb 11 min read


Cyclical Dimensions Of Geometry & Matinga's Integral Rule
Cyclical Dimensions Of Geometry Volume [ cycle, d] = Pi rad * d ^ (n - 1) = Perimeter (circle) [d] , Circumference [d] Volume [ cycle, 2 ] = Pi rad * d Volume [ cycle, 3] = Pi rad * d ^ 2 Compare the last result wi the the traditional and uncertain ( 4 * Pi * r ^ 3 ) / 3 Volume is the more universal term than Area. It should be the SI standard for all cyclical event dimensions. Matinga's Int
Sydney Matinga
Jan 301 min read


'Quantum Power'™ & 'Quantum Power Sink'™
Conveniently, we shall learn about the safety concern, first. That is the very real public safety risk and commercial risk of quantum power drainage or quantum power sink. Please test all new or conceptually challenging principles on a scale electronic breadboard model for quick reference. They are available online (including from Amazon). Transmission is currently delivered at long wavelength. It should be transmitted at ultra short wavelength at lower amplification for grea
Sydney Matinga
Dec 30, 20252 min read


Time Evolution or Displacement
Time Evolution Of Vibration - Sound Waves Natural Time Evolution (unit circle, unit cycle) = 2 * Pi * frequency * time , = 2 * Pi * f * t = ω * t ——> rad (units) Radians are frequently omitted from mathematical expression, and are what should be in radians is in the form of number. All of trigonometry should be expressed in radians (rad). The following measurement is used by computer engineers, such as the DOS engineers - and for all o
Sydney Matinga
Dec 12, 20252 min read


Sine Wave Harmonic From Pythagoras' Theorem
Primary, dependent variable for any alternatively contiguous, time evolved dimension ( 1 ) x = θ , ω * t , 2 * Pi * f * t Algorithm derived directly from Pythagoras' Theorem ( 2 ) c [ i ] ^ 2 = a [ i ] ^ 2 + b [ i ] ^ 2 , ( 3 ) a [ i ] ^ 2 = x , ( 4 ) b [ i ] ^ 2 = y , ( 5 ) c [ i ] = a , Sine wave equation ( 6) y , sin ( θ ) = a ^ 2 - x ^ 2 ( 7 ) a ^ 2 = c ^ 2 - b ^ 2 , ( 8 ) a = ( c ^ 2 - b ^ 2 ) ^ 1/2 , ( 9 ) a = sin ( θ ) Sine wave function ( 10 ) A f (
Sydney Matinga
Dec 12, 20252 min read
Sine Wave to Sine Squared Wave Conversion & The Converse
For confirmation of the the claim, please plot the two sets of graphs on any graph plotter which can also show you co-ordinates on the graph, to confirm co-alignment. Visual inspection of the curves is not sufficient to solving the equivalence of the equation. Testing for cardinal points - particularly axis intercepts is a quick assessment tool. x = θ A = sin ( θ ) , A = a * sin ^ 2 ( θ / 2 + 5 * Pi / 4) - a ; A = sin ^ 2 ( θ ) , A = ( a / 2 ) * sin ( 2 * ( θ + 3 * Pi
Sydney Matinga
Dec 12, 20251 min read


Inequalities & Intervals for Programming - ‘Interval Programming’™
Matrix or Database Generator The traditional inequality is a one variable array or matrix. It is also one database record or database element or simply a database, in brief. In all examples below, time is a critical independent variable, as a continual variable component as well as a series of constant values or simply constants. The latter are timestamps. Example 1 h[ a] < x < h[ a + 1] , h[ a ] =< -x =< h[ a + i ] Example 2 Extended Version A =
Sydney Matinga
Dec 12, 20251 min read


Boolean Firmware - Boolware™
The following are high demand firmware gates. The input values can only be 1 or 0. (1) Positive Variable Algorithm/Function A = ( ( x ^ 1/2 ) ^ 2 + x ) / 2 (2) Logic 1 Algorithm/Function A = ( ( x ^ 1/2 ) ^ 2 + x ) / 2x (2) Logic 0 Algorithm/Function A = - ( x ^ 1/2 ) ^ 2 + x ) / 2x + 1 (4) Inverter Gate A = 2 * x / (x + 1) 0, 1 (5) Boolean Gate A = x ^ 1/2 + 1 0 , 1 © Xerqon Pty Ltd 2025
Sydney Matinga
Dec 12, 20251 min read
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