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Firmware


Matinga's Cyclical Function Proofs
Displacement or Angular 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 = 1 - x ^ 2 , (2) A = sin ^ 2 ( x ) (3) A = ( 1 - x ^ 2 ) ^ (1/2) , (4) A = sin ( x ) (5) A = cos ( x ) , (6) sin ( x + Pi/2 ) , (7) A = ( 1 - ( x - 1/4 ) ^ 2 ) ^ (1/2) (8) tan ( x ) = sin ( x ) / cos ( x ) (8) y ^ 2, A = x [1] ^ 2 + x [2] ^ 2 + x [3] ^
Sydney Matinga
6 days ago1 min read


Matinga's Laws Of Mathematical Functions
Schrodinger's Wave Function Matinga's Laws Of Functions 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 fucntion trace an infinitesimal path or wave function. Second Law (2) The lengt
Sydney Matinga
6 days ago1 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


Time Evolution Of Dependent Dimensions
The mathematical variable for displacement represents a dependent variable dimension, in physics. It 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. x = ω * t © Sydney Matinga 2026
Sydney Matinga
Aug 221 min read
‘Absolute Value Function’™ & ‘Positive Real 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
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 operating systems
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


Incrementation Or Square Wave Algorithm In One Brief Line
Incrementation is available on all current computers. Its substantially briefer form has updated version is now released below, in early format. Indicated, immeditaely below, is an equivalent model of how a computer operates already. Introduction To “x” As Natural Time Evolution It is important to note that computers all operate on electrical physics laws. Incrementation, in physics nomenclature is indicated at (1) and (2). It is converted to early stage, IT format in (3). “
Sydney Matinga
Dec 12, 20252 min read
Wave Analysis From 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. 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 / 4 ) ) + a/2 ; The technique above, which includes the use use of pase shift in Sin ^
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. (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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