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Aeronautics & Spaceflight


Matinga's Arc Law - Trigonometry
Matinga's Arc Law Matinga's Arc Law holds that a natural number harmonic of any angle or natural number power series of any angle will always intersect the same phase angle. The law is true for circular arcs as well as for Archimedean spiral arcs. Image 1 Prologue In Image 1, the outer circle or arc is congruent with the unit circle. The inner, closed arc or the fundamental circle or fundamental arc θ [o] is concentrically parallel to the the unit circle. It is half the arc l
Sydney Matinga
3 days ago2 min read


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


Decay Algorithm
Decay begins with a constant. The constant is translated to a cumulative dependent variable. In physics the first element in the sequence is a constant dimension. It is subject to a change of energy phase in reduce its magnitude. In Decaying orbits can be represented by the algorithm below. The algorithm is represented below. x = ω * t x is a variable. All other characters represent contestants. A = C * e ^ ( a [ 2 ] * -( x + h )/b ) ©
Sydney Matinga
Aug 221 min read


'Electromagnetic Aerospace Propulsion'™
Electromagnetic Aerospace Propulsion Legal Codicil The Electromagnetic Aerospace Propulsion technology is legally prohibited from military application. The Electromagnetic Aerospace Propulsion technology is strictly pursuant to the legally diligent civilian development or civilian manufacture or civilian operation. The Electromagnetic Aerospace Propulsion Legal Codicil concludes its reference here. Abstract The following sets the experimental parameters to test a electricall
Sydney Matinga
Aug 195 min read


Accreting & Decaying Orbits & Orbitals
(1) x = e ^ a is the equation for an Archimedean spiral. (2) x = h * e ^ a is the physics equation for discrete displacement in the spiral arc. (3) A = e ^ x , (4) x = e ^ n Both immediately preceding equations describe an accreting orbit. (4) represents a series of discrete, natural orbitals, similar to mosquito coil in configuration, beginning from the centre of the orbital. (3) represents the same orbit curve, contiguously, rather at full orbital interval
Sydney Matinga
Aug 172 min read


SafetyBatten™ Structural Insulation
SafetyBatten is the most dependable material for fire resistant building insulation in the world under the correct formulation, rather than examples like plain polyester. When it is intermeshed with 1 mm diameter of the most electro-thermally conductive copper carbide, cubic mesh with 3 mm lengths of the wire in each cube the structure is fire resistant. The copper carbide wire has significantly low heat inertia. It conducts heat lightning fast so that it absorbs sparks a the
Sydney Matinga
Jul 271 min read


ATMOSSAT™
Figure 1 System Modules The model is not to scale. Modules may be also multiplied or divided, for stability and scale. Odd numbers of rotary modules provide more stability than even numbers. Bi-directional, axial rotational, Electric Turbofan & Motor/Dynamo x 3 Semi-evacuated and partially, low pressure helium gas filled, hollow cylinder chamber x 1, x 3, or x 5 Semi-vacuum and partially, low pressure helium gas filled, hollow cylinder x 1, x 3, or x 5, respectively. (Lithium
Sydney Matinga
May 162 min read


'Matinga's Orthogonal Topology Law' & Electrical Physics
Free Licence Figure 1 Orthogonal Topology Law All spatial geometry is circular. In a circle or cycle, all radial field lines are orthogonal and simultaneously parallel to other. Examples In Electrical Physics Gaussian theory combined with Orthogonality Law states, as extended Orthagonality Law, that field lines tangential to those entering and exiting an enclosed surface (manifold) must be of equal number surrounding the enitre maninfold. In the closed segment area, "1", the
Sydney Matinga
Feb 262 min read
‘Private Power Network’™ - PPN™
For the testing of the following insights please gauge them on scale model circuits to avoid risk. Private power grids are power grids which do not share any of their power usually inadvertently, via remotely affected, quantum induction. The phenomenon is caused by sustained, unbroken voltage-matching of power supplies. Deliberately rotating the amplification will prevent that from occurring. Full power amplitude or full voltage will be realised, possibly for the first occas
Sydney Matinga
Feb 171 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


De-formation™ Force & Work
Image 1 The simplest methodology is sought to represent material deformation. In the image above, an example of a beam under gravitational influence from a central fulcrum is indicated, in the upper portion. The latter time sequence of the same beam is displayed with more de-formation than earlier, from equal mass apportioned to each end for all timeframes. In the earlier example gravity deforms the beam under its own mass. The deformation from the mass, placed under gravitat
Sydney Matinga
Jan 162 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
Angular Product Rule
Product Rule of Angles and Waves All product events can be simplified to angular product, with amplification of a, as well. (1) A = ( (a ^ 1) * Sin ^ 1 ( θ [1] + Φ [1] ) ) * ( (a ^ 1) * Sin ^ 1 ( θ [2] + Φ [2] ) ) * ( (a ^ 1) * Sin ^ 1 ( θ [3] + Φ [3] ) * … * ( ( a ^ n ) * Sin ^ 1 ( θ [n] + Φ [n] ) )
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
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