Civil Engineering

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

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] ^

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

Time evolved, spatial displacement is calculated below. Scalars are in radians for modern physics and there are no units for them in classical physics. (1) A = ( a/2 ) * ( 1 - ( 2 * x /b ) ^ 2 ) ^ 1/2 (2) A = ( a/2 ) * ( 1 - ( 2 * ( 2 * Pi * f * t )/b ) ^ 2 ) ^ 1/2 (3) A = ( a/2 ) * ( 1 - ( 4 * Pi * f * t /b) ^ 2 ) ^ 1/2 (4) A = ( a/2 ) * ( 1 - ( 4 * Pi * ( 1 hz ) * t/b ) ^ 2 ) ^ 1/2 The ellips

Aviation has can, in major part, be replaced by diesel. It will auto-ignite at 210 °C. At high air to diesel ratios and high air-fuel mix pressure the charge can replace aviation fuel as it burns at around 873 K, at a further 1 500 atm. The power is calculated below, where electromagnetic or heat speed is c, the speed of light. SI (international system of units) units are used as is standard for time comparative physics calculations. For example, 5 kg * m/s can be represented

A device has been developed to prevent explosion from temperature, electrical or pressure surges or ignition in an otherwise flammable material or substance. It is TunshelMesh™. Fuel tanks, fuel tankers, aircraft and electronic device batteries are among an inexhaustible number of applications which would benefit from the inclusion of TunshelMesh™. It would also suppress engine exhaust noise, as well as gun fire rifling, exit point, high temperature. Avoidance of explosion or

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

Fortified, defensive conctruction and earthquake protection building foundations will all be formulated of 4 fundamental materials elements. Concrete Milled, reclaimed consumer car tyre rubber, to course sand consistency Low malleability, copper carbide reinforcement reo mesh and reo bar. Mortar will be conctrete and fine milled, reclaimed tyre rubber, to Australian beach sand consistency. Bricks can be painted or the structure can be rendered. To ascertain the correct ratios

Use of the radioactively poisonous artillery shells or whole tungsten volume shells in warfare is indefensible and abhorrent. TunshelArmour™ Armour outer plating would be served well by tungsten coated steel with Nular paneling and an final, inner plate layer of conventional steel, sink bolted together. An exoframe of tungsten coated steel covers the seams of the outer plating and adds structural support. The plates should be held together by sink bolts made of a harder carbi

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

Benefits of Coherence and Decoherence of Metal in Thermovoltaic Power Generation Thermoelectric power is what sustains electric storms over the duration of up to a full day. Coherent Metal Coherent metal is Unstretched metal - i.e. non-malleated and non-ducted metal Slowly cooled metal - generally cooled in a higher temperature atmosphere, just above the molten metal temperature and very low pressure (partial vacuum - or under reverse air compressor influence). This is known

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

Technical Proposal All power generation and work circuitry should operated via a unique/private power network to prevent power, quantum leakage. Power will always depend on some sort of change of potential to generate. Constant change comes from cyclical change or specifically, wave dynamics in momentum. It may offer an industrial level of renewable power production at markedly accessible entry cost. The generator rigging may be multi-tiered. Marine waves are ionic, and they

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

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

Carbide Codicil to the Xerqon Intellectual Property Agreement Metal carbides (Carbide) may not be produced outside of a Xerqon issued contract of sale pursuant to the marketing or production of Carbide. Xerqon prohibits the marketing of Carbide for offensive hardware of warfare in any of its strike capability forms. Carbide may be used for any other form of defensive military faclities or hardware. The production or use of Carbide for artillery or ordnance is strictly forbidd

‘i' and ‘j’ Solved as Matinga's Number Dedicated to the memory of my dear daughter, Annabelle (Jonas) Matinga (2001-2024) 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 Pty Ltd 2026

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] ) )

The Natural Distribution Function is a correction of the Normal Distribution Function. The shape of the originally accepted curve assumes an infinite axial base, rather than a finite axial breadth. That breadth is related to one sample magnitude. Nature’s forces and related fields all evolve to displace matter according to square functions or simply parabolically distributed dimensions. It is the assumption of an infinite horizontal axis which leads to the distorted (stretche