Navigation

(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

Analysis θ = x, θ = ω * t Φ = h A = a * sin ( x + h ) A = a * sin ( ω * t + h ) ---> units of m Vectoring is both mathematics and then physics, once the time variable replaces part of the primary mathematical dependent variable, x. ω is a coefficient or constant. The vectoring indicated is linear vectoring. For a plane, the algorithm is A = a * ( a [ i ] * sin ( ω [ i ] * t + h [ i ] ) + a [ i + 1 ] * sin ( ω [ i + 1 ] * t + h [ i + 1 ] + Pi/2 rad) ) For a volume, si

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 (