Proceedings of the Royal Society of Edinburgh: Mathematical and physical sciences. Section A

algebra anti-commutation apeirons applied arbitrary atoms average number axiom C₁ calculated Chebyshev Polynomials clock co-ordinates commutation commutation laws complex conic considered constant convergent corresponding covariant curve defined denotes density determined distribution Edin electromagnetic electron elements energy equivalent expression factor factor x field components field equations finite follows formula fundamental quadric given gravitational harmonic Hence idempotent instant integral k₁ Klein quartic Lagrangian Lamé functions Lamé polynomials laws linear linearly independent lxii matrix means method momentum observer obtained outpolar paper particles partitioned permutations plane Plücker co-ordinates polar postulate problem Proc properties q-number quadric quantisation quantum quantum mechanics quartic regraduation relation relativity representation respect result Riemann tensor satisfies scalar solution space space-time submatrices Theorem theory transformation V₁ values vanish variance vector velocity Veronese surface wave-vector zero