Index # C! -sphere, 53 S! /D! group, 24-25 S! /D! isomorphism, 21 S!" /D!" group, 45-46 # S!" symmetry group, 315 S!$ /D!$ group, 25 W%(1) Lambert W function, 86 Y& , Y! generators, 311
A acceleration vector, 62 adjoint matrices, 44 adjugate, adj(M), 22 al-Haytham, 334 alternating harmonic series, 272-274 alternating inverse harmonic series, 275 alternating natural numbers, 274 Ampere’s law, 136 analytic continuation, 355 Angle Space Ring, 99 angle transformation, 101 angular frequency, 111, 277, 365-377, 390 anti-diagonal symmetry, 47, 312 anti-form, 371, 385, 425 anti-identity matrix, 312 antimatter, 371 antiproton, 371 anti-spacetime, 374 antisymmetric wedge product, 125 arc length, 104 arc segment distance, 103 arclength, 104 asymptote, 129-130 asymptotic cones, 137, 141-142 asymptotic functions, 134 asymptotic Lie algebra, e'(⁄) , 130 asymptotic light, 381-382, 389 asymptotic light algebras, 390 asymptotic light functions, 129, 138-139 Asymptotic Light Functions, 124 asymptotic light numbers, 413 Athena, 417 Athene noctua, 417 axis number determinants, 181 axis numbers, 171
B Baker-Campbell-Hausdorff formula, 269, 281 ball, n, 263
Basel problem, 276 Bessel function of the first kind, 279 bijection, 22 bijective, 48, 360 bilinearity, 31 binomial factorial series, 269 binomial theorem, 269 bivector, 125-131 bivector rotations, 138 Borel regularization, 274-275 boundary, 289
C cardioids, 357 Cartan algebra, 44-47, 168-169, 312, Cartesian coordinate system, 98 Cartesian plane, 98 Cartesian-to-polar form, 196 Cauchy-Riemann equations, 122-123 Cayley’s Theorem, 22, 188 characteristic polynomials, 187, 317-325, 331-332, 406 chiral Lie algebra, 192 chirality, 190 chirality change mapping, 193 chord distance, 157 chord matrices, 164 circle metric, 97 circular arcs, 108 circular curvature, 115 circular curvature - wave equation, 109 circular curve in the plane, 107 combinatorics, 269 commutative, 16, 53 commutativity, 75 commutator, 20 non-commutative, 20 commuting binomial theory, 269 complete inner product space, 38 complex angle space, 144 complex conic section, 197 complex conic space, 155 complex conjugate, 124, 132 complex curvature, 117- 119 complex powers, 20 complex signed curvature, 124 complex-angle space, 99-102 complex-angle space vectors, 101 complex-angled space sphere, 101 complex-differentiable, 122 composite number, 344 cone equation, 155 cone function spirals, 205 Cone Group, 166 cone number determinants, 180 cone number elements, 178 cone number geometry, 166 cone number permutation matrices, 169 cone numbers, 176, 191, 394 cone section generator, 414