Functions and operators defined inside the program LORENTZ.RED To be used as a quick "reminder", not as a substitute of the comments and definitions in the main file. ARRAYS CO Iintroduces te coordinates name) LAME (introduces the Lame coefficients) RRC (Ricci rotation coefficients) PROCEDURES AND OPERATORS acomm (A,B) angle (rotation) axis (rotation) bar (A) "Clifford conjugate" bivect (6 arguments) bc , bp, uc, up (arguments of the axis, velocity) "boost and unitary bivector generators" bleft (Lorentz transformation) "gives the boost left factor" bpol , bcar bright(Lorentz transformation) "gives the boost right factor" cliffor(a) "full element with symbol a" clifforp(a) "even (or plus) element" clifform(a) "odd (or minus" element" col* (Lorentz transformation) "gives the columns of the 4x4 matrix" col**(Lorentz transformation) "gives the columns of the 6x6 matrix" comm (A,B) "the commutator" comm2 (A,B) "half the commutator" covder(x,y) "covariant derivative of the field x with respect the vector field y" degrees (rotation) efpart , mfpart , vpart, kpart "select a specific part of a multivector" gradsplit grade(x,k) "selects the k-order part" laplace (A) leftcar, leftpol, rightcar, rightpol lorentzmat(Lorentz transformation) "gives the 4x4 matrix" lorentzmat2(Lorentz transformation) "gives the 6x6 matrix 2-compound" mainvol (A) "main involution" mkidn "Auxiliary operator" nabla (A) pseudo (a) rapidity (boost) "gives its rapidity" rc, rp, nc, np (arguments of the axis, angle) "rotation and unitary bivector generators" rev (A) "reversion" rotpart (Lorentz transformation) "the rotation factor" rzxz, rzyz, rzyx (Euler angle conventions) signature thetab , thetar, phib, phir (polar coordinates for boost and rotation) trivect (a) u "name for the basis vectors, do not interfere with the number e" usergrad vect (a) veloc(boost) "gives the velocity in natural units" velok (boost) "gives the velocity in km/s " vvec (gives the velocity vector, in natural units) VARIABLES dg for degrees epsilon "an enough small quantity" f1 .... f4 generic space-time dependent multivector fields, with function components { a*,ef*,mf*,t*} kps for km/s matf1, .... matf4 "vector-column form for the generic space-time multivector components"