Warhammer 40,000: Regicide being a Rook), with the abilities and equipment it will receive in the Regicide battle mode, it will not necessarily have the same rules as a Rook. The Space Marine faction is represented by the red-armoured Blood Angels Chapter. The Space Marine Captain assumes the role of the 'King' in chess. The longer he stays alive the more hardened his remaining force becomes, and can call in bombardments. The Librarian assumes the role of the 'Queen' in chess. Being a Psyker, he can drain the life-force from foes, and shatter the minds of weakened enemies. The Terminator assumes the role
Conformal Killing equation Conformal Killing equation In conformal geometry, the conformal Killing equation on a manifold of space-dimension "n" with metric formula_1 describes those vector fields formula_2 which preserve formula_1 up to scale, i.e. for some function formula_5 (where formula_6 is the Lie derivative). Vector fields that satisfy the conformal Killing equation are exactly those vector fields whose flow preserves the conformal structure of the manifold. The name Killing refers to Wilhelm Killing, who first investigated the Killing equation for vector fields that preserve a Riemannian metric. By taking the trace we find that necessarily formula_7. Therefore we can write the conformal Killing