Regicide of criminology asserts that the punishment "should fit the crime", and should thus be proportionate and not extreme. This approach was spoofed by Gilbert and Sullivan, when The Mikado sang, ""My object all sublime, I shall achieve in time, to let the punishment fit the crime"". In common with earlier executions for regicides: In both the François Ravaillac and the Damiens cases, court papers refer to the offenders as a patricide, rather than as regicide, which lets one deduce that, through divine right, the king was also regarded as "Father of the country". Regicide The broad definition of regicide (
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