31. Because they are fermions the anti-commutators of the Jordan algebra become commutators . 32. The negative aspect is the maintenance and short life problems caused by the commutator . 33. The Lie bracket is given by the commutator . 34. This is an unavoidable consequence of the operator algebra, in particular the commutator : 35. The largest of equipment can include a lathe turning attachment directly over the commutator . 36. However, for fermions the mathematics is different, involving anticommutators instead of commutators . 37. The commutators of the generators of this group determine the algebra of the group. 38. The term that still need to be evaluated is the braket involving the commutator . 39. Traditional electrical commutators use slip rings for coupling. 40. The brushes can now bridge two adjacent commutator segments without causing a short circuit.
