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