A heated hairstyling clip, optionally with heat-transfer accessories, is provided for rapid informal hair styling. Another embodiment provides a synthetic jet actuator in which a pair of bimorph piezoelectric plates are connected by a flexible hinge. The computer system transacts each like-kind exchange such that at least one property to be relinquished is exchanged for at least one like-kind replacement property wherein the exchange is transacted between a taxpayer, at least one relinquishment property receiver, and at least one replacement property provider. A fluid below about 80 degrees Fahrenheit is released into the hollow so as to cool the material and to assist in solidification. An elongate drive shaft extends from an engine mounted fore of the concavity to the impeller.