In one embodiment of the invention, an apparatus for a juicer includes: a cutting chamber; a squeezing chamber adjacent to the cutting chamber; wherein the cutting chamber includes a cutter; and wherein the squeezing chamber includes a press. The radiation surfaces of at least two of the multiple frequency bands have a common region. The friction element is releasably attached to the backing plate using an arrangement of guide rails. At least one candidate travel solution is determined for each travel path based at least in part on the at least one time constraint. At least one of the one or more legs is angled away from the single plane of the main body. , a curve with a maximal endomorphism ring, is found in this isogeny class.