Abstract: An electric machine includes a stator and a rotor energizable by magnetic fields produced by the stator when receiving a stator current to produce relative motion between the rotor and the stator. A controller is configured to send the stator current through the stator at a current angle measured from the closest one of a pole of the rotor, determine a desired operational output of the electric machine, and determine a desired rotor motion corresponding to the desired operational output of the electric machine. The controller is further configured to calculate a vector control modulation applied to the stator that elicits the desired rotor motion, and adjust the current angle of the stator current based on the vector control modulation to cause the rotor to perform the desired rotor motion and achieve the desired operational output of the electric machine.

Abstract: A machine and process for making and for using a machine. The process includes receiving, by the computer over a network, a notification of a payment comprising an amount of cryptocurrency and a first cryptocurrency address, and effectuating, by the computer, the purchase by using the amount and the cryptocurrency address from which a first public key can be derived, and applying the computer system to verifying that a digitally represented human or entity purporting to have made a purchase with cryptocurrency is entitled to obtain value for the purchase.

Abstract: A machine and process for making and for using a machine. The process includes receiving, by the computer over a network, a notification of a payment comprising an amount of cryptocurrency and a first cryptocurrency address, and effectuating, by the computer, the purchase by using the amount and the cryptocurrency address from which a first public key can be derived, and applying the computer system to verifying that a digitally represented human or entity purporting to have made a purchase with cryptocurrency is entitled to obtain value for the purchase.