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This note provides a direct method for obtaining Lagrange's equations describing the rotational motion of a rigid body in terms of quaternions by using the so-called fundamental equation of constrained motion.
The long QT syndrome (LQTS) is caused by delayed cardiac repolarisation and may be associated with ventricular arrhythmias (torsades de pointes) and sudden death. The congenital LQTS is caused by mutations in any one of many genes coding for ion channels responsible for cardiac repolarisation. The acquired LQTS is much more common and may be associated with… (More)
This paper presents results for digitally locking an experimental optical cavity. Locking an optical cavity refers to the process of matching the resonant frequency of the cavity with the input laser frequency in order to facilitate maximum energy build-up inside the cavity. The cavity used in this paper is a three-mirror ring cavity with a piezo actuator… (More)