In this paper we study general Schatten-p quasi-norm (SPQN) regularized matrix minimization problems. In particular, we first introduce a class of first-order stationary points for them, and show that the first-order stationary points introduced in [11] for an SPQN regularized vector minimization problem are equivalent to those of an SPQN regularized matrix minimization reformulation. We also s...

We introduce a ‘‘structure minimization’’ technique to resolve the azimuthal ambiguity of 180 , intrinsic in solar vector magnetic field measurements. We resolve the 180 ambiguity by minimizing the inhomogeneities of the magnetic field strength perpendicular to the magnetic field vector. This relates to a minimization of the sheath currents that envelope the solar magnetic flux tubes, thus allo...

For many sporting activities, initial speed rather than maximal speed would be considered of greater importance to successful performance. The purpose of this study was to identify the relationship between strength and power and measures of first-step quickness (5-m time), acceleration (10-m time), and maximal speed (30-m time). The maximal strength (3 repetition maximum [3RM]), power (30-kg ju...

OBJECTIVE To determine the effect of a new implantable 2-channel peroneal nerve stimulator on walking speed and daily activities, in comparison with the usual treatment in chronic stroke survivors with a drop foot. DESIGN Randomized controlled trial. SETTING All subjects were measured 5 times in the gait laboratory. PARTICIPANTS Twenty-nine stroke survivors with chronic hemiplegia with dr...

BACKGROUND AND PURPOSE Drop foot after stroke may be addressed using an ankle foot orthosis (AFO) or a foot drop stimulator (FDS). The Functional Ambulation: Standard Treatment versus Electric Stimulation Therapy (FASTEST) trial was a multicenter, randomized, single-blinded trial comparing FDS and AFO for drop foot among people ≥ 3 months after stroke with gait speed ≤ 0.8 m/s. METHODS Partic...

We consider the minimization problem of functional given by sum fractional perimeter and a general Riesz potential, which is one generalization Gamow’s liquid drop model. first show existence minimizers for any volumes if kernel potential decays faster than that perimeter. also prove generalized just vanishes at infinity. Finally, we study asymptotic behavior when volume goes to infinity sequen...

In this paper, the design and implementation of adaptive speed controller for a sensorless synchronous reluctance motor (SynRM) drive system is proposed. A combination of well-known adaptive input-output feedback linearization (AIOFL) and adaptive backstepping (ABS) techniques are used for speed tracking control of SynRM. The AIOFL controller is capable of estimating motor two-axis inductances ...