Introduction: High-performance MRI systems demand the use of digitally controlled switching gradient amplifiers (SGAs) that need complex electronic circuits and control algorithms to achieve not only good image quality but also good power efficiency [1-2]. Moreover, the imaging capabilities of clinical MRI system may be improved by the use of gradient insert coils that achieve gradient amplitud...

I compare two common techniques to compute matrix factorizations for recommender systems, specifically using the Netflix prize data set. Accuracy, run-time, and scalability are discussed for stochastic gradient descent and non-linear conjugate gradient.

introduction thermal processing has a huge impact on the textural attribute of the final food product and texture is a major factor contributing the overall quality of food. ohmic heating is an advanced thermal processing method in which heat is internally generated within foods by passing an alternating electric current through them. ohmic heating can volumetrically heat the entire mass of a f...

The existence of inertial manifolds for a Smoluchowski equation – a nonlinear Fokker-Planck equation on the unit sphere which arises in modeling of colloidal suspensions – is investigated. A nonlinear and nonlocal transformation is used to eliminate the gradient from the nonlinear term.

We study partial differential equations of Monge-Ampère type involving the derivates with respect to a family X of vector fields of Carnot type. The main result is a comparison principle among viscosity subsolutions, convex with respect to X , and viscosity supersolutions (in a weaker sense than usual), which implies the uniqueness of solution to the Dirichlet problem. Its assumptions include t...