When modeling student learning, tutors that use the Knowledge Tracing framework often assume that all students have the same set of model parameters. We find that when fitting parameters to individual students, there is significant variation among the individual’s parameters. We examine if this variation is important in terms of instructional decisions by computing the difference in the expecte...

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. We show that the absorption coefficient and the spatial component of the scattering coefficient are uniquely determined by such measurements. We obtain stability resul...

Positron annihilation Dopplerbroadening measurements were carried out on Cu-Al-Ni based alloys to which Ti, and Ti and Mn was added. The measurements reveal a drastic effect in the S-parameter behavior when the defects anneal out at the transition from martensite to the beta phase. When crossing the transition region several times, an increase of the S-parameter value is observed. This is inter...

The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrijdinger equation d2$/dx2 + k211, = k2P(x)II, + Q(x)Jt with an added potential proportional to energy. The scattering and bound-state solutions of this equation are studied and the properties of the ...

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. We show that the absorption coefficient and the spatial component of the scattering coefficient are uniquely determined by such measurements. We obtain stability resul...

0031-9007= In this Letter, we show that upper limits on the neutrino mass translate into upper limits on the class of neutrino-matter interactions that can generate loop corrections to the neutrino mass matrix. We apply our results to and decays and derive model-independent limits on six of the ten parameters used to parametrize contributions to decay that do not belong to the standard model. T...

Luc Demortier The Rockefeller University, New York, NY 10021, U.S.A. Abstract The standard Bayesian treatment of systematic uncertainties is to integrate out the corresponding nuisance parameters from the joint posterior density for all parameters. We apply this formalism to measurements in which the data cannot distinguish between nuisance parameters and parameters of interest, and show that i...

Freezing of gait (FoG) is a motor impairment among patients with advanced Parkinson’s disease which is associated with falls and has a negative impact on a patient’s quality of life. Wearable systems have been developed to detect FoG and to help patients resume walking by means of rhythmical cueing. A step further is to predict the FoG and start cueing a few seconds before it happens, which mig...

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. Such measurement settings find applications in medical and geophysical imaging. We show that the absorption coefficient and the spatial component of the scattering coe...

The article presents an outline of the requirements concerning the planning of preclinical and clinical studies, necessary for the legal approval of a medicinal product. It describes the clinical research plan of innovative and generic pharmaceutical products, taking into account the specific situations in which the assessment of biological equivalence of a generic product is not possible based...