5,121 research outputs found
Learning Design: reflections on a snapshot of the current landscape
The mounting wealth of open and readily available information and the swift evolution of social, mobile and creative technologies warrant a re-conceptualisation of the role of educators: from providers of knowledge to designers of learning. This need is being addressed by a growing trend of research in Learning Design. Responding to this trend, the Art and Science of Learning Design workshop brought together leading voices in the field and provided a forum for discussing its key issues. It focused on three thematic axes: practices and methods, tools and resources, and theoretical frameworks. This paper reviews some definitions of Learning Design and then summarises the main contributions to the workshop. Drawing upon these, we identify three key challenges for Learning Design that suggest directions for future research
Point processes associated with stationary stable processes
Point processes associated with stationary stable processe
Rational Trust Modeling
Trust models are widely used in various computer science disciplines. The
main purpose of a trust model is to continuously measure trustworthiness of a
set of entities based on their behaviors. In this article, the novel notion of
"rational trust modeling" is introduced by bridging trust management and game
theory. Note that trust models/reputation systems have been used in game theory
(e.g., repeated games) for a long time, however, game theory has not been
utilized in the process of trust model construction; this is where the novelty
of our approach comes from. In our proposed setting, the designer of a trust
model assumes that the players who intend to utilize the model are
rational/selfish, i.e., they decide to become trustworthy or untrustworthy
based on the utility that they can gain. In other words, the players are
incentivized (or penalized) by the model itself to act properly. The problem of
trust management can be then approached by game theoretical analyses and
solution concepts such as Nash equilibrium. Although rationality might be
built-in in some existing trust models, we intend to formalize the notion of
rational trust modeling from the designer's perspective. This approach will
result in two fascinating outcomes. First of all, the designer of a trust model
can incentivise trustworthiness in the first place by incorporating proper
parameters into the trust function, which can be later utilized among selfish
players in strategic trust-based interactions (e.g., e-commerce scenarios).
Furthermore, using a rational trust model, we can prevent many well-known
attacks on trust models. These two prominent properties also help us to predict
behavior of the players in subsequent steps by game theoretical analyses
Asymptotics of Random Contractions
In this paper we discuss the asymptotic behaviour of random contractions
, where , with distribution function , is a positive random
variable independent of . Random contractions appear naturally in
insurance and finance. Our principal contribution is the derivation of the tail
asymptotics of assuming that is in the max-domain of attraction of an
extreme value distribution and the distribution function of satisfies a
regular variation property. We apply our result to derive the asymptotics of
the probability of ruin for a particular discrete-time risk model. Further we
quantify in our asymptotic setting the effect of the random scaling on the
Conditional Tail Expectations, risk aggregation, and derive the joint
asymptotic distribution of linear combinations of random contractions.Comment: 25 page
First exit times of solutions of stochastic differential equations driven by multiplicative Levy noise with heavy tails
In this paper we study first exit times from a bounded domain of a gradient
dynamical system perturbed by a small multiplicative
L\'evy noise with heavy tails. A special attention is paid to the way the
multiplicative noise is introduced. In particular we determine the asymptotics
of the first exit time of solutions of It\^o, Stratonovich and Marcus canonical
SDEs.Comment: 19 pages, 2 figure
Moments of inertia for solids of revolution and variational methods
We present some formulae for the moments of inertia of homogeneous solids of
revolution in terms of the functions that generate the solids. The development
of these expressions exploits the cylindrical symmetry of these objects, and
avoids the explicit use of multiple integration, providing an easy and
pedagogical approach. The explicit use of the functions that generate the solid
gives the possibility of writing the moment of inertia as a functional, which
in turn allows us to utilize the calculus of variations to obtain a new insight
into some properties of this fundamental quantity. In particular, minimization
of moments of inertia under certain restrictions is possible by using
variational methods.Comment: 6 pages, 6 figures, LaTeX2e. Two paragraphs added. Minor typos
corrected. Version to appear in European Journal of Physic
The cubic period-distance relation for the Kater reversible pendulum
We describe the correct cubic relation between the mass configuration of a
Kater reversible pendulum and its period of oscillation. From an analysis of
its solutions we conclude that there could be as many as three distinct mass
configurations for which the periods of small oscillations about the two pivots
of the pendulum have the same value. We also discuss a real compound Kater
pendulum that realizes this property.Comment: 25 pages 4figure
About Gravitomagnetism
The gravitomagnetic field is the force exerted by a moving body on the basis
of the intriguing interplay between geometry and dynamics which is the analog
to the magnetic field of a moving charged body in electromagnetism. The
existence of such a field has been demonstrated based on special relativity
approach and also by special relativity plus the gravitational time dilation
for two different cases, a moving infinite line and a uniformly moving point
mass, respectively. We treat these two approaches when the applied cases are
switched while appropriate key points are employed. Thus, we demonstrate that
the strength of the resulted gravitomagnetic field in the latter approach is
twice the former. Then, we also discuss the full linearized general relativity
and show that it should give the same strength for gravitomagnetic field as the
latter approach. Hence, through an exact analogy with the electrodynamic
equations, we present an argument in order to indicate the best definition
amongst those considered in this issue in the literature. Finally, we
investigate the gravitomagnetic effects and consequences of different
definitions on the geodesic equation including the second order approximation
terms.Comment: 16 pages, a few amendments have been performed and a new section has
been adde
An Analysis of Confidence Levels in Athletic Training Students during the Coronavirus Pandemic
International Journal of Exercise Science 16(3): 1284-1292, 2023. Background: The COVID-19 pandemic created a challenge to athletic training students, with many classes converted to online education, and many clinical experiences interrupted. These changes may have negatively affected the confidence level of athletic training students in their athletic training skills. Purpose: To determine if athletic training students’ educational experiences during the COVID-19 pandemic have impacted their confidence levels in completing athletic training skills. Procedures: A cross-sectional design using an online survey of 56 athletic training students from 33 CAATE accredited athletic training programs was used. The survey consisted of questions about the percentage of online learning, didactically and clinically, during the pandemic and confidence levels for skills within the five athletic training domains. Descriptive statistics were calculated, and factorial ANOVAs were used to analyze the level of confidence by semester of clinical experience. Main Findings: Factorial ANOVA demonstrated lower perceived confidence levels for students who had more online clinical experience for the following domains: injury and illness prevention and wellness promotion, therapeutic intervention, and healthcare administration and professional responsibility. Confidence was also lower in correctly performing the clinical skills for evaluating spine and torso, developing and implementing a rehabilitation program for the lower extremity, and developing and implementing a rehabilitation program for the back. Principal Conclusion: Athletic training students who had large portion of their clinical and classroom experience online had perceived lower levels of confidence in performing clinical and administrative skills. Online learning may influence athletic training students’ confidence level in performing athletic training skills
Estimation of conditional laws given an extreme component
Let be a bivariate random vector. The estimation of a probability of
the form is challenging when is large, and a
fruitful approach consists in studying, if it exists, the limiting conditional
distribution of the random vector , suitably normalized, given that
is large. There already exists a wide literature on bivariate models for which
this limiting distribution exists. In this paper, a statistical analysis of
this problem is done. Estimators of the limiting distribution (which is assumed
to exist) and the normalizing functions are provided, as well as an estimator
of the conditional quantile function when the conditioning event is extreme.
Consistency of the estimators is proved and a functional central limit theorem
for the estimator of the limiting distribution is obtained. The small sample
behavior of the estimator of the conditional quantile function is illustrated
through simulations.Comment: 32 pages, 5 figur
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