IFSM representation of Brownian motion with applications to simulation

Several methods are currently available to simulate paths of the Brownian motion. In particular, paths of the BM can be simulated using the properties of the increments of the process like in the Euler scheme, or as the limit of a random walk or via L2 decomposition like the Kac-Siegert/Karnounen-Loeve series. In this paper we first propose a IFSM (Iterated Function Systems with Maps) operator whose fixed point is the trajectory of the BM. We then use this representation of the process to simulate its trajectories. The resulting simulated trajectories are self-affine, continuous and fractal by construction. This fact produces more realistic trajectories than other schemes in the sense that their geometry is closer to the one of the true BM's trajectories. The IFSM trajectory of the BM can then be used to generate more realistic solutions of stochastic differential equations

TEACHING THE BIOGRAPHY OF PEARL S. BUCK: DEVELOPING COLLABORATIVE READING STRATEGIES FOR MULTILINGUAL WRITERS

The present study is action research with a narrative inquiry approach, and seeks to determine the benefits and challenges of using a collaborative method to teach reading comprehension strategies in English 112: Composition for Multilingual Students. As Kenneth Bruffee (1984; 1991), Margaret Mount (2014), Chiu-Hsin Lin (2007) and others have determined, there are many challenges English language learners face when reading college-level texts. This study sought to determine whether the use of collaboration would facilitate the learning of reading strategies and self-monitoring of reading skills. Ten students participated in this study, including nine undergraduate students and one graduate-level Saudi teaching assistant. Students in the English 112 class received direct instruction on a number of reading strategies and worked collaboratively to break down complex texts. The research for this course was completed over 11 weeks during the 2017 winter quarter at EWU. Throughout the course, journals and essays related to reading strategies were assigned. 54 responses were collected to determine: a) challenges multilingual students face when encountering intermediate to advanced-level texts used in the college writing classroom, b) what students have already been taught about reading strategies, and c) how well multilingual students apply what they have been taught about reading strategies—both prior to and during English 112, as well as d) information about the value and usefulness of collaboration in English classrooms across cultures. Direct instruction of reading comprehension strategies provided several benefits for learners who were anxious about reading college-level texts. This approach encouraged self-awareness, self-assessment of reading skills, and plans for self-study. In addition, the use of collaboration fostered community, engagement, and cross-cultural exchanges

Relational quality: Managing trust in corporate alliances

The management literature has often argued that "trust" plays a key role in economic exchanges, particularly when one or another party is subject to the risk of opportunistic behaviour and incomplete monitoring, or when problems due to moral hazard or asymmetric information arise. These conditions are almost always present in the case of corporate alliances and joint ventures. We propose that one aspect of trust, what we call "relational quality", is fundamental to the maintenance of good working conditions in two-party alliances where past experience and the shadow of the future play important roles. Relying on a growing body of theory and a number of case studies, we develop a framework for thinking about trust in dynamic and practical terms. We conclude that a reservoir of relational quality exists in any such relationship, and that the level of trust implied in such a reservoir will not only influence whether and how future conflicts are resolved, but also is itself affected by the positive (or negative) resolution of such conflicts. Finally, we identify three elements that contribute to the relational quality reservoir in alliances: 1) the initial conditions surrounding the alliance formation; 2) the cumulative experience of the parties with each others' behaviours as the alliance unfolds; and 3) the impact that external events or behaviours outside the alliance's context have on the perceptions and attitudes the parties have about each other's trustworthiness. We conclude with some recommendations for more effective management of corporate alliances.corporate alliances; economic exchanges; monitoring;

A 6 kV–150 A, 8 ns rise time pulse generator for excitation of ferroelectric cathodes

A pulse generator with the following characteristics is presented: the voltage ranges in the interval 0.1–6 kV, the maximum delivered current is 150 A, the pulse length ranges within the interval 100–300 ns, the rise time and the decay times are, respectively, 10 and 25 ns on 50 Ω resistive load and the repetition rate is higher than 1 MHz. The circuit has a source capacitor of 10 nF charged at the needed voltage, the capacitor feeds the load through a parallel of two fast and high voltage solid state switches. The nanosecond rise time and the square fashion of the pulse have been accomplished arranging all the components in cylindrical symmetry. A bipolar pulse is obtained coupling two circuits with opposite polarity

EPR before EPR: a 1930 Einstein-Bohr thought experiment revisited

In 1930 Einstein argued against consistency of the time-energy uncertainty relation by discussing a thought experiment involving a measurement of mass of the box which emitted a photon. Bohr seemingly triumphed over Einstein by arguing that the Einstein's own general theory of relativity saves the consistency of quantum mechanics. We revisit this thought experiment from a modern point of view at a level suitable for undergraduate readership and find that neither Einstein nor Bohr was right. Instead, this thought experiment should be thought of as an early example of a system demonstrating nonlocal "EPR" quantum correlations, five years before the famous Einstein-Podolsky-Rosen paper.Comment: 11 pages, revised, accepted for publication in Eur. J. Phy