On Functions with a Conjugate

Harmonic functions of two variables are exactly those that admit a conjugate, namely a function whose gradient has the same length and is everywhere orthogonal to the gradient of the original function. We show that there are also partial differential equations controlling the functions of three variables that admit a conjugate.Comment: To appear: Annales de l'Institut Fourier, vol. 64 (2014

CR geometry and conformal foliations

We use the CR geometry of the standard hyperquadric in ℂP3 to give a detailed twistor description of conformal foliations in Euclidean 3-space

Can you resonate with prototypical brand extensions?

Brand prototypicality is an area that has had limited research in the past. With brand extensions becoming more and more relevant in the market, it is important to know how prototypical brands can extend their brand. Further, there is a lack of research that examines brand resonance, specifically in regards to prototypicality. This study replicates and expands upon previous research methodologies (Grhan-Canli & Maheswaran 1998; Matthiesen & Phau 2005). Using an experimental study, a 3 (congruency) x 2 (typicality) x 2 (motivation) x 2 (brand type) factorial design was developed. Preliminary research chose a brand category of watches, with four real brands. The research will create a uni-dimensional prototypicality scale to use as a manipulation device for the current study, and will be the first to provide a measure for prototypical brands

Cross-sectional study of risky substance use by injured emergency department patients

INTRODUCTION: Survey data regarding the prevalence of risky substance use in the emergency department (ED) is not consistent. The objective of this study was to identify the prevalence of risky substance use among injured ED patients based on the Alcohol, Smoking and Substance Involvement Screening Test (ASSIST v3.0). A secondary objective was to report on the feasibility of administering the ASSIST to this population, based on the time to conduct screening. METHODS: This cross-sectional study used screening data from a randomized controlled trial. Injured ED patients completed the ASSIST on a tablet computer, and an ASSIST score was computed that indicated the need for a brief or intensive treatment intervention (risky use) for alcohol and other substances. For a subsample, data on time to complete each step of screening was recorded. RESULTS: Between July 2010 and March 2013, 5,695 patients completed the ASSIST. Most (92%) reported lifetime use of at least one substance and 51% reported current risky use of at least one substance. Mean time to complete the ASSIST was 5.4 minutes and screening was considered feasible even when paused for clinical care to proceed. CONCLUSION: Estimates of risky substance use based on the ASSIST in our large sample of injured ED patients were higher than previously reported in other studies of ED patients, possibly due to the current focus on an injured population. In addition, it was feasible to administer the ASSIST to patients in the course of their clinical care.Published versio

Effects of Product Prototypicality on Brand Resonance in Brand Extensions

This study investigates whether differing degrees of prototypical brands and brands that are either functional or symbolic in nature can undertake brand extensions, and if so, to what degree of congruency. The research uses a factorial design of 3 (congruency) x 2 (prototypicality) x 2 (motivation) x 2 (brand type) using four real brands. The study also creates a uni-dimensional prototypicality scale which is the first to provide a Likert type measure for prototypical brands

An Analysis of Muon Neutrino Disappearance from the NuMI Beam Using an Optimal Track Fitter

Thesis (Ph.D.) - Indiana University, Physics, 2015The NOvA experiment is a long-baseline neutrino oscillation experiment based out of Fermilab National Accelerator Laboratory that uses two liquid scintillator detectors, one at Fermilab (the "near" detector) and a second 14 kton detector in northern Minnesota (the "far" detector.) The primary physics goals of the NOvA experiment are to measure neutrino mixing parameters through both the $\nu_{\mu}$ disappearance and $\nu_{e}$ appearance channels using neutrinos from the newly upgraded NuMI beam line. The NOvA $\nu_{\mu}$ disappearance analysis can significantly improve the world's best measurement of $\sin^{2}\theta_{23}$. This analysis proceeds by using the measured $\nu_{\mu}$ charged-current energy spectrum in the near detector to predict the spectrum in the far detector, and comparing this to the measured spectrum to obtain a best fit for the oscillation parameters $\sin^{2}\theta_{23}$ and $\Delta m^{2}_{32}$. Since this fit is governed by the shape of the energy spectrum, the best fit will be maximized by obtaining the best possible energy resolution for the individual neutrino events. This dissertation describes an alternate $\nu_{\mu}$ disappearance analysis technique for the NOvA experiment, based on the idea that estimating the energy resolution of the individual events will allow them to be separated into different energy resolution samples in order to improve the final fit. This involves using an optimal tracker to reconstruct particle tracks and momenta, and multivariate methods for estimating the event energies and energy resolutions. The data used for this analysis was taken by the NOvA experiment from February 2014 to May 2015, representing approximately $3.52 \times 10^{20}$ protons on target from the NuMI beam. The best fit oscillation parameters obtained by this alternate technique are $|\Delta m^{2}_{32}| = 2.49^{+0.19}_{-0.17}$~$[\times 10^{-3} {\rm eV}^{2}]$ and $\sin^{2} \theta_{23} =$~$0.51 \pm 0.08$ which is consistent with the hypothesis of maximal mixing, and with the results from T2K and MINOS+ published in 2015

A conceptual analysis of the effects of product prototypicality on brand resonance in brand extensions

Brand prototypicality is an area that has had limited research in the past. With brand extensions becoming more and more relevant in the market, it is important to know how prototypical brands can extend their brand. Further, there is a lack of research that examines brand resonance, specifically in regards to prototypicality. Thus, this study will examine the prototypicality on brand resonance of brand extensions. The study has three overriding research questions, as follows; 1) What impact does congruency of extension fit and parent brand prototypicality have on the enhancement or dilution of brand resonance, 2) To what extent does consumers' level of motivation processing moderate the enhancement or dilution of brand resonance, and 3) How does a functional (symbolic) parent brand influence the congruency of extension fit, parent brand prototypicality, and the moderating role of motivation processing on the enhancement or dilution of brand resonance

Changing drinking behaviour: the mediating effects of satisfaction on consumption experiences and readiness to change

This study applies the disconfirmation of expectations paradigm to explain what makes the consumption of sin products (high risk alcohol consumption) a satisfactory or unsatisfactory experience. It further tests if it affects readiness to change behaviour. It illustrates that disconfirmation of expectations should focus on consumption outcomes as they motivate customers to consume products and services. Furthermore, both positive and negative outcome expectancies should be included. The alcohol expectancy literature offers operational definitions of positive and negative outcome expectancies. However, alcohol expectancy studies do not use the disconfirmation paradigm to explain high risk drinking behaviours, even though disconfirmation of expectations have been shown to be a better predictor of customer satisfaction and behavioural intentions than customer expectations. Data gained via convenience sampling of undergraduate students from all divisions within a large Australian University provided a usable sample size of 462. The results and analysis illustrate a very distinct separation of four positive outcome expectation factors and four negative outcome expectation factors. These findings are discussed with implications highlighted for theorists, marketers and social policy makers