Finding the point on Bezier Curves with the normal vector passing an external point

Two algorithms for finding the point on non-rational/rational Bezier curves of which the normal vector passes through a given external point are presented. The algorithms are based on Bezier curves generation algorithms of de Casteljau's algorithm for non-rational Bezier curve or Farin's recursion for rational Bezier curve, respectively. Orthogonal projections from the external point are used to guide the directional search used in the proposed iterative algorithms. Using Lyapunov's method, it is shown that each algorithm is able to converge to a local minimum for each case of non-rational/rational Bezier curves. It is also shown that on convergence the distance between the point on curves to the external point reaches a local minimum for both approaches. Illustrative examples are included to demonstrate the effectiveness of the proposed approaches.

Sociality and external validity in experimental economics

It is sometimes argued that experimental economists do not have to worry about external validity so long as the design sticks closely to a theoretical model. This position mistakes the model for the theory. As a result, applied economics designs often study phenomena distinct from their stated objects of inquiry. Because the implemented models are abstract, they may provide improbable analogues to their stated subject matter. This problem is exacerbated by the relational character of the social world, which also sets epistemic limits for the social science laboratory more generally.

Inflation dynamics in the new EU member states: how relevant are external factors?

In this paper we evaluate the relative influence of external versus domestic inflation drivers in the 12 new European Union (EU) member countries. Our empirical analysis is based on the New Keynesian Phillips Curve (NKPC) derived in Galí and Monacelli (2005) for small open economies (SOE). Employing the generalized method of moments (GMM), we find that the SOE NKPC is well supported in the new EU member states. We also find that the inflation process is dominated by domestic variables in the larger countries of our sample, whereas external variables are mostly relevant in the smaller countries.

Untitled (Abstraction of Labour Time/ External Recurrence/Monad)

Commissioned print. Artist of the Month Club: February, 2010. January Curator: Mark Beasley. Invisible Exports Gallery, New York. Archival Inkjet Print on metallic silver polyester, 841 x 643mm. Edition of 50 + 10ap. Subsequently exhibited in the following exhibition: 'A Unicorn Basking in the Light of Three Glowing Suns' The Devos Art Museum School of Art & Design at Northern Michigan University October 8 – November 14, 2010 Curated by Anthony Elms and Philip von Zweck

Simple model of adsorption on external surface of carbon nanotubes: a new analytical approach basing on molecular simulation data

Nitrogen adsorption on carbon nanotubes is wide- ly studied because nitrogen adsorption isotherm measurement is a standard method applied for porosity characterization. A further reason is that carbon nanotubes are potential adsorbents for separation of nitrogen from oxygen in air. The study presented here describes the results of GCMC simulations of nitrogen (three site model) adsorption on single and multi walled closed nanotubes. The results obtained are described by a new adsorption isotherm model proposed in this study. The model can be treated as the tube analogue of the GAB isotherm taking into account the lateral adsorbate-adsorbate interactions. We show that the model describes the simulated data satisfactorily. Next this new approach is applied for a description of experimental data measured on different commercially available (and characterized using HRTEM) carbon nanotubes. We show that generally a quite good fit is observed and therefore it is suggested that the observed mechanism of adsorption in the studied materials is mainly determined by adsorption on tubes separated at large distances, so the tubes behave almost independently.

Measuring perceived brand luxury: an evaluation of the BLI scale

This paper investigates the psychometric properties of Vigneron and Johnson's Brand Luxury Index scale. The authors developed the scale using data collected from a student sample in Australia. To validate the scale, the study reported in this paper uses data collected from Taiwanese luxury consumers. The scale was initially subjected to reliability analysis yielding low α values for two of its five proposed dimensions. Exploratory and confirmatory factors analyses were subsequently performed to examine the dimensionality of brand luxury. Discriminant and convergent validity tests highlight the need for further research into the dimensionality of the construct. Although the scale represents a good initial contribution to understanding brand luxury, in view of consumers' emerging shopping patterns, further investigation is warranted to establish the psychometric properties of the scale and its equivalence across cultures.

Researching from within: external and internal ethical engagement

This article examines the superficial and deep ethical and moral dilemmas confronting ‘insider’ researchers which we term external and internal ethical engagement. External ethical engagement refers to the traditional, easily identifiable ethical issues that insider researchers attend to by submitting their application for ethical approval to their institution’s internal review board. Internal ethical engagement relates to the deeper level ethical and moral dilemmas that insider researchers have to deal with once ‘in the field’ linked to on-going personal and professional relationships with participants, insider knowledge, conflicting professional and researcher roles, and anonymity. By reviewing the literature in this area and drawing on the authors’ experiences of undertaking interpretive studies at institutions where they were members of staff, we explore these concepts and examine the implications for insider researchers. Keywords: insider research; ethics; professional relationships; anonymity; access