We prove that the anisotropic generating function of self-avoiding polygons is not a D-finite function—proving a conjecture of Guttmann [Discrete Math. 217 (2000) 167–189] and Guttman and Enting [Phys. Rev. Lett. 76 (1996) 344–347]. This result is also generalised to self-avoiding polygons on hypercubic lattices. Using the haruspicy techniques developed in an earlier paper [Rechnitzer, Adv. App...

The history of anthropology reflects a sometimes contentious dynamic between the study of unique cultural features and ones that are broadly shared across cultures, indeed so broadly shared that scholars have identified some as regularly recurring social formations. One aspect of the contention between these two areas of study is that the study of recurrent social formations has been marred by ...

Volume renderings from magnetic resonance imaging data can be created and displayed in real-time with user interactivity. This can provide continuous 3D feedback to assist in guiding an interventional procedure. A system is presented which can produce real-time volume renderings from 2D multi-slice or 3D MR pulse sequences. Imaging frame rates up to 30 per second have been demonstrated with a l...

Building on the theoretical work of Louis Guttman, we propose that the core problem facing research into the multidimensional structure of the personality disorders is not the identification of factorial simple structure but rather detailed characterization of the multivariate configuration of the diagnostic criteria. Dimensions rotated to orthogonal or oblique simple structure are but one way ...

Accepted for Publication: March 18, 2012. Author Affiliations: Prevention Research Center, Department of Biobehavioral Health (Drs Mallett and Turrisi and Mss Comer, Read, Varvil-Weld, Favero, and Guttman), and Department of Dermatology (Dr Billingsley), Milton S. Hershey Medical Center, The Pennsylvania State University, State College; Department of Dermatology, Feinberg School of Medicine, No...

The subject of factor indeterminacy has a vast history in factor analysis (Wilson, 1928; Lederman, 1938, Guttman, 1955). It has lead to strong differences in opinion (Steiger, 1979). The current paper gives necessary and sufficient conditions for observability of factors in terms of the parameter matrices and a finite number of variables. Five conditions are given which rigorously define indete...

Mitchell received a bachelor's degree in molecular and computational biology and a master's degree in computational biology and bioinformatics from the University of Pennsylvania. He then joined the laboratory of Eric Lander at the Broad Institute of MIT and Harvard and was awarded his PhD in 2012. The same year he was named in the Forbes '30 under 30: science and healthcare' list of rising sta...

The philosophy of measurement in the social and behavioral sciences is seen (from without) as typically following the representational viewpoint. However, in practice, this is not the case for the great majority of measures that are developed in this area. The paper surveys several approaches to measurement in the social sciences (i.e., Classical Test Theory, Guttman Scaling, Item Response Theo...