The Hamiltonian for n relativistic electrons without interaction but in a Coulomb potential is well known. If in this Hamiltonian we take r ′ u =r′, P ′ u =P′ with u=1,2,..., n, we obtain a one-body problem in a Coulomb field, but the appearance of n of the α u , u=1,..., n, each of which corresponds to spin $\tfrac{1}{2}$ , indicates that we may have spins up to (n/2). We analyze this last problem first by denoting the 4×4 (...) matrices α, β as direct products of 2×2 matrices which correspond to the ordinary spin, and a new concept, also related to the SU(2) group, which we call sign spin. In this new notation our problem depends on the sixteen generators of a U(4) group reduced along the chain Û(2)⊗Ŭ(2) sub-groups associated with the ordinary and sign spins. We now make a change of variables in our Hamiltonian so a term ε related to the frequency ω of an oscillator, which will be our variational parameter, appears in it, and later construct the full states of the problem with a harmonic oscillator of frequency 1 and ordinary and sign spin parts. Finally we obtain the matrix representation of our Hamiltonian with respect to the states mentioned and discuss the energy spectra of the problem where the partition {h} representing the irrep of U(4) and j the total angular momentum, take the values {h}=[1], j= $\tfrac{1}{2}$ ; {h}=[11], j=0; {h}=[2], j=0. (shrink)

Biomedical research has a strong impact on a country’s scientific-technological and socioeconomic development. It can make a significant contribution at three different levels: promotion of public health; the exchange of knowledge within the scientific community; and economic/ financial profitability. Africa only attracts ~3.3% of the world’s clinical research. This small proportion is due to, among several factors, the absence of two fundamental aspects: specific robust legislation and capacity for regulatory and ethical evaluation. There are five Portuguese- speaking African countries – (...) Angola, Cabo Verde, Guinea-Bissau, Mozambique and São Tomé and Príncipe. Despite presenting different degrees of clinical research development, these countries show a common serious insufficiency in the minimum conditions necessary for hosting, collaborating or leading biomedical research projects. These countries are also excluded from the support of international organisations for capacity building because of the language barrier. The Biomedical Ethics and Regulatory Capacity Building Partnership for Portuguese-Speaking African Countries project has developed methods to build capacity and partnership through research on national law, comparisons with international standards and by issuing recommendations at a national level. Through collaborative intensive training, trainees are taught to become educators at a national level. This, in turn, creates a sustainable impact at country level. BERC-Luso is a pioneering project, owing to a combination of innovative features. The partnership project: was developed exclusively in Portuguese; involves a large number of African countries, and national and international institutions; has been further enhanced by the diversity and complementarity of its action plans; and has also benefited from a broad participatory methodology based on resolution of recipients’ problems by the recipients themselves. It thus stands out as a model for similar future projects. (shrink)

This article describes key paradigms employed to assess deception and reviews the main neuroscience-based technologies that have been employed to investigate the neural correlates of deception: electroencephalography, functional magnetic resonance imaging, and transcranial direct current stimulation. Any potential use of neuroscience-based methods to detect deception in real-life situations requires successful classification in single subjects. It describes findings on the single subject performance of these methods and addresses the effects of two factors that are problematic for all deception detection methods, the (...) potential use of countermeasures, strategies used by subjects to defeat the deception detection tests, and the potential role of false memories and of incidental encoding. It briefly outlines some of the ethical issues associated with these technologies to detect deceptive behavior. (shrink)

Onderwerp en gezegde, door D. M. Bakker.--Enkele opmerkingen over het Godsbegrip van Justinus Martyr, door J. den Boeft.--Heidegger, Descartes, Luther, door J. van der Hoeven.--"Geschichtlichkeit" bij Carl Friedrich von Weizsäcker, door G. Horsman.--Menselijke ontmaskering en Bijbels démasqué , door R. Huson.--Kleine geschiedenis van het begrip "niets" in de antieke wijsbegeerte (tot e met de Sofisten en Plato), door P. A. Meijer.--De structuur van opvoeden en opvoedkunde, door J. W. Mojet.--Individualiteit in de fysica, door M. D. (...) Stafleu. (shrink)

Open peer commentary on the article “Second-Order Science: Logic, Strategies, Methods” by Stuart A. Umpleby. Upshot: The author makes a strong plea for second-order science but somehow mathematics remains out of focus. The major claim of this commentary is that second-order science requires second-order mathematics.

This volume focuses on the modeling of cognition, and brings together contributions from psychologists and researchers in the field of cognitive science.

J P White; Indoctrination, Journal of Philosophy of Education, Volume 4, Issue 1, 30 May 2006, Pages 107–120, https://doi.org/10.1111/j.1467-9752.1970.tb00429.x.

The classical wave-particle problem is resolved in accord with Newton's concept of the particle nature of light by associating particle density and flux with the classical wave energy density and flux. Point particles flowing along discrete trajectories yield interference and diffraction patterns, as illustrated by Young's double pinhole interference. Bound particle motion is prescribed by standing waves. Particle motion as a function of time is presented for the case of a “particle in a box.” Initial conditions uniquely determine the subsequent (...) motion. Some discussion regarding quantum theory is preseted. (shrink)

In August of 1971, President Nixon announced that the United States was “closing the gold window,” bringing an end to the postwar system of international exchange rate stability and precipitating a period of significant uncertainty and transformation in global institutions. Although this critical historical episode is important for an understanding of historical “neoliberalism” and institutional change, modern sociological perspectives have scarcely been applied to it. The present analysis uses archival data to show that closing the gold window was never the (...) goal or preferred strategy of the Nixon administration, which had spent years preparing much more modest reforms. Nevertheless, US policymakers took this unilateral action as a contingency plan to achieve a short-term goal, knowing that it would dramatically change the functioning of the international economy. Surprisingly, the autonomous structure of the IMF did not channel US initiatives toward gradual evolution but rather helped determine a radical change in strategy. (shrink)

The Michelson-Morley result is described empirically by generalized Doppler equations. If the phase of a light wave is not invariant, in agreement with the quantum nature of light, special-relativistic kinematics need not be assumed. Einstein particle dynamics and Maxwell-Lorentz electrodynamics in a moving system are derived without assuming special-relativistic kinematics. An alternative explanation for the decay rate of moving radioactive particles is presented. The observation of a third-order Doppler effect may yield the velocity of the closed laboratory.

Voigt's 1887 explanation of the Michelson-Morley result as a Doppler effect using absolute space-time is examined. It is shown that Doppler effects involve two wave velocities: (1) the phase velocity, which is used to account for the Michelson-Morley null result, and (2) the velocity of energy propagation, which, being fixed relative to absolute space, may be used to explain the results of Roemer, Bradley, Sagnac, Marinov, and the 2.7° K anisotropy.

Uncoupling the mirrors in Marinov's (1) coupled-mirrors experiment allows them to be separated as far apart as desired, and orders of magnitude improvement in accuracy can be obtained for the determination of the absolute velocity of the closed laboratory.

The achievements of the textile industry in Roman Britain are often underestimated as a result of the meagreness of our available evidence. The Edict on maximum prices issued by Diocletian in A.D. 301 shows that British capes commanded high prices on the markets of the Empire, and that in the late third century A.D. British rugs were the best in the world. In view of the competition from the traditional centres of rug manufacture in the East, this is an astonishing (...) achievement. (shrink)

In earlier work we have described how computer algebra may be used to derive composite rate laws for complete systems of equations, using the mathematical technique of Gröbner Bases (Bennett, Davenport and Sauro, 1988). Such composite rate laws may then be fitted to experimental data to yield estimates of kinetic parameters.Recently we have been investigating the practical application of this methodology to the estimation of kinetic parameters for the closed two enzyme system of aspartate aminotransferase (AAT) and malate dehydrogenase (MDH) (...) (Fisher 1990a; Fisher 1990b; Bennett and Fisher, 1990). (shrink)

Hagiographical studies have seen significant advances in Franciscan scholarship over the last half a century with new critical editions of central texts being prepared. The fruits of this research have been made available in English translations, from the Omnibus of the Sources for the Life of St Francis to the publication of Francis of Assisi: Early Documents in three volumes with an excellent index at the turn of the new millennium. The examination of the life of Francis of Assisi is (...) now gravitating towards liturgical texts in order to gauge the image of the saint projected during the sacred liturgy in the Mass and the Divine Office. There is a growing realization that these liturgical texts did much to condition... (shrink)

The aim of this paper is to investigate the variety of symmetric closure algebras, that is, closure algebras endowed with a De Morgan operator. Some general properties are derived. Particularly, the lattice of subvarieties of the subvariety of monadic symmetric algebras is described and an equational basis for each subvariety is given.

How close is spirituality to psychosis? Covering the interrelation of psychosis and spirituality from a number of angles, _Insanity and Divinity_ will generate dialogue and discussion, aid critical reflection and stimulate creative approaches to clinical work for those interested in the connections between religious studies, psychoanalysis, anthropology and hagiography. Bringing together an international range of contributors and covering many different types of religious experience, this book presents its theme in three parts: Psychoanalysis, belief and mysticism Anthropology, history and hagiography Psychology, (...) psychosis and religious experience. Each section includes discussion of the hinterland between madness and religious experience from the perspective of a number of religions, autobiographical accounts of those who have experienced a psychosis in which spirituality played a key part and a comprehensive review of the position of psychology research into the meaning and function of spirituality in relation to the psychoses. Insightful, enlightening and wide-ranging, _Insanity and Divinity_ is ideal for clinicians, academics and chaplains working in clinical settings. (shrink)