Symmetry classes for even-order tensors

The purpose of this article is to give a complete and general answer to the recurrent problem in continuum mechanics of the determination of the number and the type of symmetry classes of an even-order tensor space. This kind of investigation was initiated for the space of elasticity tensors. Since then, different authors solved this problem for other kinds of physics such as photoelectricity, piezoelectricity, flexoelectricity, and strain-gradient elasticity. All the aforementioned problems were treated by the same computational method. Although being effective, this method suffers the drawback not to provide general results. And, furthermore, its complexity increases with the tensorial order. In the present contribution, we provide general theorems that directly give the sought results for any even-order constitutive tensor. As an illustration of this method, and for the first time, the symmetry classes of all even-order tensors of Mindlin second strain-gradient elasticity are provided.Comment: Mathematics and Mechanics of Complex Systems (2013) (Accepted

N=2 Supermultiplet of Currents and Anomalous Transformations in Supersymmetric Gauge Theory

We examine some properties of supermultiplet consisting of the U(1)_{J} current, extended supercurrents, energy-momentum tensor and the central charge in N=2 supersymmetric Yang-Mills theory. The superconformal improvement requires adding another supermultiplet beginning with the U(1)_{R} current. We determine the anomalous (quantum mechanical) supersymmetry transformation associated with the central charge and the energy-momentum tensor to one-loop order.Comment: 8 pages, LaTe

LiBeB, Cosmic Rays and Gamma-Ray Line Astronomy

This article is a summary of a recently held conference on the light elements, Li, Be and B, and their relationship to cosmic-ray origin and gamma-ray astronomy. The proceedings will be published by the PASP.Comment: latex 6 pages, uses aasms4.sty To appear in the Publications of the Astronomical Society of the Pacific (PASP

Accelerator Constraints on Neutralino Dark Matter

The constraints on neutralino dark matter \chi obtained from accelerator searches at LEP, the Fermilab Tevatron and elsewhere are reviewed, with particular emphasis on results from LEP 1.5. These imply within the context of the minimal supersymmetric extension of the Standard Model that m_\chi \ge 21.4 GeV if universality is assumed, and yield for large tan\beta a significantly stronger bound than is obtained indirectly from Tevatron limits on the gluino mass. We update this analysis with preliminary results from the first LEP 2W run, and also preview the prospects for future sparticle searches at the LHC.Comment: Presented by J. Ellis at the Workshop on the Identification of Dark Matter, Sheffield, September, 1996. 14 pages; Latex; 12 Fig

Environmental Dependence of Masses and Coupling Constants

We construct a class of scalar field models coupled to matter that lead to the dependence of masses and coupling constants on the ambient matter density. Such models predict a deviation of couplings measured on the Earth from values determined in low-density astrophysical environments, but do not necessarily require the evolution of coupling constants with the redshift in the recent cosmological past. Additional laboratory and astrophysical tests of \Delta \alpha and \Delta(m_p/m_e) as functions of the ambient matter density are warranted.Comment: 20 pages, no figures, references added, minor editorial change

A Simple Way of Calculating Cosmological Relic Density

A simple procedure is presented which leads to a dramatic simplification in the calculation of the relic density of stable particles in the Universe.Comment: 7 pages in LaTex, no figures; University of Michigan preprint UM-TH-94-02 (February 1994). Changes: a coefficient in $b^0$ (Eq. 16) corrected; added Acknowledgements and revised Note Added; plain LaTex only (no need to use RevTex

Karl Marx: Forty years after (1883-1923)

https://stars.library.ucf.edu/prism/1348/thumbnail.jp

A question of time or a question of theology: a study of the Easter controversy in the insular church

Time and theology are the twin pillars on which this thesis rests. It will explore how different scriptural interpretations led to theological and computistical differences between the Insular and continental/Roman churches. The Insular Church believed in and strictly adhered to the tradition passed on to them by their "fathers". What were the origins of these traditions and the theology that formed them? To apprehend Easter controversies, whether it is the early Quartodeciman controversy or the controversy in the Insular Church, an understanding of how biblical exegesis and different theological perspectives shaped the minds and hearts of those involved, is necessary. The Exodus story as portrayed in the Old Testament formed the basis for a theological interpretation of the Christian Passover, inheriting from Judaism a rich heritage of images and symbols used and developed in early paschal homilies. To gain insight into this particular theology the writings of those directly involved in the Insular controversy will be explored. Medieval monasteries distinguished between festal time and ordinary time. It is against this sense of "festalism" and the passionate need to get it right that the dating of Easter is argued. The discussion hinges on a fixed point of reference for the Easter full moon. The cultural sensitivies of the time must be taken into account. To celebrate "out" of time was to break the unity of the Church. More importantly, it raised the question of one's eternal salvation. Monastic life, which strongly influenced the early Irish Church was in a very real sense caught up in the great "drama" enacted between heaven and hell in which the cycle of the Christian year was a vital weapon. To date scholarly research has approached this topic from a medieval historical perspective. It has, however, never been approached from a purely theological stance. Questions regarding the Insular 84-year cycle have occupied scholars over the past one hundred years or so. A review of the literature reveals an advance in understanding the techniques of the computus of the Insular church. The work of Dáibhí Ó Cróinín is well documented and his findings have considerably enriched the body of knowledge on this question. The discovery in Padua of a latercus provided for the first time an example of an Irish computus. Accompanying this text was the text of the Paschal Canon of Anatolius: this text is essential to an understanding of the Insular computus. Anatolius' contribution was not simply technical but he provides valuable insight into the cosmological considerations behind a theological understanding of the Easter feast as a feast of light

Study of the present use of decimals in manufacturing.

Thesis (M.A.)--Boston University This item was digitized by the Internet Archive