Canonical Reduction of Tensors and the Physical Properties of Condensed Matter: Application to Optics

International audienceA general framework for the description of the physical properties of matter by a canonical reduction procedure of tensors is presented; besides geometrical symmetries, this paper emphasizes the role of intrinsic symmetries which are due either to the indiscernability of some of the physical quantities involved or to thermodynamical arguments. The intrinsic symmetries are expressed through the behaviour of the tensors describing the investigated property under the effect of some index permutation. The scheme of reduction of any tensor into parts that are irreducible not only with respect to rotations and inversion but also with respect to index permutations is shown and examples are given in the area of light-matter interaction

Canonical Reduction of Tensors and the Physical Properties of Condensed Matter: Application to Optics

A general framework for the description of the physical properties of matter by a canonical reduction procedure of tensors is presented; besides geometrical symmetries, this paper emphasizes the role of intrinsic symmetries which are due either to the indiscernability of some of the physical quantities involved or to thermodynamical arguments. The intrinsic symmetries are expressed through the behaviour of the tensors describing the investigated property under the effect of some index permutation. The scheme of reduction of any tensor into parts that are irreducible not only with respect to rotations and inversion but also with respect to index permutations is shown and examples are given in the area of light-matter interaction.Comment: 34 pages, 5 figures, 4 tables. This paper dated 1992 has been originally published in a journal which is not available on line for the years before 2002. It is the extension of a 1978 paper which has been often referenced up to now (J. Jerphagnon, D. S. Chemla and R. Bonneville, Adv. in Phys. 27, 609 (1978)) By comparison with the original publication, several misprints have been correcte

How Secure Is Your Tax Foreclosure Title?

However, in the recent Washington case of Krops v. Jacobson, a tax title, procured through a judgment in foreclosure proceedings for delinquent taxes, was set aside as void, even though the taxes had not been paid. The reason assigned was that the foreclosure had been caused by the failure of the county treasurer to note upon the receipt given in payment for current taxes that certain back taxes were due. To the legislative direction that there shall be two exceptions to the conclusive effect of a judgment in tax foreclosure proceedings, the court has added a third—frustration of the taxpayer in the payment of his taxes by the public officer

The Attractive Nuisance Doctrine in Washington

It is here proposed to examine the cases in Washington wherein attractive nuisance has been discussed, for the purpose of determining the scope of the doctrine as it has been accepted in this state, and to point out the types of situations in which an unsuccessful attempt has been made to apply this rule, for the appellate court in this state has dealt with the doctrine primarily in a negative manner, i.e. has denied its applicability to most of the factual, situations in cases where the issue has been raised on appeal, which in itself illustrates that the bar of this state has been confused as to the scope or limits of the doctrine. No attempt will be made to discuss extensively the merits of the doctrine, for it will become apparent that it has become an accepted rule of law in this state; nor will anything more than a brief statement of the historical development and theory be given, for there is a wealth of material available on this subject

Cultural resources predictive land use model for the Okanogan highlands: an impact assessment for the Bonneville Power Administration\u27s Chief Joseph Dam-Tonasket and Grand Coulee Keller transmission lines

This report is about the impact on archaeological sites posed by the construction of power lines from Chief Joseph Dam to Tonasket, Washington and from Grand Coulee Dam to Keller, Washington.https://dc.ewu.edu/spc_pubs/1006/thumbnail.jp

Inventory of the Economic Zones of the French Territories in the Pacific The ZoNéCo and ZEPOLYF Programmes

Until recent years, no systematic campaign of charting or evaluation of potential had been organized in the immense maritime economic zones of the French territories in the Pacific. The ZoNéCo Programme, for the economic zone of New Caledonia, and the ZEPOLYF Programme, for that of French Polynesia, have instituted a systematic process of drawing up an inventory or assessment of these regions, the method and the first results of which are described here

Annotation management: a Group decision support system for nurses tasks

International audienceWe develop a 5-year empirical investigation that is giving us broad and deep insights to characterise activity management in the palliative ward of an oncology hospital, and offer effective support for group decision-making and collaborative activity of caregivers. Following this observation period, we propose a software prototype based upon annotations in which dealing with patients’ state and evolution is a complex organisational task. We based our conception of an annotation tool on the observations of the rich writing practices of medical professionals. We rely on the innovative strategy of intermediate management to introduce a new technology able to bridge heterogeneous, valuable data flows that addresses both management support and activity support in a single tool

Molecular identification of fungi microfossils in a Neoproterozoic shale rock

Precambrian fossils of fungi are sparse, and the knowledge of their early evolution and the role they played in the colonization of land surface are limited. Here, we report the discovery of fungi fossils in a 810 to 715 million year old dolomitic shale from the Mbuji-Mayi Supergroup, Democratic Republic of Congo. Syngenetically preserved in a transitional, subaerially exposed paleoenvironment, these carbonaceous filaments of ~5 μm in width exhibit low-frequency septation (pseudosepta) and high-angle branching that can form dense interconnected mycelium-like structures. Using an array of microscopic (SEM, TEM, and confocal laser scanning fluorescence microscopy) and spectroscopic techniques (Raman, FTIR, and XANES), we demonstrated the presence of vestigial chitin in these fossil filaments and document the eukaryotic nature of their precursor. Based on those combined evidences, these fossil filaments and mycelium-like structures are identified as remnants of fungal networks and represent the oldest, molecularly identified remains of Fungi