A comment on the consistency of truncated nonlinear integral equation based theories of freezing

We report the results of two studies of aspects of the consistency of truncated nonlinear integral equation based theories of freezing: (i) We show that the self-consistent solutions to these nonlinear equations are unfortunately sensitive to the level of truncation. For the hard sphere system, if the Wertheim–Thiele representation of the pair direct correlation function is used, the inclusion of part but not all of the triplet direct correlation function contribution, as has been common, worsens the predictions considerably. We also show that the convergence of the solutions found, with respect to number of reciprocal lattice vectors kept in the Fourier expansion of the crystal singlet density, is slow. These conclusions imply great sensitivity to the quality of the pair direct correlation function employed in the theory. (ii) We show the direct correlation function based and the pair correlation function based theories of freezing can be cast into a form which requires solution of isomorphous nonlinear integral equations. However, in the pair correlation function theory the usual neglect of the influence of inhomogeneity of the density distribution on the pair correlation function is shown to be inconsistent to the lowest order in the change of density on freezing, and to lead to erroneous predictions. The Journal of Chemical Physics is copyrighted by The American Institute of Physics.

Lost in translation? : Translating allusions in two of Reginald Hill's Dalziel & Pascoe novels

This study examines strategies used to translate various thematic and character delineating allusions in two of Reginald Hill's detective novels, The Wood Beyond and On Beulah Height and their Swedish translations Det mörka arvet and Dalen som dränktes. In this study, thematic allusions and allusions used in character delineation are regarded as intertextual networks. Intertextual networks comprise all the texts that are in one way or another embedded into a text, all the texts referred to in it and even the texts somehow rejected from a text's own canon. Studying allusions as intertextual networks makes it warranted to pay minute attention to even the smallest of details. Seen together, these little details form extensive networks of meaning that readers use to interpret the text. Allusion can be defined as a reference, often covert or indirect, to another text in a way that brings into the text some of the associations of that other text. A text is here understood broadly, hence sources of allusions include all cultural texts from literature and history to cinema and televisions serials. Allusions are culture bound and each culture tends to allude to its own cultural products. The set of transcultural allusions is therefore fairly small. Translation strategies are translatorial ways of solving translation problems. Being culture-bound, allusions are potential translation problems. In order to transmit the thoughts evoked by the allusions in source text readers to the target text readers translators may add guidance to the translated text. Often guidance is not added, which may result in changes in handling of themes or character delineation, clear in the source text but confusing or incomprehensible in the target text. However, norms in target culture may not always allow the translators the possibility to make the text comprehensible. My analyses of translation strategies show that in the two translated novels studied minimum change is a very frequently used strategy. This results in themes and character delineation losing some of the effect they have in the source texts. Perhaps surprisingly, the result is very much the same even where it is possible to discern that the two translators have had differing translation principles. Keywords: allusions, intertextuality, literary translation, translation strategies, norms, crime fiction, Hill, Reginald

Analysis of Paschen Curves for air, N2 and SF6 Using the Townsend Breakdown Equation

It has been shown that it is possible to extend the validity of the Townsend breakdown criterion for evaluating the breakdown voltages in the complete pd range in which Paschen curves are available. Evaluation of the breakdown voltages for air (pd=0.0133 to 1400 kPa · cm), N2(pd=0.0313 to 1400 kPa · cm) and SF6 (pd=0.3000 to 1200 kPa · cm) has been done and in most cases the computed values are accurate to ±3% of the measured values. The computations show that it is also possible to estimate the secondary ionization coefficient ¿ in the pd ranges mentioned above.

Multinomial solutions of the beach equation

Exact multinomial solutions of the beach equation for shallow water waves on a uniformly sloping beach are found and related to solution of the same equation found earlier by other investigators, using integral transform techniques. The use of these solutions for a general initialvalue problem for the equation under investigation is briefly discussed.

New species of Acraspisoides Hill & Winterton and Bonjeania Irwin & Lyneborg (Diptera: Therevidae: Agapophytinae), with the description of a new genus

The stiletto fly subfamily Agapophytinae is diverse and species rich in Australasia, with numerous undescribed species. A new species of Acraspisoides Hill & Winterton, A. monticola sp. nov., is described from females collected in montane localities in eastern Australia. Eight new species of Bonjeania Irwin & Lyneborg are also described, raising the total number of known species to 18. Five new species, B. affinis sp. nov., B. apluda sp. nov., B. bapsis sp. nov., B. webbi sp. nov. and B. zwicki sp. nov., all have a distinctive, forward-protruding head with antennae on a raised tubercle. Two other new species, B. argentea sp. nov. and B. jefferiesi sp. nov., are closely related to B. segnis (White), with very similar shaped male genitalia and body shape. An eighth species, B. lambkinae sp. nov., is closely related to B. clamosis Winterton & Skevington. Bonjeania and Acraspisoides are diagnosed and revised keys to species presented. An unusual new therevid, Vomerina humbug gen. et sp. nov., is also described and figured based on a series of males from New South Wales. This new genus likely represents the sister taxon to Bonjeania.

Convenient construction of tetrahedral finite elements for the quasi-harmonic equation

It is shown that in the finite-element formulation of the general quasi-harmonic equation using tetrahedral elements, for every member of the element family there exists just one numerical universal matrix indpendent of the size, shape and material properties of the element. Thus the element matrix is conveniently constructed by manipulating this single matrix along with a set of reverse sequence codes at the same time accounting for the size, shape and material properties in a simple manner.

Franz Matthiesen outdoors with his second wife Katherina Früh outside of Franz's Carton Hill home; London.

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Ruth Weiss nee Stern with Annette, Meir, and David Weiss at Mortimer Hill Farm; Mortimer, England.

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Ruth Weiss nee Stern with Annette, Meir, and David Weiss at Mortimer Hill Farm; Mortimer, England..

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Distribution of the angle of rotation plane random walks

We study the probability distribution of the angle by which the tangent to the trajectory rotates in the course of a plane random walk. It is shown that the determination of this distribution function can be reduced to an integral equation, which can be rigorously transformed into a differential equation of Hill's type. We derive the asymptotic distribution for very long walks.

Queensland Coastal Wetland Resources: Round Hill Head to Tin Can Inlet

The wetland resources of the Queensland coastline have been mapped by the Resource Condition and Trend Unit, Fisheries Group, Department of Primary Industries Queensland. This process is being undertaken in order to provide a baseline dataset for Fish Habitat Area (FHA) declaration, Ramsar site nomination and continued monitoring of these important fish habitats. This report summarises the results of the mapping undertaken from Round Hill Head to Tin Can Inlet. The study was undertaken in order to: 1. document and map the coastal wetland communities from Round Hill Head (24°S) to Tin Can Inlet (26°S); 2. document levels of existing disturbance to and protection of the wetlands; 3. examine existing recreational and commercial fisheries in the region; and 4. evaluate the conservation values of the areas investigated from the viewpoint of fisheries productivity and as habitat for important and/or threatened species.

Franz Matthiesen outdoors with his second wife Katherina Früh outside of Franz's Carton Hill home; London.

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Multinomial solutions of the beach equation

Exact multinomial solutions of the beach equation for shallow water waves on a uniformly sloping beach are found and related to solution of the same equation found earlier by other investigators, using integral transform techniques. The use of these solutions for a general initialvalue problem for the equation under investigation is briefly discussed.

Some direct numerical approaches to the solution of the singular nonlinear transonic integral equation

The nonlinear singular integral equation of transonic flow is examined, noting that standard numerical techniques are not applicable in solving it. The difficulties in approximating the integral term in this expression were solved by special methods mitigating the inaccuracies caused by standard approximations. It was shown how the infinite domain of integration can be reduced to a finite one; numerical results were plotted demonstrating that the methods proposed here improve accuracy and computational economy.

Water-wave scattering by two submerged plane vertical barriers-Abel integral-equation approach

The classical problem of surface water-wave scattering by two identical thin vertical barriers submerged in deep water and extending infinitely downwards from the same depth below the mean free surface, is reinvestigated here by an approach leading to the problem of solving a system of Abel integral equations. The reflection and transmission coefficients are obtained in terms of computable integrals. Known results for a single barrier are recovered as a limiting case as the separation distance between the two barriers tends to zero. The coefficients are depicted graphically in a number of figures which are identical with the corresponding figures given by Jarvis (J Inst Math Appl 7:207-215, 1971) who employed a completely different approach involving a Schwarz-Christoffel transformation of complex-variable theory to solve the problem.