On the regularity of homomorphisms between Riesz subalgebras of L^r(X).

We investigate the automatic regularity of continuous algebra homomorphisms between Riesz algebras of regular operators on Banach lattices.

Zipf and Type-Token rules for the English, Spanish, Irish and Latin languages

The Zipf curves of log of frequency against log of rank for a large English corpus of 500 million word tokens, 689,000 word types and for a large Spanish corpus of 16 million word tokens, 139,000 word types are shown to have the usual slope close to –1 for rank less than 5,000, but then for a higher rank they turn to give a slope close to –2. This is apparently mainly due to foreign words and place names. Other Zipf curves for highlyinflected Indo-European languages, Irish and ancient Latin, are also given. Because of the larger number of word types per lemma, they remain flatter than the English curve maintaining a slope of –1 until turning points of about ranks 30,000 for Irish and 10,000 for Latin. A formula which calculates the number of tokens given the number of types is derived in terms of the rank at the turning point, 5,000 for both English and Spanish, 30,000 for Irish and 10,000 for Latin.

Dublin docklands. The urban fabric as cultural heritage

Introduction

Since the 1980s there have been major policies and projects for the redevelopment of Dublin Docklands. These projects were mainly aimed at profitable development of office, commercial and residential space, without a sound plan that would preserve the identity or community of the area. The recent shift in policies and urban design principles in the Dublin Docklands Area Master Plan 2008 shows that policy makers have acknowledged that mistakes were made in the last decades of the 20th century. The current map of the Dublin Docklands Area Master Plan 2008 gives us useful information about these changes. The Ringsend/ Irishtown area, which has kept a great part of its urban form and community identity throughout centuries, is described as an ‘area of protection of residential and services amenities’ (DDDA, 2008, map A). Meanwhile, the area of the Grand Canal Docks, recently developed, is described with the objective ‘to seek the social, economic and physical development or rejuvenation
within an area of mixed use of which residential and enterprise facilities would be the predominant uses’ (DDDA, 2008, map A). This classification shows that recent development has been unable to achieve the cohesion and complexity of existing neighbourhoods, revealing flaws not only in policy, but also in the built environment and approaches to urban design.

The shift towards the consideration of more community participation reveals a need to understand the tradition and past of these communities, while the urban fabric of small plots in the existing neighbourhoods, therefore, seems to have a very important role in the conservation of identity of place and providing the opportunity for difference within regularity. On the other hand, the new fabric of residential block developments in the docklands denies the possibility of developing a sense of community, and by providing only regularity, does not leave space for difference.

This paper will address questions related to urban morphology and town analysis in the case of Ringsend and Irishtown. This will provide a tool to learn from the past and perhaps find new models of development that might be less detrimental for the heritage of cities and urban communities. One of the ideas of this paper is to adhere to the new tendency in conservation policies to provide a broader analysis of urban areas, not only considering individual monuments in cities, but also analysing the significance of urban morphology and intangible heritage. It forms part of an OPW Post- Doctoral Fellowship in Conservation Studies and Environmental History.1 Research has been carried out in different areas of urban history of Dublin’s southern waterfront, including infrastructure history and a thorough analysis of the letters of the Pembroke Estate of the 19th century, which included the areas of Ringsend and Irishtown. However, this paper focuses on the study of urban form of the area and its significance to Dublin’s heritage.

Tracing Inspiration in Proverbial Material: From 'The Royal Dictionary' (1699 & 1729) of Abel Boyer to 'The English-Irish Dictionary' (1732) of Begley-McCurtin.

This metalexicographic study examines the relationship between the proverbial material in The English-Irish Dictionary (1732) of Begley and McCurtin, Abel Boyer’s The Royal Dictionary (First edition 1699, second edition 1729), and Nathaniel Bailey’s An Universal Etymological English Dictionary (1721). It will show, for the first time, that both the English macrostructure and microstructure of the proverbial entries in Begley and McCurtin (1732) were reproduced directly from Boyer’s dictionary and, in spite of claims to the contrary, the impact of Bailey’s (1721) dictionary was negligible. Furthermore, empirical data gleaned from a comparative linguistic analysis of the various editions of The Royal Dictionary prior to 1732, will prove that it was the second official edition (1729) that was used as the framework for The English-Irish Dictionary. A quantitative and qualitative analysis of the nature of the proverbial entries will also outline the various translation strategies that were used to compose the Irish material— particularly literal translation—and show that there are extremely high-levels of borrowings from Boyer (1729), both in terms of the English entries under the lemma, and the French entries in the comment.

High-surface thermally stable mesoporous gallium phosphates constituted by nanoparticles as primary building blocks

In constant, search for micro/mesoporous materials, gallium phosphates, have attracted continued interest due to the large pore size reported for some of these solids in comparison with analogous aluminum phosphates. However up to now, the porosity of gallium phosphates collapsed upon template removal or exposure to the ambient moisture. In the present work, we describe high-surface thermally stable mesoporous gallium phosphates synthesized from gallium propoxide and PCl3 and different templating agents such as amines (dipropylamine, piperidine and aminopiperidine) and quaternary ammonium salts (C16H33(CH3)3NBr and C16PyCl). These highly reactive precursors have so far not been used as gallium and phosphate sources for the synthesis of gallophosphates. Conceptually, our present synthetic procedure is based on the fast formation of gallium phosphate nanoparticles via the reaction of gallium propoxide with PCl3 and subsequent construction of the porous material with nanoparticles as building blocks. The organization of the gallophosphate nanoparticles in stable porous structures is effected by the templates. Different experimental procedures varying the molar composition of the sol-gel, pH and the pretreatment of gallium precursor were assayed, most of them leading to satisfactory materials in terms of thermal stability and porosity. In this way, a series of gallium phosphates with surface are above 200 m(2) g(-1), and narrow pore size from 3 to 6 nm and remarkable thermal stability (up to 550 degrees C) have been prepared. In some cases, the structure tends to show some periodicity and regularity as determined by XRD. The remarkable stability has allowed us to test the catalytic activity of gallophosphates for the aerobic oxidation of alkylaromatics with notable good results. Our report reopens the interest for gallophosphates in heterogeneous catalysis. (C) 2010 Elsevier Inc. All rights reserved.

Measurement and modelling of perceived slant in surfaces represented by freely viewed line drawings

Simple pictures under everyday viewing conditions evoke impressions of surfaces oriented in depth. These impressions have been studied by measuring the slants of perceived surfaces, with probes (rotating arrowheads) designed to respect the distinctive character of depicted scenes. Converging arguments indicated that the perceived orientation of the probes was near theoretical values. A series of experiments showed that subjects formed well-defined impressions of depicted surface orientation. The literature suggests that perceived objects might be flattened', but that was not the general rule. Instead, both mean slant and uncertainty fitted models in which slant estimates are derived in a relatively straightforward way from local relations in the picture. Simplifying pictures tended to make orientation estimates less certain, particularly away from the natural anchor points (vertical and horizontal). The shape of the object affected all aspects of the observed-object/percept relationship. Individual differences were large, and suggest that different individuals used different relationships as a basis for their estimates. Overall, data suggest that everyday picture perception is strongly selective and weakly integrative. In particular, depicted slant is estimated by finding a picture feature which will be strongly related to it if the object contains a particular regularity, not by additive integration of evidence from multiple directly and indirectly relevant sources.

COMPLETELY ITERATIVE, PIPELINED MULTIPLIER ARRAY SUITABLE FOR VLSI.

A pipelined array multiplier which has been derived by applying 'systolic array' principles at the bit level is described. Attention is focused on a circuit which is used to multiply streams of parallel unsigned data. Then an algorithm is given which demonstrates that, with only a simple modification to the basic cell, the same array can cope with two's complement numbers. The resulting structure has a number of features whch make it attractive to LSI and VLSI. These include regularity and modularity.

Bit-level systolic array implementation of the Winograd Fourier transform algorithm

A bit level systolic array system is proposed for the Winograd Fourier transform algorithm. The design uses bit-serial arithmetic and, in common with other systolic arrays, features nearest-neighbor interconnections, regularity and high throughput. The short interconnections in this method contrast favorably with the long interconnections between butterflies required in the FFT. The structure is well suited to VLSI implementations. It is demonstrated how long transforms can be implemented with components designed to perform a short length transform. These components build into longer transforms preserving the regularity and structure of the short length transform design.

Design and test of a bit parallel 2nd order IIR filter structure

Test procedures for a pipelined bit-parallel IIR filter chip which maximally exploit its regularity are described. It is shown that small modifications to the basic architecture result in significant reductions in the number of test patterns required to test such chips. The methods used allow 100% fault coverage to be achieved using less than 1000 test vectors for a chip which has 12 bit data and coefficients.

SYSTOLIC IMPLEMENTATION OF THE WINOGRAD FOURIER TRANSFORM ALGORITHM.

A bit-level systolic array system is proposed for the Winograd Fourier transform algorithm. The design uses bit-serial arithmetic and, in common with other systolic arrays, features nearest neighbor interconnections, regularity, and high throughput. The short interconnections in this method contrast favorably with the long interconnections between butterflies required in the FFT. The structure is well suited to VLSI implementations. It is demonstrated how long transforms can be implemented with components designed to perform short-length transforms. These components build into longer transforms, preserving the regularity and structure of the short-length transform design.