Comparison of constructions of irregular Gallager codes

The low-density parity check codes whose performance is closest to the Shannon limit are `Gallager codes' based on irregular graphs. We compare alternative methods for constructing these graphs and present two results. First, we find a `super-Poisson' construction which gives a small improvement in empirical performance over a random construction. Second, whereas Gallager codes normally take N2 time to encode, we investigate constructions of regular and irregular Gallager codes that allow more rapid encoding and have smaller memory requirements in the encoder. We find that these `fast encoding' Gallager codes have equally good performance.

First U.S. battleships through Panama Canal: Missouri, Ohio, Wisconsin (postcard ca 1914)

Leonard Carpenter Panama Canal Collection. Photographs: Dredging, Soldiers, and Ships. [Box 1] from the Special Collections & Area Studies Department, George A. Smathers Libraries, University of Florida.

U.S.S. Ohio, Panama Canal (ca. 1914)

Leonard Carpenter Panama Canal Collection. Photographs: Dredging, Soldiers, and Ships. [Box 1] from the Special Collections & Area Studies Department, George A. Smathers Libraries, University of Florida.

De La navigation de l'Amazone : reponse a un memoire de M. Maury, officier de la marine des Etats-Unis

Pedro de Ângelis, militar e político italiano, nasceu em Nápolis, em 1784, e morreu em Buenos Aires, em 1854. Acompanhou o Rei Murat no exílio, após sua queda, e o preceptor de seus filhos. Retornou à Itália no regime constitucionalista, exilando-se novamente com o estabelecimento do absolutismo. A convite de Rivadavia, fixou-se em Buenos Aires, participando com destaque da política da República do Prata, contrária aos direitos do Brasil. Tornou-se, todavia, profundo conhecedor da história e da política da história e da política da América do Sul. De la navigation de l’Amazone, publicação em francês, editada em Montevidéu, segundo Borba de Moraes, “foi escrita a pedido do Governo brasileiro”, que foi o financiador da obra, em resposta aos planos de Maury para colonizar o Vale do Amazonas com afro-norte-americanos. “Apesar da sua parcialidade, a obra pode ser considerada valiosa contribuição para o conhecimento do Brasil”, como afirma Palau. Foi, também, publicada em espanhol, francês e português.

Second mémoire présenté par les Etats Unis du Brésil au gouvernement de la Confédération Suisse, arbitre choisi selon les stipulations du Traité conclu a Rio de Janeiro, le 10 Avril 1897, entre le Brésil et la France : frontières entre le Brésil et la Guyane Française

Nota de conteúdo : V.1. Memoire en reponse aux allegations de la France, accompagne de quelques cartes -- V. 2-3. Documents accompagnes de notes explicatives ou rectificatives, 1. ptie, 1536-1713 ; 2. ptie, 1713-1896 -- V. 4. Texte original de documents traduits dans les tomes 2 et 3 -- V. 5. Album : fac-simile de quelques documents reproduits aux tomes 2, 3 et 4 -- V. 6. Atlas : contenant 86 cartes.

Some constructions, related to noncommutative tori; Fredholm modules and the Beilinson-Bloch regulator

A noncommutative 2-torus is one of the main toy models of noncommutative geometry, and a noncommutative n-torus is a straightforward generalization of it. In 1980, Pimsner and Voiculescu in [17] described a 6-term exact sequence, which allows for the computation of the K-theory of noncommutative tori. It follows that both even and odd K-groups of n-dimensional noncommutative tori are free abelian groups on 2^n-1 generators. In 1981, the Powers-Rieffel projector was described [19], which, together with the class of identity, generates the even K-theory of noncommutative 2-tori. In 1984, Elliott [10] computed trace and Chern character on these K-groups. According to Rieffel [20], the odd K-theory of a noncommutative n-torus coincides with the group of connected components of the elements of the algebra. In particular, generators of K-theory can be chosen to be invertible elements of the algebra. In Chapter 1, we derive an explicit formula for the First nontrivial generator of the odd K-theory of noncommutative tori. This gives the full set of generators for the odd K-theory of noncommutative 3-tori and 4-tori.

In Chapter 2, we apply the graded-commutative framework of differential geometry to the polynomial subalgebra of the noncommutative torus algebra. We use the framework of differential geometry described in [27], [14], [25], [26]. In order to apply this framework to noncommutative torus, the notion of the graded-commutative algebra has to be generalized: the "signs" should be allowed to take values in U(1), rather than just {-1,1}. Such generalization is well-known (see, e.g., [8] in the context of linear algebra). We reformulate relevant results of [27], [14], [25], [26] using this extended notion of sign. We show how this framework can be used to construct differential operators, differential forms, and jet spaces on noncommutative tori. Then, we compare the constructed differential forms to the ones, obtained from the spectral triple of the noncommutative torus. Sections 2.1-2.3 recall the basic notions from [27], [14], [25], [26], with the required change of the notion of "sign". In Section 2.4, we apply these notions to the polynomial subalgebra of the noncommutative torus algebra. This polynomial subalgebra is similar to a free graded-commutative algebra. We show that, when restricted to the polynomial subalgebra, Connes construction of differential forms gives the same answer as the one obtained from the graded-commutative differential geometry. One may try to extend these notions to the smooth noncommutative torus algebra, but this was not done in this work.

A reconstruction of the Beilinson-Bloch regulator (for curves) via Fredholm modules was given by Eugene Ha in [12]. However, the proof in [12] contains a critical gap; in Chapter 3, we close this gap. More specifically, we do this by obtaining some technical results, and by proving Property 4 of Section 3.7 (see Theorem 3.9.4), which implies that such reformulation is, indeed, possible. The main motivation for this reformulation is the longer-term goal of finding possible analogs of the second K-group (in the context of algebraic geometry and K-theory of rings) and of the regulators for noncommutative spaces. This work should be seen as a necessary preliminary step for that purpose.

For the convenience of the reader, we also give a short description of the results from [12], as well as some background material on central extensions and Connes-Karoubi character.

Estimation of soil properties and deformations in staged constructions based on mcmc method

This paper presents a Bayesian probabilistic framework to assess soil properties and model uncertainty to better predict excavation-induced deformations using field deformation data. The potential correlations between deformations at different depths are accounted for in the likelihood function needed in the Bayesian approach. The proposed approach also accounts for inclinometer measurement errors. The posterior statistics of the unknown soil properties and the model parameters are computed using the Delayed Rejection (DR) method and the Adaptive Metropolis (AM) method. As an application, the proposed framework is used to assess the unknown soil properties of multiple soil layers using deformation data at different locations and for incremental excavation stages. The developed approach can be used for the design of optimal revisions for supported excavation systems. © 2010 ASCE.

The Moravian missions in Ohio. By Francis C. Huebner.

http://www.archive.org/details/moravianmissions014001mbp

Diary of David Zeisberger a Moravian missionary among the Indians of Ohio

http://www.archive.org/details/diaryofdavid01zeisrich http://www.archive.org/details/diaryofdavid02zeisrich

The Missionary pioneer, or, A brief memoir of the life, labours, and death of John Stewart, (man of colour) founder, under God of the mission among the Wyandotts at Upper Sandusky, Ohio / Published by Joseph Mitchell.

http://www.archive.org/details/missionarypionee00stewrich

Caring for the Celtic cubs: Discursive constructions of mothers and mothering in the Irish childcare debate

Drawing on an understanding of the public sphere as a multiplicity of communicative and discursive spaces this paper examines the constructions of mothers, mothering and motherhood which emerged in recent debates about childcare in Ireland. Preliminary analysis of these discursive constructions suggest that they are often based on rhetoric, informed by stereotypical assumptions and rooted in frames of reference which mitigate against the emergence of alternative ways of understanding the issues of mothering and childcare. It will be argued that the reductionist and divisive nature of the childcare debate which ensued prior to the 2005 budget, stymied childcare policy development at a time when its unprecedented prominence on the political agenda and the strength of public finances could have underpinned a shift in policy approach. The paper concludes with an exploration of the ways in which feminist scholarship can challenge the Irish model of childcare policy, which continues to be premised on an understanding of childcare and the reconciliation of work and family life as the privatised responsibility of individual women.