A Newton algorithm for invariant subspace computation with large basins of attraction

We study the global behaviour of a Newton algorithm on the Grassmann manifold for invariant subspace computation. It is shown that the basins of attraction of the invariant subspaces may collapse in case of small eigenvalue gaps. A Levenberg-Marquardt-like modification of the algorithm with low numerical cost is proposed. A simple strategy for choosing the parameter is shown to dramatically enlarge the basins of attraction of the invariant subspaces while preserving the fast local convergence.

Four-dimensional Newton's constant in brane world with a sloping extra dimension

We show the four-dimensional Newton's constant obtained naturally from five-dimensional brane world with a tinily sloping extra dimension, which is independent of the bulk Weyl tensor. The corresponding universe is stiff fluid dominated when the slope of extra dimension is very small. Otherwise, the universe may be undergoing a self-acceleration at present epoch and have a decelerated phase in very recent past.

SIR: A Computer Program for Semantic Information Retrieval

SIR is a computer system, programmed in the LISP language, which accepts information and answers questions expressed in a restricted form of English. This system demonstrates what can reasonably be called an ability to "understand" semantic information. SIR's semantic and deductive ability is based on the construction of an internal model, which uses word associations and property lists, for the relational information normally conveyed in conversational statements. A format-matching procedure extracts semantic content from English sentences. If an input sentence is declarative, the system adds appropriate information to the model. If an input sentence is a question, the system searches the model until it either finds the answer or determines why it cannot find the answer. In all cases SIR reports its conclusions. The system has some capacity to recognize exceptions to general rules, resolve certain semantic ambiguities, and modify its model structure in order to save computer memory space. Judging from its conversational ability, SIR, is a first step toward intelligent man-machine communication. The author proposes a next step by describing how to construct a more general system which is less complex and yet more powerful than SIR. This proposed system contains a generalized version of the SIR model, a formal logical system called SIR1, and a computer program for testing the truth of SIR1 statements with respect to the generalized model by using partial proof procedures in the predicate calculus. The thesis also describes the formal properties of SIR1 and how they relate to the logical structure of SIR.

'You say a minority, sir, we say a nation': The Pilkington Committee on Broadcasting (1960-62) and Wales.

Medhurst, J. (2004). 'You say a minority, sir, we say a nation': The Pilkington Committee on Broadcasting (1960-62) and Wales. Welsh History Review. 22(2), pp.109-136. RAE2008

Newton's aerodynamic problem in media of chaotically moving particles

Plakhov, A.Y.; Torres, D., (2005) 'Newton's aerodynamic problem in media of chaotically moving particles', Sbornik: Mathematics 196(6) pp.885-933 RAE2008

Discourses Commemorative of Professor Tayler Lewis and Professor Isaac W. Jackson

Discourses

Some by-products of missions, by Isaac Taylor Headland.

http://www.archive.org/details/somebyproductsof013993mbp

China's new day; a study of events that have led to its coming, by Isaac Taylor Headland.

$u http://books.google.com/books?vid=OCLC02623863&id=mQz8gPn0et8C&a_sbrr=1 View book via Google

The law and custom of slavery in British India : in a series of letters to Thomas Fowell Buxton, Esq. by William Adam; Thomas Fowell Buxton, Sir

http://books.google.com/books?id=plhkPFrJ1QUC&dq=law+and+custom+of+slavery+in+British+India

Bible work in Bible lands, or, Events in the history of the Syria mission / by Isaac Bird.

http://www.archive.org/details/bibleworkinbible00birduoft

History of Baptist Indian missions : embracing remarks on the former and present condition of the aboriginal tribes; their settlement within the Indian Territory, and their future prospects / by Isaac McCoy.

http://www.archive.org/details/baptistindianmiss00mccorich

"Ladyes, damesels, and jantilwomen": female autonomy and authority in Sir Thomas Malory's Morte Darthur

Popular medieval English romances were composed and received within the social consciousness of a distinctly patriarchal culture. This study examines the way in which the dynamic of these texts is significantly influenced by the consequences of female endeavour, in the context of an autonomous feminine presence in both the real and imagined worlds of medieval England, and the authority with which this is presented in various narratives, with a particular focus on Sir Thomas Malory’s Morte Darthur. Chapter One of this study establishes the social and economic positioning of the female in fifteenth-century England, and her capacity for literary engagement; I will then apply this model of female autonomy and authority to a wider discussion of texts contemporary with Malory in Chapters Two and Three, in anticipation of a more detailed study of Le Morte Darthur in Chapters Four and Five. My research explores the female presence and influence in these texts according to certain types: namely the lover, the victim, the ruler, and the temptress. In the case of Malory, the crux of my observations centres on the paradox of the capacity for power in perceived vulnerability, incorporating the presentation of women in this patriarchal culture as being vulnerable and in need of protection, while simultaneously acting as a significant threat to chivalric society by manipulating this apparent fragility, to the detriment of the chivalric knight. In this sense, women can be perceived as being an architect of the romance world, while simultaneously acting as its saboteur. In essence, this study offers an innovative interpretation of female autonomy and authority in medieval romance, presenting an exploration of the physical, intellectual, and emotional placement of women in both the historical and literary worlds of fifteenth-century England, while examining the implications of female conduct on Malory’s Arthurian society.

De nietos y aves

Soluciones a los Problemas de los abuelos, estudio de las respuestas a uno de los problemas planteados en el Torneo de Matemáticas para 2º de la ESO de la Sociedad Canaria Isaac Newton de profesores de matemáticas. Actividad de resolución de problemas en una clase de 6º de Primaria.