Star-group identities and groups of units

Analogous to *-identities in rings with involution we define *-identities in groups. Suppose that G is a torsion group with involution * and that F is an infinite field with char F not equal 2. Extend * linearly to FG. We prove that the unit group U of FG satisfies a *-identity if and only if the symmetric elements U(+) satisfy a group identity.

Spaces of compact operators on C(2(m) circle plus [0, alpha]) spaces

We classify up to isomorphism the spaces of compact operators K(E, F), where E and F are Banach spaces of all continuous functions defined on the compact spaces 2(m) circle plus [0, alpha], the topological sum of Cantor cubes 2(m) and the intervals of ordinal numbers [0, alpha]. More precisely, we prove that if 2(m) and aleph(gamma) are not real-valued measurable cardinals and n >= aleph(0) is not sequential cardinal, then for every ordinals xi, eta, lambda and mu with xi >= omega(1), eta >= omega(1), lambda = mu < omega or lambda, mu is an element of [omega(gamma), omega(gamma+1)[, the following statements are equivalent: (a) K(C(2(m) circle plus [0, lambda]), C(2(n) circle plus [0, xi])) and K(C(2(m) circle plus [0, mu]), C(2(n) circle plus [0, eta]) are isomorphic. (b) Either C([0, xi]) is isomorphic to C([0, eta] or C([0, xi]) is isomorphic to C([0, alpha p]) and C([0, eta]) is isomorphic to C([0,alpha q]) for some regular cardinal alpha and finite ordinals p not equal q. Thus, it is relatively consistent with ZFC that this result furnishes a complete isomorphic classification of these spaces of compact operators. (C) 2010 Elsevier Inc. All rights reserved.

Cantor-Bernstein Sextuples for Banach Spaces

Let X and Y be Banach spaces isomorphic to complemented subspaces of each other with supplements A and B. In 1996, W. T. Gowers solved the Schroeder-Bernstein (or Cantor-Bernstein) problem for Banach spaces by showing that X is not necessarily isomorphic to Y. In this paper, we obtain a necessary and sufficient condition on the sextuples (p, q, r, s, u, v) in N with p + q >= 1, r + s >= 1 and u, v is an element of N*, to provide that X is isomorphic to Y, whenever these spaces satisfy the following decomposition scheme A(u) similar to X(P) circle plus Y(q) B(v) similar to X(r) circle plus Y(s). Namely, Phi = (p - u)(s - v) - (q + u)(r + v) is different from zero and Phi divides p + q and r + s. These sextuples are called Cantor-Bernstein sextuples for Banach spaces. The simplest case (1, 0, 0, 1, 1, 1) indicates the well-known Pelczynski`s decomposition method in Banach space. On the other hand, by interchanging some Banach spaces in the above decomposition scheme, refinements of the Schroeder-Bernstein problem become evident.

Examples from trees, related to discrete subsets, pseudo-radiality and omega-boundedness

We construct some examples using trees. Some of them are consistent counterexamples for the discrete reflection of certain topological properties. All the properties dealt with here were already known to be non-discretely reflexive if we assume CH and we show that the same is true assuming the existence of a Suslin tree. In some cases we actually get some ZFC results. We construct also, using a Suslin tree, a compact space that is pseudo-radial but it is not discretely generated. With a similar construction, but using an Aronszajn tree, we present a ZFC space that is first countable, omega-bounded but is not strongly w-bounded, answering a question of Peter Nyikos. (C) 2008 Elsevier B.V. All rights reserved.

Classification of Parkinson’s Disease using MultiPass Lvq,Logistic Model Tree,K-Star for Audio Data set : Classification of Parkinson Disease using Audio Dataset

Parkinson's disease (PD) is a degenerative illness whose cardinal symptoms include rigidity, tremor, and slowness of movement. In addition to its widely recognized effects PD can have a profound effect on speech and voice.The speech symptoms most commonly demonstrated by patients with PD are reduced vocal loudness, monopitch, disruptions of voice quality, and abnormally fast rate of speech. This cluster of speech symptoms is often termed Hypokinetic Dysarthria.The disease can be difficult to diagnose accurately, especially in its early stages, due to this reason, automatic techniques based on Artificial Intelligence should increase the diagnosing accuracy and to help the doctors make better decisions. The aim of the thesis work is to predict the PD based on the audio files collected from various patients.Audio files are preprocessed in order to attain the features.The preprocessed data contains 23 attributes and 195 instances. On an average there are six voice recordings per person, By using data compression technique such as Discrete Cosine Transform (DCT) number of instances can be minimized, after data compression, attribute selection is done using several WEKA build in methods such as ChiSquared, GainRatio, Infogain after identifying the important attributes, we evaluate attributes one by one by using stepwise regression.Based on the selected attributes we process in WEKA by using cost sensitive classifier with various algorithms like MultiPass LVQ, Logistic Model Tree(LMT), K-Star.The classified results shows on an average 80%.By using this features 95% approximate classification of PD is acheived.This shows that using the audio dataset, PD could be predicted with a higher level of accuracy.

The Role of Gay Spaces for a Gay Destination : Gay Tourism in Gran Canaria

This thesis has the aim to evaluate the role of gay spaces in Gran Canaria as a gay tourists destination with particular reference to gay exclusive resorts. The validation of the gay identity is a key motivation for homosexuals to travel, in order to connect with other homosexuals and experience the gay life that they might not be able to experience at home. Gay spaces have been defined both as liberated areas as well as ghettos, where the homosexuals are, in a way, restrained. The method chosen, a small number of semi- structured interviews with managers of gay exclusive resorts in Maspalomas, the hub of gay life in Gran Canaria, where major LGBT events are held, there is a gay friendly environment, a thriving gay scene and many gay exclusive resorts. In the case of Gran Canaria the gay-specific offer is complementary to the ‘regular’ tourism offer, as they coexist, complement and at times overlap. Nevertheless the gay centric holiday is still predominant amongst gay men, and it is likely to continue to be according to the informants. This is because gay tourists seek freedom and a sense of inclusion that they would not be able to find in mixed environments.

Just which Reality do you Mean? Users' Experiences of Virtual Spaces

Virtual Reality is a relatively new technology in the relatively young field of computer science. The design of Virtual Reality has only recently come into discussion, as well as the implications for this sort of design. I hope to determine how a user can work most efficiently and accurately in a Virtual World. By studying this, I hope to help in the standardization of Virtual Reality design.

Who Was Elizabeth Hanson? Book reveals the secret circumstances surrounding the death of the CIA's rising star

Book by Washington Post reporter reveals the secret circumstances surrounding the death of rising CIA star Elizabeth Hanson ’02.

Produção de mudas de caramboleiras 'B-10' e 'Golden Star': II - marcha de absorção e acúmulo de nutrientes

A participação do Brasil no mercado externo de frutas tem aumentado consideravelmente e com potencial para crescer ainda mais. A constante ascensão dos dados de exportação brasileira é resultado da combinação de avanços tecnológicos do setor produtivo e de acesso a novos mercados consumidores. A caramboleira apresenta-se como uma excelente opção de cultivo de frutas exóticas, com grande potencial para atender ao mercado interno e às exportações. Assim, objetivou-se avaliar a marcha de absorção e de acúmulo de nutrientes em mudas de caramboleiras cultivadas em solução nutritiva. O experimento foi realizado em parcelas subdivididas, sendo utilizadas como parcela as duas cultivares de caramboleira ('B-10' e 'Golden Star') e, como subparcelas, cinco épocas de coleta de plantas, realizadas aos 208; 233; 258; 283 e 308 dias após o transplantio para a solução nutritiva. O delineamento foi inteiramente casualizado, com três repetições. As mudas foram cultivadas em vasos (8L) com solução nutritiva (pH=5,5 ± 0,5), com aeração. O experimento iniciou-se em 24-08-2005. Nos diferentes órgãos das mudas (folhas, caule e raízes), determinaram-se a marcha de absorção, o acúmulo de nutrientes e os índices nutricionais. Não houve diferenças no acúmulo de nutrientes entre as mudas de caramboleira de ambas as cultivares, sendo a ordem decrescente dos nutrientes em cada muda de 'B-10', no final do período experimental: N > K > Ca > Mg > S > P > Fe > Mn > B > Cu > Zn. Para a 'Golden Star', a ordem foi: N > K > Ca > Mg > P > S > Fe > Mn > B > Cu > Zn. Para as duas cultivares, o acúmulo médio foi maior nas folhas > caule > raízes. O período de maior exigência para 'B-10' foi entre 208 - 233 e, para 'Golden Star', entre 233 - 283 dias após o transplantio. As diferentes taxas de acumulação líquida dos nutrientes, nos diferentes órgãos da caramboleira, nem sempre acompanharam a taxa de acumulação de nutrientes do respectivo órgão.

Produção de mudas de caramboleiras 'B-10' e 'Golden Star': I - parâmetros biológicos

O Brasil é um dos maiores produtores de carambola do mundo, entretanto há poucas informações científicas, especialmente estudos de nutrição mineral com mudas dessa frutífera. Objetivando contribuir com o conhecimento desse importante aspecto, desenvolveu-se estudo que permitisse avaliar o crescimento e o acúmulo de nutrientes em mudas de caramboleiras, cultivadas em solução nutritiva. O experimento foi realizado em parcelas subdivididas, sendo utilizadas como parcela as duas cultivares de caramboleira ('B-10' e 'Golden Star') e, como subparcelas, as cinco épocas de coleta de plantas, realizadas aos 208; 233; 258; 283 e 308 dias após o transplantio para a solução nutritiva. O delineamento foi inteiramente casualizado, com três repetições. As mudas foram cultivadas em vasos (8L) com solução nutritiva (pH=5,5 ± 0,5), com aeração. O experimento iniciou-se em 24-08-2005. Nos diferentes órgãos das mudas (folhas, caule e raízes), avaliaram-se o crescimento e o acúmulo de nutrientes, e os índices nutricionais. Não houve diferenças no crescimento e, em geral, no acúmulo da massa da matéria seca entre as duas cultivares. Houve acúmulo linear da massa da matéria seca das mudas de caramboleira com o tempo de cultivo, sendo maior nas folhas > caule > raízes. O período de maior acúmulo da massa de matéria seca e da taxa de crescimento relativo na planta inteira esteve compreendido entre 208 - 233 e 233 - 258 dias após o transplantio para a 'B-10' e a 'Golden Star', respectivamente.

Estimates for the Poisson kernel and Hardy spaces on compact manifolds

We study Hardy spaces on the boundary of a smooth open subset or R-n and prove that they can be defined either through the intrinsic maximal function or through Poisson integrals, yielding identical spaces. This extends to any smooth open subset of R-n results already known for the unit ball. As an application, a characterization of the weak boundary values of functions that belong to holomorphic Hardy spaces is given, which implies an F. and M. Riesz type theorem. (C) 2004 Elsevier B.V. All rights reserved.

Reversibility properties of semigroup actions on homogeneous spaces

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)