Ontheproof of the Poincare´ conjecture

In 2002, Perelman proved the Poincare conjecture, building on the work of Richard Hamilton on the Ricci flow. In this article, we sketch some of the arguments and attempt to place them in a broader dynamical context.

On the proof of the Poincare´ conjecture

In 2002, Perelman proved the Poincare conjecture, building on the work of Richard Hamilton on the Ricci flow. In this article, we sketch some of the arguments and attempt to place them in a broader dynamical context.

A unified approach to known and unknown cases of Berge's conjecture

Berge's elegant dipath partition conjecture from 1982 states that in a dipath partition P of the vertex set of a digraph minimizing , there exists a collection Ck of k disjoint independent sets, where each dipath P?P meets exactly min{|P|, k} of the independent sets in C. This conjecture extends Linial's conjecture, the GreeneKleitman Theorem and Dilworth's Theorem for all digraphs. The conjecture is known to be true for acyclic digraphs. For general digraphs, it is known for k=1 by the GallaiMilgram Theorem, for k?? (where ?is the number of vertices in the longest dipath in the graph), by the GallaiRoy Theorem, and when the optimal path partition P contains only dipaths P with |P|?k. Recently, it was proved (Eur J Combin (2007)) for k=2. There was no proof that covers all the known cases of Berge's conjecture. In this article, we give an algorithmic proof of a stronger version of the conjecture for acyclic digraphs, using network flows, which covers all the known cases, except the case k=2, and the new, unknown case, of k=?-1 for all digraphs. So far, there has been no proof that unified all these cases. This proof gives hope for finding a proof for all k.

SPATIO-TEMPORAL DYNAMICS ALONG THE TERRAIN GRADIENT OF DIVERSE LANDSCAPE

Land use (LU) land cover (LC) information at a temporal scale illustrates the physical coverage of the Earth's terrestrial surface according to its use and provides the intricate information for effective planning and management activities. LULC changes are stated as local and location specific, collectively they act as drivers of global environmental changes. Understanding and predicting the impact of LULC change processes requires long term historical restorations and projecting into the future of land cover changes at regional to global scales. The present study aims at quantifying spatio temporal landscape dynamics along the gradient of varying terrains presented in the landscape by multi-data approach (MDA). MDA incorporates multi temporal satellite imagery with demographic data and other additional relevant data sets. The gradient covers three different types of topographic features, planes; hilly terrain and coastal region to account the significant role of elevation in land cover change. The seasonality is another aspect to be considered in the vegetation dominated landscapes; variations are accounted using multi seasonal data. Spatial patterns of the various patches are identified and analysed using landscape metrics to understand the forest fragmentation. The prediction of likely changes in 2020 through scenario analysis has been done to account for the changes, considering the present growth rates and due to the proposed developmental projects. This work summarizes recent estimates on changes in cropland, agricultural intensification, deforestation, pasture expansion, and urbanization as the causal factors for LULC change.

On linear series and a conjecture of D. C. Butler

Let C be a smooth irreducible projective curve of genus g and L a line bundle of degree d generated by a linear subspace V of H-0 (L) of dimension n+1. We prove a conjecture of D. C. Butler on the semistability of the kernel of the evaluation map V circle times O-C -> L and obtain new results on the stability of this kernel. The natural context for this problem is the theory of coherent systems on curves and our techniques involve wall crossing formulae in this theory.

A Short Review on Lu-Hf Isotope System in Zircon: Implications for Crustal Evolution

Zircon has been recognized as the unaltered part of the Earth's history which preserves nearly 4 billion year record of earth's evolution. Zircon preserves igneous and metamorphic processes during its formation and remains unaffected by sedimentary processes and crustal recycling. U-Pb and Lu-Hf in zircon work as geochronometer and geochemical tracer respectively. Zircon provide valuable information about the source composition of the rocks and the intrinsic details of an unseen crust-mantle processes. The world wide data of U-Pb and Lu-Hf isotope systems in zircon reveal crustal evolution through geological history. Moreover, the U-Pb age pattern of zircons show distinct peaks attributed to preservation of crustal rocks or mountain building during supercontinent assembly. The histogram of continental crust preservation shows that nearly one-third of continental crust was formed during the Archean, almost 20% was formed during Paleoproterozoic and 14% in last 400 Ma.

Beyond Schur's Conjecture

Schur 4] conjectured that the maximum length N of consecutive quadratic nonresidues modulo a prime p is less than root p if p is large enough. This was proved by Hummel in 2003. In this note, we outline a clear improvement over Hummel's bound for p > 23.

Beyond Schur's Conjecture

Schur 4] conjectured that the maximum length N of consecutive quadratic nonresidues modulo a prime p is less than root p if p is large enough. This was proved by Hummel in 2003. In this note, we outline a clear improvement over Hummel's bound for p > 23.

O outro e a transcendência : na parábola do Bom Samaritano (Lc 10, 25-37)

Resumen: Neste estudo, procuramos definir o sentido da corporeidade em Entralgo, relacionando-o com o pensamento de Lévinas. Segundo Entralgo, o corpo humano era um microcosmos integrado num cosmos. Assim, o corpo é i único objecto do Universo, do qual temos um duplo conhecimento não de fora, como também temos a sua percepção a partir de dentro. Porém, segundo Lévinas, a corporeidade é a expressão do Rosto do Outro, referindo- se como uma prefiguração do Outro, que tem o seu epílogo na parábola do Bom Samaritano. Há, na verdade, uma relação de aproximação antropológica entre o sentido do corpo como forma de manifestar o Outro. Em ti e por ti, tu eras uma pessoa, mas sendo tu uma pessoa, podendo e devendo Eu ver-te e tratar-te como tal pessoa. Os dois pensadores apresentam uma referência em relação à pessoas. Segundo Lévinas a pessoa será responsabilidade.

Influencia de dos cultivos antecedente y diferentes métodos de control a la cenosis y al crecimiento y rendimiento del tomate (Lycopersicum esculentum LC.V. "UC-82)

Este ensayo se realizó en noviembre de 1988 a Marzo de 1989, la cooperativa Rubén Duarte, Managua, con el objetivo de determinar la influencia de diferentes cultivos antecesores y métodos de control de malezas sobre la dinámica de la cenosis de malezas y el crecimiento, desarrollo y rendimiento del cultivo de tomate. La mayor abundancia se presentó cuando el cultivo antecesor fue maíz, así como en el control químico Flauzifop (B2), El mayor peso seco total de malezas presentó cuando antecedió sorgo y en el control químico Fluazifop. El número de inflorescencia y flores abiertas se presentó mayor en el sorgo como antecesor: los métodos de control ejercieron influencia en el número de flores abiertas, influencias, numero de ramas, encontrándose que el que ejerció mejor influencia fue el control mecánico: el número de frutos totales por plantas y el rendimiento resultaron mayor en el maíz como antecesor comportándose diferente en peso total de frutos que fue mayor cuando antecedió sorgo. Con el control mecánico, resulto en mayor número de frutos totales por plantas y el rendimiento.

Role of G protein coupled inwardly rectifier K+ channels (GIRK) on the neurobiology depression

353 págs.

LC teknika desberdinen erabilera Sindrome metabolikoaren aurkako terapian erabiltzen diren farmakoen determinaziorako

330 p.