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Alexander Borst studied Biology at the University of Wuerzburg. His PhD work in Martin Heisenberg’s lab demonstrated that the mushroom bodies of Drosophila are indispensable for olfactory learning. He did a postdoc with Karl Goetz at the Max-PlanckInstitute for biological Cybernetics in Tübingen, where he started to work on fly motion vision, a field which he never left since. In 1993, he becam...
We show that some of the main results in Laurentiu Maxim’s paper [10] can be obtained (even in a slightly more general setting) using the theory of perverse sheaves of finite rank over Q as described for instance in author’s recent book [3].
Using recent results of the second author which explicitly identify the “(1, 2, 1, 2)avoiding” GL(p,C)×GL(q,C)-orbit closures on the flag manifold GL(p+q,C)/B as certain Richardson varieties, we give combinatorial criteria for determining smoothness, lci-ness, and Gorensteinness of such orbit closures. (In the case of smoothness, this gives a new proof of a theorem of W.M. McGovern.) Going a st...
conclusions the educational framework provided by im for at training improved attitude and behavioral beliefs that can facilitate the adoption of at behavior and decreased clbp. results significant differences were recorded before and after intervention (p < 0.001) for the model constructs of intention, perceived risk, direct attitude, behavioral beliefs, and knowledge in both groups. direct at...
By considering a (not necessarily locally-flat) PL knot as the singular locus of a PL stratified pseudomanifold, we can use intersection homology theory to define intersection Alexander polynomials, a generalization of the classical Alexander polynomial invariants for smooth or PL locally-flat knots. We show that the intersection Alexander polynomials satisfy certain duality and normalization c...
silver coins of alexander of macedonia, until the arrival of parthians in the 1st century bc, have been put in wdxrf in order to determin ag, cu, pb and au as major and trace elements for fineness, debasement and refinement of silver in ancient persia. seleucid kingdom from 4th to 1st century bc was succeeded by several dynasties and kings. but the chemical composition of their silver coins an...
Alexander disease is a fatal neurological illness characterized by white-matter degeneration and formation of Rosenthal fibers, which contain glial fibrillary acidic protein as astrocytic inclusion. Alexander disease is mainly caused by a gene mutation encoding glial fibrillary acidic protein, although the underlying pathomechanism remains unclear. We established induced pluripotent stem cells ...
Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander {v S}ostak in cite{BS}. In this paper, the authors generalize the structure of diuniformity in ditopological texture spaces defined in cite{OB} to the graded ditopological texture spaces and investigate graded ditopologies generated by graded diuniformities. The autors...
Freedman, Lovász and Schrijver characterized graph parameters that can be represented as the (weighted) number of homomorphisms into a fixed graph. Several extensions of this result have been proved. We use the framework of categories to prove a general theorem of this kind. Similarly as previous resuts, the characterization uses certain infinite matrices, called connection matrices, which are ...
For a prime p and binomial axk+bxl with 1 ≤ l < k < 1 32 (p−1) 2 3 , we use Stepanov’s method to obtain the bound ∣∣∣∣∣ p−1 ∑ x=1 ep(ax k + bx) ∣∣∣∣∣ max { 1, l∆− 1 3 } 1 4 k 1 4 p 3 4 , where ∆ = k−l (k,l,p−1) .
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