417 research outputs found

    Uncertainty principles connected with the Mobius inversion formula

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    We say that two arithmetic functions ff and gg form a \emph{M\"{o}bius pair} if f(n)=dng(d)f(n) = \sum_{d \mid n} g(d) for all natural numbers nn. In that case, gg can be expressed in terms of ff by the familiar M\"{o}bius inversion formula of elementary number theory. In a previous paper, the first-named author showed that if the members ff and gg of a M\"{o}bius pair are both finitely supported, then both functions vanish identically. Here we prove two significantly stronger versions of this uncertainty principle. A corollary of our results is that in a nonzero M\"{o}bius pair, one cannot have both $\sum_{f(n) \neq 0}\frac{1}{n

    Rudy warkocz. Martin Pollack: Skażone krajobrazy. Przeł. Karolina Niedenthal. Wołowiec, Wydawnictwo Czarne, 2014, ss. 112

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    A red plait. Martin Pollack: Skażone krajobrazy. Przeł. Karolina Niedenthal. Wołowiec, Wydawnictwo Czarne, 2014, ss. 112. The present essay is devoted to a book by Martin Pollack entitled Skażone krajobrazy. In this volume the Austrian reporter and essayist creates a peculiar map of Central and EasternEurope. The former includes the sites of mass murders which were perpetrated in strict secrecy, and which until today have not been commemorated. Pollack argues that until this happens, the perpetrators who attempted at all costs to commit their crimes without any witnesses will prevail. A separate trait of Pollack’s essay has to do with a reflection about the “topography of terror”: the author presents with a poet’s devotion the landscapes in which acts of genocide were perpetrated. This enables the readers to examine the process of the Shoah from yet another perspective – a post‑anthropocentric perspective

    Living Organ Donors

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    The difficult legacy and the obligation to remember in the "Topography of Remembrance" by Martin Pollack

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    Der Beitrag beschäftigt sich mit den im Band "Topografie der Erinnerung" (2016) gesammelten Essays, die eine Auseinandersetzung Martin Pollacks mit der Erinnerung an seine Nazi-Vorfahren, vor allem an seinen Vater – SS-Sturmbahnführer, sind. Es werden folgende Fragen gestellt: Welche Bedeutung hat es für Pollack, Sohn eines Nazi-Verbrechers zu sein? Warum und aus welcher Perspektive schreibt er? Für wen macht er das? Wie verhält er sich dem Bild seines Vaters gegenüber? Die Antworten auf diese Fragen basieren auf einem theoretischen Diskurs über das Familiengedächtnis. Die These des Beitrags lautet, dass es Pollack nicht gelingt, in seinen Texten sich vom Vater zu distanzieren und objektiv zu schreiben. Er überlegt, was dies für seine eigene Identität bedeuten kann.Artykuł dotyczy esejów zebranych w tomie "Topografia pamięci" (2016) zajmujących się pamięcią Martina Pollacka o jego nazistowskich przodkach, zwłaszcza o jego ojcu – SS-manie. Autorka stawia następujące pytania: Jakie znaczenie ma dla Pollacka bycie synem nazistowskiego zbrodniarza? Dlaczego i z jakiej perspektywy pisze? Dla kogo to robi? Jak odnosi się do obrazu swojego ojca? Odpowiedzi na te pytania opierają się na teoretycznym dyskursie na temat pamięci rodzinnej i wynika z nich, że Pollack w swoich tekstach nie dystansuje się od swojego ojca i nie pisze obiektywnie, lecz pozostaje subiektywny w swojej narracji. Martwi go, że jest bezpośrednim potomkiem narodowych socjalistów i zastanawia się, co to może oznaczać dla jego własnej tożsamości.The article analyses essays collected in the volume "Topography of Remembrance" (2016) dealing with the memories of Martin Pollack about his Nazi ancestors, especially about his father who was an SS-man. The author of this article asks the following questions: What does it mean for Pollack to be the son of a Nazi criminal? Why and from what perspective is he writing? Who is he writing for? How does he relate to his father’s image? The answers to these questions are based on theoretical discourses on family memory. The thesis of the article is that Pollack does not distance himself from his father in his texts and does not write objectively but remains subjective in his narrative. He is concerned by the fact that he is a direct descendant of the National Socialists and he wonders what that might mean for his own identity

    A Red Plait. Martin Pollack: <i>Skażone krajobrazy</i>. Trans. Karolina Niedenthal. Wołowiec, Wydawnictwo Czarne, 2014, 112 pages

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    A red plait. Martin Pollack: Skażone krajobrazy. Przeł. Karolina Niedenthal. Wołowiec, Wydawnictwo Czarne, 2014, ss. 112. The present essay is devoted to a book by Martin Pollack entitled Skażone krajobrazy. In this volume the Austrian reporter and essayist creates a peculiar map of Central and EasternEurope. The former includes the sites of mass murders which were perpetrated in strict secrecy, and which until today have not been commemorated. Pollack argues that until this happens, the perpetrators who attempted at all costs to commit their crimes without any witnesses will prevail. A separate trait of Pollack’s essay has to do with a reflection about the “topography of terror”: the author presents with a poet’s devotion the landscapes in which acts of genocide were perpetrated. This enables the readers to examine the process of the Shoah from yet another perspective – a post‑anthropocentric perspective

    Significant Association of Estrogen Receptor-β Isoforms and Coactivators in Breast Cancer Subtypes

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    Nuclear receptor coregulators are the principal regulators of Estrogen Receptor (ER)-mediated transcription. ERβ, an ER subtype first identified in 1996, is associated with poor outcomes in breast cancer (BCa) subtypes, and the coexpression of the ERβ1 isoform and AIB-1 and TIF-2 coactivators in BCa-associated myofibroblasts is associated with high-grade BCa. We aimed to identify the specific coactivators that are involved in the progression of ERβ-expressing BCa. ERβ isoforms, coactivators, and prognostic markers were tested using standard immunohistochemistry. AIB-1, TIF-2, NF-kB, p-c-Jun, and/or cyclin D1 were differentially correlated with ERβ isoform expression in the BCa subtypes and subgroups. The coexpression of the ERβ5 and/or ERβ1 isoforms and the coactivators were found to be correlated with a high expression of P53, Ki-67, and Her2/neu and large-sized and/or high-grade tumors in BCa. Our study supports the notion that ERβ isoforms and coactivators seemingly coregulate the proliferation and progression of BCa and may provide insight into the potential therapeutic uses of the coactivators in BCa

    Identification of the glutamine residue that may be involved in the transglutaminase-mediated intramolecular crosslinking of carp and walleye pollack myosin

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    In order to elucidate the molecular mechanism of transglutaminase-mediated myosin cross-linking, a fluorescent monodansylcadaverine (MDC) was incorporated into carp Cyprinus carpio myosin and the reactive Gln residues were analyzed by cyanogen bromide cleavage. The fluorescence was predominantly detected in a 10.5 kDa BrCN-fragment, which is assumed to be located in subfragment 2 of the myosin heavy chain. Furthermore, lysyl endopeptidase digestion of the 10.5 kDa fragment revealed that MDC was specifically incorporated into the 520th Gln residue of the subfragment 2 domain. When meat paste prepared from walleye pollack Theragra chalcogramma frozen surimi was incubated with MDC, the fluorescence was mostly observed in a 16 kDa BrCN-fragment and also slightly detected in other three bands. By the digestion of 16 kDa fragment with lysyl endopeptidase, it was elucidated that MDC was incorporated specifically into Gln-520 of myosin subfragment 2, as well as detected in carp. This domain around Gln-520 is likely to be a common critical region for dimer formation of myosin heavy chains for both fish species. In walleye pollack, other reactive Gln residues are presumed to be exist in the C-terminus of the light meromyosin. This slight difference may be significant in a capacity to form tetramers or even larger multimers
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