Functional form of unitary representations of the quantum "az+b" group

The formula for all unitary representations of the quantum "az+b" group for a real deformation parameter is given. The description involves the quantum exponential function introduced by Woronowicz

The internal TR clusters of Acadian French: a hint from schwa

On the surface Acadian French appears to have word-initial and word-internal branching onsets. A closer look at the data however, reveals that no branching onsets can be followed by schwa. This fact leads me to propose that the TR clusters of Acadian French are bogus and that onsets do not branch in this dialect of French. [TRV] sequences have the structure of two separate onsets with a p-licensed and unrealised empty nucleus occurring between the stop and the liquid. When such a bogus cluster (i.e. /TøR/) is followed by a nucleus which is lexically empty, the form surfaces as [TəR] as a result of ECP

Nucleotide-resolution DNA double-strand breaks mapping by next-generation sequencing

We present a genome-wide method to map DNA double-strand breaks (DSBs) at nucleotide resolution by direct in situ breaks labeling, enrichment on streptavidin, and next-generation sequencing (BLESS). We comprehensively validated and tested BLESS using different human and mouse cells, DSBs-inducing agents, and sequencing platforms. BLESS was able to detect telomere ends, Sce endonuclease-induced DSBs, and complex genome-wide DSBs landscapes. As a proof of principle, we characterized the genomic landscape of sensitivity to replication stress in human cells, and identified over two thousand non-uniformly distributed aphidicolin-sensitive regions (ASRs) overrepresented in genes and enriched in satellite repeats. ASRs were also enriched in regions rearranged in human cancers, with many cancer-associated genes exhibiting high sensitivity to replication stress. Our method is suitable for genome-wide mapping of DSBs in various cells and experimental conditions with a specificity and resolution unachievable by current techniques

Comparison of Pattern Detection Methods in Microarray Time Series of the Segmentation Clock

While genome-wide gene expression data are generated at an increasing rate, the repertoire of approaches for pattern discovery in these data is still limited. Identifying subtle patterns of interest in large amounts of data (tens of thousands of profiles) associated with a certain level of noise remains a challenge. A microarray time series was recently generated to study the transcriptional program of the mouse segmentation clock, a biological oscillator associated with the periodic formation of the segments of the body axis. A method related to Fourier analysis, the Lomb-Scargle periodogram, was used to detect periodic profiles in the dataset, leading to the identification of a novel set of cyclic genes associated with the segmentation clock. Here, we applied to the same microarray time series dataset four distinct mathematical methods to identify significant patterns in gene expression profiles. These methods are called: Phase consistency, Address reduction, Cyclohedron test and Stable persistence, and are based on different conceptual frameworks that are either hypothesis- or data-driven. Some of the methods, unlike Fourier transforms, are not dependent on the assumption of periodicity of the pattern of interest. Remarkably, these methods identified blindly the expression profiles of known cyclic genes as the most significant patterns in the dataset. Many candidate genes predicted by more than one approach appeared to be true positive cyclic genes and will be of particular interest for future research. In addition, these methods predicted novel candidate cyclic genes that were consistent with previous biological knowledge and experimental validation in mouse embryos. Our results demonstrate the utility of these novel pattern detection strategies, notably for detection of periodic profiles, and suggest that combining several distinct mathematical approaches to analyze microarray datasets is a valuable strategy for identifying genes that exhibit novel, interesting transcriptional patterns

Spreparowane edycje utworów Adama Mickiewicza, czyli potyczki wydawców zakordonowych z cenzurą carską w okresie zaborów

Tsarist censorship in the nineteenth and in the early twentieth-centuries controlled both local publishing and publications imported from other annexed or foreign territories. Thus the significant part of volumes from lands separated from the country was not imported (in the case of Adam Mickiewicz’s publications, during the period from the sixties of nineteenth-century to 1914, it was 70%) as it was reasonably expected that they would not be released into circulation. However, 51 out of 87 editions of Mickiewicz’s works sent to the Russian Empire were questioned by Russian control offices: 34 became entirely forbidden and 17 partly censored – some extracts were erased or excised, which negatively affected the books’ appearance and discouraged potential purchasers. In order to prevent this, some foreign publishers prepared special editions of publications, which were destined to be imported to Russian annexed territories. With reference to the editions of Mickiewicz’s works there were 6 such cases.Cenzura carska w XIX i na początku XX wieku kontrolowała zarówno miejscową produkcję wydawniczą, jak i publikacje sprowadzane z innych zaborów oraz z zagranicy. W związku z tym z importu znacznej części druków zakordonowych z góry rezygnowano (w wypadku wydań utworów Adama Mickiewicza, w okresie od początku lat sześćdziesiątych do 1914 roku, z ponad 70%), spodziewając się słusznie, że nie zostaną dopuszczone do obiegu. Mimo to prawie 3/5 (51 z 87) wysłanych wówczas do Cesarstwa edycji dzieł poety rosyjskie urzędy kontroli zakwestionowały: 34 zakazały w całości, a w 17 nakazały wymazać lub wyciąć wskazane fragmenty, co negatywnie wpływało na wygląd książek i odstręczało od ich kupna. Aby zapobiec temu zjawisku, niektórzy wydawcy zakordonowi i zagraniczni przygotowywali specjalne wersje publikacji, przeznaczone na eksport do zaboru rosyjskiego. Jeśli chodzi o edycje utworów Mickiewicza, zarejestrowano sześć takich wypadków