8 research outputs found

    Weakly non-collapsed RCD spaces are strongly non-collapsed

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    We prove that any weakly non-collapsed RCD space is actually non-collapsed, up to a renormalization of the measure. This confirms a conjecture raised by De Philippis and the second named author in full generality. One of the auxiliary results of independent interest that we obtain is about the link between the properties \quad- tr(Hessf)=Δf\mathrm{tr}(\mathrm{Hess}f)=\Delta f on UXU\subset\mathsf{X} for every ff sufficiently regular, \quad- m=cHn\mathfrak{m}=c\mathscr{H}^n on UXU\subset\mathsf{X} for some c>0c>0, where UXU\subset \mathsf{X} is open and X\mathsf{X} is a - possibly collapsed - RCD space of essential dimension nn.Comment: 31 page

    Mesothelioma in two sheep with pericardial effusion and ascites

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    Mesotheliomas are rare tumours in domestic animals. These tumours have a range of clinical presentations, and a range of gross and microscopic features can be present. We report mesotheliomas in two sheep submitted to Animal and Plant Health Agency’s diagnostic pathology service with diverse clinical presentations. The first case was a 2-year-old ewe with a history of sudden death that had a nodular mass in the wall of the right auricle and marked pericardial effusion and ascites. The second case was a 3-year-old ewe with a history of recumbency which had a papillary mass in the peritoneal cavity and marked ascites. A diagnosis of mesothelioma in both cases was confirmed by immunohistochemistry for cytokeratin and vimentin. These cases highlight the diverse presenting signs that can be present with mesothelioma, and this tumour should be considered as a differential diagnosis in sheep with peritoneal, pericardial or pleural effusion at gross postmortem

    Mapping Twitter hate speech towards social and sexual minorities: a lexicon-based approach to semantic content analysis

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    Though there are currently no statistics offering a global overview of online hate speech, both social networking platforms and organisations that combat hate speech have recognised that prevention strategies are needed to address this negative online phenomenon. While most cases of online hate speech target individuals on the basis of ethnicity and nationality, incitements to hatred on the basis of religion, class, gender and sexual orientation are increasing. This paper reports the findings of the ‘Italian Hate Map’ project, which used a lexicon-based method of semantic content analysis to extract 2,659,879 Tweets (from 879,428 Twitter profiles) over a period of 7 months; 412,716 of these Tweets contained negative terms directed at one of the six target groups. In the geolocalized Tweets, women were the most insulted group, having received 71,006 hateful Tweets (60.4% of the negative geolocalized tweets), followed by immigrants (12,281 tweets, 10.4%), gay and lesbian persons (12,140 tweets, 10.3%), Muslims (7,465 tweets, 6.4%), Jews (7,465 tweets, 6.4%) and disabled persons (7,230 tweets, 6.1%). The findings provide a real-time snapshot of community behaviours and attitudes against social, ethnic, sexual and gender minority groups that can be used to inform intolerance prevention campaigns on both local and national levels
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