Results 111 to 120 of about 111,047 (227)
It is known that an abelian group $A$ and a $2$-cocycle $c:A \times A \to C$ yield a group ${\mathscr{H}}(A,C,c)$ which we call a Heisenberg group. This group, a central extension of $A$, is the archetype of a class~$2$ nilpotent group. In this note, we prove that under mild conditions, any class~$2$ nilpotent group $G$ is equivalent as an extension of
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Modern Theology, EarlyView.Abstract This essay, designed as a complement to opinions expressed by Rowan Williams and some speakers at the conference in his honour, explores features of early Christianity which suggest a positive evaluation of artificial intelligence. Noting that the fear of reducing humans to machines has been joined in the modern age by the fear that machines ...
Mark J. Edwards
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A kinematic model of stick‐insect walking
Physiological Reports, 2019 Animal, and insect walking (locomotion) in particular, have attracted much attention from scientists over many years up to now. The investigations included behavioral, electrophysiological experiments, as well as modeling studies.
Tibor I. Tóth, Silvia Daun
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The Geometry of the Osculating Nilpotent Group Structures of the Heisenberg Calculus
, 2014 We explore the geometry that underlies the osculating nilpotent group structures of the Heisenberg calculus. For a smooth manifold $M$ with a distribution $H\subseteq TM$ analysts use explicit (and rather complicated) coordinate formulas to define the ...
Julg, Pierre, van Erp, Erik
core
A Restriction Theorem for M\'etivier Groups
, 2013 In the spirit of an earlier result of M\"uller on the Heisenberg group we prove a restriction theorem on a certain class of two step nilpotent Lie groups.
Casarino, Valentina, Ciatti, Paolo
core
Seeing Through an Ant's Eyes: Do Entomopathogenic Fungi Extend Their Cognition to Their Hosts?
Topics in Cognitive Science, EarlyView.Abstract Post‐cognitivist approaches recognize cognition as a phenomenon that involves not just brains but all the sensorimotor apparatus of organisms. This means that brains are not always required for the emergence of cognition and that every organism can, in principle, be cognitive, unlocking a theoretical framework to explain the complex adaptive ...
André Geremia Parise +2 more
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A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem
Journal of Inequalities and Applications, 2007 Based on properties of vector fields, we prove Hardy inequalities with remainder terms in the Heisenberg group and a compact embedding in weighted Sobolev spaces. The best constants in Hardy inequalities are determined.
Zixia Yuan, Pengcheng Niu, Jingbo Dou
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$C^{*}$-Rigidity of the Heisenberg Group
Publications of the Research Institute for Mathematical SciencesWe prove that the Heisenberg groups can be distinguished from the other connected and simply connected Lie groups via their group C^{*} -algebras.
Ingrid Beltiţă, Daniel Beltiţă
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Causal Effect Estimation With TMLE: Handling Missing Data and Near Violations of Positivity
Biometrical Journal, Volume 68, Issue 3, June 2026.ABSTRACT We evaluate the performance of targeted maximum likelihood estimation (TMLE) for estimating the average treatment effect in missing data scenarios under varying levels of positivity violations. We employ model‐ and design‐based simulations, with the latter using undersmoothed highly adaptive lasso on the “WASH Benefits Bangladesh” data set to ...
Christoph Wiederkehr +2 more
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Integrating polygenic and methylation risk scores for pleural mesothelioma risk stratification
International Journal of Cancer, Volume 158, Issue 11, Page 2866-2879, 1 June 2026.What's new? Asbestos exposure is a major risk factor for pleural mesothelioma (PM). Most asbestos‐exposed individuals do not develop PM, suggesting that it arises from a complex interplay between environmental and genetic factors. This study examined the utility of polygenic risk scores (PRS) and methylation risk scores (MRS) in incorporating genetic ...
Khadija Sana Hafeez +26 more
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