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The critical group of a combinatorial map
Combinatorial Theory, 2023Motivated by the appearance of embeddings in the theory of chip firing and the critical group of a graph, we introduce a version of the critical group (or sandpile group) for combinatorial maps, that is, for graphs embedded in orientable surfaces.
C. Merino, Iain Moffatt, S. Noble
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Large-Scale Group Decision Making: A Systematic Review and a Critical Analysis
IEEE/CAA Journal of Automatica Sinica, 2022The society in the digital transformation era demands new decision schemes such as e-democracy or based on social media. Such novel decision schemes require the participation of many experts/decision makers/stakeholders in the decision processes.
D. García-Zamora +4 more
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Group and person attributions in response to criticism of the in‐group
British Journal of Social Psychology, 2002This study examined responses to criticism of the in‐group as influenced by critic's group membership and justifiability of the criticism. Participants responded to an article in which the author criticized their school. The critic was presented as a student either at the participant's own school (the in‐group) or at a college higher or lower in status
Anne, O'Dwyer +2 more
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Siberian Mathematical Journal, 1992
An elementary proof of lemma 52.23 of \textit{H. Neumann} [Varieties of groups (1967; Zbl 0251.20001)] is given, which has a central place in obtaining the fact that the identities of a finite group have a finite basis.
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An elementary proof of lemma 52.23 of \textit{H. Neumann} [Varieties of groups (1967; Zbl 0251.20001)] is given, which has a central place in obtaining the fact that the identities of a finite group have a finite basis.
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Understanding R1-Zero-Like Training: A Critical Perspective
arXiv.orgDeepSeek-R1-Zero has shown that reinforcement learning (RL) at scale can directly enhance the reasoning capabilities of LLMs without supervised fine-tuning.
Zi-Yan Liu +7 more
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On homogeneity within critical groups
Journal of Radiological Protection, 2004Since the 1960s, the methodology recommended by the International Commission on Radiological Protection (ICRP) for assessment of individual doses has developed significantly, yet the specific recommendations related to the characteristics of 'critical groups' for the purposes of protection of the public have been interpreted but are relatively ...
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N-critical graph of finite groups
Asian-European Journal of Mathematics, 2021A Schmidt [Formula: see text]-group is a non-nilpotent [Formula: see text]-group whose proper subgroups are nilpotent and which has the normal Sylow [Formula: see text]-subgroup. The [Formula: see text]-critical graph [Formula: see text] of a finite group [Formula: see text] is a directed graph on the vertex set [Formula: see text] of all prime ...
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Critical degenerate inequalities¶on the Heisenberg group
manuscripta mathematica, 2001The author obtains necessary conditions for the existence of (signed) weak solutions for the singular inequalities on the Heisenberg group: \({{-| \xi| ^2_{H}}\over {\psi}} \Delta_H (au) \geq | u| ^q,\) on \(I\!\! H^n \setminus\{0\}\) \; \(u_t -{{| \xi| ^2_{H}}\over {\psi}} \Delta_H (au) \geq | u| ^q,\) and \(u_{tt} -{{| \xi| ^2_{H}}\over {\psi ...
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The Group: An Experiment in Criticism
The Yearbook of English Studies, 1987The Group was a collection of writers, based in London, and predominantly poets, who met each week between 1955 and 1965 to discuss one another's work. For the first four years I acted as chairman, selecting participants and making sure that they received in advance of each meeting a copy of the texts to be discussed. There was no membership fee and no
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