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Kochen-Specker theorem for 8-dimensional space

A Kochen-Specker contradiction is produced with 36 vectors in a real 8-dimensional Hilbert space. These vectors can be combined into 30 distinct projection operators (14 of rank 2, and 16 of rank 1). A state-specific variant of this contradiction requires only 13 vectors, a remarkably low number for 8 dimensions.
arxiv.org

Gradings on $o(8,\mathbb C)$

This is a matricial description of all the fine group gradings on the exceptional Lie algebra $o(8,\mathbb C)$. There are fourteen.
arxiv.org

On S. Mazur's problems 8 and 88 from the Scottish Book

The paper discusses Problems 8 and 88 posed by Stanislaw Mazur in the Scottish Book. It turns out that negative solutions to both problems are immediate consequences of the results of Section 5 of my paper "Estimates of functions of power bounded operators on Hilbert spaces", J. Operator Theory 7 (1982), 341-372. We discuss here some quantitative aspects of Problems 8 and 88 and give answers to open problems discussed in a recent paper by Pelczynski and Sukochev.
arxiv.org

新时代高校共青团思想引领工作的困境及改进策略

党历来重视高校思想政治工作,高校共青团队伍是高校思想政治教育工作的生力军。 高校共青团思想引领工作中还存在着共青团针对性考核机制不够完善、理论教育实效性不强、学生活动教育内涵不突出的问题,为改进共青团思想引领工作还需完善顶层设计,扎实做好主题理论教育、促进学生活动内涵式发展。
encyclopub.com