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Signed Tilings by Ribbon L n-Ominoes, n Even, via Gröbner Bases

Open Journal of Discrete Mathematics 2016年第3期6卷 185-206页

作者： kenneth gill Viorel Nitica Department of Mathematics West Chester University West Chester USA

Let Tn be the set of ribbon L-shaped n-ominoes for some n≥4 even, and let T+n be Tn with an extra 2 x 2 square. We investigate signed tilings of rectangles by Tn and T+n . We show that a rectangle has a signed tiling by Tn if and only if both sides of the rectangle are even and one of them is divisible by n, or if one of the sides is odd and the other side is divisible by . We also show that a rectangle has a signed tiling by T+n, n≥6 even, if and only if both sides of the rectangle are even, or if one of the sides is odd and the other side is divisible by . Our proofs are based on the exhibition of explicit GrÖbner bases for the ideals generated by polynomials associated to the tiling sets. In particular, we show that some of the regular tiling results in Nitica, V. (2015) Every tiling of the first quadrant by ribbon L n-ominoes follows the rectangular pattern. Open Journal of Discrete Mathematics, 5, 11-25, cannot be obtained from coloring invariants.

关键词： Polyomino Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Signed Tilings Gröbner Basis Tiling Rectangles Coloring Invariants

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Are EPB41 and alpha-synuclein diagnostic biomarkers of sport-related concussion?Findings from the NCAA and Department of Defense CARE Consortium

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Journal of Sport and Health Science 2023年第3期12卷 379-387页

作者： Rany Vorn Christina Devoto Timothy B.Meier Chen Lai Sijung Yun Steven P.Broglio Sara Mithani Thomas W.McAllister Christopher C.Giza Hyung-Suk Kim Daniel Huber Jaroslaw Harezlak kenneth L.Cameron Gerald McGinty Jonathan Jackson Kevin M.Guskiewicz Jason P.Mihalik Alison Brooks Stefan Duma Steven Rowson Lindsay D.Nelson Paul Pasquina Michael A.McCrea Jessica M.gill the CARE Consortium Investigators Johns Hopkins School of Nursing and Medicine BaltimoreMD 21205USA National Institutes of Health BethesdaMD 20892USA Department of Neurosurgery Medical College of WisconsinMilwaukeeWI 53226USA Predictiv Care Inc.Mountain ViewCA 94086USA Michigan Concussion Center University of MichiganAnn ArborMI 48109USA Department of Psychiatry Indiana University School of MedicineIndianapolisIN 46202USA Departments of Pediatrics and Neurosurgery University of California at Los Angeles(UCLA)Los AngelesCA 90024USA Department of Epidemiology and Biostatistics School of Public Health–Bloomington Indiana UniversityBloomingtonIN 47405USA John A.Feagin Sports Medicine Fellowship Keller Army Community HospitalWest PointNY 10996USA United States Air Force Academy Colorado SpringsCO 80840USA Mathew Gfeller Center Department of Exercise and Sport ScienceUniversity of North Carolina at Chapel HillChapel HillNC 27514USA Department of Orthopedics Division of Sports MedicineSchool of Medicine and Public HealthUniversity of WisconsinMadisonWI 53705USA Department of Biomedical Engineering and Mechanics Virginia TechBlacksburgVA 24061USA Center for Neuroscience&Regenerative Medicine Uniformed Services UniversityBethesdaMD 20814USA 不详 Current affiliation:School of Nursing University of Texas Health Science Center San AntonioSan AntonioTX 78229USA

Background:Current protein biomarkers are only moderately predictive at identifying individuals with mild traumatic brain injury or ***,more accurate diagnostic markers are needed for sport-related ***:This was a multicenter,prospective,case-control study of athletes who provided blood samples and were diagnosed with a concussion or were a matched non-concussed control within the National Collegiate Athletic Association-Department of Defense Concussion Assessment,Research,and Education Consortium conducted between 2015 and *** blood was collected within 48 h of injury to identify protein abnormalities at the acute and subacute *** with concussion were divided into 6 h post-injury(0-6 h post-injury)and after 6 h postinjury(7-48 h post-injury)*** applied a highly multiplexed proteomic technique that used a DNA aptamers assay to target 1305proteins in plasma samples from athletes with and without sport-related ***:A total of 140 athletes with concussion(79.3%males;aged 18.71±1.10 years,mean±SD)and 21 non-concussed athletes(76.2%males;19.14±1.10 years)were included in this *** identified 338 plasma proteins that significantly differed in abundance(319 upregulated and 19 downregulated)in concussed athletes compared to non-concussed *** top 20 most differentially abundant proteins discriminated concussed athletes from non-concussed athletes with an area under the curve(AUC)of 0.954(95%confidence interval:0.922-0.986).Specifically,after 6 h of injury,the individual AUC of plasma erythrocyte membrane protein band 4.1(EPB41)and alpha-synuclein(SNCA)were 0.956 and 0.875,*** combination of EPB41 and SNCA provided the best AUC(1.000),which suggests this combination of candidate plasma biomarkers is the best for diagnosing concussion in athletes after 6 h of ***:Our data suggest that proteomic profiling may provide novel diagnostic protein markers and that a combina

关键词： Biomarkers College athletes Concussion Mild traumatic brain injury Sport injury

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关系性评价和新时代教育转型

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南京师大学报（社会科学版） 2023年第4期 38-51页

作者： [美]肯尼斯·格根 [英]谢尔托·吉尔张新平(译) TAOS研究院斯沃斯莫尔学院全球人道和平促进研究所威尔士大学三一圣戴维分校南京师范大学教育科学学院南京210097

对公共教育能否使年轻人充分准备好应对未来世界复杂需求的质疑已经浮现。正如这类质疑所表明的,传统教育结构--类似工业化生产--并不符合这些需求。维系这种生产模式的关键乃是评估方式,通常都是以对学生表现进行测试和评分的形式。因... 详细信息

对公共教育能否使年轻人充分准备好应对未来世界复杂需求的质疑已经浮现。正如这类质疑所表明的,传统教育结构--类似工业化生产--并不符合这些需求。维系这种生产模式的关键乃是评估方式,通常都是以对学生表现进行测试和评分的形式。因此,亟需一种更具前景的模式替代当下的生产模式,并对传统评估方法进行相应变革。为应对所面临的挑战,本文提出了“基于关系”的教育过程观,以及以关系性过程为中心的评价概念,继而重点关注一系列体现对话、欣赏等实质的相关评价方式。这些评价方式不仅适用于学生评价,也适用于教师评价和学校评价。与此同时,倡导在课程教学中突出对关系性行为的倚重。总之,关系性评价是教育转型的关键所在,而教育转型也有利于发展不断扩大的学习社区,以及有关自身利益的关系性福祉评价。

关键词：关系性评价教育转型新时代

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