A note on best selection of quasi Descartes systems

Let $\{u_0, \dots, u_n\}$ be a quasi Descartes system of $C[a, b]$ and $p$ a positive number with $1 < p < \infty$ or $\infty$. In this note, we search for an $m (\leqq n)$ dimensional subspace that possesses the least distance from $u_n$ among all $m (\leqq n)$ dimensional subspaces of ${\rm Span}\{ u_0, \ldots, u_{n-1}\}$

ギム キョウイク ガッコウ ニオケル ショウチュウ イッカン キョウイク スイシン ノ テガカリ シセツ イッタイガタ ギム キョウイク ガッコウ ノ シツテキ ケンショウ オ トオシテ

P(論文)departmental bulletin pape

Activity of Health Education at Primary School Attached to the School Education, Okayama University

　附属小学校において，日頃の保健室で児童との関わりから気づいた課題と体育科保健領域とのつながりを意識しながら，歯・口を題材に，からだの発育発達についての保健指導を行った。同時に，養護教諭養成をになう附属小学校として，保健指導に取り組む際のプロセスを明確にすることを目的に，実践の振り返りを行った。指導計画の作成から実践までの過程を，児童の学び，授業者の反省，学級担任の評価についてまとめ，保健指導の展開にいかす視点を検討したので報告する

Spaces of approximating functions with Haar-like conditions

Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces. The aim of this book is to introduce Haar-like spaces, which are Haar and weak Tchebycheff spaces under special conditions. It studies topics of subclasses of Haar-like spaces, that is, classes of Tchebycheff or weak Tchebycheff spaces, spaces of vector-valued monotone increasing or convex functions and spaces of step functions. The notion of Haar-like spaces provides a general point of view which includes the theories of approximation from the above spaces. The contents are largely new. Graduate students and researchers in approximation theory will be able to read this book with only basic knowledge of analysis, functional analysis and linear algebra

Thermoregulatory and cardiovascular responses in the elderly towards a broad range of gradual air temperature changes

This study aimed to determine age-related differences in thermoregulatory and cardiovascular responses to a wide range of gradual ambient temperature (T-a) changes. Morphologically matched normotensive elderly and young males participated. The participants wearing only shorts rested during the 3-h experiment. After 30 min of baseline at 28 degrees C, T-a increased linearly to 43 degrees C in 30 min (warming) and then gradually decreased to 13 degrees C in 60 min (cooling). T-a was rewarmed to 28 degrees C in 30 min (rewarming), and that temperature was maintained for an additional 30 min (second baseline). During the warming phase, there were no age-related differences in blood pressure (BP) and rectal temperature (T-re), despite a significantly lower cutaneous vascular conductance and heart rate in the elderly (P < 0.05). At the end of the cooling phase, systolic blood pressure (SBP) in the elderly was significantly higher than the young (155.8 +/- 16.1 and 125.0 +/- 12.5 mmHg, P < 0.01). There was a consistent age group difference in SBP during rewarming. Mean skin temperature was significantly lower in the elderly during rewarming (P < 0.05). T-re decreased more in the elderly and was significantly lower at the end of the experiment than the younger participants (36.78 +/- 0.34 and 37.01 +/- 0.15 degrees C, P < 0.05). However, there were no age group differences in thermal sensation. In conclusion, even normotensive elderly participants have a greater and more persistent BP response to cold than younger adults, suggesting that the elderly might be at a higher risk of cardiac events during cooling and subsequent rewarming

Despite low viral titer in saliva samples, Sanger-based SARS-CoV-2 spike gene sequencing is highly applicable for the variant identification

Abstract Background This study aimed to compare the performance of Sanger-based SARS-CoV-2 spike gene sequencing and Next Generation Sequencing (NGS)-based full-genome sequencing for variant identification in saliva samples with low viral titer. Methods Using 241 stocked saliva samples collected from confirmed COVID-19 patients between November 2020 and March 2022 in Hiroshima, SARS-CoV-2 spike gene sequencing (nt22735-nt23532) was performed by nested RT-PCR and Sanger platform using in-house primers. The same samples underwent full-genome sequencing by NGS using Illumina NextSeq2000. Results Among 241 samples, 147 were amplified by both the Sanger and the Illumina NextSeq2000 NGS, 86 by Sanger only, and 8 were not amplified at all. The overall amplification rates of Illumina NextSeq2000 NGS and Sanger were 61% and 96.7%, respectively. At low viral titer (< 103 copies/mL), Illumina NextSeq2000 NGS provided 19.2% amplification, while Sanger was 89.7% (p < 0.0001). Both platforms identified 38 wild type, 54 Alpha variants, 84 Delta variants, and 57 Omicron variants. Conclusions Our study provided evidence to expand the capacity of Sanger-based SARS-CoV-2 spike gene sequencing for variants identification over full-genome by Illumina NextSeq2000 NGS for mass screening. Therefore, the feasible and simple Sanger-based SARS-CoV-2 spike gene sequencing is practical for the initial variants screening, which might reduce the gap between the rapid evolution of SARS-CoV-2 and its molecular surveillance