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A Simple Proof of the Relationship among the Dimensions of Linear Sub-Spaces
application/pdfWe give here a simple proof of the relationship among the dimensions of linear sub-spaces.論文(Article)departmental bulletin pape
Clarification of subject content by two-dimensional abstraction : an example of tuck jumping practicein vaulting box exercise
application/pdfThe purpose of this study is to examine the methods to clarify subject content by two-dimensional abstraction through the analysis of tuck jumps in vaulting box exercise as a starting point of the study of apparatus gymnastics. If the action/reaction of forces is captured by vector diagrams that show the composition and decomposition of forces as a perspective of two-dimensional abstraction, tuck jumps on a mat can be understood as a jump without running on a vaulting box and a suitable teaching material for analyzing and synthesizing the quality of exercise. There were following results and problems of this practical research. It was shown that the learning by tuck jumps on a mat in "rhythmic words" that capture the motion process as a whole has a transfer effect as rhythm words on the vaulting box. The study also showed that the use of hand- and foot-shaped cards enhanced the quality of group learning, and the use of small-step materials increased motivation for learning skills. In addition, trunk fixation, which enables the action/reaction of force, was found to be linked to short exhalations, and this was presented as a perspective of the clarification of subject content.論文(Article)departmental bulletin pape
HRD (Human Resource Development) in the age of AI. : a survey of e-Learning in the universities 2
application/pdf論文(Article)departmental bulletin pape
A Simple Proof and Generalization of Frobenius' Theorem in Linear Algebra
application/pdfWe give here another simple proof and a generalization of Frobenius' theorem in Linear Algebra which are new as far as the author knows.論文(Article)departmental bulletin pape
アルコール依存症者のレジリエンスとセルフヘルプグループ活動との関連に関する研究:レジリエンスの向上と支援
博士(社会福祉学)application/pdfapplication/pdf学位論文(Thesis)doctoral thesi
Examples for which w(A)=1/2‖A‖holds
application/pdfWe give here some examples for which w(A)=1/2‖A‖holds.論文(Article)departmental bulletin pape