著者

劉 克華

出版者

愛知工業大学

雑誌

愛知工業大学研究報告. A, 基礎教育センター論文集 (ISSN:03870804)

巻号頁・発行日

vol.40, pp.75-78, 2005-03-31

---

There have been a lot of tales about a fox as a kind very mystical animal since the ancient times. In the ancient Japan, the fox was treated as INARI spiritual being on the one hand, and spurned as the evil personification on the other hand. This paper deals with the study of five ascects of the relation between fox and humankind, and the analysis of the reason and the background of the relation.

著者

藤田 康介 樋口 功

出版者

愛知工業大学

雑誌

愛知工業大学研究報告. A, 基礎教育センター論文集 (ISSN:03870804)

巻号頁・発行日

vol.36, pp.31-41, 2001-03-31

---

Abstract. Let f(x) be continuous on the interval [a, b]. The mean value M(f) of f(x) on [a, b] is defined as follows : [numerical formula] where we denote by F(x) the primitive function of f(x). In the case when F(x) is unknown, we must calculate Ad (f) by the aid of so-called approximate formulas. In this paper, we shall obtain first an asymptotic expansion of the mean value M(f) with the terms of Riemann's quadrature by parts and next its end-points correction formula. We remark that the celebrated Euler-Maclaurin's summation formula is an immediate consequence of our asymptotic expansion just obtained. Further we shall derive some approximate formulas of mean value based on the function-values at random points.

著者

太田 伸幸

出版者

愛知工業大学

雑誌

愛知工業大学研究報告. A, 基礎教育センター論文集 (ISSN:03870804)

巻号頁・発行日

vol.39, pp.33-43, 2004-03-31

---

This study aimed to examine the rivals, the interpersonal relations that presuppose competition. Among 393 high school students (242 men and 151 women)who cooperated, 165 students had a rival and 228 didn't. Students were investigated the consciousness toward competition of themselves and their rivals. Those who did not have a rival answered about a friend instead. First, a rival was categorized into "a standard", "a target person", or "a good match". It was shown that students with a rival had higher competitive consciousness and were more positive toward competition compared to the students without a rival. However, closeness was not a significant factor, which suggested that rivals were identified as friends at the same time. Second, path analyses revealed that each rival type had different path models. As for the relations of one-sided rival cognition ("a standard" and "a target person"), significant paths were drawn toward consciousness of the subject person only, but in the case of a relation of mutual rival cognition ("a good match"), paths toward consciousness of both the subject person and his/her rival were significant. This result suggested assuming the same cognitive process as him/her also to the rival.

著者

濱井 健人 隅山 孝夫 鈴木 元 吉田 英弘

出版者

愛知工業大学

雑誌

愛知工業大学研究報告. A, 基礎教育センター論文集 (ISSN:03870804)

巻号頁・発行日

vol.38, pp.21-29, 2003-03-31

---

2つのn次正方行列A,BがAB=E_nをみたせば必然的にBA=E_nとなることはよく知られた事実である。このことの証明は,行列式を用いて大学初年級程度の線形代数学の知識の範囲内でできる。しかしこの命題は本来行列式とは無関係であり,より一般的な代数学の定理から導くことができる。この論文においては,上の命題を系として含む一般的な代数学の定理を提示する。同時に,工学部系の数学教育では扱い難い環と圏の理論を,上述のことに関連させて教育内容とし得ることを示す。この論文は,愛知工業大学情報通信工学科平成12年度と平成13年度の卒業論文(参考文献[2],[6])を発展させたものである。