著者
小曽根 淳
出版者
京都大学数理解析研究所
雑誌
数理解析研究所講究録別冊 (ISSN:18816193)
巻号頁・発行日
no.50, pp.109-123, 2014-06

It is dominant theory that the table of trigonometric functions was first introduced into Japan in chóngzhēn-lìshū (『崇禎暦書』) on 1727. We have found a document indicating that the Dutch taught trigonometry to the Administration of the Tokugawa Shogunate in 1650. In addition, the Dutch let the Japanese copy the table of trigonometric functions and told them its meaning. Regrettably, they did not seem to understand the lecture sufficiently. In this paper, we have two purposes as follows. One is to identify the table which was used then. The second is to discuss the relationship between the 1650's table and 1727 's table. Then, we will conclude the fact that Pitiscus was the author of both tables. At last, we would like to point out that argument above is based on the 17^{mathrm{t}mathrm{h}} century data found on Google books and several University' s libraries.
著者
CHAKRABORTY HIMADRI SHEKHAR 三枝崎 剛 大浦 学
出版者
京都大学数理解析研究所
雑誌
数理解析研究所講究録 (ISSN:18802818)
巻号頁・発行日
no.2189, pp.127-140, 2021-07

In this paper, we introduce the concept of the complete joint cycle index and the average complete joint cycle index, and discuss a relation with the complete joint weight enumerator and the average complete joint weight enumerator respectively in coding theory.