当前位置: X-MOL 学术Indian Journal of History of Science › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Computing the number of perfumes that constitute the gandhārṇava and kacchapuṭa of Varāhamihira
Indian Journal of History of Science Pub Date : 2021-10-29 , DOI: 10.1007/s43539-021-00012-2
Shriram Chauthaiwale 1 , Jayant Deopujari 2 , Atharva Chauthaiwale 3
Affiliation  

The sixth-century Indian scholar Varāhamihira elaborated on the processes for the preparation of perfumes in the ‘gandhayukti’ chapter of the Bṛhatsaṁhitā. He adapted the combinatorial analysis and magic square structure for arriving at the possible number of perfumes from the set of specified substances. This attempt is an excellent example of the multidisciplinary thought process of the Indian scholars in general and Varāhamihira in particular. This paper focuses on the verses under the captions ‘gandhārṇava’ and ‘kacchapuṭa’. In the first case, four substances are selected from sixteen, and the chosen four are permuted with the pre-defined proportions. In the second case, selected substances are placed in a 4 × 4 magic square. The claims by Varāhamihira and the same amended by the commentator Bhaṭṭotpala for the number of perfumes are verified here. The constraints imposed by Varāhamihira in the first case on the proportions of the two substances are considered. The correct number for the possible perfumes is determined mathematically in the first case and by the specially designed computer program in the second case. Valid lists of perfumes with ingredients obtained as the output are attached in the form of web links in the first case, and the same is placed in the Appendix for the second case.



中文翻译:

计算构成 Varāhamihira 的 gandhārṇava 和 kacchapuṭa 的香水数量

第六世纪的印度学者伐罗诃密希罗阐述了在“准备的香水的过程gandhayukti中的”章Bṛhatsaṁhitā。他调整了组合分析和幻方结构,以从一组指定的物质中得出可能的香水数量。这一尝试是印度学者尤其是 Varāhamihira 的多学科思维过程的一个很好的例子。本文重点介绍标题下的经文“ gandhārṇava ”和“ kacchapuṭa”'。在第一种情况下,从 16 种物质中选择四种物质,并按照预先定义的比例排列所选择的四种物质。在第二种情况下,选定的物质被放置在一个 4 × 4 的幻方中。Varāhamihira 的声明和评论员 Bhaṭṭotpala 对香水数量的修正在这里得到验证。考虑了 Varāhamihira 在第一种情况下对两种物质的比例施加的限制。可能香水的正确数量在第一种情况下由数学确定,在第二种情况下由专门设计的计算机程序确定。在第一种情况下,以网络链接的形式附有作为输出获得的成分的有效香水清单,对于第二种情况,同样放在附录中。

更新日期:2021-10-30
down
wechat
bug