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Journal articles on the topic 'Sangakubu'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2025

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1

Pjanić, Karmelita, and Mirjana Vuković. "Sangaku fan shape problems." Scientific Issues Jan Długosz University in Częstochowa. Mathematics 23 (2018): 45–55. http://dx.doi.org/10.16926/m.2018.23.04.

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2

Batchelor, Murray T. "The art of sangaku." Nature Physics 4, no. 9 (2008): 669. http://dx.doi.org/10.1038/nphys1069.

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3

Jargalsaikhan, Davaajargal, Enkhbat Rentsen, Dulguuntuya Bataa, and Bayanjargal Darkhijav. "Simulation on Sangaku problem using optimization methods." Journal of Institute of Mathematics and Digital Technology 5, no. 1 (2023): 19–29. http://dx.doi.org/10.5564/jimdt.v5i1.3316.

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Sangaku problem is one of Japanese Temple Geometry problems which was studied in Hidetoshi Fukugawa[1]. One of the Sangaku problem is packing 6 equal circles in rectangle of 1:1.934798 size. We examine the problem from a view point of optimization theory and algorithm. We show that Sangaku optimization problem belongs to a class of nonconvex optimization and propose a penalty method for solving the problem numerically. In numerical expirements, we consider equal and unequal 6 circles. Computational results obtained on Python Jupyter Notebook are provided. Сангаку бодлогыг оптимизацийн аргаар б

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4

Boonsomchua, Perawit. "Generalizing the Equal Incircles Theorem: Insights from Sangaku Problems." European Journal of Pure and Applied Mathematics 17, no. 4 (2024): 4135–46. http://dx.doi.org/10.29020/nybg.ejpam.v17i4.5300.

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Sangaku problems are traditional Japanese geometrical puzzles, often displayed in religious temples, that have intrigued mathematicians for centuries. This study aims to generalize the Equal Incircles Theorem, extending Angela Drei’s proof to N-circles, by applying the trigonometric method alongside foundational mathematical tools, including mathematical induction, Heron’s formula, and the telescoping product. A generalized equation for N circles based on the Equal Incircles Theorem is derived through explicit mathematical formulation and characterization. The findings deepen our understanding

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5

Schultz, David, and Enrico Serpone. "Sangaku Optimization Problems: An Algebraic Approach." Mathematics Teacher 111, no. 5 (2018): 385–89. http://dx.doi.org/10.5951/mathteacher.111.5.0385.

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During the Edo Period (1603-1867), Japan was isolated from the influence of western mathematics. Despite this isolation, Japanese mathematics, called Wasan, flourished, and a unique approach to present mathematical problems was developed. Painted wooden tablets called sangaku were hung on display at Shinto shrines and Buddhist temples for recreational enjoyment and religious offerings. More than 900 tablets have been discovered with problems developed by priests, samurai, farmers, and children. The vast majority of these problems were solved using analytic geometry and algebraic means, and the

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6

Clark, David. "Seeking Sangaku: Visiting Japan's Homegrown Mathematics." Math Horizons 24, no. 2 (2016): 8–11. http://dx.doi.org/10.4169/mathhorizons.24.2.8.

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7

Bosch, Robert. "105.12 Two solutions to a Sangaku problem." Mathematical Gazette 105, no. 562 (2021): 139–42. http://dx.doi.org/10.1017/mag.2021.25.

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8

Aravind, P. K. "Variations on a sangaku problem involving kissing spheres." Mathematical Gazette 99, no. 546 (2015): 504–15. http://dx.doi.org/10.1017/mag.2015.88.

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9

ATAGO, Kuniyasu. "The Place of Wonhyo in the Jodo Sangaku Busso Benshu." JOURNAL OF INDIAN AND BUDDHIST STUDIES (INDOGAKU BUKKYOGAKU KENKYU) 48, no. 1 (1999): 147–52. http://dx.doi.org/10.4259/ibk.48.147.

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10

Jasny, Aaron P. "The Novelty of Nature: Kojima Usui and Hierarchies of Genre in Modern Japanese Literature." Journal of Japanese Studies 50, no. 1 (2024): 99–123. http://dx.doi.org/10.1353/jjs.2024.a918584.

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Abstract: Kojima Usui's (1873–1948) efforts to craft a Japanese mountain literature ( sangaku bungaku ) present a fascinating case study of the Meiji-period (1868–1912) creation of a national literature that could address the issues faced by individuals in modernizing Japan. Navigating a complex web of nascent modern genres and writing styles, Japan's literary tradition, and international mountain literature, Usui deployed kikōbun (travel writing) to both align himself with and differentiate himself from existing traditions and trends. Usui's idiosyncratic negotiation of traditional and modern

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11

Hosking, Rosalie Joan. "Solving Sangaku: A Traditional Solution to a Nineteenth Century Japanese Temple Problem." Journal for History of Mathematics 30, no. 2 (2017): 53–69. http://dx.doi.org/10.14477/jhm.2017.30.2.053.

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12

Stupel, Moshe, Avi Sigler, and Idan Tal. "An Interesting Dynamic Investigation of a Sangaku Problem, and What Else Can Be Asked, as a Research Activity." International Journal for Technology in Mathematics Education 26, no. 1 (2019): 27–34. http://dx.doi.org/10.1564/tme_v26.1.03.

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An interesting Sangaku problem was chosen and a multidirectional study was performed, which included finding the locus of a circle’s center moving while being tangent to two circles. It also included finding the radius of that circle given the datum that it is also tangent to the side of an isosceles triangle. Two different proofs are presented of the conserved property of the problem. To exploit the value of the problem from the methodological point of view and to enrich the mathematical knowledge, the problem was expanded by adding a few questions in the style of what else can be asked about

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13

YAMADA, Naotoshi, and Michiko YAJIMA. "“Nihon Sangaku Shi Taiyo” Translated from “Skizze der Orographie von Japan” (E. Naumann, 1893c)." Journal of Geography (Chigaku Zasshi) 120, no. 4 (2011): 692–704. http://dx.doi.org/10.5026/jgeography.120.692.

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14

OZAKI, Hirokazu, Izumi WATANABE, and Katsuji KUNO. "Geographical Distribution and Seasonal Variation of Heavy Metal Concentration around Kamikochi, Chubu Sangaku National Park." Journal of Environmental Chemistry 12, no. 3 (2002): 571–83. http://dx.doi.org/10.5985/jec.12.571.

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15

Wong, Man Fai, Xintong Qi, and Chee Wei Tan. "EuclidNet: Deep Visual Reasoning for Constructible Problems in Geometry." Advances in Artificial Intelligence and Machine Learning 03, no. 01 (2023): 839–53. http://dx.doi.org/10.54364/aaiml.2023.1152.

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In this paper, we present a visual reasoning framework driven by deep learning for solving constructible problems in geometry that is useful for automated geometry theorem proving. Constructible problems in geometry often ask for the sequence of straightedge-and-compass constructions to construct a given goal given some initial setup. Our EuclidNet framework leverages the neural network architecture Mask R-CNN to extract the visual features from the initial setup and goal configuration with extra points of intersection, and then generate possible construction steps as intermediary data models

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16

KONNO, Yasuhiko. "Lotic aquatic insects in the Azusa River, in the Kamikochi Valley of Chubu Sangaku National Park." Japanese Journal of Limnology (Rikusuigaku Zasshi) 65, no. 1 (2004): 21–26. http://dx.doi.org/10.3739/rikusui.65.21.

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17

Kawasaki, Kazuo, Keiji Horikawa, and Hideo Sakai. "Environmental Magnetism of Roadside Soil Contamination in the Restricted Bijyodaira Area of Mt. Tateyama, Toyama, Japan." Asian Journal of Water, Environment and Pollution 12, no. 2 (2015): 1–11. http://dx.doi.org/10.3233/ajw-2015-12_2_02.

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Environmental magnetic techniques have been shown to be highly useful for investigating roadside pollution in Europe, North America and Asia. However, no studies have reported such magnetic monitoring in Japan. Here we report environmental magnetic results along the Tateyama-Kurobe Alpine route at the Bijyodaira area of Mt. Tateyama in Toyama, which is part of the Special Protection Zone of the Chubu Sangaku National Park. In-field susceptibility measurements from 17 sites (297 points) as well as in-laboratory susceptibility measurements from six sites (75 surface and auger core soil samples)

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18

KIMURA, Goro, and Kimio HIRABAYASHI. "Adult caddisflies (Trichoptera) collected by a light trap in the Myojin Area in Kamikochi, Chubu Sangaku National Park, Japan." Medical Entomology and Zoology 64, no. 3 (2013): 183–90. http://dx.doi.org/10.7601/mez.64.183.

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19

Ozaki, Hirokazu, Izumi Watanabe, and Katsuji Kuno. "As, Sb and Hg distribution and pollution sources in the roadside soil and dust around Kamikochi, Chubu Sangaku National Park, Japan." GEOCHEMICAL JOURNAL 38, no. 5 (2004): 473–84. http://dx.doi.org/10.2343/geochemj.38.473.

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20

ARAKAWA, Ryo, Kiyoshi KAMIMURA, Mamoru WATANABE, Hiromu KURAHASHI, and Senji KAWAI. "Migration of blow flies from low land to high land in Chubu Sangaku National Park, confirmed by mark-release and recapture method." Medical Entomology and Zoology 42, no. 4 (1991): 275–80. http://dx.doi.org/10.7601/mez.42.275.

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21

Milner, Alexander M., Susanna A. Wood, Catherine Docherty, Laura Biessy, Masaki Takenaka, and Koji Tojo. "Winter diet of Japanese macaques from Chubu Sangaku National Park, Japan incorporates freshwater biota." Scientific Reports 11, no. 1 (2021). http://dx.doi.org/10.1038/s41598-021-01972-2.

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AbstractThe Japanese macaque (Macaca fuscata) is native to the main islands of Japan, except Hokkaido, and is the most northerly living non-human primate. In the Chubu Sangaku National Park of the Japanese Alps, macaques live in one of the coldest areas of the world, with snow cover limiting the availability of preferred food sources. Winter is typically a bottleneck for food availability potentially resulting in marked energy deficits, and mortality may result from famine. However, streams with groundwater upwelling flow during the winter with a constant water temperature of about 5 °C are ea

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22

Vallo, Dusan. "Visualization of Selected Sangaku Problem as Didactical Phenomenon in GeoGebra." TEM Journal, May 27, 2021, 540–45. http://dx.doi.org/10.18421/tem102-08.

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In this article, we will focus on visualization solutions within specific geometric problem of the category Sangaku - historical mathematical problems from Japan. We also highlight didactical advantages of experimental activities in the teaching of mathematics and the role of the visualization via using dynamical geometry software GeoGebra.

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23

Unger, J. Marshall. "Sangaku Problems About Ellipses: Why Primary Sources Matter." Mathematical Intelligencer, August 16, 2021. http://dx.doi.org/10.1007/s00283-021-10105-6.

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24

Clark, David, and Todd Munson. "On five sangaku problems appearing in Yamaguchi's travel diary." Historia Mathematica, November 2022. http://dx.doi.org/10.1016/j.hm.2022.10.003.

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25

Okumura, Hiroshi. "A sangaku problem involving two circles and an equilateral triangle." College Mathematics Journal, August 8, 2022, 1–6. http://dx.doi.org/10.1080/07468342.2022.2099703.

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26

Unger, J. Marshall. "Correction to: Sangaku Problems About Ellipses: Why Primary Sources Matter." Mathematical Intelligencer, December 20, 2021. http://dx.doi.org/10.1007/s00283-021-10157-8.

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27

McNaughton, D.L. "CULTURAL SOULS REFLECTED IN THEIR MATHEMATICS: THE SPENGLERIAN INTERPRETATION." August 4, 2015. https://doi.org/10.5281/zenodo.34387.

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This article examines Oswald Spengler's claim that similarities may be discerned in the style of mathematics, art and music developed by a particular High Culture – looking first at his discussions of the Ancient Greeks and how their thought- processes differed from that of Western Europeans, as well as from the Persians and Arabs. An attempt is then made to extend Spengler's theory to the Ancient Egyptians (referring to their Rhind Papyrus) and to the Sino-Japanese (by appealing to their 'Sangaku' mathematical art-forms). Finally, it is suggested that we may already be a

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28

Wong, Peter. "On a sangaku of Sugino'o Shrine (Yamagata) and Yamaguchi Kanzan's second trip." Historia Mathematica, August 2022. http://dx.doi.org/10.1016/j.hm.2022.01.007.

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29

Enkhbat, Rentsen, Masaru Kamada, Erdene-Oldokh Enkhtsolmon, and Hidetoshi Fukagawa. "Optimization and Optimal Control Approach to Japanese Sangaku Six Equal Circles Problem." Journal of Mathematical Sciences, March 28, 2024. http://dx.doi.org/10.1007/s10958-024-07060-w.

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30

Sparavigna, Amelia Carolina. "Japanese Temple Geometry: A Digital Sangaku About a Regular Pentagon and the Golden Ratio." SSRN Electronic Journal, 2016. http://dx.doi.org/10.2139/ssrn.2836615.

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31

Sýkora, Jan. "Universities or “Professional” Schools: Where Are the Limits of the Academia-Industry Linkage (sangaku renkei) Policy?" Acta Orientalia Vilnensia 6, no. 1 (2005). http://dx.doi.org/10.15388/aov.2005.1.3987.

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Charles University, Prague We touched this question for the first time about three years ago when we had started the tricky process of obtaining the official accreditation of our newly proposed curriculum in Japanese studies, which is the basic precondition for having right to provide education, to award degrees, and for gaining the financial support from the Ministry of Education, of course. The description of this process itself, which is mainly in hands of ministerial bureaucrats, would be, without any doubts, an excellent topic for another special lecture. However, I intend to focus

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32

Ohara, Miki, Hiromi Yoshida-Komiya, Miho Ono-Okutsu, Akiko Yamaguchi-Ito, Toshifumi Takahashi, and Keiya Fujimori. "Metformin reduces androgen receptor and upregulates homeobox A10 expression in uterine endometrium in women with polycystic ovary syndrome." Reproductive Biology and Endocrinology 19, no. 1 (2021). http://dx.doi.org/10.1186/s12958-021-00765-6.

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Abstract Background Polycystic ovary syndrome (PCOS) causes anovulation and is associated with a reduced clinical pregnancy rate. Metformin, which is widely used for treating PCOS, can lead to successful pregnancy by restoring the ovulation cycle and possibly improving endometrial abnormality during the implantation period. However, the mechanism by which metformin improves endometrial abnormality remains unknown. Women with PCOS have an aberrant expression of steroid hormone receptors and homeobox A10 (HOXA10), which is essential for embryo implantation in the endometrium. Methods In this stu

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33

Carter, Caleb. "Gendai Shugendō no shūkyō shakaigaku: Sangaku shinkō no seichi Yoshino Kumano no kankōka to bunka shigenka 現代修験道の宗教社会学—山岳信仰の聖地「吉野・熊野」の観光化と文化資源化 (The religious social study of contemporary Shugendō: Tourist development and cultural consumption of mountain worship at the sacred sites of Yoshino and Kumano), by Amada Akinori 天田顕徳". Journal of Religion in Japan, 12 листопада 2020, 1–7. http://dx.doi.org/10.1163/22118349-20200007.

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