• 한국수학사학회지
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• 제33권4호
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• pp.223-236
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• 2020

We examine how the formulas of the area and the circumference of a circle related to pi in the ancient Egyptian and the Old Babylonian fields of mathematics have been controversial. In particular, the Great Pyramid of Khufu, Ahmes Papyrus Problem 48 and Moscow Mathematical Papyrus Problem 10 have raised extensive controversy over π. We propose the pi-theory of the Great Pyramid of Khufu as a dynamic symmetry based on Euclid's rectangle. In addition, we argue that the ancient Egyptian or Old Babylonian mathematics influenced Solomon's Molten Sea, Plato and Archimedes' pi.

• 복식
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• 제42권
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• pp.25-42
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• 1999

This study aims to prove that the fact that minority races in the north-eastern region contributed sable skin to the Quing Dynasty might be related to Cho-Sun of King Muryong in the Warring states period because documents are available here and there. The Chinese had been using fur clothing since ancient times but we cannot find any mention that they had used sable skin. This fact shows that sable skin was not widely used because of its rarity. Cho-pi had been used in making costume on a large scale from the period of the Han Dynasty to the end of the Quing Dynasty. Cho-pi was very rare and it was used as a measure of bartering. China met the demand of cho-pi by the Cho-pi contributions of the frontier minority races. It might bwe that the high demand of Cho-pi in the Quing Dynasty forced minority races to contribute Cho-pi The documents concerning Cho-pi in the north-eastern region are of great importance not only to the history of costume but also to the history of ancient economy and national culture.

• 한국의사학회지
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• 제24권1호
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• pp.31-41
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• 2011

• 한국수학사학회지
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• 제16권1호
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• pp.9-16
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• 2003

This paper aims to investigate how Chinese and Korean evaluate $\pi$ and measure tile area of circle by reviewing the problems in the old mathematical books. The books are Gu-Jang-San-Sul(The nine chapters on tile mathematical art) for China and Gu-Il-Jib for Chosun Dynasty. The result shows that our ancestors used the different values of ${\pi}$ in relation to the accuracy and the various methods for measuring the area of circle.

• 대한한의학원전학회지
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• 제35권3호
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• pp.91-106
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• 2022

Objectives : To examine the developmental process of the Pi-Yin theory since the Huangdineijing to Miu Xiyong. Methods : Related contents since the Huangdineijing to Miu Xiyong was searched to examine the development of the Pi-Yin theory. Results & Conclusions : In the Huangdineijing and Shanghanzabinglun, the origin of the Pi's body fluids that nurtures everywhere is explained to be the Wei, which limited the development of the Pi-Yin theory. Liu Wansu understood tonification of the Pi by means of moistening medicinals to mean adding Pi-Yin based on the manifestation of dryness in the case of dampness deficiency which is the main Qi of the Pi and Wei. Zhu Danxi understood adding Pi-Yin as accomplished by supplementing Blood. The understanding of the nature of Pi to be 'likes dryness and hates dampness' leading to thinking that drying dampness tonifies the Pi was the reason why the Pi-Yin theory could not develop fully. Miu Xiyong accepted theories of both Li Dongyuan and Zhu Danxi, and constructed the Pi-Yin theory to bring caution to the unwanted effects of using Baizhu wrongly. Through examination of the developmental process of the Pi-Yin theory, it could be understood that rather than focusing on the physiological function of the Pi-Yin and ways of maintaining its proper functioning, the theory was developed to bring caution to using medicinals with dry and hot properties that could dry the Pi-Yin.

• 복식
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• 제34권
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• pp.151-168
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• 1997

Pi was worn like a shawl or scarf in Western costume In a broad sense it means a skirt a towel a vest and a shawl However the subject of this study has limited a naarrow sense a long shawl Historically it appeared since Jin to Chung dynasty and had various names according to each dynasty Also Pi was changed its shape colour pat-terns and details with various names. Therefore the purpose of the study is to ana-lyze the formative characteristics of pi includ-ing how to wear it through Chinese history.

• Parasites, Hosts and Diseases
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• 제53권1호
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• pp.59-64
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• 2015

This study was conducted to investigate the life history, morphology, and maturation of larval stages and adult worms of Fasciola gigantica in experimental mice. Lymnaea auricularia rubiginosa was used as the intermediate host, and Oryza sativa was used for encystment of the metacercariae, while Mus musculus was used as the definitive host for maturation study. Fresh eggs from the gall bladder of water buffaloes fully developed into embryonated ones and hatched out at days 11-12 after incubation at about $29^{\circ}C$. Free-swimming miracidia rapidly penetrated into the snail host, and gradually developed into the next larval stages; sporocyst, redia, and daughter redia with cercariae. Fully-developed cercariae were separated from the redia and shed from the snails on day 39 post-infection (PI). Free-swimming cercariae were immediately allowed to adhere to rice plants, and capsules were constructed to protect metacercariae on rice plants. Juvenile worms were detected in intestines of mice at days 3 and 6 PI, but they were found in the bile duct from day 9 PI. Juvenile and adult flukes were recovered from 16 mice experimentally infected with metacercariae, with the average recovery rate of 35.8%. Sexually mature adult flukes were recovered from day 42 PI. It could be confirmed that experimentally encysted metacercariae could infect and develop to maturity in the experimental host. The present study reports for the first time the complete life history of F. gigantica by an experimental study in Thailand. The obtained information can be used as a guide for prevention, elimination, and treatment of F. gigantica at environment and in other hosts.

• 한국수학사학회지
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• 제24권2호
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• pp.31-46
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• 2011

유클리드의 저작 중 원론을 제외한 다른 저작들은 상대적으로 널리 알려지지 않았고 이들 저작에 관한 연구 역시 충분히 이루어지지 않았다. 이 글에서는 유클리드의 저작 중 하나인 분할론을 그 역사와 함께 소개하고, 분할론이 어떤 내용으로 어떻게 구성되어 있는지 분석한 후, 분할론의 수학교육적인 의의와 활용 방안에 대하여 간략히 살펴본다.

• 대한수학회보
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• 제56권2호
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• pp.491-499
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• 2019

The problem of finding fast computing methods for Bernoulli numbers has a long and interesting history. In this paper, the author provides new proofs for two lacunary recurrence relations with gaps of length four and eight for the Bernoulli numbers. These proofs invoked the fact that the nth powers of ${\pi}^2$, ${\pi}^4$ and ${\pi}^8$ can be expressed in terms of the nth elementary symmetric functions.

• Molecules and Cells
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• 제42권9호
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• pp.637-645
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• 2019

Effector-triggered immunity (ETI) is an effective layer of plant defense initiated upon recognition of avirulence (Avr) effectors from pathogens by cognate plant disease resistance (R) proteins. In rice, a large number of R genes have been characterized from various cultivars and have greatly contributed to breeding programs to improve resistance against the rice blast pathogen Magnaporthe oryzae. The extreme diversity of R gene repertoires is thought to be a result of co-evolutionary history between rice and its pathogens including M. oryzae. Here we show that Pii is an allele of Pi5 by DNA sequence characterization and complementation analysis. Pii-1 and Pii-2 cDNAs were cloned by reverse transcription polymerase chain reaction from the Pii-carrying cultivar Fujisaka5. The complementation test in susceptible rice cultivar Dongjin demonstrated that the rice blast resistance mediated by Pii, similar to Pi5, requires the presence of two nucleotide-binding leucine-rich repeat genes, Pii-1 and Pii-2. Consistent with our hypothesis that Pi5 and Pii are functionally indistinguishable, the replacement of Pii-1 by Pi5-1 and Pii-2 by Pi5-2, respectively, does not change the level of disease resistance to M. oryzae carrying AVR-Pii. Surprisingly, Exo70F3, required for Pii-mediated resistance, is dispensable for Pi5-mediated resistance. Based on our results, despite similarities observed between Pi5 and Pii, we hypothesize that Pi5 and Pii pairs require partially distinct mechanisms to function.