• East Asian mathematical journal
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• v.29 no.5
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• pp.545-550
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• 2013

A remarkably large number of integral formulas have been investigated and developed. Certain large number of integral formulas are expressed as derivatives of some known functions. Here we choose to recall such a formula to present explicit expressions in terms of Gamma function, Psi function and Polygamma functions. Some simple interesting special cases of our main formulas are also considered. It is also pointed out that the same argument can establish explicit integral formulas for other those expressed in terms of derivatives of some known functions.

• Journal of Electrical Engineering and information Science
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• v.2 no.6
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• pp.116-122
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• 1997

The audible noise produced by corona discharge in high voltage transmission lines is the most important line design consideration. In this paper, more accurate and useful formulas for predicting the A-weighted audible noise during heavy and light rain in alternative current (AC) transmission lines are proposed through comparison with the existing formulas. The proposed formulas are developed by the applications of evolutionary computations (ECs) to audible noise data base from long-term measurement.

• Communications of the Korean Mathematical Society
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• v.33 no.1
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• pp.207-236
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• 2018

We obtain recursion formulas for q-hypergeometric and q-Appell series. We also find recursion formulas for the general double q-hypergeometric series. It is shown that these recursion relations can be expressed in terms of q-derivatives of the respective q-hypergeometric series.

• Bulletin of the Korean Mathematical Society
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• v.58 no.5
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• pp.1261-1278
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• 2021

Recently, a new kind of multiple zeta value of level two T(k) (which is called multiple T-value) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple T-values, and study several duality formulas of weighted sum formulas about alternating multiple T-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple T-values can also be obtained.

• Journal of Korean Medical classics
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• v.26 no.1
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• pp.27-38
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• 2013

Objective : This article shows that while Seishu Hanaoka(華岡靑洲) is known to have developed an effective anesthetic formula composed of traditional herbs and performed the world first partial mastectomy under a general anesthesia in 1804, anesthetic formulas very similar to those developed by him were widely recorded and deemed used in Japan and Northeast Asia before his invention. The origin of the formulas will be tracked down to compare with the several formulas broadly administered in the region. Methods : Historical literature analysis was adopted to achieve the objective. 1. Mayaku-ku (麻藥考): this book is the main medical classic by Nakagawa Syutei(中川修亭) that introduces Seishu Hanaoka, his anesthetic formulas and mastectomy. 2. Northeast medical classics: Seuideukhyobang (世醫得效方) in 1337, Uibangryuchui (醫方類聚), Uihui(宜彙) and so on. Result : Herbs such as aconitum and datura were applied as a anesthetic agent early on before the Chinese Yuan dynasty. In Korea as well, some old medical books documented such use of those herbs and relevant formulas. Conclusion : Formulas that counted as invented and employed by Seishu Hanaoka as anesthetics, in fact, had been widely known and used in the region before his era. We should pay due attention to his creativity that combined a western surgical intervention and traditional anesthetic agents and successfully performed a newly introduced surgical practice in Japan. The point is that Hanaoka took note of anesthetic herbs or formulas traditionally inherited in North-east Asian medicine and successfully applied them to the surgical procedures for breast cancer, or mastectomy and mammotomy. This history alerts us to neglected or forgotten potentials of traditional medicine in anesthetic treatment and more.

• The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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• v.29 no.2
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• pp.82-97
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• 2016

Objective : The aim of this study was to search and analyze the herbal combinations in formulas used to treat atopic dermatitis in Korean medicine. Methods : Articles on the atopy were searched for from among those registered on the OASIS up to December, 2015. After the articles were reviewed, information on both internal and external formulas for atopy was constructed. Then, the herbal combination in the formulas was analyzed by using frequency distribution, network analysis, and data mining. Results : The combination of 'Saposhnikovia Radix - Schizonepetae Spica' and 'Scutellariae Radix - Phellodendri Cortex ' was mostly used in both internal and external formulas to treat atopy in articles. By using the network analysis and data mining, twelve combinations including ' (Saposhnikovia Radix, Ponciri Fructus Pericarpium) - (Platycodi Radix, Schizonepetae Spica) ' were discovered. Five effective combinations were also searched for external formulas.Conclusions : This study could help researchers to analyze the formulas in various ways. Moreover, the herbal combination in atopy formulas could be used to search for atopy formulas in other databases or make a new prescription.

• Journal of Society of Preventive Korean Medicine
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• v.27 no.1
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• pp.69-87
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• 2023

Objectives : This study collected and analyzed information related to preventive formulas from continuously published and revised COVID-19 treatment guidelines in various regions of China. Methods : We collected treatment guidelines published in different regions of China and categorized formulas for prevention and medical observation period listed in them according to the editions. The categorized preventive formulas were compared by type and target group. Results : Herbal medicines used for prevention included formulas derived from Korean medical classics, such as Okbyeongpungsan(玉屏風散) and Eunkyosan(銀翹散). The newly composed formulas, totaling over 100, were created by adding, subtracting, and combining formulas such as Sang-gukeum(桑菊飮), Eunkyosan(銀翹散), Sasammaekmundongtang(沙參麥門冬湯), Okbyeongpungsan(玉屏風散), Gwakhyangjeong-gisan(藿香正氣散), and Soshihotang(小柴胡湯). Patent medicines including Huoxiangzhengqi capsule(藿香正氣膠囊), Lianhuaqingwen capsule(連花淸瘟膠囊), Shufengjiedu capsule(疏風解毒膠囊), and Jinhuaqinggan granule(金花淸感顆粒) were frequently used, mainly targeting close contacts. These medicines were used differently depending on the specific population group, such as the general population, the elderly, children, pregnant women, and patients with underlying diseases, and were also applied differently according to the individual's constitution. Conclusion : We were able to identify various background factors contained in the guidelines for the use of preventive formulas presented by TCM group, and understand the social conditions that enabled the group to provide such guidelines. Through this, thorough preparation should be made so that the Korean Medicine can actively respond to another future pandemic.

• Journal of Korean Medical classics
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• v.37 no.2
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• pp.101-119
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• 2024

Objectives : This study examined the characteristics of famine relief and fasting formulas in Korean Medical Texts from early Joseon to early modern period. Methods : In addition to previous studies and texts, basic materials were collected from various academic database such as the Korean Medical Classics Database, Korean History Database, Chinese Text Project, Weijiwenku, etc., then analyzed. Results : In Korean Medicine from the early Joseon to early modern Korea, there was a strong awareness to use fasting prescriptions which were applied in Daosim for the purpose of famine relief, using both medicinals and common food ingredients together as complex prescriptions rather than single ingredient formulas. Famine relief and fasting formulas were continuously listed in many medical texts published after the Donguibogam, in modified or newly improved forms. Moreover, the food ingredients and medicinals used in these formulas were consisted of those which could be easily found in the famished nation of the time. Many of these formulas were tried and tested prescriptions, frequently used in clinical settings. Most of the ingredients and medicinals used in the famine relief and fasting formulas were sweet, bland, and neutral in nature, supporting Qi circulation and tonifying the Spleen and Stomach. Therefore in times of famine, these medicinals could help prevent digestive problems and decline of stamina. Conclusions : Research and contemporary interpretation on the famine relief and fasting formulas could contribute to not only health management but to relieving nutrition imbalance and famine, expanding the field of Korean Medicine application.

• Communications of the Korean Mathematical Society
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• v.34 no.4
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• pp.1079-1098
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• 2019

In this paper we give some branching rules for the fundamental representations of Kac-Moody Lie algebras associated to T-shaped graphs. These formulas are useful to describe generators of the generic rings for free resolutions of length three described in [7]. We also make some conjectures about the generic rings.

• Korean Journal of Hydrosciences
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• v.6
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• pp.1-11
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• 1995

A plunge pool is often employed as an energy-dissipating device at the end of a spillway or a pipe culvert. A jet from spillways or pipes frequently generates a scour hole which threaten the stability of the hydraulic structure. Existing scour prediction formulas of plunge pool of spillways or pipe culverts give a wide range of scour depths, and it is, therefore, difficult to accurately predict those scour depths. In this study, a new experimental method and new sour prediction formulas under submerged circular jet for large bed materials with shallow tailwater depths were developed. A major variable, which was not used in previous scour prediction equations, was the ratio of jet size to bed material size. In this study, jet momentum acting on a bed particle and jet diffustion theory were employed to derive scour prediction formulas. Four theoretical formulas were suggested for the two regions of jet diffusion, i.e., the region of flow establishment and the region of established flow. The semi-theoretically developed scour prediction formulas showed close agreement with laboratory experiments performed on movable bed made of large spherical particles.