• East Asian mathematical journal
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• v.29 no.2
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• pp.241-254
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• 2013

In this paper, we investigate the contents of Rule of Excess and Deficit in the second volume of San Hak Jeong Ui (Arithmetic Definition) compiled by Nam Byong Kil and corrcted by Lee Sang Hyok in the Choson Dynasty period.(Emperor Ko Jong, 1867).

• Journal for History of Mathematics
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• v.18 no.1
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• pp.33-48
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• 2005

The Rule of False Position is known as an arithmetical solution of algebraical equations. On the other hand, the Excess-Deficit Rule is an algorithm for calculating about excessive or deficient quantitative relations, which is found in the ancient eastern mathematical books, including the nine chapters on the mathematical arts. It is usually said that the origin of the Rule of False Position is the Excess-Deficit Rule in ancient Chinese mathematics. In relation to these facts, we pose two questions: - As many authors explain, the excess-deficit rule is a solution of simultaneous linear equations？ - Which relation is there between the two rules explicitly？ To answer these Questions, we consider the Rule of Single/Double False Position and research the Excess-Deficit Rule in some ancient mathematical books of Chosun Dynasty that was heavily affected by Chinese mathematics. And we pursue their historical traces in Egypt, Arab and Europe. As a result, we can make sure of the status of the Excess-Deficit Rule differing from the Rectangular Arrays(the solution of simultaneous linear equations) and identify the relation of the two rules: the application of the Excess-Deficit Rule including supposition in ancient Chinese mathematics corresponds to the Rule of Double False Position in western mathematics. In addition, we try to appreciate didactical value of the Rule of False Position which is apt to be considered as a historical by-product.

• The Korean Journal of Pain
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• v.36 no.1
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• pp.51-59
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• 2023

Background: This study investigated the effect of an excess and a deficit of spinal 5-hydroxytryptamine (5-HT) on the mechanical allodynia and neuroglia activation in a rodent pain model of carrageenan inflammation. Methods: Male Sprague-Dawley rats were implanted with an intrathecal (i.t.) catheter to administer the drug. To induce an excess or deficit of 5-HT in the spinal cord, animals were given either three i.t. 5-HT injections at 24-hour intervals or a single i.t. injection of 5,7-dihydroxytryptamine (5,7-DHT) before carrageenan inflammation. Mechanical allodynia was measured using the von Frey test for 0-4 hours (early phase) and 24-28 hours (late phase) after carrageenan injection. The changes in the activation of microglia and astrocyte were examined using immunofluorescence of the dorsal horn of the lumbar spinal cord. Results: Both an excess and a deficit of spinal 5-HT had no or a minimal effect on the intensity of mechanical allodynia during the early phase but prevented the attenuation of mechanical allodynia during the late phase, which was observed in animals not treated with i.t. 5-HT or 5,7-DHT. Animals with an excess or deficit of 5-HT showed stronger activation of microglia, but not astrocyte, during the early and late phases, than did normal animals. Conclusions: Imbalance in the descending 5-HT pathway in the spinal cord could aggravate the mechanical allodynia and enhance the activation of microglia, suggesting that the spinal 5-HT pathway plays an essential role in maintaining the nociceptive processing in balance between facilitation and inhibition in inflammatory pain caused by carrageenan inflammation.

• Journal of Educational Research in Mathematics
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• v.13 no.4
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• pp.429-446
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• 2003

Gu-il-jip is a mathematical book of Chosun dynasty in the 18c. It consists of nine chapters including more than 473 problems and their solutions. Analyzing the problems and their solutions, we can appreciate the mathematical researches by the professional mathematicians of Chosun. Especially, it is worth noting the followings: - units for measuring and decimal notations - $\pi$, area of circle, volume of sphere - naming the powers - counting rods - excess and deficit: calculation technique for excess-deficit relations among quantities - rectangular arrays: calculation technique for simultaneous linear equations - 'Thien Yuan' notation: method for representing equations - 'Khai Fang': algorithm for numerical solution of quadratic, cubic and higher equations Based on these analyses, some pedagogical applications are proposed.

• Journal of Trauma and Injury
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• v.18 no.2
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• pp.127-134
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• 2005

Purpose: Currently, there is a variety of systems available for predicting prognosis of trauma patients such as trauma score, Injury severity score (ISS) and acid-base variables. But it is not clear that the initial acid-base variables are predictors of prognosis in trauma patients at the emergency department. The objective of this study is to compare the base deficit, lactate and strong ion gap as an early predictor of mortality in trauma patients. Methods: Retrospective record review of 136 trauma patients needed to admit to intensive care unit via emergency department (June 2004 to February 2005). Data included age, injury mechanism, ISS, Revised trauma score (RTS), Multiple organ dysfunction score (MODS), Acute physiology and chronic health evaluation III (APACHE III), Glasgow coma scale (GCS), laboratory profiles, calculated anion gap and strong ion gap. Patients were divided into survivors and non-survivors, shock group and non-shock group with comparison by t-test;significance was assumed for p<0.05. Correlation between acid-base variables and mean arterial blood pressure (MABP) was evaluated. Results: There was a significant difference between the RTS (p=0.00), APACHE III (p=0.00), MODS (p=0.00), GCS (p=0.00) of survivors and non-survivors. There was no significant difference between the ISS (p=0.082), lactate (p=0.541), base excess (p=0.468) and SIG (p=0.894) of survivors and non-survivors. There was a significant difference between the RTS (p=0.023), APACHE III (p=0.002), lactate (p=0.000), base excess (p=0.000) and SIG (p=0.000) of shock and non-shock group. There was no significant difference between the ISS (p=0.270), MODS (p=0.442) and GCS (p=0.432) of shock and non-shock group. The base excess was most correlated to MABP (r2=0.150). Conclusion: Initial base deficit, serum lactate and SIG are not predictors of mortality in moderate to severe trauma patients. Initial base deficit, serum lactate and SIG are correlated with the mean arterial blood pressure in trauma patients in emergency department.

• Korean Journal of Mathematics
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• v.20 no.1
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• pp.137-159
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• 2012

In this paper, we deal with recent researches on Ying N$\ddot{u}$ and Ying Buzu(盈不足) which were addressed in the book Jiu Zhang Suan Shu(九章算術, The Nine Chapters on the Mathematical Art). Ying N$\ddot{u}$(Ying Buzu) is a concept on profit and loss problems. Ying Buzu Shu(盈不足術, the method of excess and deficit) represents an algorithm which has been used for solving many mathematical problems. It is known as a rule of double false position in the West. We show the importance of Ying Buzu Shu via an analysis of some problems in 'Ying Buzu' chapter. In 1202, Fibonacci(c.1170-c.1250) used Ying Buzu Shu in his book. This shows some of Asian mathematics were introduced to the West even before the year 1200. We present the origin of Ying Buzu Shu, and its relationship with Cramer's Rule. We have discovered how Asia's Ying Buzu Shu spread to Europe via Arab countries. In addition, we analyze some characters of Ying N$\ddot{u}$(Ying Buzu) in the book Suan Xue Bao Jian(算學寶鑑).

• Journal of Oriental Neuropsychiatry
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• v.15 no.1
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• pp.9-25
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• 2004

Behavioral characteristics of Attention Deficit Hyperactivity Disorder(ADHD) is one of the most common mental disorders among children.child psyachiatry. Inattention, Hyperactivity that is done by hyperkinesis or minimal brain dysfunction is major sypmton in ADHD, But etiology and pathological facor of ADHD is very much or unkown.. We brought to about a Study on the Oriental - medical pathologic Understanding about Inattention, Hyperactivity symptom in ADHD within Don yui bo gam Book are as follows. 1. Oriental medical pathologic concepts about Inattention, Hyperactivity are continuous with process of Yang Qi(陽氣), an unbalance of qi(氣) and shen ming(神明), excess of seven emotions(七情), pathology of Huo(火). 2. Immanent factors in inattention, Hyperactivity are improper diet, overtiredness and seven emotions, are continuous with pathological process of the heart, liver, gall bladder, spleen, stomach, kidneys. 3. In oriental medicine, considered as a child's qi of shao yang, dynamic physiological feature, excess and want of yin and yang, organs and bowels, immanently imbalance in growth rather than a child's mental disorder 4. Inattention, looseness in ADHD-PI type are continuous with forgetfulness, improper overtiredness, shortage of qi, the interior heat syndrome due to yin deficiency within Don yui bo gam Book 5. Hyperactivity, impulsive actions in ADHD-C type are continuous with sudden palpitation, severe palpitation, delirium, fidgeting due to deficiency, fidgetiness, hyperactivity of huo due to yin deficiency, fever, febrile disease with accumulation of blood.

• Journal of the Korean Ceramic Society
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• v.33 no.4
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• pp.405-410
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• 1996

The partial substitution of LiTaO3 with Al2O3 caused the variation of dielectric properties and a lower melting temperature yielding an easier growth of single crystal. The lattice constants and Raman band broadening were measured for the LiTaO3 solid solution in which the cations of Li+ and Ta5+ were partially substituted by Al3+ cation. The LiTaO3 type limit phases were obtained. ; Li1.15Al0.45Ta0.7O3 for cationic excess Li1.15Al0.45Ta0.7O3 for stoichiometry Li0.85Al0.05TaO3 for cationic deficit. The second phase was formed beyond the solubility limit. The limit phase (Li0.85Al0.05TaO3) in the region of cationic deficit showed the lowest Cuire temperature of 61$0^{\circ}C$ and melting point of 152$0^{\circ}C$ compared to the solid solutions in other regions (TMp=1$650^{\circ}C$, Tc=69$0^{\circ}C$ for LiTaO3)

• Clinical and Experimental Pediatrics
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• v.65 no.2
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• pp.85-89
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• 2022

Background: There is evidence of a relationship between prenatal excess androgen exposure and central nervous developmental problems and attention-deficit/hyperactivity disorder (ADHD) in the offspring of mothers with polycystic ovary syndrome (PCOS). Purpose: Here we aimed to use a meta-analysis to investigate whether the offspring of mothers with PCOS are at an increased chance of developing ADHD. Methods: Three main English databases were searched for articles published through December 2020. The Newcastle-Ottawa Scale was used to assess study quality. Study heterogeneity was determined using I² statistics and publication bias was assessed using Begg and Egger tests. The results are presented as odds ratio (OR) and relative ratio (RR) estimates with 95% confidence intervals (CIs) using a random-effects model. Results: Six articles (3 cohort and 3 case-control studies; 401,413 total ADHD cases) met the study criteria. Maternal PCOS was associated with an increased risk of ADHD in the offspring based on OR and RR (OR, 1.42; 95% CI, 1.27-1.57) and (RR, 1.43; 95% CI, 1.35-1.51), respectively. There was no heterogeneity among the included articles based on OR (I²=0.0%, P=0.588) and RR (I²=0.0%, P=0.878). Conclusion: Our study showed that maternal PCOS is a risk factor for ADHD. Therefore, screening their offspring for ADHD should be considered part of the comprehensive clinical care of women with PCOS.

• The Journal of Pediatrics of Korean Medicine
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• v.23 no.1
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• pp.115-126
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• 2009

Objectives The purpose of this study is to introduce oriental medicine music therapy related to the treatment of ADHD. Methods This study observed ADHD from the oriental medical point of view and tried to treat this disease with the oriental medicine music therapy. Results ADHD is caused by excess of Yang energy, flaming-up of fire, blood deficiency of the heart and the spleen, deficiency of the kidney essence, and instability of emotions. The ADHD patients with the case of excess of Yang energy and flaming-up of fire, patients were played Fire-Gi rhythm as a treatment, and they listened to Metal-Gi music. Whereas, the ADHD patient with blood deficiency of the heart and the spleen, invigoration of vital energy music therapy can be used. Another case of ADHD patients with deficiency of the kidney, Water-Gi rhythm and replenishing vital essence music therapy can be used. According to the patients' seven modes of emotions, the proper music should be chosen. Conclusions Oriental medicine music therapy can be a new type of treatment for ADHD patients.