• 제목/요약/키워드: Excess and Deficit

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산학정의 중편에 나타난 조선시대 영부족술에 대한 고찰 (The Excess and Deficit Rule in the second volume of San Hak Jeong Ui)

  • 조진협;남영만
    • East Asian mathematical journal
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    • 제29권2호
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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).

동양의 영부족술과 서양의 가정법 (The Excess and Deficit Rule and The Rule of False Position)

  • 장혜원
    • 한국수학사학회지
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    • 제18권1호
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    • pp.33-48
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    • 2005
  • 가정법은 중세 서양에서 상용된 대수 방정식의 산술적 해법이며, 보통 그 근원을 중국 수학의 영부족술이라 말한다. 이와 관련하여 중국 및 조선의 산학서와 이집트, 아랍, 인도 및 서양의 수학 교재를 고찰함으로써 수학사에 있어 그 역사적 자취를 추적하고 두 가지 사실을 확인한다. 첫째, 중국의 영부족술은 일차연립방정식의 해법인 방정술과는 구별되어 일차방정식으로 해석되는 특정 수량 관계를 다루기 위한 계산 알고리즘이며, 둘째, 동양의 영부족술과 서양의 가정법의 명확한 관계는 전자에서의 가정을 포함하는 응용 부분이 후자에서의 이중 가정법과 상응한다는 것이다. 나아가 가정법의 수학적 가치를 수학 교육적 가치로 환원하기 위한 제안을 포함한다.

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Imbalance in the spinal serotonergic pathway induces aggravation of mechanical allodynia and microglial activation in carrageenan inflammation

  • Junxiu Jin;Dong Ho Kang;Jin Jeon;Hyung Gon Lee;Woong Mo Kim;Myung Ha Yoon;Jeong Il Choi
    • The Korean Journal of Pain
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    • 제36권1호
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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.

조선시대의 산학서 <구일집>의 내용 분석 및 교육적 활용 방안 탐구 (Analysis on Gu-il-jip, the mathematical book of Chosun dynasty and its pedagogical applications)

  • 장혜원
    • 대한수학교육학회지:수학교육학연구
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    • 제13권4호
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    • pp.429-446
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    • 2003
  • <구일집>은 9장으로 이루어진 조선 후기의 대표적인 산학서이다. 473개 이상의 문제와 그에 대한 풀이가 주를 이루는 이 책의 내용을 분석함으로써 당시의 전문 산학 자에 의한 수학적 활동을 음미할 수 있다 그 중, 측정 단위와 소수 표기, 원주율 및 원의 넓이와 구의 부피, 거듭제곱 명명법, 계산 도구인 산대의 이용, 남거나 모자라는 양에 대한 계산법인 영부족술, 연립방정식의 해법인 방정술, 다항식의 표기법인 천원술, 고차방정식의 해법인 개방술 등은 오늘날의 수학 지식 및 방법과 비교할 때 특히 주목할 만하다. 이러한 분석에 기초하여 학교 수학에서의 교육적 활용 가능성을 타진해 본다.

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외상환자의 초기 사망 예측 지표로서의 내원 초기의 염기 결핍, 젖산 및 강이온 차이의 유용성 비교 (The Comparison of Base Deficit, Lactate, and Strong Ion Gap as Early Predictor of Mortality in Trauma Patients)

  • 박경혜;이강현;김선휴;오성범;문중범;김현;황성오;김헌주
    • Journal of Trauma and Injury
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    • 제18권2호
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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.

영뉵(盈朒)과 영부족술(盈不足術)에 관한 최근 동서양의 연구 분석 (AN ANALYSIS OF RECENT RESEARCH ON THE METHOD OF EXCESS AND DEFICIT (Ying NÜ and Ying Buzu Shu))

  • Lee, Sang-Gu;Lee, Jae Hwa
    • Korean Journal of Mathematics
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    • 제20권1호
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    • pp.137-159
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    • 2012
  • 영뉵 또는 영부족(盈不足)은 그 글자의 의미에서 보듯이 넘치는 것과 부족한 것에 관계된 '과부족'문제를 나타낼 때 사용되는 유용한 개념으로, 영부족술(盈不足術)은 과부족문제를 푸는 일종의 산법이다. 본 논문은 먼저 지금까지 영부족에 관하여 소개된 최근의 모든 논문을 분석하고, <구장산술 九章算術> 권칠(卷七) "영부족" 장의 대표문제를 통하여 영부족술의 내용과 산법으로써의 의미를 쉽게 이해할 수 있도록 새롭게 서술하였다. 그리고 서양에서 이중가정법(rule of double false position)으로 알려진 영부족에 관한 최근의 동서양 연구결과를 분석하여, 영부족술과 Cramer's Rule과의 관계 및 <산학보감 算學寶鑑>에 소개된 진화된 영부족술의 특징에 대하여 논하였다. 더 나아가 영부족술의 기원과 중국의 영부족술이 아랍을 거쳐 유럽으로 전파된 배경을 구체적으로 밝혔다.

ADHD의 과잉활동성, 주의력결핍 증후에 대한 한의학적 고찰 - 동의보감을 중심으로 - (A Study on the Oriental - medical Understanding about Inattention, Hyperactivity sympton in ADHD(attention Deficit Hyperactivity Disorder) - Within Don yui bo gam Book -)

  • 박재현;박재형;김진형;김태현;류영수;강형원
    • 동의신경정신과학회지
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    • 제15권1호
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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.

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$Li_2O-Al_2O_3-Ta_2O_5$ 삼성분계에 있어 $LiTaO_3$ 고용체의 구조 및 특성에 관한 연구 (Structure and Properties of $LiTaO_3$ Type Solid Solutions in $Li_2O-Al_2O_3-Ta_2O_5$ Ternary System)

  • 김정돈;흥국선;주기태
    • 한국세라믹학회지
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    • 제33권4호
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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)

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Association between polycystic ovary syndrome and risk of attention-deficit/hyperactivity disorder in offspring: a meta-analysis

  • Maleki, Azam;Bashirian, Saeid;Soltanian, Ali Reza;Jenabi, Ensiyeh;Farhadinasab, Abdollah
    • Clinical and Experimental Pediatrics
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    • 제65권2호
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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.

주의력결핍 과잉행동 장애의 원인(原因) 및 병기(病機)에 따른 한방음악치료의 기법(機法)에 관한 연구 (The Study on Treatment of Attention Deficit Hyperactivity Disorder by Oriental Medicine Music Therapy)

  • 이승현;김여진
    • 대한한방소아과학회지
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    • 제23권1호
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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.

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