• Title/Summary/Keyword: 2차회귀방정식

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THE STUDY ON THE PREDICTION OF THE MESIODISTAL DIAMETERS OF UNERUPTED CANINES AND PREMOLARS IN KOREAN MALE AND FEMALE (미맹출 영구 견치 및 소구치 근원심 폭경 추정에 관한 연구)

  • Hwang, Min-Sung;Kim, Jung-Wook;Jang, Ki-Taeg;Lee, Sang-Hoon
    • Journal of the korean academy of Pediatric Dentistry
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    • v.29 no.1
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    • pp.115-124
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    • 2002
  • The purpose of this study was to establish regression equations and probability charts for predicting the sum of mesiodistal crown diameters of unerupted unilateral canine and premolars from the sum of mesiodistal crown diameters of four mandibular incisors in Korean male and female. The plaster casts of 162 children(75 boys and 87 girls) among the contestees in 1994-2001 Healthy Dentition Contest in Seoul were measured. Sex differences are compared and the following results were obtained: 1. Bilateral comparison of sum of widths of permanent canine and premolars showed no significant differences for either sex(p>0.05). Sum of widths of permanent canine and premolars of male were significantly larger than that of female(p<0.01). 2. Regression equations for the prediction of sum of widths of permanent canine and premolars in each sex were as follows Male ${\Sigma}Maxillary$ 345 y= 10.45+0.53x Male ${\Sigma}Mandibular$ 345 : y= 10.07+0.51x Female ${\Sigma}Maxillary$ 345 : y=12.65+0.42x Female ${\Sigma}Mandibular$ 345 : y=11.70+0.42x Male+female ${\Sigma}Maxillary$ 345 y=11.01+0.50x Male+female ${\Sigma}Mandibular$ 345 : y=9.87+0.51x

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Explicit solutions for alternate depth in parabolic open channel (포물선형 개수로에서 대응수심의 양해적 산정)

  • Kim, Dae Geun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.326-326
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    • 2017
  • 개수로에서 비에너지(specific energy)는 수로바닥을 기준으로 단위무게의 물이 가지는 에너지로 정의되며 흐름의 위치수두와 속도수두의 합으로 표현된다. 비에너지는 수로단면의 변화에 따른 수심의 변화를 해석하기 위하여 사용되는 중요한 개념이다. 사각형 개수로에서의 비에너지 관계식은 3차방정식의 형태이며, 해석적으로 3개의 해(3개의 수심)를 가지나, 물리적인 의미를 가지는 해는 2개이며 나머지 하나의 해는 음수이므로 물리적인 의미를 가지지 않는다. 물리적인 의미를 가지는 2개의 해는 각각 흐름이 상류(subcritical flow)인 경우와 사류(supercritical flow)인 경우에 대한 수심이다. 즉, 일정한 유량이 흐르는 조건에서 동일한 비에너지를 가지는 수심이 상류와 사류에 각각 존재하는데, 이 2개의 수심을 대응수심(alternate depths)이라 정의한다. 이러한 사각형 개수로에 대한 비에너지 관계식은 3차방정식이므로 그 해석해를 구할 수 있어, 수로단면의 변화에 따른 흐름의 변화를 비교적 쉽게 해석할 수 있다. 사각형 개수로가 아닌 경우의 비에너지 관계식을 이론적으로 고찰하는 연구는 찾아보기 힘들다. 이에 본 연구에서는 포물선형 개수로에 대해서 비에너지 관계식을 유도하였다. 유도된 비에너지 관계식은 비선형 음함수의 형태로 해석적으로 해를 구할 수 없다. 유도된 관계식의 해법으로 2차의 정밀도를 가지는 Newton-Raphson방법을 이용하였으며, 계산의 초기치는 상용화된 Excel에서 쉽게 구할 수 있는 회귀식을 이용하여 구하였다. 적용 예를 통해, 단순 회귀식을 이용하는 경우에는 정해와의 상대오차가 2 - 8% 내외였는데, 본 연구에서 제안하는 방법을 사용하는 경우에는 동일한 조건에서 상대오차가 0.25% 내외를 보였다. 즉 본 연구에서 제시하고 있는 양해법을 이용하면, 포물선형 개수로 흐름의 대응수심을 용이하게 그리고 정확도가 매우 높게 산정할 수 있다.

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The Growth-Curve Analysis of Tobacco in Various Cultivation Types (잎담배의 재배방법에 따른 생장 분석에 대하여)

  • 김윤동;김용암
    • Journal of the Korean Society of Tobacco Science
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    • v.2 no.2
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    • pp.44-50
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    • 1980
  • The growth of flue-cured tobacco was analyzed with the mathematical treatment. The results are summarized as followings: 1. The growth curve was fitted to the quadratic polynomial equation in improved-mulching cultivation, blot to the Gompertz equation in the other cultivations. 2. The initial point of the maximum growth phase for dry weight was about 50 days after transplanting in improved-mulching cultivation, but about 40 days in the other cultivations, and the maximum growth period was for 25 days in all cultivations. 3. The growth rate of the maximum growth period in dry weight decreased in the order of improved-mulching cultivation, mulching cultivation, and non-mulching cultivation. 4. A relative growth amount in the maximum growth period was higher in later sowing. 5. The length of maximum growth was 5 days shorter in leaf area than in dry weight. The maximum growth phase was 7 days earlier in leaf area than in dry weight.

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Reliability Assessment Based on an Improved Response Surface Method (개선된 응답면기법에 의한 신뢰성 평가)

  • Cho, Tae Jun;Kim, Lee Hyeon;Cho, Hyo Nam
    • Journal of Korean Society of Steel Construction
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    • v.20 no.1
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    • pp.21-31
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    • 2008
  • response surface method (RSM) is widely used to evaluate th e extremely smal probability of ocurence or toanalyze the reliability of very complicated structures. Althoug h Monte-Carlo Simulation (MCS) technique can evaluate any system, the procesing time of MCS dependson the reciprocal num ber of the probability of failure. The stochastic finite element method could solve thislimitation. However, it is limit ed to the specific program, in which the mean and coeficient o f random variables are programed by a perturbation or by a weigh ted integral method. Therefore, it is not aplicable when erequisite programing. In a few number of stage analyses, RSM can construct a regresion model from the response of the c omplicated structural system, thus, saving time and efort significantly. However, the acuracy of RSM depends on the dist ance of the axial points and on the linearity of the limit stat e functions. To improve the convergence in exact solution regardl es of the linearity limit of state functions, an improved adaptive response surface method is developed. The analyzed res ults have ben verified using linear and quadratic forms of response surface functions in two examples. As a result, the be st combination of the improved RSM techniques is determined and programed in a numerical code. The developed linear adapti ve weighted response surface method (LAW-RSM) shows the closest converged reliability indices, compared with quadratic form or non-adaptive or non-weighted RSMs.

Comparison of defect size measured by transthoracic and transesophageal echocardiography with balloon occlusive diameter measured during transcatheter closure of atrial septal defect (경피적 심방중격결손 폐쇄술 시 경흉부 및 경식도 초음파 검사 상의 결손의 크기와 풍선 폐쇄 직경과의 관계)

  • Hur, Kyong;Kim, Jeong Eun;Kim, Yuria;Kwon, Hae Sik;Yoo, Byung Won;Choi, Jae Young;Sul, Jun Hee
    • Clinical and Experimental Pediatrics
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    • v.50 no.10
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    • pp.970-975
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    • 2007
  • Purpose : Accurate measurement of defect size is important in transcatheter closure of atrial septal defect (ASD). We performed this study to analyze the difference between the measured ASD size and balloon occlusive diameter (BOD) by transthoracic (TTE) or transesophageal echocardiography (TEE). Methods : We investigated 78 patients who underwent transcatheter closure of ASD. The defect size and the distance between the surrounding structures were measured by TTE and TEE. The BOD was measured by TEE during cardiac catheterization. Clinical characteristics and echocardiographic data were compared and analyzed. Results : The difference between BOD and diameter by TTE was $4.8{\pm}3.6mm$ on short axis view, $5.4{\pm}3.2mm$ on long axis view. The difference between BOD and diameter by TEE was $3.6{\pm}2.2mm$ on short axis view, $4.2{\pm}3.1mm$ on long axis view. The difference between BOD and the diameter of defects on TTE, TEE had statistically significant positive correlations with the age of the patients, distance between the, defect and posterior atrial septal wall, the distance between the defect and the mitral valve leaflet, and the diameter of defects and the length of the atrial septum on TTE (P<0.05). Conclusion : BOD of ASD can be estimated by the diameter on TTE and TEE. BOD is expected to measure larger, depending on the size of defects, the distance from surrounding structures and the location of defects on echocardiography. Our data offers important information on details of transcatheter ASD closure which can be helpful in predicting suitability and judging the procedural appropriateness during the procedure.

Optimization of Fatty Acids Production from Lard via Subcritical Water-Mediated Hydrolysis (아임계수 가수분해를 통한 돈지로부터 지방산 생산의 최적화)

  • Ryu, Jae-Hun;Shin, Hee-Yong
    • Korean Chemical Engineering Research
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    • v.53 no.2
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    • pp.199-204
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    • 2015
  • Response surface methodology (RSM) in combination with a 17-run central composite design (CCD) was applied to optimize the non-catalytic hydrolysis of lard using subcritical water to produce fatty acids (FA). The effects of three variables including temperature, molar ratio of water to oil and time, and their relationship on FA content were investigated. A quadratic regression model was employed to predict the FA contents. Optimum reaction conditions for maximizing the FA content were obtained as follows: reaction temperature of $288.5^{\circ}C$, molar ratio of water to oil of 39.5 and reaction time of 29.5 min. Under the optimum conditions, the predicted and experimentally obtained FA contents were 97.06% and 96.99%, respectively.

A Correlation between the Education Gap and Information Literacy (교육격차와 정보활용능력의 상관관계 연구 - 『도서관과 정보생활』교과의 I·II 영역을 중심으로 -)

  • Kang, Bong-Suk
    • Journal of Korean Library and Information Science Society
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    • v.49 no.2
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    • pp.179-199
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    • 2018
  • The purpose of this study is to analyze the difference of economic condition of students, that is, the difference of basic information utilization ability stemming from education gap. First, we investigated information literacy for high school freshmen who can control the difference of information utilization education experience by school. In doing the research, 629 high school students in the metropolitan city were surveyed using web. we analyzed the educational gap between schools depending on their economic conditions and analyzed the correlation between education gap and basic information utilization ability. As a result, it was found that there is a very significant negative correlation between the ratio of students who get support for school expenses and basic information utilization ability. Second, regression equation was produced through regression analysis of information literacy regression to analyze the effect of educational gap on basic information literacy. In addition, it seeks to consider alternatives that can improve the inequality of information literacy which is derived from education gap.

Arm Span-Height Relationship for Prediction of Spirometric Values in Korean Adult Women (우리나라 성인여성에서 정상 폐활량 예측을 위한 양팔벌린 손끝길이와 신장과의 관계)

  • Koh, Won-Jung;Ju, Young-Su;Kim, Tae-Yub;Park, Jae-Sung;Yu, Seung-Do;Choi, Kwaung-Soo;Paek, Do-Myung;Han, Sung-Koo;Shim, Young-Soo
    • Tuberculosis and Respiratory Diseases
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    • v.46 no.6
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    • pp.786-794
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    • 1999
  • Back ground : Arm span measurements provide a practical substitute for standing height to predict normal spirometric values in subjects unable to stand or those with a skeletal deformity such as kyphoscoliosis. The relationship between arm span and height has previously been reported as either a fixed ratio unaffected by age or as a regression equation in which the ratio varies as a function of age. The fixed ratio or regression equation is known to be specific for sex and race. Methods : We studied the relationship between standing height, arm span, and age in 381 Korean adult female subjects (ages 20 to 69 yrs) sampled in a general population. Results : The mean ratio for arm span to height is 1.004. Multiple linear analysis found arm span and age to be predictive of standing height (p=0.0001, $r^2$=0.76). We performed the analysis of the difference between the predicted height using either fixed ratio or regression equation and actual height. At the extremes of arm span and age, the ratio method either underestimated(at smaller arm span or younger age) or overestimated(at larger arm span or older age) as compared with actual height (p=0.0001). Conclusion : This results indicate that the estimated height using the fixed ratio method provides a less acceptable method of estimating height for the prediction of lung volumes in the Korean adult women when compared with the regression equations, especially at the extremes of stature or age.

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Longitudinal Analysis on the Reciprocal Relationship between Depression and Marital Satisfaction among Older Couples (노년기 부부의 우울과 부부관계만족도 간의 종단적 관계)

  • Heo, Sun-Young;Ha, Jung-Hwa
    • 한국노년학
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    • v.41 no.3
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    • pp.421-444
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    • 2021
  • The purpose of this research is to examine the reciprocal relationships between depression and marital satisfaction among older couples. For longitudinal dyadic analysis, this study sets up a research model based on the Actor-Partner Interdependence Model, the Common Fate Model, and Autoregressive Cross-Lagged Model. Data came from four annual waves from the 10th year (2015) to the 13th year (2018) of the Korean Welfare Panel Survey and the final sample comprised a total of 1,383 married couples over 60 years of age in 2015. Structural Equation Modeling identified the reciprocal relationship between depression and marital satisfaction among older couples, with higher marital satisfaction of older couples leading to lower depression of husbands' and wives', and with higher depression of husbands' and wives' inducing lower marital satisfaction of the couples. Thus, this study suggested that longitudinal interplay between depression and marital satisfaction can lead to a vicious cycle. Based on these findings, the need to intervene at both the individual level and the couple level was discussed in order to reduce depression and improve marital satisfaction.

A Study on the Effect of Construction Safety and Health Management on the Post-management of Safety Inspection Evaluation (건설공사 안전 보건관리가 안전점검평가 사후관리에 미치는 영향관계)

  • Kim, Jin Tae;Shin, Yong Seung;Moon, Yu Mi
    • Journal of the Society of Disaster Information
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    • v.18 no.1
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    • pp.228-240
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    • 2022
  • A comprehensive safety management system will be required in accordance with the implementation of the Major Disaster Punishment Act for close-up safety management of construction sites. Safety management level evaluation management requires a comprehensive relationship between safety management under the Construction Technology Promotion Act and health and health management system under the Industrial Safety and Health Act. Purpose: Safety under the Serious Accidents Punishment Act. The ultimate goal is to study the comprehensive analysis and relationship of health management and to improve the safety evaluation level of health and health management. Methods: The feasibility of the questionnaire was confirmed through the second Delphi analysis of construction site experts and safety managers, and the regression coefficient and path analysis of potential variants in safety management, safety management, health management and safety inspection were confirmed. Result and Conclusion: In the structural model, the regression coefficient (89%) from safety management, health system, and safety management to safety inspection execution and lambda values of appropriate observation variables were confirmed. In the path analysis, the total effect (.809) was confirmed by mediating health hygiene in the relationship between health plan establishment adequacy and post-inspection management, and the path coefficient (.82) of temporary structure safety was confirmed.