• Title/Summary/Keyword: 3-Degree Polynomial

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Angled Capillary Method for Determining Erythrocyte Sedimentation Rate of Goat (경사모세관법(傾斜毛細管法)에 의한 산양혈액(山羊血液)의 적혈구침강율(赤血球沈降率) 측정(測定))

  • Shin, Sung-shik;Lee, Bang-whan;Shin, Jong-uk
    • Korean Journal of Veterinary Research
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    • v.26 no.1
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    • pp.187-194
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    • 1986
  • The purpose of this study is to develop a new method which enables the goat ESR to be used as an effective clinical test. Blood samples were taken from 61 Korean native goats aged above one year old and the effect of tube inclinations, tube bores, tube lengths, environmental temperatures during tests and packed erythrocyte volumes (PCV) on the ESR were observed. The results were summarized as follows. 1. The ESR/hr using capillary hematocrit tube (Micro-Ht-tube) was gradually increased as the tube angle inclined from 90 (vertical) to 15 degrees and the best angle in view of both security and fast sedimentation rate was found to be an angle of 45 degrees. 2. The 45-degree angled ESR ($45^{\circ}$-ESR) increased as the diameter of tube bore decreased. 3. The tube length did not affect the $45^{\circ}$-ESR in percent. 4. The $45^{\circ}$-ESR increased with the increased environmental temperature during the ESR test. 5. The heparinized Micro-Ht tubes did not affect the $45^{\circ}$-ESR of EDTA-blood in healthy group but in anemic group. In the anemic group, the ESRs by the heparinized Micro-Ht-tubes were slightly higher than those by non-heparinized Micro-Ht-tubes. 6. By using the autologous plasma, PCV of the blood was adjusted to be 10, 20, 30, 40 and 50ml/100ml and $45^{\circ}$-ESRs were determined in the Micro-Ht-tubes. The $45^{\circ}$-ESRs increased as the values of PCV decreased. The regression of the $45^{\circ}ESR$ to PCV was curvilinear with the second degree polynomial, $Y=42.1838-1.7355X+0.0180X^2$(r=0.9997). 7. The $45^{\circ}$-ESR/hr, using non-heparinized Micro-Ht-tubes at $20^{\circ}C$, was determined in 35 healthy Korean native goats. The average PCV was $30.6{\pm}1.4ml/100ml$. The observed ESR values averaged $6.8{\pm}1.7%$ and the corrected ESR values to the standard PCV of 31ml/100ml averaged $6.5{\pm}1.2%$. From these results, the angled capillary tube method was found to be desirable ESR test of goat blood in which EDTA-blood is filled in nonheparinized Micro-Ht-tubes held at an angle of 45 degrees for an hour at $20^{\circ}C$.

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Numerical Analysis for Dynamic Characteristics of Next-Generation High-Speed Railway Bridge (차세대 고속철 통과 교량의 동적특성에 대한 수치해석)

  • Oh, Soon-Taek;Lee, Dong-Jun;Yi, Seong-Tae;Jeong, Byeong-Jun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.26 no.2
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    • pp.9-17
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    • 2022
  • To take into account of the increasing speed of next generation high-speed trains, a new design code for the traffic safety of railway bridges is required. To solve dynamic responses of the bridge, this research offers a numerical analyses of PSC (Pre-stressed Concrete) box girder bridge, which is most representative of all the bridges on Gyungbu high-speed train line. This model takes into account of the inertial mass forces by the 38-degree-of-freedom and interaction forces as well as track irregularities. Our numerical analyses analyze the maximum vertical deflection and DAF (Dynamic Amplification Factor) between simple span and two-span continuous bridges to show the dynamic stability of the bridge. The third-order polynomial regression equations we use predict the maximum vertical deflections depending on varying running speeds of the train. We also compare the vertical deflections at several cross-sectional positions to check the influence of running speeds and the maximum irregularity at a longitudinal level. Moreover, our model analyzes the influence lines of vertical deflection accelerations of the bridge to evaluate traffic safety.

A STUDY OF MANDIBULAR DENTAL ARCH FORM OF THE KOREAN WITH NORMAL OCCLUSION (한국인 정상교합자의 하악치열궁 형태에 관한 연구)

  • Nam, Jong-Hyun;Lee, Ki-Soo
    • The korean journal of orthodontics
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    • v.26 no.5 s.58
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    • pp.535-546
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    • 1996
  • The purpose of this study was to classify mandibular dental arch forms based on Raberin's method, and to compare Raberin's arch forms with that of the Korean's, and to designate arch form of bracket level according to distance between cusp tip and buccal surface of bracket level. The sample consisted of 159 mandibular dental casts showing normal occlusion which was taken from 62 males and 97 females of the Korean, aging from 13 to 25 years. The model was taken by X-ray. The landmarks were cusp points which expressed the mandibular dental arch line of cusp tips and buccal points which were measured from cusp tips to buccal surfaces of bracket level. The landmarks on the film were digitized, and measurements and statistics were performed. The results were as follows; 1. The models were classified as type 1, type 2, type 3, type 4 and type 5 by the author, and polynomial functions of the six degree and R-square values were calculated using statistical method, and each calculated equations explained each group with the least R-square value of 0.97, and each arch forms' were plotted. 2. The distribution of type 1 was $17.6\%$, type 2 $20.8\%$, type 3 $20.8\%$, type 4 $16.3\%$ and type 5 $24.5\%$. 3. The Korean arch form was characterized by larger width, smaller height compared to the French arch form. 4. The designated arch form of bracket level, viz the distance between cusp point and buccal point was calculated. The distance between cusp point and buccal point of incisor was 1mm, canine 1.9mm, first premolar 2.5mm, second premolar 2.6mm, first molar 2.7mm and second molar 2.7mm.

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Relation Between Shrinkage and Humidity on Lightweight Concrete and Normal Concrete by Water-Cement Ratio (물-시멘트비에 따른 경량콘크리트 및 일반콘크리트의 수축과 습도와의 관계)

  • Lee, Chang Soo;Park, Jong Hyok;Jung, Bong Jo;Choi, Young Jun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.4A
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    • pp.385-393
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    • 2009
  • This study grasped the relationship between relative humidity in concrete and concrete shrinkage followed by pre-absorbed water of porous lightweight aggregates through measurements of concrete shrinkage and humidity and comparisons with established research results. It was showed that shrinkage reduction effect of lightweight concrete is 36% at 7 days early ages and 25% at 180 days long-term ages when water-binder ratio is 0.3. It also showed that shrinkage reduction effect is 19% at 7 days and 16% at 180 days when water-binder ratio is 0.4 and 37%, 32% when water-binder ratio is 0.5. The moisture supply effect of lightweight aggregates was remarkable at early age within 7~10 days irrespective of water-binder ratio. In case of waterbinder ratio is 0.3, the relationship between shrinkage and internal humidity of concrete has been underestimated regardless of applied existing model type and in case of water-binder ratio is 0.4, 0.5, measurement values are relatively similar with existing model equations. Finally this study did regression analyses about the relation among the humidity change and the shrinkage strain as a high-degree polynomial and derived parameters that can connect moisture movement analysis with differential shrinkage analysis in case of considering relative humidity at the time by moisture movement analysis of concrete.

Video Camera Characterization with White Balance (기준 백색 선택에 따른 비디오 카메라의 전달 특성)

  • 김은수;박종선;장수욱;한찬호;송규익
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.41 no.2
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    • pp.23-34
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    • 2004
  • Video camera can be a useful tool to capture images for use in colorimeter. However the RGB signals generated by different video camera are not equal for the same scene. The video camera for use in colorimeter is characterized based on the CIE standard colorimetric observer. One method of deriving a colorimetric characterization matrix between camera RGB output signals and CIE XYZ tristimulus values is least squares polynomial modeling. However it needs tedious experiments to obtain camera transfer matrix under various white balance point for the same camera. In this paper, a new method to obtain camera transfer matrix under different white balance by using 3${\times}$3 camera transfer matrix under a certain white balance point is proposed. According to the proposed method camera transfer matrix under any other white balance could be obtained by using colorimetric coordinates of phosphor derived from 3${\times}$3 linear transfer matrix under the certain white balance point. In experimental results, it is demonstrated that proposed method allow 3${\times}$3 linear transfer matrix under any other white balance having a reasonable degree of accuracy compared with the transfer matrix obtained by experiments.

Robo-Advisor Algorithm with Intelligent View Model (지능형 전망모형을 결합한 로보어드바이저 알고리즘)

  • Kim, Sunwoong
    • Journal of Intelligence and Information Systems
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    • v.25 no.2
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    • pp.39-55
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    • 2019
  • Recently banks and large financial institutions have introduced lots of Robo-Advisor products. Robo-Advisor is a Robot to produce the optimal asset allocation portfolio for investors by using the financial engineering algorithms without any human intervention. Since the first introduction in Wall Street in 2008, the market size has grown to 60 billion dollars and is expected to expand to 2,000 billion dollars by 2020. Since Robo-Advisor algorithms suggest asset allocation output to investors, mathematical or statistical asset allocation strategies are applied. Mean variance optimization model developed by Markowitz is the typical asset allocation model. The model is a simple but quite intuitive portfolio strategy. For example, assets are allocated in order to minimize the risk on the portfolio while maximizing the expected return on the portfolio using optimization techniques. Despite its theoretical background, both academics and practitioners find that the standard mean variance optimization portfolio is very sensitive to the expected returns calculated by past price data. Corner solutions are often found to be allocated only to a few assets. The Black-Litterman Optimization model overcomes these problems by choosing a neutral Capital Asset Pricing Model equilibrium point. Implied equilibrium returns of each asset are derived from equilibrium market portfolio through reverse optimization. The Black-Litterman model uses a Bayesian approach to combine the subjective views on the price forecast of one or more assets with implied equilibrium returns, resulting a new estimates of risk and expected returns. These new estimates can produce optimal portfolio by the well-known Markowitz mean-variance optimization algorithm. If the investor does not have any views on his asset classes, the Black-Litterman optimization model produce the same portfolio as the market portfolio. What if the subjective views are incorrect? A survey on reports of stocks performance recommended by securities analysts show very poor results. Therefore the incorrect views combined with implied equilibrium returns may produce very poor portfolio output to the Black-Litterman model users. This paper suggests an objective investor views model based on Support Vector Machines(SVM), which have showed good performance results in stock price forecasting. SVM is a discriminative classifier defined by a separating hyper plane. The linear, radial basis and polynomial kernel functions are used to learn the hyper planes. Input variables for the SVM are returns, standard deviations, Stochastics %K and price parity degree for each asset class. SVM output returns expected stock price movements and their probabilities, which are used as input variables in the intelligent views model. The stock price movements are categorized by three phases; down, neutral and up. The expected stock returns make P matrix and their probability results are used in Q matrix. Implied equilibrium returns vector is combined with the intelligent views matrix, resulting the Black-Litterman optimal portfolio. For comparisons, Markowitz mean-variance optimization model and risk parity model are used. The value weighted market portfolio and equal weighted market portfolio are used as benchmark indexes. We collect the 8 KOSPI 200 sector indexes from January 2008 to December 2018 including 132 monthly index values. Training period is from 2008 to 2015 and testing period is from 2016 to 2018. Our suggested intelligent view model combined with implied equilibrium returns produced the optimal Black-Litterman portfolio. The out of sample period portfolio showed better performance compared with the well-known Markowitz mean-variance optimization portfolio, risk parity portfolio and market portfolio. The total return from 3 year-period Black-Litterman portfolio records 6.4%, which is the highest value. The maximum draw down is -20.8%, which is also the lowest value. Sharpe Ratio shows the highest value, 0.17. It measures the return to risk ratio. Overall, our suggested view model shows the possibility of replacing subjective analysts's views with objective view model for practitioners to apply the Robo-Advisor asset allocation algorithms in the real trading fields.