• Title/Summary/Keyword: rate and ratio

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An analysis on mathematical concepts for proportional reasoning in the middle school mathematics curriculum (중학교 교육과정에서 비례적 사고가 필요한 수학 개념 분석)

  • Kwon, Oh-Nam;Park, Jung-Sook;Park, Jee-Hyun
    • The Mathematical Education
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    • v.46 no.3
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    • pp.315-329
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    • 2007
  • The concepts of ratio, rate, and proportion are used in everyday life and are also applied to many disciplines such as mathematics and science. Proportional reasoning is known as one of the pivotal ideas in school mathematics because it links elementary ideas to deeper concepts of mathematics and science. However, previous research has shown that it is difficult for students to recognize the proportionality in contextualized situations. The purpose of this study is to understand how the mathematical concept in the middle school mathematics curriculum is connected with ratio, rate, and proportion and to investigate the characteristics of proportional reasoning through analyzing the concept including ratio, rate, and proportion on the middle school mathematics curriculum. This study also examines mathematical concepts (direct proportion, slope, and similarity) presented in a middle school textbook by exploring diverse interpretations among ratio, rate, and proportion and by comparing findings from literature on proportional reasoning. Our textbook analysis indicated that mechanical formal were emphasized in problems connected with ratio, rate, and proportion. Also, there were limited contextualizations of problems and tasks in the textbook so that it might not be enough to develop students' proportional reasoning.

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Stress Relaxation Properties of Cucumber under Bending Moment (휨 모멘트에 대한 오이의 응력이완(應力弛緩) 특성(特性))

  • Song, C.H.;Kim, M.S.;Park, J.M.
    • Journal of Biosystems Engineering
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    • v.18 no.3
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    • pp.262-269
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    • 1993
  • Stress relaxation behaviors of the cucumber under bending moment were tested with UTM at three levels of loading rate and initial deflection ratio. Sample cucumber was selected from three cultivars of cucumber, Cheongjangmadi, Baekdadagi, and Gyeousalicheongjang, because these cultivars are the most popular grown cultivars in Korea. When the bending moment was applied to the cucumber sample, the effective span between simple supports was held a constant value of 116mm with consideration of the selected sample length. The objectives of this study were to develop the rheological models such as linear and nonlinear models of the stress relaxation for the cucumber samples, and to investigate the effects of loading rate and initial deflection ratio on the stress relaxation behavior of the cucumber. The results of this study may be summarized as follows : 1. Stress relaxation behavior of the cucumber could be well described by the generalized Maxwell model for each level of deflection ratio. But the stress relaxation behavior of the sample was found to be initial deflection ratio and time dependent, and it was represented the nonlinear viscoelastic model as a function of initial deflection ratio and time. 2. Stress relaxation behavior of the cucumber samples was very highly affected by the loading rate and the initial deflection ratio. The more loading rate and initial deflection ratio resulted in the more initial bending stress and after stress relaxation progressed more rapidly. 3. At the same test conditions, it was found that the stress relaxation rate of Cheongjangmadi was faster than that of other cultivars.

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The Serial Change Analysis of Heart Rate According to Expiration-to-inspiration Time Ratio in Adults (호흡패턴에 따른 성인의 심박수 동태 해석)

  • Park, Young-Bae;Han, Kyung-Sook;Nam, Tong-Hyun
    • Journal of Society of Preventive Korean Medicine
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    • v.14 no.2
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    • pp.105-120
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    • 2010
  • Objectives : This study aims to evaluate the effects of expiration-to-inspiration time ratio (E/I-ratio) on heart rate, which represents cardiac autonomic function, and cold-heat in the healthy people. Methods : 49 healthy young volunteers(male : female = 32 : 17) were recruited in the study. The participants completed the questionnaire for yin-yang pattern identification and then we measured the chest plethysmogram for respiration signal and the electrocardiogram for NN intervals during different E/I-ratio from 1 to 2. We compared heart rate variability including RMS-SD, VLF, LF and HF, and the trend-cycle factors decomposed from NN interval data by time series analysis among the respective E/I-ratio. We also confirmed the difference on the trend-cycle factors according to the score of the questionnaire for cold and heat pattern identification. Results : There were differences on the trend-cycle factors from NN interval data, but no significant difference on heart rate variability, among the respective E/I-ratio. We also found significant relationship between the trend-cycle factors and the heat pattern identification scores. Conclusions : The results indicate that cardiac autonomic function can be modulated by the E/I-ratio and the modulation will be slower and more tendencious than respiratory sinus arrhythmia.

Preparation of Buccal Patch Composed of Carbopol, Poloxamer and Hydroxypropyl Methylcellulose

  • Chun, Myung-Kwan;Kwak, Byoung-Tae;Choi, Hoo-Kyun
    • Archives of Pharmacal Research
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    • v.26 no.11
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    • pp.973-978
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    • 2003
  • A polymeric film composed of Carbopol, Poloxamer and hydroxypropyl methylcellulose was prepared to develop a buccal patch and the effects of composition of the film on adhesion time, swelling ratio, and dissolution of the film were studied. The effects of plasticizers or penetration enhancers on the release of triamcinolone acetonide (TAA) were also studied. The hydrogen bonding between Carbopol and Poloxamer played important role in reducing swelling ratio and dissolution rate of polymer film and increasing adhesion time. The swelling ratio of the composite film was significantly reduced and the adhesion time was increased when compared with Carbopol film. As the ratio of Poloxamer to hydroxypropyl methylcellulose increased from 0/66 to 33/33, the release rate of TAA decreased. However, no further significant decrease of release rate was observed beyond the ratio of 33/33. The release rate of TAA in the polymeric film containing polyethylene glycol 400, a plasticizer, showed the highest release rate followed by triethyl citrate, and castor oil. The release rate of TAA from the polymeric film containing permeation enhancers was slower than that from the control without enhancers. Therefore, these observations indicated that a preparation of a buccal patch is feasible with the polymeric film composed of Cabopol, Poloxamer and hydropropyl methylcellulose.

Regional Suicide Mortality Rate in Korea (지역별 고의적 자해에 의한 사망수준에 관한 연구)

  • Park, Sang-Hwa;Kim, Young-Bae;Lim, Dar-Oh
    • The Korean Journal of Health Service Management
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    • v.7 no.3
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    • pp.287-296
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    • 2013
  • The aim of this study was to compare the regional difference of death from intentional self-harm. The analysis was based on data of intentional self-harm deaths (31,450) from the 2010-2011 vital statistics of Korea. The suicide rate (per 100,000 population) was 46.2 in male and 22.3 in female. Gender ratio (male / female) of suicide rate was 2.07, and Jeju province had the lowest gender ratio (1.82), and Chungbuk province had the highest gender ratio (2.42). In the age-gender standardized death rate (per 100,000) of self-harm by region, the highest suicide rate was observed in Gangwon province (44.8) and Chungnam province (44.3), and the lowest in Seoul metropolitan city (28.9) and Ulsan metropolitan city (29.2). There was a significant increase in the rate of suicide in city areas (odds ratio: 1.11, 95% CI: 1.08-1.13), county areas (1.62, 1.56-1.67) as compared with the rate of suicide in metropolitan areas. The commonest methods of suicide were hanging (53.7 percent), self-poisoning by pesticides (16.8 percent) and jumping from a height (14.3 percent). The methods used for suicide differed between rural (county) and urban areas (metropolitan city and city). In county areas, 43 percent of suicides used pesticides as compared to only 7-18 percent of those in urban areas. In urban areas, jumping was more common (13-17 percent vs. 6 percent). There were no difference in hanging between urban and rural areas. The odds ratio of death by pesticides was 9.86 in rural areas compared with death rate of metropolitan areas. The odds ratio of death by jumping was 0.59 in rural compared with death rate of metropolitan areas.

A Feasibility Study of Pulse Rate Per Respiration as an Indicator for the Reaction to Cold Stress (냉자극에 대한 맥율 변화 예비 연구)

  • Bae, Jang Han;Jeon, Young Ju;Kim, Hyunho;Kim, Jaeuk U.
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.28 no.6
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    • pp.668-673
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    • 2014
  • Cold and Heat pattern identification(CHPI) in traditional East Asian medicine(TEAM) is one of the major indicator to distinguish characteristics of disease and to determine treatment method. Basic parameters to determine CHPI include the pulse rate, respiration rate, and pulse power. Studies to associate physiological responses of human body by cold stress(CS) with CHPI in TEAM were rarely done so far. This study aims to explore the effects of cold stress on pulse signal via a feasibility study for three subjects and investigate some indices which can reflect autonomic nerve reaction(ANR). We measured radial pulse signals and respiration signal of the investigated subjects before the CS, during the CS which continues for 5 minutes, and immediately after the CS, respectively. Finally, we analyzed the pulse rate (P), respiration rate (R), pulse power, pulse depth, and pulse rate per respiration (P/R ratio). As a result, the P/R ratio showed a consistently decreasing tendency through the CS stimulation process, while other parameters behaved more complex and in subject-specific ways. It implies that, among candidate parameters, the P/R ratio is a simple but the most probable parameter that can be used as the ANR indicator. This result is also consistent with the theory in TEAM scripts, in which the P/R ratio is predicted to be a direct indicator for the CHPI. This pilot study shows that P/R ratio can be more appropriately associated with the ANR than heart rate or respiration rate alone. Extensive studies will be necessary to verify or confirm the P/R ratio as an appropriate and well defined parameter for ANR.

Seasonal Growth Patterns of Perennial Ryegrass Varieties IV. Growth analysis in spring growth (Perennial Ryegrass 품종의 계절별 생육특성 IIV. 봄철 생육의 생장해석)

  • 김성규;이주삼;조익환
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.12 no.4
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    • pp.226-231
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    • 1992
  • This experiment was carried out to estimate the dry matter accumulation using growth analysis in spring growth of perennial ryegrass varieties grown under space planting conditions, based on the data of previous paper9'. The results obtained were as follows: 1. Growth parameters of leaf area ratio(LAR), specific leaf area(SLA) and leaf weight ratio(LWR) were recognized siginificant differences between varieties. But, specific leaf area(SLA), leaf weight ratio (LWR) and relative tiller appearance rate(RTAR) were recognized significant differences between growth stages. Specific leaf area(SLA) was significant difference for the interaction of variety Xgrowth stage. 2. The relative growth rate of biological yields(BYRGR) indicated significantly positive correlations with relative growth rate of shoot(RGR) and root(RWGR), and net assimilation rate(NAR) as affected by the varieties and growth stages. 3. The relative growth rate of biological yields(BYRGR) indicated significantly positive correlation with nct assimilation rate(NAR) in all varieties. Leaf area ratio(LAR) had significantly positive correlation with specific leaf area(SLA) in all varieties, but shows a significant negative correlation with leaf weight ratio(LWR) of Maprima variety. 4. The relative growth rate of biological yields(BYRGR) indicated significantly positive correlations with the absolute growth rates of yield components.

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The Difference of the Inventories Assets Turnover Change Ratio According to the Firm Size (기업 크기에 따른 재고자산회전 변화율의 차이)

  • Lee, Jihye;Choi, Young-Keun;Kim, Pansoo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.38 no.2
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    • pp.72-81
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    • 2015
  • This paper studied the differences of the inventories asset turnover change ratio and several characteristics variable between large and small manufacturing firm group. Large and small firm group were determined based on number of labors and asset size. Several characteristics variable of firms such as assets size, sales growth rate, return on assets, leverage ratio, credit rating and age of firm were used to find out the differences of firm group. As a result, the inventory asset turnover change ratio of large firm was 5.16% and that of the middle and small firm was 9.3%. For the large firm, sales growth rate, ROA and credit rating affect inventory assets turnover change ratio. For the middle and small sized firm, Assets size, sales growth rate and credit rating affect inventory assets turnover change ratio. Using this result, we can say that manufacturing company need to consider their firm size and their characteristics to make their own operation strategy of inventory.

Braking Distance Estimation using Frictional Energy Rate (마찰에너지율을 이용한 타이어 제동거리 예측)

  • Jeon, Do-Hyung;Choi, Joo-Hyung;Cho, Jin-Rae;Kim, Gi-Jeon;Woo, Jong-Shik
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.519-524
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    • 2004
  • This study is concerned with the braking distance estimation using frictional energy rate. First, steady state rolling analysis is performed, and using this result, the braking distance is estimated. Dynamic rolling analysis during entire braking time period is impratical, so that this study divides the vehicle velocity by 10km/h to reduce the analysis time. The multiplication of the slip rate and the shear stress provides the frictional energy rate. Using frictional energy rate, total braking distance is estimated, In addition, ABS(Anti-lock Brake System) is considered, and two type of slip ratios are compared, One is 15% slip ratio for the ABS condition, and the other is 100% slip ratio which leads lo the almost same braking distance as the elementary kinematic theory. A slip ratio is controlled by angular velocity in ABAQUS/Explicit, A 15% slip ratio gives the real vehicle's braking distance when the frictional energy occurred al disk pad is included. Disk pad's frictional energy rate is calculated by the theoretical approach.

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Study on Foreign Exchange Risk Insurance, Risk Premium Hedge Ratio in WTO/OECD (WTO/OECD하에서 환변동보험의 헤지 성과분석연구)

  • Lee, Eun-Jae;Oh, Tae-Hyung
    • International Commerce and Information Review
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    • v.9 no.3
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    • pp.151-160
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    • 2007
  • The purpose of this study is to estimate the risk premium hedge ratio in foreign exchange risk of the foreign exchange rate insurance. The applicants of exchange rate insurance and Korea Export Insurance Corporation will be facing the risk in change of currency and guaranteed currency’s swap point upon contract being made. Also upon making decision of hedging exchange rate insurance, the company will need to be aware of the risk causing due to change in swap point.

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