• Title/Summary/Keyword: quadratic growth

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Effects of Light Intensity and Temperature on Growth and Root Yield of Valeriana fauriei var. dasycarpa HARA (쥐오줌풀의 생육 및 뿌리수량에 미치는 광도와 온도의 영향)

  • Lee, Jong-Chul;Cho, Chang-Hwan;Ahn, Tae-Jin;Choi, Young-Hyun
    • Korean Journal of Medicinal Crop Science
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    • v.4 no.1
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    • pp.7-11
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    • 1996
  • This study was conducted to know the effects of light intensity and temperature on growth of V. fauriei plants. Photosynthesis of V. fauriei had highly significant relations to light intensity and temperature in a quadratic regression model, from which the optimum light intensity and temperature for the plant growth were estimated to be 40,000lux and $17.7^{\circ}C.$ Root was produced less by shading at Jinbu where is located in alpine region, but root yield is increased by shading at Umsong where is located in plane region. Roots were produced more in Jinbu than in Umsong. A highly significant quadratic regression was noted between temperature and leaf width or root weight of V. fauriei. It was estimated from the regression equation that the optimum temperature for root growth was $20.3^{\circ}C.$

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Effects of Water Conditions and Rhizobium Inoculation on the Growth of Wisteria floribunda Seedlings in Slope Soils (절개지 토양에서 수분조건과 근류균 접종이 등나무 유묘생장에 미치는 영향)

  • Park, Chong-Min
    • Korean Journal of Environment and Ecology
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    • v.20 no.4
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    • pp.425-435
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    • 2006
  • The objectives of this research were to investigate the drought resistance as well as the growth of Wisteria floribunda seedlings with the soil water conditions. The seedlings for the research were grown in pots with strict water content control on a frame located outdoors. During the experiments, the soil water contents were adjusted to 5, 10, 20, 30, 40, 50, 60, and 70%. In addition, the effects of Rhizobium inoculation on the growth of seedlings were investigated. The experimental results are summarized as follows: 1. The seedlings in the pots with 5% soil water content withered to death due to the water stress. Withering or any distinct growth was not observed from the seedlings in the 10% soil water content. It can be inferred from these results that about 5% of soil water content is the wilting point of W. floribunda seedlings and about 10% is the critical soil water content of its growth in this experiment soils. Therefore, it seems that W. floribunda possesses a good drought resistance. 2. From the analyses of the main growth parameters such as stem elongation, diameter growth, leaf area growth and total dry weight, it was found that the seedling growth can be improved with increasing soil water contents. The relation between each growth parameter(Y) and the soil water contents(W) was well described by a quadratic equation, $Y=a+bW+cW^2$. 3. In soil water contents higher than 20%, the seedling growth(Y) was remarkable along with-its extended growing period, and related to the growing period(D) by a quadratic equation, $Y=a+bD+cD^2$. 4. The artificial inoculation of Rhizobiun promoted the growth of Wisteria floribunda seedlings. 5. Rhizobium was found to be more readily inoculated and to form more root nodules compared to seedlings grown in higher soil water contents.

Evaluation of Design Fire Curves for Gas Fires in a Compartment Using CFAST (CFAST를 이용한 구획실 가스화재의 디자인 화재곡선 평가)

  • Baek, Bitna;Oh, Chang Bo;Hwang, Cheol-Hong
    • Fire Science and Engineering
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    • v.32 no.4
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    • pp.7-16
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    • 2018
  • In this study, the prediction performance of design fire curves (DF) was evaluated for gas fires in a compartment by using CFAST. The CFAST simulations adopted the 2-stage DF suggested by the previous study and the Quadratic and Exponential DF suggested by Ingason. It was found by comparing the simulation and experimental results that the overall prediction performance of the design fire cures for the spatially-averaged temperature and concentrations of $O_2$ and $CO_2$ was, from the most reasonable to the most inaccurate, 2-stage DF > Quadratic DF > Exponential DF. The CFAST simulation could not predict for the difference in the spatially-averaged temperature and concentrations of $O_2$ and $CO_2$ at door and inner side locations in a compartment. The CFAST simulations also showed a limitation in the prediction of the spatially-averaged temperature at lower layer and the concentration of CO.

Effects of dietary trace mineral levels on physiological responses, reproductive performance, litter performance, blood profiles, and milk composition in gestating sows

  • Hong Jun Kim;Xing Hao Jin;Sun Woo Kang;Yoo Yong Kim
    • Animal Bioscience
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    • v.36 no.12
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    • pp.1860-1868
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    • 2023
  • Objective: This study was conducted to evaluate the effects of optimal trace mineral levels on the physiological responses, reproductive performance, litter performance, blood profiles and milk composition in gestating sows. Methods: A total of 59 multiparous sows (Yorkshire×Landrace) with similar body weight (BW), backfat thickness (BF), and parity were assigned to one of four treatments with 14 or 15 sows per treatment using a completely randomized design. The treatments were 100% (M1), 300% (M3), 600% (M6), and 900% (M9) of the National Research Council (NRC) Nutrient Requirements of Swine. During lactation period, all the sows were fed the same commercial lactation diet. Results: No significant differences were observed in the BW, BF, reproductive performance, milk composition, or growth performance of the piglets. On day 70 of gestation, the serum zinc concentration showed a quadratic response to M6 treatment (quadratic, p<0.05). Moreover, as the dietary mineral levels increased, the zinc concentration increased linearly at 110 days of gestation (linear, p<0.05). Furthermore, copper and iron concentrations in the serum of sows at 24 h postpartum decreased linearly when high levels of dietary minerals were provided (linear, p<0.05). In the serum of piglets, serum zinc concentrations decreased linearly (linear, p<0.05), and iron concentration showed a quadratic response (quadratic, p<0.05) with an increase in trace mineral premix levels in gestation diets. Conclusion: The current trace mineral requirements of NRC (2012) are suitable for gestating sows, and the addition of dietary mineral levels in the gestating diet did not show any improvements during the gestation and lactation periods.

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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Effects of temperature and water management in rice fields on larval growth of Pantala flavescens (Odonata: Libellulidae)

  • Bosomtwe Augustine;Jinu Eo;Myung-Hyun Kim;Min-Kyeong Kim;Soon-Kun Choi;So-Jin Yeob;Jeong-Hwan Bang;Owusu Danquah Eric
    • Korean Journal of Environmental Biology
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    • v.39 no.4
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    • pp.536-541
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    • 2021
  • Pantala flavescens is a dominant Odonata species in the rice fields in Korea. To determine the effects of different temperatures on its larval growth and emergence, field and laboratory experiments were conducted. Larval growth was also monitored in mono-cropping and double-cropping rice fields. The growth of larvae was monitored every week by measuring the head width. In the field experiment, no difference was found in larval growth and emergence between the control temperature and +1.9℃ of the control temperature. The larval growth was greater at 23℃ than at 20℃ laboratory temperatures, and no emergence was recorded at either temperature after eight weeks of monitoring. There was a quadratic relationship between larval growth and temperature in an incubator at five temperature regimes of 15, 20, 25, 30, and 35℃. Midseason water drainage caused the extinction of the existing individuals and newly hatched larvae dominated after re-watering in the rice fields. Larval size was greater in double-cropping fields than in mono-cropping fields in late July but the tendency was reversed in early August. The results of this study suggest that temperature warming will directly promote the larval growth of P. flavescens and indirectly influence seasonal growth via changes in water management in rice fields.

Analysis of latent growth model using repeated measures ANOVA in the data from KYPS (청소년패널자료 분석에서의 반복측정분산분석을 활용한 잠재성장모형)

  • Lee, Hwa-Jung;Kang, Suk-Bok
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.6
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    • pp.1409-1419
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    • 2013
  • We analyzed the data from KYPS using the latent growth model which has been widely studied as an analysis method of longitudinal data. In this study, we applied repeated measures ANOVA to unconditional model in order for faster decision of the unconditional model of the latent growth model. Also, we compared the six-type models, the quadratic model and the model of which repeated measures ANOVA is applied.

Approximate Yield Criterion for Voided Anisotropic Ductile Materials

  • Kim, Youngsuk;Sungyeun Won;Kim, Dogsoo;Hyunsung Son
    • Journal of Mechanical Science and Technology
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    • v.15 no.10
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    • pp.1349-1355
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    • 2001
  • As most fractures of ductile materials in metal forming processes occurred due to the results of evolution of internal damage - void nucleation, growth and coalescence. In this paper, an approximate yield criterion for voided (porous) anisotropic ductile materials is developed. The proposed approximate yield function is based on Gurson's yield function in conjunction with the Hosford's non-quadratic anisotropic yield criterion in order to consider the characteristic of anisotropic properties of matrix material. The associated flow rules are presented and the laws governing void growth with strain are derided. Using the proposed model void growth of an anisotropic sheet under biaxial tensile loading and its effect on sheet metal formability are investigated. The yield surface of voided anisotropic sheet and void growth with strain are predicted and compared with the experimental results.

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The Impact of Network with Central City on Urban Growth (중심도시와의 네트워크가 도시성장에 미치는 영향)

  • Eom, Hyuntae;Woo, Myungje
    • Journal of Korea Planning Association
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    • v.54 no.3
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    • pp.15-26
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    • 2019
  • The development of science and transportation technology leads to the increase of inter - city networks that play an important role in urban growth. Overall, numerous studies based on network theory pay attention to positive effects of urban network on urban growth. However, some studies have pointed out the negative effects of inter-city interactions such as straw effects. This implies that the network between cities may not be positively correlated with urban growth, and that the direction of the influence may vary from a certain threshold, such as the marginal utility curve. In this context, the purpose of this study is to measure the impacts of network with central city on urban growth in the capital region and examine the relationship between urban network and growth. Two multiple regression models are employed with changes in population and employment as dependent variables. The urban network index and other control variables are used as independent variables. Especially, the urban network indexes are used in quadratic forms to examine non linear relations with urban growth such U-shape or an inverted U-shape. The results show that the relationships between networks with the central city and urban growth are not a simple linear, and the influence can be changed from the critical point.

INFINITELY MANY HOMOCLINIC SOLUTIONS FOR DIFFERENT CLASSES OF FOURTH-ORDER DIFFERENTIAL EQUATIONS

  • Timoumi, Mohsen
    • Communications of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.137-161
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    • 2022
  • In this article, we study the existence and multiplicity of homoclinic solutions for the following fourth-order differential equation (1) u(4)(x) + ωu''(x) + a(x)u(x) = f(x, u(x)), ∀x ∈ ℝ where a(x) is not required to be either positive or coercive, and F(x, u) = ∫u0 f(x, v)dv is of subquadratic or superquadratic growth as |u| → ∞, or satisfies only local conditions near the origin (i.e., it can be subquadratic, superquadratic or asymptotically quadratic as |u| → ∞). To the best of our knowledge, there is no result published concerning the existence and multiplicity of homoclinic solutions for (1) with our conditions. The proof is based on variational methods and critical point theory.