• Title/Summary/Keyword: $p$-value

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POSITIVE SOLUTIONS TO A FOUR-POINT BOUNDARY VALUE PROBLEM OF HIGHER-ORDER DIFFERENTIAL EQUATION WITH A P-LAPLACIAN

  • Pang, Huihui;Lian, Hairong;Ge, Weigao
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.59-74
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    • 2010
  • In this paper, we obtain the existence of positive solutions for a quasi-linear four-point boundary value problem of higher-order differential equation. By using the fixed point index theorem and imposing some conditions on f, the existence of positive solutions to a higher-order four-point boundary value problem with a p-Laplacian is obtained.

The Effect of pH on the Condensation Reaction of Benzaldehyde and Semicarbazide (Benzaldehyde와 Semicarbazide의 결합에 미치는 pH치의 영향)

  • 이길상;김인자
    • YAKHAK HOEJI
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    • v.6 no.1
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    • pp.5-7
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    • 1962
  • Like the condensation reaction of general aldehyde, that of benzaldehyde with semicarbazide also depends upon the concentration of carbonium ion that is produced by hydrogen ion. The lower pH value is the facility of the formation of carbonium ion in the condensation reaction, while the reactivity of semicarbazide as a reactant is reduced. In this paper, therefore we want to find out the optimum pH value in the condensation reaction of benzaldehyde with semicarbazide. This optimum pH value was determined by using the simple paper-chromatographic method. According to the result of this experiment, the condensation reaction between benzaldehyde and semicarbazide reacts with its highest point at 3.5pH value. It seems clear that at this point the benzaldehyde acquires the most suitable amount of carbonium ion for the condensation reaction with semicarbazide, and the semicarbazide also has the optimum reactivity.

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Optimum Strategies in Discrete Red & Black

  • Chul H. Ahn;Sok, Yong-U
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.147-151
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    • 2001
  • In discrete red and black, you can stake any amount s in your possession, but the value of s takes positive integer value. Suppose your goal is N and your current fortune is f, with 0$\frac{1}{2}$ where the house has the advantage over the player, and with the value of p greater than $\frac{1}{2}$ where the player has the advantage over the house. The optimum strategy at any f when p<$\frac{1}{2}$ is to play boldly, which is to bet as much as you can. The optimum strategy when p>$\frac{1}{2}$ is to bet 1 all the time.

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The Dyeing Properties of Silk Fabric of Leaf Mustard (Brassica Juncea) Extract (갓 추출물의 견직물에 대한 염색성)

  • Lee, Young-Suk;Jang, Jeong-Dae
    • Fashion & Textile Research Journal
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    • v.5 no.4
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    • pp.389-394
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    • 2003
  • Dyeing properties of silk fabric with leaf Mustard was investigated the relation with pH variation, mordants, mordant method. K/S value shows the following sequence: pH 3>pH 5>pH 7>pH 9. K/S value shows high in post mordant conditions. Silk fabric shows the green, blue tone according to mordants(Al, Cu, Fe mordants). The tannic acid treatment silk fabric shows higher than the nontannic acid treatment silk fabric in K/S value. Lighting fastness of tannic acid treatment silk fabric shows better than that of nontannic acid treatment in Cu, Fe mordants. Water fastness of tannic acid treatment silk fabric was wholly improved. Tannic acid treatment improved dyeing properties of silk fabric with leaf Mustard.

The investigation of pH threshold value on the corrosion of steel reinforcement in concrete

  • Pu, Qi;Yao, Yan;Wang, Ling;Shi, Xingxiang;Luo, Jingjing;Xie, Yifei
    • Computers and Concrete
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    • v.19 no.3
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    • pp.257-262
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    • 2017
  • The aim of this study is to investigate the pH threshold value for the corrosion of steel reinforcement in concrete. A method was designed to attain the pH value of the pore solution on the location of the steel in concrete. Then the pH values of the pore solution on the location of steel in concrete were changed by exposing the samples to the environment (CO25%, RH 40%) to accelerate carbonation with different periods. Based on this, the pH threshold value for the corrosion of steel reinforcement had been examined by the methods of half-cell potential and electrochemical impedance spectra (EIS). The results have indicated that the pH threshold value for the initial corrosion of steel reinforcement in concrete was 11.21. However, in the carbonated concrete, agreement among whether steel corrosion was initiatory determined by the detection methods mentioned above could be found.

The study for the Epidemiologic Characteristics of Cancer Patients in Jeju Special Self-governing Province (제주특별자치도 암 환자의 역학적인 특성에 관한 연구)

  • Chang, Weon-Young
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.2
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    • pp.1292-1303
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    • 2015
  • Jeju province is the highest area about obesity(1st), alcohol consumption(2nd) and male smoking(2nd) among sixteen Korean provinces by the report of Statistics Korea: 2013 community health survey. Therefore, it is assumed that the incidence rate of colon, liver, lung and breast cancer can be high. The purpose of this study is to test these cancer's incidence and mortality trends and compare comparability with national average. The Joinpoint regression model and permutation tests for identifying changes and parallelism in trend were used to test registered data at Jeju Regional Cancer Registry from 1999 to 2012. In male colorectal cancer, Average Age Percent Change(AAPC) of Age-Standardized incidence Rate(ASR) was 8.4% per year(p-value<.000) and the hypothesis of parallelism with Korean male average was rejected because of steep increasing of Jeju male patients' AAPC(p-value=.047). In male liver cancer, AAPC of ASR was -2.98 % per year(p-value<.000) and parallelism with Korean male average was rejected because of sluggish decreasing of Jeju(p-value=.026). In male lung cancer, the ASR parallelism with Korean male average was rejected(p-value=.009) because Jeju patients APC(4.37% per year) was increased during 2006~2012. This study demonstrates that AAPC and Trends of male colon, male lung and male liver were difference from national average. Further studies are needed to understand its causes.

Relationships of Family Value, Vamily Hardiness and Hamily Adaptation in Family who has a Child with Cancer (암환아 가족의 가치관, 강인성과 적응과의 관계)

  • Park In-Sook
    • Child Health Nursing Research
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    • v.7 no.2
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    • pp.179-190
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    • 2001
  • The purposes of the study were to develop an instrument for family value and to identify the relationships of family value, family hardiness, and family adaptation by appling the family value scale to family with cancer children. The study was conducted in three phases. 1) A survey was conducted from July 20 to August 20, 1999 and 18 items of general family value scale was modified from the data of 153 fathers and 164 mothers. 2) In-depth interviews were made with 29 parents of cancer children from April 20, 1998 to May 20, 1999 to develop family value scale with cancer children, and 12 statements were developed. 3) The final survey was conducted from July 18, 2000 to August 30, 2000 and the data from 309 parents of children who are diagnosed as cancer, 18 or less years of age, and treated either hospitalized or at the outpatient clinics were analyzed to identify the relationships of the concepts. The data analysis utilized SAS 6.12 and LISREL 8 for descriptive statistics, correlation, and Regression for path analysis. The study findings are as follows. The psychometric testing of general family value scale was Cronbach's alpha = 0.78. The reliability of the family value scale with cancer children showed the reliability as Cronbach's alpha = 0.73. Demographic characteristics showing significant correlations were cancer children's age, period of illness, period after completing treatment, mother's age, mother's education level, monthly income, payment type, confidence with health professional, and severity of children's illness. The correlation coefficients among major variables showed that family stressor was positively related with family strains(r=0.33, p<.001), and negatively related with family hardiness(r=-0.21, p<.001). Family strains was negatively related with family hardiness(r= -0.41, p<.001) and family adaptation(r=-0.46, p<.001). Correlations of family hardiness was positive with family value with cancer children(r=-0.31, p<.001), and negative with general family value(r=-0.16, p<.01). Family hardiness was positively related with family adaptation(r=0.35, p<.001). The causal relationship between study variables showed that family strains predicts general family value(γ=0.12, t=2.02), family value with cancer children predicts family hardiness(γ=0.31, t=6.30), family strains predicts family hardiness(γ=-0.40, t=-7.70), family value with cancer children predicts family adaptation(γ=-0.23, t=-4.11), and family hardiness predicts family adaptation(γ=0.43, t=7.78).

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POSITIVE SOLUTIONS FOR A THREE-POINT FRACTIONAL BOUNDARY VALUE PROBLEMS FOR P-LAPLACIAN WITH A PARAMETER

  • YANG, YITAO;ZHANG, YUEJIN
    • Journal of applied mathematics & informatics
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    • v.34 no.3_4
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    • pp.269-284
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    • 2016
  • In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕp(s) = |s|p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕp(s) = |s|p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).

Changes in the Physicochemical Properties of Ground Pork Meat Containing Persimmon Peel during Refrigerated Storage (감 껍질을 함유한 분쇄 돈육의 냉장 저장 중 이화학적 특성 변화)

  • Choi, Gang-Won
    • Journal of Life Science
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    • v.29 no.7
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    • pp.792-799
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    • 2019
  • This study was carried out to investigate the effect of persimmon peel on the physicochemical properties of ground pork stored at $4^{\circ}C$ for 10 days. Four types of ground pork were evaluated: T0 without dried persimmon peel powder, and T1 with 0.3%, T2 with 0.7%, and T3 with 1.0% dried persimmon peel powder. The pH increased during storage, with the pH of T3 being the lowest (p<0.01). The L-value and b-value were not significantly changed, but the a-value decreased during storage. On the 10th day of storage, the a-values were significantly higher for T2 and T3 than for T0 and T1 (p<0.001). TBARS significantly increased during storage, with lower values for T2 and T3 than for T0 and T1 (p<0.001). DPPH free radical scavenging activity decreased during storage, with T0 having the lowest value (p<0.001). The VBN content increased during storage, and the VBN content of T0 was the highest at the 10th day (p<0.05). The water-holding capacity decreased and cooking loss increased during storage. Hardness and chewiness increased, while springiness and gumminess decreased during storage. The results of this study showed that the addition of persimmon peel during the process of making ground pork had antioxidant effects that maintained redness and physical quality. A 0.7% addition was the most appropriate.

Evaluation of the Nutritional Composition and Quality Traits of Rabbit Meat (토끼고기의 영양성분 및 품질특성 평가)

  • Lee, Jeong Ah;Jung, Suk Han;Seol, Kuk-Hwan;Kim, Hyoun-Wook;Cho, Soohyun;Kang, Sun Moon
    • Journal of the Korean Society of Food Culture
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    • v.37 no.2
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    • pp.171-177
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    • 2022
  • This study evaluated the nutritional composition and quality traits of rabbit meat as compared to chicken meat. Samples of loin (M. longissimus dorsi) and breast meats were collected from rabbit and chicken carcasses, respectively. The meats were then analyzed for the proximate composition, collagen and energy contents, fatty acid composition, myoglobin and heme iron contents, pH value, water-holding capacity (WHC), cooking loss, meat color, Warner-Bratzler shear force (WBSF) value, and texture profile. Compared to chicken breast meat, lower (p<0.05) protein content and higher (p<0.05) ash and collagen contents were obtained in rabbit loin meat. Rabbit meat remarkably had higher (p<0.05) total polyunsaturated fatty acids (PUFA) and linolenic acid contents and lower (p<0.05) n-6/n-3 PUFA ratio as compared to chicken meat. The pH value and WHC were lower (p<0.05) in rabbit meat than in chicken meat (p<0.05). Rabbit meat exhibited lower (p<0.05) L* value and higher (p<0.05) a* and b* values compared to chicken meat (p<0.05). The WBSF value, hardness, and gumminess were higher (p<0.05) in rabbit meat than in chicken meat (p<0.05). These findings suggest that rabbit meat has higher essential n-3 PUFA, darker color, and firmer texture as compared to chicken meat.