• Journal of the Korean Society of Food Science and Nutrition
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• v.43 no.4
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• pp.592-603
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• 2014

We developed various recipes of turmeric powder (Curcuma longa L.) added to milk bread and assessed the individual effects of seven ingredients [milk ($X_1$), turmeric powder ($X_2$), bread improver ($X_3$), fresh yeast ($X_4$), butter ($X_5$), sugar ($X_6$), and salt ($X_7$)] as well as the 2-way interaction effects of the ingredients on the sensory characteristics of breads using fractional factorial design method. The center and end points of each component were determined via literature review and multiple test baking. Seven trained sensory test panels evaluated the outside appearance (OA), inside appearance (IA), and flavor & texture (FT) of 38 breads using 46 items of sensory evaluation. Findings are as follows: for the OA, $X_1$ (P<0.05) and $X_4$ (P<0.0001) exhibited significant individual effects, whereas $X_1*X_7$, $X_2*X_5$, $X_3*X_6$, and $X_4*X_6$ indicated significant interaction effects (P<0.05). For the IA, $X_1$ (P<0.0001), $X_4$ (P<0.0001), $X_6$ (P<0.05), $X_2*X_4$ (P<0.05), and $X_3*X_6$ (P<0.01) showed individual and interaction effects, respectively. For the FT, $X_1$ and $X_2$ showed the most significant individual effect (P<0.0001), followed by $X_4$, $X_5$ and $X_6$ (P<0.05) in descending order. $X_4*X_7$ indicated the only significant interaction effect. We computed the magnitudes of the 2-way interaction effects of the ingredients with a distinct emphasis. Model equations predicting the levels of the ingredient effects on the breads were also provided via regression analyses. In summation, $X_4$ appeared to be the most significant component affecting the sensory characteristics based on its individual and 2-way interaction effects. Further, $X_6$, $X_1$, $X_2$, and $X_5$ indicated both individual and interaction effects. $X_3$ and X7 showed only interaction effects. The center point effect appeared to be unequivocal for whole sensory characteristics. Findings of the present study may provide insights into the selection of ingredients to derive an optimal model for turmeric powder-added bread using the response surface method hereafter.

• Honam Mathematical Journal
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• v.42 no.1
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• pp.139-150
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• 2020

Let p be a prime number with p > 3, p ≡ 3 (mod 4) and let n be a positive integer. In this paper, we prove that the Diophantine equation (5pn² - 1)^x + (p(p - 5)n² + 1)^y = (pn)^z has only the positive integer solution (x, y, z) = (1, 1, 2) where pn ≡ ±1 (mod 5). As an another result, we show that the Diophantine equation (35n² - 1)^x + (14n² + 1)^y = (7n)^z has only the positive integer solution (x, y, z) = (1, 1, 2) where n ≡ ±3 (mod 5) or 5 | n. On the proofs, we use the properties of Jacobi symbol and Baker's method.

• The Pure and Applied Mathematics
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• v.28 no.4
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• pp.387-398
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• 2021

In this paper, we will find solutions and investigate the superstability bounded by constant for the p-radical functional equations as follows: $f\(\sqrt[p]{\frac{x^p+y^p}{2}}\)^2-f\(\sqrt[p]{\frac{x^p-y^p}{2}}\)^2=\;\{(i)\;f(x)f(y),\\(ii)\;g(x)f(y),\\(iii)\;f(x)g(y),\\(iv)\;g(x)g(y).$ with respect to the sine functional equation, where p is an odd positive integer and f is a complex valued function. Furthermore, the results are extended to Banach algebra.

• BMB Reports
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• v.51 no.9
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• pp.468-473
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• 2018

Purinergic receptor signaling is increasingly recognized as an important regulator of inflammation. The P2X family purinergic receptors P2X5 and P2X7 have both been implicated in bone biology, and it has been suggested recently that P2X5 may be a significant regulator of inflammatory bone loss. However, a role for P2X5 in periodontitis is unknown. The present study aimed to evaluate the functional role of P2X5 in ligature-induced periodontitis in mice. Five days after placement of ligature, analysis of alveolar bone revealed decreased bone loss in $P2rx5^{-/-}$ mice compared to $P2rx7^{-/-}$ and WT control mice. Gene expression analysis of the gingival tissue of ligated mice showed that IL1b, IL6, IL17a and Tnfsf11 expression levels were significantly reduced in $P2rx5^{-/-}$ compared to WT mice. These results suggest the P2X5 receptor may regulate bone loss related to periodontitis and it may thus be a novel therapeutic target in this oral disease.

• Journal of Korean Ophthalmic Optics Society
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• v.14 no.1
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• pp.47-56
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• 2009

Purpose: To find optimized luminosity factor of color from light transmission filter. Methods: To make $Y_{1-x}G_{x}$, $Y_{1-x}P_{x}$ by using CR-39 compound within dipping method, mixing up Y(Yellow), G(green) and P(pink) for optimize eye sensitivity. Modeling for relative luminous efficiency(relative sensitivity) curves in Luminose transmission, it could be resolved by Multiplying sensitivity of eye within transmission rate of Lens ($P_f({\lambda}=T({\lambda}){\cdot}P({\lambda}).)$.). To evaluate Wavelength between 400~700 nm, relative luminous efficiency curve in Area and Height value is being used. Results: In color filter of $Y_{1-x}G_{x}$ position of x equals to 0.04, 0.1, 0.08, 0.12, 0.14, 0.5 at ${\beta}=S_1/S_0{\cdot}100$ each consist value of 76.1, 77.9, 80.7, 81.6, 80.2, 18.6 In color filter of $Y_{1-x}P_{x}$ position of x equals to 1.00, 0.2, 0.6, 0.8 at ${\beta}=S_1/S_0{\cdot}100$ each consist value of 74.3, 74.0, 70.5, 33.0 The result from experiment $Y_{1-x}P_{x}$ value less than $Y_{1-x}G_{x}$, from evaluating luminous efficiency curve and test was successfully optimized. Conclusions: Optimized relative luminous efficiency curve result have value of X=0.12-0.14 at $Y_{1-x}G_{x}$.

• Journal of East-West Nursing Research
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• v.1 no.1
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• pp.72-81
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• 1997

Korean society is a mix of western and traditional cultures. Even though the patients try to recover through both aspects, hospital only utilizes a western approachs. When they have suffered from a chronic disease, especially diabeties meliitus(DM), application of folk medicine is more varied but the nurses are unaware of the practices. This study was done to describe the current use of the folk medicine with which the patients with DM have had an experience and to identify the relationships between the westernized medical care and folk medicine application. The 244 patients with non-insulin dependent diabetes millitus who participated were interviewed at a DM education clinic in a 1500-bed hospital. The results of the study are as follows: 1. 54.1%(N=133) of the participated patients in this study have had a folk medicine. 2. 44 kinds of folk medicine were used for the treatment of DM. Among them 14 items were used by more than two people and the rest were used by one person. Among the used items, 70.4% consisted of various types of plants, 11.4% was animal material and 18. 2% was the mixed group. As a single item, Commelina Communis(Dalgaebi) was the most frequently used(62.8%), followed by the root of Rosa rugosa(Haedangwha) 14.3%, and Youngi mushroom 13.6%. 3. In the analysis of the relationships between the general characters of the patients with regular fol1ow-up(F-U), self blood sugar test(BST) and folk medicine usage: 1) The higher the educational back ground patient had, the lower the folk medicine usage was ($X^2$=14.265, P=.003). 2) The more complex their treatment was($X^2$=24. 016. P=.000). and the longer they had suffered from DM($X^2$=75.739, P=.000), the fewer they visited regular F-U. On the other hand, they did self-BST well($X^2$=7.722, P=.021 : $X^2$=14. 775, P=.002) and had more folk medicine($X^2$=33.382, P=.000 ; $X^2$=43.410, P=.000). 3) If they had suffered many symptoms, they had fewer regular F-U ($X^2$=13.192. P=.001). On the other hand, they had more folk medicine($X^2$=6.070, P=.048). 4) The group of family history($X^2$=6.801. P=.009) and the group of DM education experience($X^2$=15.678, P=.000) carried out self BST well. DM education group used more folk medicine($X^2$=8.680, P=.003). In conclusion, DM education should be grouped according to the treatment type and suffering period. Then the management of DM would be effective and the vague application of folk medicine would be decreased.

• The Pure and Applied Mathematics
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• v.11 no.1
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• pp.15-22
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• 2004

In this paper, we investigate asymptotic stability, oscillation, asymptotic behavior and existence of the period-2 solutions for difference equation $x_{n+1}\;=\;{\alpha}\;+\;\beta{x_{n-1}}^{p}/{x_n}^p$ where ${\alpha}\;{\geq}\;0,\;{\beta}\;>\;0.\;$\mid$p$\mid$\;{\geq}\;1$, and the initial conditions $x_{-1}\;and\;x_0$ are arbitrary positive real numbers.

• Communications of the Korean Mathematical Society
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• v.34 no.1
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• pp.1-16
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• 2019

Let a, b, P, and Q be real numbers with $PQ{\neq}0$ and $(a,b){\neq}(0,0)$. The Horadam sequence $\{W_n\}$ is defined by $W_0=a$, $W_1=b$ and $W_n=PW_{n-1}+QW_{n-2}$ for $n{\geq}2$. Let the sequence $\{X_n\}$ be defined by $X_n=W_{n+1}+QW_{n-1}$. In this study, we obtain some new identities between the Horadam sequence $\{W_n\}$ and the sequence $\{X_n\}$. By the help of these identities, we show that Diophantine equations such as $$x^2-Pxy-y^2={\pm}(b^2-Pab-a^2)(P^2+4),\\x^2-Pxy+y^2=-(b^2-Pab+a^2)(P^2-4),\\x^2-(P^2+4)y^2={\pm}4(b^2-Pab-a^2),$$ and $$x^2-(P^2-4)y^2=4(b^2-Pab+a^2)$$ have infinitely many integer solutions x and y, where a, b, and P are integers. Lastly, we make an application of the sequences $\{W_n\}$ and $\{X_n\}$ to trigonometric functions and get some new angle addition formulas such as $${\sin}\;r{\theta}\;{\sin}(m+n+r){\theta}={\sin}(m+r){\theta}\;{\sin}(n+r){\theta}-{\sin}\;m{\theta}\;{\sin}\;n{\theta},\\{\cos}\;r{\theta}\;{\cos}(m+n+r){\theta}={\cos}(m+r){\theta}\;{\cos}(n+r){\theta}-{\sin}\;m{\theta}\;{\sin}\;n{\theta},$$ and $${\cos}\;r{\theta}\;{\sin}(m+n){\theta}={\cos}(n+r){\theta}\;{\sin}\;m{\theta}+{\cos}(m-r){\theta}\;{\sin}\;n{\theta}$$.

• Journal of the Korean Society of School Health
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• v.18 no.1
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• pp.83-93
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• 2005

Purpose: The purpose of this study was to confirm the effects of lectures on sexuality and investigate changes in students' sexual knowledge and consciousness. Method: The subjects in this study were 50 students at K University in Busan, and the research period was from the $8^{th}$ of March to the $7^{th}$ of June 2004. This study was designed to be one-group pretest-posttest. Data were analyzed by frequencies, percentages, means, standard deviations, paired t-test and $x^2$-test using the SPSS 10.0 program. Results: 1. The score of sexual knowledge increased from 14.48 before the education to 15.70 after and the difference was statistically significant (t=3.926, p<.001). 2. Significant differences of sexual consciousness were observed in 'the extent of sexual behavior' ($x^2$=12.584, p<.05), 'the meaning of intercourse' ($x^2$=46.014, p<.001), 'the self attitude of premarital purity' ($x^2$=84.686, p<.001), 'the premarital intercourse' ($x^2$=75.323, p<.001), 'the definition of purity' ($x^2$=23.770, p<.001), 'the general premarital purity attitude' ($x^2$=32.305, p<.001), 'the conception of love, sex and marriage' ($x^2$=38.452, p<.001) and 'the premarital sex experiences' ($x^2$=50.210, p<.001). Conclusions: This study showed that a sexuality course has effects on increasing sexual knowledge and changing the consciousness in university students.

• Communications of the Korean Mathematical Society
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• v.17 no.2
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• pp.221-227
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• 2002

In this paper we will show that the followings ; (1) Let R be a regular local ring of dimension n. Then $A_{n-2}$(R) = 0. (2) Let R be a regular local ring of dimension n and I be an ideal in R of height 3 such that R/I is a Gorenstein ring. Then [I] = 0 in $A_{n-3}$(R). (3) Let R = V[[ $X_1$, $X_2$, …, $X_{5}$ ]]/(p+ $X_1$$^{t1}$ + $X_2$$^{t2}$ + $X_3$$^{t3}$ + $X_4$$^2$+ $X_{5}$ $^2$/), where p $\neq$2, $t_1$, $t_2$, $t_3$ are arbitrary positive integers and V is a complete discrete valuation ring with (p) = mv. Assume that R/m is algebraically closed. Then all the Chow group for R is 0 except the last Chow group.group.oup.