• East Asian mathematical journal
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• v.32 no.5
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• pp.609-619
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• 2016

Folsom [10] investigated character formulas and Chaudhary [7] expressed those formulas in terms of continued fraction identities. Andrews et al. [2] introduced and investigated combinatorial partition identities. By using and combining known formulas, we aim to present certain interrelationships among character formulas, combinatorial partition identities and continued partition identities.

• Honam Mathematical Journal
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• v.38 no.4
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• pp.809-818
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• 2016

Chaudhary and Choi [7] presented 14 identities which reveal certain interesting interrelations among character formulas, combinatorial partition identities and continued partition identities. In this sequel, we aim to give slightly modified versions for 8 identities which are chosen among the above-mentioned 14 formulas.

• Journal of Nutrition and Health
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• v.19 no.1
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• pp.3-15
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• 1986

This study was intended to investigate the rheological properties of the development formula of infant foods and the results are summarized as follow ; 1) Consistency of starch solutions measured by Brabender Anylograph and Brookfield viscometer showed that waxy rice and riece with malt had lower consistency and more rheological stability.The flow type of tested raw materials and formula was found to ？ pseudoplastic, as judged by n-value of 0.332 -0.692, and no yield value. 2) The influenced of temperature on consistency could be accounted for by the equation, In (n) = K(1/T) + const. this relationship indicated that consistency of tested sample increased as temperature decreased. The consistency of waxy rice, rice with malt and formula A were less affected by the temperature change. 3) Infant foods with malt(formula A ) ad with waxy rice maintained better freeze-thaw stability in terms of consistency and starch aggregation indicating that this infant food could be stored for a long term in the freezer section of the home refrigeratory without adverse effect on the product quality. 4) From the above experiments, it would necessarily follow that infant food can be easily made at home the food-stuffs generally available around us, and that the easiest and safest way to store them lies in making them into semisolid state, and in keeping them in frozen state.

• Elastomers and Composites
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• v.16 no.1
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• pp.3-13
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• 1981

The purpose of this dissertation is to study the physical properties of cellular rubber products for industrial use. Vulcanization characteristics were investigated by usingcure curve that had obtained by means of Rheometer. The results of physical properties, vulcanization characteristics and foaming states are as follows. 1. The test results for vulcanization characteristics of NR compounds indicated that in the recipe R-1. When accelerator D is used, the optimum conditions of vulcanizate are obtained, while formula R-2 and R-3 have shown higher torgue at curing time, $1{\sim}2$ minutes. Cellular rubber product test in terms of compression set and compression deflection has also met the requirements of SAE. 2. For SBR compounds, S-1 formula was the best in terns of vulcanization characteristics, and for the blowing structure of cellular rubber products, formula S-3 in which accelerator M is added was fair. All other test results, such as compression set and compression deflection properties met SAE requirements. 3. NBR compound (N-1) including accelerator TT was the best in terms of vulcanization characteristic and also blowing structure. All other properties listed above met requirements, particulary for oil resistance test. 4. In the test of EPDM compounds, when mixed accelerator, M and TT, is used(formula E-1) the best results were obtained. Since EPDM is hydrocarbon elastomer, oil resistance test failed. All other properties met the requirement specified in SAE.

• Food Science of Animal Resources
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• v.34 no.6
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• pp.749-756
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• 2014

A rapid and simple analytical method for L-carnitine was developed for infant and toddler formulas by liquid chromatography tandem mass spectrometry (LC-MS/MS). A 0.3 g of infant formula and toddler formula sample was mixed in a 50 mL conical tube with 9 mL water and 1 mL 0.1 M hydrochloric acid (HCl) to chemical extraction. Then, chloroform was used for removing a lipid fraction. After centrifuged, L-carnitine was separated and quantified using LC-MS/MS with electrospray ionization (ESI) mode. The precursor ion for L-carnitine was m/z 162, and product ions were m/z 103 (quantitative) and m/z 85 (qualitative), respectively. The results for spiked recovery test were in the range of 93.18-95.64% and the result for certified reference material (SRM 1849a) was within the range of the certificated values. This method could be implemented in many laboratories that require time and labor saving.

• Bulletin of the Korean Mathematical Society
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• v.51 no.6
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• pp.1561-1577
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• 2014

In this paper, we define a conditional transform with respect to the Gaussian process, the conditional convolution product and the first variation of functionals via the Gaussian process. We then examine various relationships of the conditional transform with respect to the Gaussian process, the conditional convolution product and the first variation for functionals F in $S_{\alpha}$ [5, 8].

• Journal of the Korean Mathematical Society
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• v.54 no.1
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• pp.117-139
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• 2017

This paper presents a systematic study for theoretical aspects of a unified approach to the abstract relative Fourier transforms over canonical homogeneous spaces of semi-direct product groups with Abelian normal factor. Let H be a locally compact group, K be a locally compact Abelian (LCA) group, and ${\theta}:H{\rightarrow}Aut(K)$ be a continuous homomorphism. Let $G_{\theta}=H{\ltimes}_{\theta}K$ be the semi-direct product of H and K with respect to ${\theta}$ and $G_{\theta}/H$ be the canonical homogeneous space (left coset space) of $G_{\theta}$. We introduce the notions of relative dual homogeneous space and also abstract relative Fourier transform over $G_{\theta}/H$. Then we study theoretical properties of this approach.

• Agribusiness and Information Management
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• v.6 no.2
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• pp.40-48
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• 2014

As basic research to develop HEV and EV agricultural field machinery, the present study analyzes the technical trend of electric agricultural field machinery through product analysis, paper analysis, and patent analysis concerning HEV and EV in the automobile, construction machinery, and agricultural machinery sectors. For product analysis, the homepages of companies in these sectors were consulted to analyze the number of products of each company. For paper analysis, key words related to HEV and EV were selected, a search formula was drawn up, and articles search sites were consulted. And for patent analysis too, key words were selected and then a search formula was drawn up to examine published patent applications or registered patent applications, and trends were analyzed by structure, country, and year. The number of HEV and EV products were 17 in the automobile area, 8 in construction machinery, and 4 in agricultural machinery. Notably, in the agricultural machinery area, all HEV and EV products were from advanced companies overseas. In terms of papers, papers published in the past 5 years were searched and 33,195 papers were from the automobile area, 3,806 were from construction machinery, and 2,687, the fewest papers, were from the agricultural machinery area. A search of patents in the electric drive technology area in Korea, USA, and Japan, and Europe showed 1,927 valid patents, with 1,120 in Japan, 497 in USA, 193 in Korea, and 117 in Europe. Analysis of the trend of research on electric agricultural field machinery by product, paper, and patent shows the development of HEV and EV technology in Korea is insufficient compared to USA, Japan, and Europe, which means rapid technological development is needed.

• Herbal Formula Science
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• v.17 no.2
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• pp.111-121
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• 2009

Objectives : This study was performed to evaluate the efficacy of ampule containing herbal extract(Ulmus davidiana, Ginkgo biloba, Perilla ocymoides, Morus alba, Glycyrrhiza uralensis (licorice), and Angelica gigas) on skin wrinkles in adult women with facial wrinkles. Methods : A total of 12 women, 30 to 46 years of age, with wrinkles in the corner of eyes, applied ampule containing herbal extract twice daily for up to 12 weeks. Silicon replicas of right crow's feet area and antecubital fossa were taken before use of test product and at 4, 8 and 12 weeks. The replicas were analyzed by optical profilometry with Skin Visiometer SV600. The wrinkle and roughness parameters, R1, R2, R3, R4 and R5 were calculated and statistically analyzed. In addition, a subjective evaluation of product efficacy was conducted by patient's assessment. Results : The mean values of all the skin roughness parameters were decreased at 4-week, and decreased significantly at 8 and 12-week except R4 at 12-week after test product use. The subjective evaluation of wrinkle by patient's assessment was also improved. However, one patient noted stiffness of face after use of test product. Conclusions : These study suggested that the application of ampule containing herbal extract twice daily for 12 weeks may effectively improve the facial wrinkles without severe side effect.

• Herbal Formula Science
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• v.26 no.4
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• pp.319-327
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• 2018

Objectives : Astragali Radix is known as a perennial plant, and it is estimated that there may be differences in the contents and their components depending on the ages. The components of astragali radix may activate differently. Methods : The astragali radix components cultivated in Jecheon( one year ), Korea, Shanxi province( 7 years ), China, Inner Mongolia( 5 years) and Inner Mongolia ( 8 years ) were extracted with pure ethyl alcohol and identified the component molecules. The extracted components of astragali radix were measured the activity of Telomerase for confirmation of their Telomere lengths. Results : The cell activity has been shown the greatest contribution in astragali radix of Inner Mongolia(8 years). Although there is the difference in cell activity between the two products of the 5 and 7 years, the difference between the values was small and the 7 years product was slightly higher than 5 years product. Conclusions : Total Astragaloside contents were highest in the product of Inner Mongolia(8 years), followed by the 7 year product of Shanxi province. Especially, astragaloside and cycloastragenol (TA-65) among the astragali radix components have shown to be increased Telomerase activity in the DNA metabolism of the cells, and the efficacy depends on the ages of growth.