• East Asian mathematical journal
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• v.36 no.3
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• pp.359-364
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• 2020

It is known that a 2-generator knot K has a cyclic Alexander module ℤ[t, t^―1]/(Δ(t)) where Δ(t) is the Alexander polynomial of K. In this paper we explicitly show how to reduce 2-generator Alexander modules to cyclic ones by using Chiswell, Glass and Wilsons presentations of 2-generator knot groups $$<\;x,\;y\;{\mid}\;(x^{{\alpha}_1})^{y^{{\gamma}_1}},\;{\cdots}\;,\;(x^{{\alpha}_k})^{y^{{\gamma}_k}}\;>$$ where a^b = bab^-1.

• Korean journal of food and cookery science
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• v.1 no.1
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• pp.82-93
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• 1985

An investigation was conducted on Seoulites' meals outside home by age group and sex, and the resultant findings are as follows: 1. To effectively conduct this survey were taken 201 teen males, 242 teen females, 202 young males, 232 young females, 219 men and 195 women. 2. For the kinds of meals they have outside home, breakfast forms 0.7%, lunch 35.7%, supper 22.2%, and snacks 14.4%. 3. Men subjects "lunch out everyday" by 39.9%, young males by 30.7%, and young females by 29%. 4. The reason why they lunch out indicates "convenient" by 37.4%, "carrying a lunch box is inconvenient" by 21.2%, "hard to prepare the lunch box" by 12.9%. 5. Regarding the favorite food taken for lunch, almost all the men prefer Korean food by 73.9% 6. Ra Myun and noodle occupy the highest Percentage of young females by 79.3% ; Chinese food the highest percentage of women by 27.7%, but the lowest percentage come from Japanese food by 1.1%. 7. The preference of kinds of food when having a meal outside home is ascribed to "prefer"by 50~75.7%, the highest percentage of all. 9. The price they pay for lunch outside home amounts to less than 900 wons in teens and young males 1, 000~2, 000 wons in men and women. The price of a meal outside home per capita a day, when taken by family unit, averages to 3, 694 wons. For the number of meals outside home, "more than once a month" forms 41.7%. 9. On the mooted points raised when having a meal outside home, "unsanitary' forms 36.7%, "expensive in prices" 26.1%, "lack of nutritution" 10.6%. 10. Teen males, when viewed from food preference for lunch outside home, take Ra Myun, Ddokbokki, Chinese noodle, while teen females, Ddokbokki, bread, Chinese noodle: young males, Sundubu Baekban, Bibim Bab, Ra Myun, Yokge Jang; young females, Sundubu Baekban, pork cutlet, Bibin Bab: men, Solnone Tang, Daenjang Chikae, Baekban, Kalbi Jongsik Bibim Bab : women, Bulkogi Jongsik, Neang Moyn, and Chinese noodle. 11. When seen from the nutrition of meals taken outside home, the prices of noodle and boiled rice range from 600 to 1, 000 wons, while their energy ranges from 407 to 745 kcal, Protein from 14.2 to 30.3g. On the other hand, the Price of western food averages to 1, 900~2, 500 wons, while its energy ranges from 1, 061 to 1, 129 kcal, proteio from 45.9 to 72.9g. It is revealed that noodle or boiled rice is not nutritious enough to be taken as a meal.s revealed that noodle or boiled rice is not nutritious enough to be taken as a meal.

• Bulletin of the Korean Chemical Society
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• v.30 no.9
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• pp.1939-1945
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• 2009

Kinetic investigations on the oxidation of pyrazine and four 2-substituted pyrazines viz., 2-methylpyrazine, 2-ethylpyrazine, 2-methoxypyrazine and 2-aminopyrazine by bromamine-B (BAB) to the respective N-oxides have been studied in HCl$O_4$ medium at 303 K. The reactions show identical kinetics being first-order each in $[BAB]_o\;and\;[pyrazine]_o$, and a fractional- order dependence on $[H^+]$. Effect of ionic strength of the medium and addition of benzenesulfonamide or halide ions showed no significant effect on the reaction rate. The dielectric effect is positive. The solvent isotope effect was studied using $D_2$O. The reaction has been studied at different temperatures and activation parameters for the composite reaction have been evaluated from the Arrhenius plots. The reaction showed 1:1 stoichiometry and the oxidation products of pyrazines were characterized as their respective N-oxides. Under comparable experimental conditions, the oxidation rate of pyrazines increased in the order: 2-aminopyrazine > 2-methoxypyrazine > 2-ethylpyrazine > 2-methylpyrazine > pyrazine. The rates correlate with the Hammett $\sigma$ relationship and the reaction constant $\rho$ was found to be -0.8, indicating that electron donating centres enhance the rate of reaction. An isokinetic temperature of $\beta$ = 333 K, indicated that the reaction was enthalpy controlled. A mechanism consistent with the experimental results has been proposed in which the rate determining step is the formation of an intermediate complex between the substrate and the diprotonated species of the oxidant. The related rate law in consistent with observed results has been deduced.

• Kyungpook Mathematical Journal
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• v.64 no.2
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• pp.205-218
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• 2024

Let 𝒜 be a Banach algebra. An element a ∈ 𝒜 has generalized Drazin inverse if there exists b ∈ 𝒜 such that b = bab, ab = ba, a - a²b ∈ 𝒜^qnil. New additive results for the generalized Drazin inverse of an operator over a Banach space are presented. we extend the main results of a paper of Shakoor, Yang and Ali from 2013 and of Wang, Huang and Chen from 2017. Appling these results to 2×2 operator matrices we also generalize results of a paper of Deng, Cvetković-Ilić and Wei from 2010.

• Journal of the Korean Society of Food Culture
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• v.11 no.3
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• pp.369-384
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• 1996

The Buinpilji is a book of food and clothes which was published in 1915 by Binghugak, Lee. The food part of Buinpilji is as follows: (1) The staple food are 2 kinds of Bab, Juk, and Guksoo. (2) The side dishes are 7 kinds of Kimchi, 4 kinds of Tang and Marunchan, 3 kinds of Jim, Jockgall, and Po, 2 kinds of Namul, Jon, Kui, and Jockpyun, and 1 kinds of Son, Shinsonro, Pokkum, Hoe, and Sundae. (3) There are also 10 kinds of Dock, 13 kinds of Kwajungryu, and 8 kinds of Umchungryu. (4) There are 14 different kinds of wine. (5) For seasoning there are 6 kinds of soybean sauce and oils and 1 kinds of vinegar. (6) There are 177 ways of preparing the ingredient 18 kinds of cutting terms, 22 heating terms. 29 expressions of taste can be found in the book.

• Journal of the Korean Society of Food Culture
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• v.2 no.1
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• pp.93-102
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• 1987

It is quite natural that the preference of food should be changed by the effect of the social environments and economic conditions of each period, however, the Korean traditional food has been enrooted firmly as one of the fundamental elements in our life which has been formed in harmony with the natural surroundings and the human life patterns in Korea. As a result of my study on Korean food through various documents and papers which were published in the part from Yi Dynasty till now, about 4,000 items were collected. This paper is prepared to report some of those items with a brief summary.

• Plant Resources
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• v.7 no.3
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• pp.174-180
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• 2004

Calmodulin, a $Ca^{2+}$-binding protein, has no enzyme activity. It combines with $Ca^{2+}$ and makes variable proteins to an active form. Calmodulin 2 is a ubiquitous protein in plants. To investigate the defense mechanism against various stresses, a clone encoding a calmodulin 2 protein was isolated from a cDNA library prepared from taproot mRNAs of Codonopsis lanceolata. The cDNA, designated CICAM2, is 719 nucleotides long and has an open reading frame of 450 bp with a deduced amino acid sequence of 149 residues. The deduced amino acid sequence of CICAM2 showed a high similarity with calmodulins of P. x hybrida (P27163) 97%, N. tabacum (BAB61908) 97%, S. tuberosum (AAA74405) 96%, Z. mays (CAA74307) 92%, C. richardii (AF510075) 93%, M. truncatula (AAM81203) 91%, and G. max (P62163) 91%. The transcriptional expression of the CICAM2 gene, was gradually increased by the CaCl$_2$ treatment. Whereas its expression And it was gradually decreased in the cold stress treatment.ent.

• Journal of the Korean Society of Food Culture
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• v.15 no.3
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• pp.225-232
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• 2000

The Purpose of this study was to understand the China Yunnan Baizu food. This study was performed a visit market based on in- depth interview with food experts those who lived in Baizu province. The results were summarized as follows. The main food of Baizu were Bab, Dduk(BaBa), Nuddle(Mi xian) made from rice. They ate all kind of food from vegetables, fish, and pork, but the remarkable thing was that there were practical limit to select the ingredient. They would use some fermented products such as Pao-chai, Yan-chai, Zha. Pao-chai was fermented vegetables like Kimchi, Yan-chai was similar with Changachi in Korea, and Zha was prepared from meat and fish. Menus for Banquets were included 8 kinds of cold appetizer, 8 kinds of hot dishes, and 2 kinds of sweet desserts. The ingredients were local products and they considered hot, sour, cold taste importantly. The method of cooking was simple and Rusan, Sengpi was the most traditional Baizu food. Ru san is one of dishes prepared from the milk, and milk pedimented product. Sengpi was uncooked pork.

• Journal of the Korean Home Economics Association
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• v.34 no.2
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• pp.283-302
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• 1996

The Umsikbup is a book of Korean woman's life in the Yi-dynasty which published in middle of nineteenth century by unknown author. I have studied the food habits of the Yi-dynasty that wrote in umsikbup as followings ; The stape foods are Bab (boiled cooked rice) 1, Myons (noodles) 4 and Mandu 5 kinds. The side dishes are Guk (soup) 3, Sinsollo 1, Jim 9, Jijim 1, Nooruemi 6, Sun 2, Po 3, Muchim 1, Jabans 3, Jockpyuns 2, Pyunyuk 1, Chae 2, and Kimchi 1 kinds. Thare are D'ock 22, Kwajung 46, Beverages 9 and alcohol are 4 kinds. There are many kinds of Dasikk of the Kwajung in the Umsikbup than no other cooking books. The seasonings are soybean sauce 5, honey 6, oil 4 and sesame seeds 3, ect. There are the description of food types in the seasonal variation and also there are the wisdom of life and avoiding food ; toxic meats, fishes, vegetables and fruits in the taboo food. There are most of Kwajung in the Chanhap (food packed in nest of boxes) in addition to beverages, D'ock, Mandu, decoration methods in the seasonal variation. There are many food making terms which are 163 kinds of prepared cooking term 27 kinds of cutting terms and 17 kinds of boiling terms. And 18 kinds of expression of taste can be seen in this book. There are 24 kinds of table were and cooking kitchen utensils, but many of them came to usefulness 12 kinds of measuring units are very non-scientific because that is not by weight but by bulk or volume.

• Journal of the Korean Society of Food Culture
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• v.20 no.2
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• pp.204-213
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• 2005

This study was focused on the analysis of questionnaire that surveyed the uses, preference and recognition on apple. The subjects of this study consisted of 452 female(married 238, unmarried 214) in Daegu area. Among those respondents, 49.1% answered that they ate apple after dinner. Respondents preferred as purchase place fruits store(34.5%), traditional market(22.6%), and big discount store(21.7%), in order. Taste(46.0%) was the most important as purchase criterion. 49.1% of respondents preferred small amount below 2-3kg every one purchase. In preference survey on apples, 80.5% of total subjects responded 'like' or 'very like', and 73.6% of those subjects who favorably responded liked the 'taste' of apples. The preference survey study on apple foods revealed that respondents preferred the most apple juice(M=3.47), fellowed by apple jam(M=3.35) and apple vinegar(M=3.21). On the other hand, apple bab(M=2.29) and apple jook(M=2.23) had the most low preference score. The recognition survey study on apple revealed that respondents knew relatively well the followings: apple is natural food(M=4.25), apple is good for body and apple is good for beauty(M=4.20). Respondents required apple to be fresher(41.0%) and taster(37.4%). 89.4% of respondents expected that consumption of apples would be increased or maintain at the present level.