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DIFFERENTIAL EQUATIONS CONTAINING 2-VARIABLE MIXED-TYPE HERMITE POLYNOMIALS

  • J.Y. KANG
    • Journal of applied mathematics & informatics
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    • v.41 no.3
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    • pp.687-696
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    • 2023
  • In this paper, we introduce the 2-variable mixed-type Hermite polynomials and organize some new symmetric identities for these polynomials. We find induced differential equations to give explicit identities of these polynomials from the generating functions of 2-variable mixed-type Hermite polynomials.

DIFFERENTIAL EQUATIONS AND ZEROS FOR NEW MIXED-TYPE HERMITE POLYNOMIALS

  • JUNG YOOG KANG
    • Journal of applied mathematics & informatics
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    • v.41 no.4
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    • pp.869-882
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    • 2023
  • In this paper, we find induced differential equations to give explicit identities of these polynomials from the generating functions of 2-variable mixed-type Hermite polynomials. Moreover, we observe the structure and symmetry of the zeros of the 2-variable mixed-type Hermite equations.

The Current Status and Development Direction of Mixed Reality Content (혼합현실 콘텐츠의 현황과 발전방향)

  • Kim, Hee-young
    • Cartoon and Animation Studies
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    • s.46
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    • pp.181-206
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    • 2017
  • In the near future, we are expected to live in a Mixed Reality environment where reality and virtuality coexist as today we live using the Internet and smartphones in our daily lives. The relevant content based on the idea of Mixed Reality crystallizing is currently expanding, and it is time for research on it. This study examines the current situation and the development direction of mixed reality contents. Typical mixed reality contents can be classify by wearability. We analyzed HoloLens, a mixed reality wearable device that is worn on a head, which is a example of wearable device. As an example of unwearable device, we also analyzed the Room2Room which is a communication system that combines video with augmented reality-based telepresence avatar. Mixed Reality content will develop in the direction of implementing expanded use of information and more natural realism through the interactive combination of Reality, Virtual Reality, and Augmented Reality. As head-mounted wearable technology develops, Mixed Reality content is expected to become popular by increasing the number of Mixed Reality device users if convenience and price competitiveness are secured. The way of unifying Mixed Reality wearable devices must be established in order to increase convenience, and the environment based on Mixed Reality will be created through diversifying leisure activity content. Telepresence Avatar is expected to develop into Mobile Hologram Avar as Mixed Reality content accessible anywhere and at anytime beyond space limits. Another potential for development of Telepresence Avatar is the combination of Avatar moving on user's thought, Augmented Human technology and Mixed Reality.

Antioxidant Component and Sensory Evaluation of Mixed Cereals (혼합잡곡의 항산화 물질과 기호도)

  • Lee, Kyung-Haeng
    • The Korean Journal of Food And Nutrition
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    • v.28 no.2
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    • pp.196-201
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    • 2015
  • To improve functionality of rice, we manufactured mixed cereals and mixed cereals with taste materials and evaluated their antioxidant component (ascorbic acid, tocopherols, polyphenols and flavonoids) contents and sensory evaluation. Ascorbic acid content in water extract of the control was 6.68 mg%, and mixed cereals were 18.23 and 21.84 mg%, respectively. Ascorbic acid content in methanol extract of the control was lower than those of mixed cereals too. ${\beta}$-Tocopherol was the only tocopherol detected in the control. However, tocopherols detected in mixed cereals were ${\alpha}$-, ${\beta}$-. ${\gamma}$-, ${\delta}$-tocopherol and ${\alpha}$-, ${\gamma}$-tocotrienol, with a highest content of ${\gamma}$-tocopherol. Total tocophenols content of the control was 1.26 mg%, whereas, those of mixed cereals were 19.24 and 39.32 mg%, respectively. Polyphenols contents in water extract of the control was 2.20 mg%, and mixed cereals were 14.38 and 21.91 mg%, respectively. In addition, polyphenols contents in methanol extract of mixed cereals were higher than that of the control, too. Flavonoids were undetected in water extract of the control, but flavonoids contents of mixed cereals were 42.45 and 32.54 mg%, respectively. In methanol extracts, flavonoids contents of the control and mixed cereals were not significantly different. The sensory parameters including taste, flavor, color, texture and overall acceptance of control were lower than those of mixed cereals. Especially, mixed cereals with taste materials was the highest acceptance.

Development of Numerical Model for Mixed Soil Problems Using Dry Bulk Density and Investigation of Its Numerical Stability (건조체적밀도를 적용한 혼합토사 수치모델의 개발과 수치적 안정성 평가)

  • Cho, Yong-Hwan;Lee, Kwang-Ho
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.33 no.3
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    • pp.110-121
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    • 2021
  • The importance of tidal flats lost due to industrialization has recently received attention, and attention is being paid to the creation of artificial tidal flats and maintenance of natural tidal flats. However, there is still a lack of understanding about the behavioral characteristics of mud, mud, and sand that form tidal flats. Although research on the movement characteristics of mixed soils such as tidal flats has been conducted through field investigations and hydraulic experiments, interest in developing a numerical model based on these results has not yet reached. In this paper, the purpose of this paper is to establish a mixed soil model that can efficiently manage the low quality of the tidal flats. In constructing a model for reproducing the surface movement of mixed soil, the numerical stability of the reproduction and movement of sand and mud constituting the mixed soil in the numerical model should be considered first, so first, the volume of sand and mud constituting the mixed soil A mixed soil model representing the relationship was proposed based on a topographical diagram representing the geometric structure of the mixed soil. In order to consider the dry bulk density of the mixed soil, it was possible to consider the dry bulk density of the mud by introducing the water content of the mud containing water. In addition, it was confirmed that the mud and sand movement calculation according to the slope collapse of the mixed soil was stably performed through the calculation of the slope collapse of the mixed soil through the numerical analysis model to which the proposed mixed soil model was applied.

A Study on the Appropriate Measurement of Space in Mixed-Use of School Facilities (학교시설 복합화 대상시설별 적정규모에 관한 연구)

  • Lee, Jae-Kook;Oh, Byeong-Uk
    • Journal of The Korean Digital Architecture Interior Association
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    • v.11 no.1
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    • pp.23-31
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    • 2011
  • In order to cope with the demands of the rapidly changing society, advanced countries enrolled in OECD have been establishing corresponding directions as integrating their fields in economy, society, and education as one system. To be a part of the international changes, Korea has presented "Mixed-Use of schools and community facilities." "Mixed-Use of schools and community facilities" enables schools to expand necessary facilities, which were not secured due to insufficient budget, through community funding. Communities could not secure enough convenient facilities because they did not have enough sites for the facilities; however, school sites have made the communities possible to have facilities. As a result, the demand for "Mixed-Use of schools and community facilities" has increased. Therefore, this study redefines the concept of the Mixed-Use of School Facilities in the perspective of the main users, researches the current state of the Mixed-Use of School Facilities through case studies in Korea, and intends to research preferences of the synthesis through surveys. In addition, the study proposes the proper size and the standard of the facilities that are possible to synthesize them with schools. In the future, in running this Mixed-Use of School Facilities business, the data from this study can be utilized.

The Effect of Composition of Flour Brew on Growth and Activity of Lactic Acid Bacteria (제빵에서 밀가루 Brew의 조성이 젖산균의 생육에 미치는 영향)

  • 조남지
    • The Korean Journal of Food And Nutrition
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    • v.11 no.6
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    • pp.683-688
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    • 1998
  • This study was conducted to develop optimal composition of flour brew in order to economically utilize flour brew inoculated by lactic acid bacteria as a starter(mother sponge) in bread-making. Two flour brews were prepared ; one with flour and water, the other with flour, water and NaCl. Various nutrients were added to both flour brews and Lactobacilli deMan Rogosa and Sharpe (MRS) broth to investigate the effect of them on growth and activities of Streptococcus thermophilus, Lactobacillus brevis and their mixed culture in flour brews to be tested with incubation at 37$^{\circ}C$. The growth of Streptococcus thermophilus, Lactobacillus brevis and their mixed culture was stimulated by addition of NaCl with 0.85% concentratin and more by mixed culture than by single lactic acid bacteria, resulting in 3 hrs reduction in cultivation and more by mixed culture than by single lactic acid bacteria, resulting in 3 hrs reduction in cultivation time. the addition of 3% glucose to flour brew with NaCl was observed to enhance acid productioni by mixed culture. Yeast extract greatly affected growth and activities of mixed culture of lactic acid bacteria in flour brew with NaCl and its optimum level of this additive in flour brew with NaCl was approximately 1.0%. The optimal composition of flour brew for mixed culture of lactic acid bacteria was suggested as follows; flour 100g, water 300g, NaCl 3.46g, glucose 12.48g, yeast extract 3.46g.

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A Study on Environmental Plan To Support Pedestrians in Public Space of Urban Mixed-use Commercial Facilities (도심 복합상업시설 공용공간의 보행자 지원적 환경계획에 관한 연구)

  • Ha, Mi-Kyoung;Kim, A-Hyun;Kim, Sook-Ha;Lee, Hyo-Chang
    • Korean Institute of Interior Design Journal
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    • v.23 no.3
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    • pp.181-192
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    • 2014
  • Recently, urban mixed-use commercial facilities have been required to raise a safe environment in public areas. So, this study focuses on analyze planning factors selected through the precedent research for Pedestrian safety and environment of urban mixed-use commercial facilities. The first purpose of this study is to analyse the applicative estimation of environmental plan to support pedestrians in public space of urban mixed-use commercial facilities in Seoul. And the second purpose of this study is to propose the directions of environmental planning for creating a pedestrian-friendly environment in public space of urban mixed-use commercial facilities. In order to accomplish this purpose, the environmental planning factors for supporting pedestrians and guidelines for disabled shown in the precedent studies are drawn. A survey of research subjects are 4 urban mixed-use commercial facilities located in downtown Seoul. And then a questionnaire survey is performed on architecture and interior design students to evaluate the importance. As a result of the study, the following conclusion are drawn. The pedestrian-friendly environment in urban mixed-use commercial facilities requires planning to strengthen accessibility, supporting and safety of public space.

Analysis of Competition Interaction in Orchardfrass , Red Clover Pure and Orchardfrass-Red Clover Mixed Swards (Orchargrass 단파 , Red Clover 단파 및 Orchargrass-Red Clove 단순혼파 목초의 경쟁구조 해석)

  • 이형석;이인덕
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.15 no.4
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    • pp.279-284
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    • 1995
  • The competition relationship between orchardgrass(Docflis glomerutu L. cv; Potomac) and red clover (Trifnlium prurense L. cv; Kenland) was investigated under the pure and mixed swards. Each species were grown in intra- and interspecific competition in pots and fields for 2-years. Intra- and interspecific competition were evaluated by calculating traditional methods; expected yield, relative yield total(RYT), aggressivity and compensation index(CI), and shoot and root dry matter production in the orchadgrass(ffi) pure, red clover(RC) pure and orchardgrdss(W)-red clover(RC) mixed sward. The results obtained were summarized as follows: Compared to OG and RC pure swards, the shoot and root dry maaer(DM) yield of OG-RC mixed sward were higher and more deeply rooted under the soil than those of OG and RC pure sward. Also, the number of tillen per plant of OG in the OG-RC mixed sward was less than that of OG pure sward, but that of RC in the OGRC mixed sward was more than that of RC pure sward. OG-RC mixed sward were evaluated as a productive sward type compared to OG and RC pure swards in that actual yield was higher than expect yield and that relative yield total(RYT), and compensation index(C1) were high. As mentioned above, compared to intraspecific competition as a OG and RC pure sward, interspecific competition as a OG-RC mixed sward was evaluated to productive type under the ffi and RC species utilization

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