• Title/Summary/Keyword: P'-spaces

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CRITICAL VIRTUAL MANIFOLDS AND PERVERSE SHEAVES

  • Kiem, Young-Hoon;Li, Jun
    • Journal of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.623-669
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    • 2018
  • In Donaldson-Thomas theory, moduli spaces are locally the critical locus of a holomorphic function defined on a complex manifold. In this paper, we develop a theory of critical virtual manifolds which are the gluing of critical loci of holomorphic functions. We show that a critical virtual manifold X admits a natural semi-perfect obstruction theory and a virtual fundamental class $[X]^{vir}$ whose degree $DT(X)=deg[X]^{vir}$ is the Euler characteristic ${\chi}_{\nu}$(X) weighted by the Behrend function ${\nu}$. We prove that when the critical virtual manifold is orientable, the local perverse sheaves of vanishing cycles glue to a perverse sheaf P whose hypercohomology has Euler characteristic equal to the Donaldson-Thomas type invariant DT(X). In the companion paper, we proved that a moduli space X of simple sheaves on a Calabi-Yau 3-fold Y is a critical virtual manifold whose perverse sheaf categorifies the Donaldson-Thomas invariant of Y and also gives us a mathematical theory of Gopakumar-Vafa invariants.

A Study on the Factors Affecting Variations of Kitchen Spaces in Mountain-areas. (산간지대 농가의 부엌공간 변화요인에 관한 연구)

  • OkSoonRyou
    • Journal of the Korean housing association
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    • v.3 no.2
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    • pp.51-61
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    • 1992
  • The aims of this study are to imvestigate the changes seen in rural kitchens and the factors affecting the modernization of agrarian kitchen space in mountain areas, and to compare them with those in the plains. The major findings are as follows. 1) The kitchen space in mountain areas remained in the state of a combined style(depicting both western and traditional styles), while the kitchen space in the plains after the 1980s showed a tendency toward the western style. Generally speaking, the physical state of kitchens in mountain farmhouses, therefore, was at a low level in comparison with that of the plains. 2) The kitchen improvement projects of Sae-Ma-Eul Movement fostered a trend toward the western and combined style kitchens in the plains, but it did exert a little influence only on a part of the four mountain areas, and it resu]led in a combination of both styles. 3) Among the socio-demographic characteristics under consideratien. only the level of education achieved by the wi fe was found to be a determinant factor of the kitchen type in the mountain areas. but the level of education achieved by the husband and the family life cycle were two determinant factors in the plains. Under the category of family life style. the factors affecting the kitchen type in the mountain areas were cooking-heating fuel and the position of the refrigerator, while the main factors in p]ains were the place and the method of eating. cooking-heating fuel, the position of refrigerator, and numbers of family-memorials.

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Ankylosing Spondylitis Associated with Bilateral TMJ Ankylosis (강직성 척추염에 수반된 양측성 측두하악관절 강직)

  • Song Ju-Seop;Koh Kwang-Joon
    • Imaging Science in Dentistry
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    • v.30 no.3
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    • pp.217-222
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    • 2000
  • A 31-year-old male with the complaint of severe limitation of mouth opening was referred to our department of Chonbuk National University Hospital. The physical status of the patient was hyposthenic. Extraoral examination showed no condylar movement of the both temporomandibular joints, no pain, no facial swelling or paresthesia. Intraoral examination showed several cervical caries on the upper anterior teeth, and gingival swelling on the whole dentition. Transcranial view showed no condylar movement, and narrowing of joint spaces. Chest P-A view showed straightening of thoracic, lumbar spine, and squaring of vertebrae of the same spines. Conventional lateral radiograph of cervical spine showed calcification of the intervertebral ligament. Computed tomograph showed extensive bone formation between temporal bone and the condylar head at both sides. Laboratory findings showed positive reaction on HLA-B27 histocompatibility antigen and increased level of IgA, IgG, ESR. Based on the clinical, radiographic, and the laboratary findings, final diagnosis was made as bony ankylosis of the both temporomandibular joints secondary to ankylosing spondylitis.

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Methods for Introduction of the Atmospheric Nitrogen Fixing Ability to Plants

  • PreiningerE;BokaK;ZatykoJ;KoranyiP;GyurjanI
    • Journal of Plant Biotechnology
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    • v.1 no.1
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    • pp.31-38
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    • 1999
  • An artificial symbiosis was established between diazotropic Azomonas insignis and strawberry (Fragaria x ananassa). The partnership was created by in vitro techniques through callus induction and organogenesis. The basis of this partnerships is the bacterial dependence on the plants metabolic activity, using maltose in the medium as a carbon and energy source which can be utilized by the plant cells only. The presence of bacteria in the intercellular spaces of the callus tissues and regenerated plants was proven by microscopic techniques. Nitrogenase activity could also be detected in the plant tissues. For successful and high frequency introduction of bacteria to the plant tissues, biolistic gun method was used. On the basis of the DNA transfer method, Azotobacter vinelandii bacteria were delivered directly into strawberry tissues by the particle bombardment. This was the first use of living bacteria as microprojectils for bombardment of plant tissues. The treatment was successful, the presence of bacteria in the developing callus tissue and regenerated plants were detected by light and electron microscopy.

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Indoor and Outdoor $NO_2$ Concentration at Subway Station and Personal $NO_2$ Exposure of Subway Station Workers (지하철역사의 이산화질소 농도와 역무원의 이산화질소 개인폭로량)

  • 손부순;장봉기;박종안;김윤신
    • Journal of environmental and Sanitary engineering
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    • v.15 no.4
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    • pp.134-141
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    • 2000
  • The person' spending time in underground s[aces within indoor environment show a tendency to increase every year, but in Korea, levels and sources of pollutant in underground spaces have not been well-characterized. Therefore, as part or a larger indoor environmental study, conducted at subway station in Seoul, nitrogen dioxide was measured using passive samplers in 16 subway stations, 2 tunnels and 70 workers of subway station. The mean concentrations of nitrogen dioxide in subway stations were $27.87{\pm}7.15$ ppb at station office, $35.76{\pm}8.35$ ppb at platform, $52.60{\pm}13.04$ ppb at outdoor, respectively, and the Indoor/Outdoor ratio were 0.49~0.93. The mean concentrations of nitrogen dioxide in tunnels were $44.91{\pm}4.67$ ppb in Chunggye-Nowon tunnel with a single track, $42.55{\pm}3.33$ ppb in Mokkol-Taenung tunnel with double track, respectively, and as a result of t-test, a single track levels were higher than double track levels(p<0.05). The mean personal exposure of the subject of station workers was $29.40{\pm}9.75$ ppb.

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MYLLER CONFIGURATIONS IN FINSLER SPACES. APPLICATIONS TO THE STUDY OF SUBSPACES AND OF TORSE FORMING VECTOR FIELDS

  • Constantinescu, Oana
    • Journal of the Korean Mathematical Society
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    • v.45 no.5
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    • pp.1443-1482
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    • 2008
  • In this paper we define a Myller configuration in a Finsler space and use some special configurations to obtain results about Finsler subspaces. Let $F^{n}$ = (M,F) be a Finsler space, with M a real, differentiable manifold of dimension n. Using the pull back bundle $({\pi}^{*}TM,\tilde{\pi},\widetilde{TM})$ of the tangent bundle $(TM,{\pi},M)$ by the mapping $\tilde{\pi}={\pi}/TM$ and the Cartan Finsler connection of a Finsler space, we obtain an orthonormal frame of sections of ${\pi}^{*}TM$ along a regular curve in $\widetilde{TM}$ and a system of invariants, geometrically associated to the Myller configuration. The fundamental equations are written in a very simple form and we prove a fundamental theorem. Important lines in a Finsler subspace are defined like special lines in a Myller configuration, geometrically associated to the subspace: auto parallels, lines of curvature, asymptotes. Torse forming vector fields with respect to the Cartan Finsler connection are characterized by means of the invariants of the Frenet frame of a versor field along a curve, and the new notion of torse forming vector fields in the sense of Myller is introduced. The particular cases of concurrence and parallelism in the sense of Myller are completely studied, for vector fields from the distribution $T^m$ of the Myller configuration and also from the normal distribution $T^p$.

Bacterial Multiplications and Electrophoretic Patterns of Soluble Proteins in Compatible and Incompatible Interactions of Pepper Leaves with Xanthomonas campestirs pv. vesicatoria (Xanthomonas campestris pv. vesicatoria에 감염된 고추잎의 친화적, 불친화적 반응에서 세균증식과 수용성 단백질의 전기영동 패턴)

  • 이연경;김영진;황병국
    • Korean Journal Plant Pathology
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    • v.10 no.4
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    • pp.305-313
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    • 1994
  • Typically susceptible lesions were developed on pepper (cv. Hanbyul) leaves inoculated with the compatible strains Ds 1 of Xanthomonas campestris pv. vesicatoria. The lesions appeared first water-soaked and then turned yellow with a chlorotic area. In contrast, the leaves inoculated with the incompatible strain 81-23 initially turned yellow and then developed local necrosis. Multiplication of x. c. pv. vesicatoria in pepper leaves also were distinctly different between the two strains. The strain Ds 1 multiplied more greatly than did the strain 81-23 in the infected leaves. X. c. pv. vesicatoria infection of pepper leaves induced the synthesis of soluble proteins, especially more greatly in the compatible than in the incompatible interactions. Some pathogenesis-related (PR) proteins were detected in the intercellular washing fluid (IWF) and extracts of the infected pepper leaves. In particular, the 32 kDa protein on SDS-PAGE gels appeared intensely in the incompatible interaction. In contrast, some proteins with moluecular masses of 65, 71, and 75 kDa disappeared in the infected pepper leaves. Isoelectric focusing could identify the pIs of soluble proteins in infected pepper leaves. The accumulation of the IWF from infected leaves was more conspicuous in the incompatible than the compatible interaction. These results suggest that some extremely acidic and basic proteins were induced and accumulated in the intercellular spaces of infected pepper leaves.

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THE HARMONIC ANALYSIS ASSOCIATED TO THE HECKMAN-OPDAM'S THEORY AND ITS APPLICATION TO A ROOT SYSTEM OF TYPE BCd

  • Trimeche, Khalifa
    • Korean Journal of Mathematics
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    • v.27 no.1
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    • pp.221-267
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    • 2019
  • In the five first sections of this paper we define and study the hypergeometric transmutation operators $V^W_k$ and $^tV^W_k$ called also the trigonometric Dunkl intertwining operator and its dual corresponding to the Heckman-Opdam's theory on ${\mathbb{R}}^d$. By using these operators we define the hypergeometric translation operator ${\mathcal{T}}^W_x$, $x{\in}{\mathbb{R}}^d$, and its dual $^t{\mathcal{T}}^W_x$, $x{\in}{\mathbb{R}}^d$, we express them in terms of the hypergeometric Fourier transform ${\mathcal{H}}^W$, we give their properties and we deduce simple proofs of the Plancherel formula and the Plancherel theorem for the transform ${\mathcal{H}}^W$. We study also the hypergeometric convolution product on W-invariant $L^p_{\mathcal{A}k}$-spaces, and we obtain some interesting results. In the sixth section we consider a some root system of type $BC_d$ (see [17]) of whom the corresponding hypergeometric translation operator is a positive integral operator. By using this positivity we improve the results of the previous sections and we prove others more general results.

Effects of Participatory Design on the Development of Space Concept in Young Children

  • Kang, Tae-Sun;Cho, Sung-Min
    • International Journal of Advanced Culture Technology
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    • v.9 no.2
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    • pp.64-71
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    • 2021
  • The purpose of this study is to analyze the impact of participatory design workshops conducted to design forest play spaces that reflect young children's needs and demands on the development of spatial concepts in young children. As a research method for this purpose, we used the participatory design workshop (6 times) and Landscape Montage Techniques (LMT). We conducted this study at the "Songsan-mulbit Forest Experience Center for children (FECC)" located in Gwangsan-gu, Gwangju Metropolitan City, from the second week of May to third week of June 2018 for preschoolers in K-kindergarten (six and seven-year-old integrated classes; 41 preschoolers in total). We conducted the LMT evaluation on the same preschoolers before and after the workshop, and the drawings of 39 preschoolers drawn for LMT evaluation before and after the workshop were subject to the final evaluation. As a result of the study, the cognitive levels for the spatial concept after the workshop are higher than those for the spatial concept before the workshop, especially showed the result of comparing the LMT values of 6 age and 7 age, there were significant differences on pre and post workshop in p<0.01.

The characteristics of democratization of fashion and fashionocracy in the global fashion industry (글로벌 패션산업에 나타난 패션 민주화의 특성과 패션 민주주의)

  • Suk, Hyojung
    • The Research Journal of the Costume Culture
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    • v.29 no.4
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    • pp.488-504
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    • 2021
  • This article examined the historical evolution of changes in the democratization of fashion, identified its characteristics, and defined 'fashionocracy - fashion democracy'- by analyzing various phenomena in the global fashion industry. This research will expand the field of fashion research and spark academic debates about fashion democracy. The democratization of fashion can be summarized in five periods; birth, introduction, early growth, growth, and maturity. The characteristics of the democratization of fashion include individual autonomy, accessibility that many people can access and enjoy, and diversity. According to the principles of democracy- "of the people, for the people, by the people" - which are based on freedom and equality, we have achieved fashion of the people and for the people so far. Furthermore, social media has shifted the balance of power to influencers and bloggers; as such, the masses who have consumed and enjoyed fashion democratization are becoming producers and promoters by actively participating in the process of making fashion, creating a new era of fashion democracy (fashionocracy): - by the people. Ultimately, fashionocracy consists of the '6P's' ; people (active and productive consumers), planet (society and environmental sustainability), products (genderless, ageless, inclusive), price (reasonable), place (multi-channel distribution, virtual spaces), and promotion (horizontal).