• Title/Summary/Keyword: extreme volume form

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GENERALIZED MYERS THEOREM FOR FINSLER MANIFOLDS WITH INTEGRAL RICCI CURVATURE BOUND

  • Wu, Bing-Ye
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.841-852
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    • 2019
  • We establish the generalized Myers theorem for Finsler manifolds under integral Ricci curvature bound. More precisely, we show that the forward complete Finsler n-manifold whose part of Ricci curvature less than a positive constant is small in $L^p$-norm (for p > n/2) have bounded diameter and finite fundamental group.

COMPARISON THEOREMS IN RIEMANN-FINSLER GEOMETRY WITH LINE RADIAL INTEGRAL CURVATURE BOUNDS AND RELATED RESULTS

  • Wu, Bing-Ye
    • Journal of the Korean Mathematical Society
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    • v.56 no.2
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    • pp.421-437
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    • 2019
  • We establish some Hessian comparison theorems and volume comparison theorems for Riemann-Finsler manifolds under various line radial integral curvature bounds. As their applications, we obtain some results on first eigenvalue, Gromov pre-compactness and generalized Myers theorem for Riemann-Finsler manifolds under suitable line radial integral curvature bounds. Our results are new even in the Riemannian case.

Propagation Analysis of Dam Break Wave using Approximate Riemann solver (Riemann 해법을 이용한 댐 붕괴파의 전파 해석)

  • Kim, Byung Hyun;Han, Kun Yeon;Ahn, Ki Hong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.5B
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    • pp.429-439
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    • 2009
  • When Catastrophic extreme flood occurs due to dam break, the response time for flood warning is much shorter than for natural floods. Numerical models can be powerful tools to predict behaviors in flood wave propagation and to provide the information about the flooded area, wave front arrival time and water depth and so on. But flood wave propagation due to dam break can be a process of difficult mathematical characterization since the flood wave includes discontinuous flow and dry bed propagation. Nevertheless, a lot of numerical models using finite volume method have been recently developed to simulate flood inundation due to dam break. As Finite volume methods are based on the integral form of the conservation equations, finite volume model can easily capture discontinuous flows and shock wave. In this study the numerical model using Riemann approximate solvers and finite volume method applied to the conservative form for two-dimensional shallow water equation was developed. The MUSCL scheme with surface gradient method for reconstruction of conservation variables in continuity and momentum equations is used in the predictor-corrector procedure and the scheme is second order accurate both in space and time. The developed finite volume model is applied to 2D partial dam break flows and dam break flows with triangular bump and validated by comparing numerical solution with laboratory measurements data and other researcher's data.

The Comparison of Characteristics of Korean, Chinese and Japanese Traditional Flower Arts Used in Royal Court Ceremonies (한국과 중국 및 일본의 궁중 전통 꽃꽂이 특징비교)

  • Hong, Hoon Ki;Lee, Jong Suk
    • FLOWER RESEARCH JOURNAL
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    • v.18 no.2
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    • pp.125-135
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    • 2010
  • To discover the main characteristics of Korean traditional flower arrangement, they were compared with different articles and old paintings used in royal court ceremonies. The primary research involved principle of design. The times periods used were the Joseon Dynasty era of Korea, the Ming era of China, and the Edo eras of Japan. The result, which shows both the similarities and differences, of the research is summarized as follows. The similarities were that they all respect the features of nature, and their image expresses their creator's thinking. There was one technique, called 'Suje', in which a part of the stem is coming out from one branch. Also, each three eras preferred flowering trees and ornamental trees more than annuals or foliage plants. one of the differences was that korea used a simple number of materials. The work had volume and appeared mild by using a soft curved line which was repetitive and massive. The Joseon Dynasty era advanced a sense of beauty with artistic symmetry and balance. The work seemed soft and natural because of the little change in blank space, with almost no angle of line. The form had a characteristic preference of being taller than the typical Japanese arrangement. It appeared simple, calm, and rustic by using only one kind of material. In contrast, the Chinese style was gorgeous and displayed volume in a non-symmetrical tripodal form, which incorporated various colors and materials. Also, they avoided processing the materials in order to emphasize the original beauty of nature. Chinese flower arts did not become formalized because they did not consider the formality seriously the formal. The Japanese style was also gorgeous because it incorporated various materials and angles. It included an extreme technique in which an artificial line divided the blank space delicately. The line was both strong and delicate in an established form. The restriction of the main branch gave a light feeling, as well as more strain as in a balance sense. The Japanese eras emphasized more the use of line and a sense of blank space.

Factors for Survival and Complications of Malignant Bone Tumor Patients with a Total Femoral Replacement (대퇴골 전치환술 받은 악성 골종양 환자의 생존인자와 합병증)

  • Cho, Wan Hyeong;Jeon, Dae-Geun;Song, Won Seok;Park, Hwan Seong;Nam, Hee Seung;Kim, Kyung Hoon
    • Journal of the Korean Orthopaedic Association
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    • v.55 no.3
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    • pp.244-252
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    • 2020
  • Purpose: Total femoral replacement (TFR) is an extreme form of limb salvage. Considering the rarity of this procedure, reports have focused on the complications and a proper indication is unclear. This study analyzed 36 patients with TFR who were asked the following: 1) prognostic factors related to survival in patients who underwent TFR with a tumoral cause; 2) overall implant and limb survival; 3) complications, functional outcome, and limb status for patients surviving for more than 3 years. Materials and Methods: According to the causes for TFR, 36 patients were categorized into three groups: extensive primary tumoral involvement (group 1, 15 cases), tumoral contamination by an inadvertent procedure or local recurrence (group 2, 16 cases), and salvage of a failed reconstruction (group 3, 5 cases). The factors that may affect the survival of patients included age, sex, cause of TFR, and tumor volume change after chemotherapy. Results: The overall five-year survival of the 36 patients was 31.5%±16.2%. The five-year survival of 31 patients with tumoral causes was 21.1%±15.6%. The five-year survival of 50.0%±31.0% in patients with a decreased tumor volume after chemotherapy was higher than that of increased tumor volume (p=0.02). The five-year survival of 12 cases with a wide margin was 41.7%±27.9%, whereas that of the marginal margin was 0.0%±0.0% (p=0.03). The ten-year overall implant survival of 36 patients was 85.9%±14.1%. The five-year revision-free survival was 16.6%±18.2%. At the final follow-up, 12 maintained tumor prosthesis, three underwent amputation (rotationplasty, 2; above knee amputation, 1), and the remaining one had knee fusion. Among 16 patients with a follow-up of more than three years, 14 patients underwent surgical intervention and two patients had conservative management. Complications included infection in 10 cases, local recurrences in two cases, and one case each of hip dislocation, bushing fracture, and femoral artery occlusion. Conclusion: Patients showing an increased tumor volume after chemotherapy and having an inadequate surgical margin showed a high chance of early death. In the long-term follow-up, TFR showed a high infection rate and the functional outcome was unsatisfactory. Nevertheless, this procedure is an inevitable option of limb preservation in selected patients.

Belle Epoque and Dadaism in the Modern Culture (벨 에포크와 다다이즘 - 근대문화의 총체와 해체)

  • Lee, Byung Soo
    • Cross-Cultural Studies
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    • v.33
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    • pp.171-192
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    • 2013
  • The article is a research about the Belle Epoque era and Dadaism in the modern culture as a whole and separate. The years from 1890s to 1914, is known as the Belle Epoque era, in which the European continent including France had developed the climax of the modern culture after the Renaissance. At the same time, it was the period where the postmodern developments were being spread, leading to the present days. Moreover, the main ideologies in art that led to the cultural advancement of the time were impressionism, cubism, art nouveau, evolutionized painting category, symbolism and futurism. It was a literature category that was maintained to present Dadaism and surrealism. Dadaism began since the magazine, Bulletin Dada was published, originating in 1916 by Tristan Tzara of Zurich, Switzerland during the WWI. The extreme motto that the Dadaists supported was a contradiction, as they had to dissolve from their own art movements and expression techniques. However, until Andre Breton introduced 'Manifeste du Surrealisme' in 1924, the "Dada group" had a tremendous influence in France as an epicenter and rejected the modern cause and art that continued during the time, thus attempting its dissolution. First, they rejected the ideology, ethics and customs of rationalism from the previous system and demonstrate an anarchical and anti-bourgeoisie characteristic. They also reject the French lucid thoughts and the artistic techniques. They strongly emphasized on their motto "The idea is created from the mouth", while reframing from the philosophical ideology and at the same time, attempting to express the psychical unconsciousness. Second, the most important catchphrase that the Dadaists supported was the theory of negation. The question "Why do you write?" connotes the negative consciousness about the artistic value and the stereotyped method of the preexisting writing and drawing. Third, the Dadaists bring forward a radical query about all of the former esthetic and morals, and reveal an admirable resistance spirit. They emphasized on the slogan "Dada, means nothing" and insist on 'the anti-literal Dada, anti-artistic Dada, anti-musical Dada'. The Dadaist movement manifested their resistant spirit and the new artistic spirit through the publication of , , and most importantly through the magazine . Fourth, the Dadaists embodied the volume, density, and quality into an image through the auto-technical, cubistic writings and drawings. They ignored the fixed form of arrangements, verses, and rhymes of a poetic diction. The Dadaists utilized an unfamiliar and inversed expression method of applying the combination of the size of print, or capital letters and lowercase letters, even combining printed and handwritten writings. As presented, the auto-technical and cubistic characteristic of expressing the auto-psychical ideology into writing is called as the radical aesthetic and moral and can be considered as the most essential cause of the Dadaists' avant-garde features. As a conclusion, Dadaism demonstrated dual characteristics of consuming the nutritive elements of the modern culture through the most powerful resistance and liberation of the artistic movement of the Belle Epoque era, where at the same time, it deconstructed the modern art. By revolting against the former grounds and expression techniques, and dominating the era with the new artistic spirit, their resistant actions were artistic movements that symbolized the dissolution of the modern times. Moreover, the Dada's expressionism and resistance of saying "There's nothing" can be evaluated as postmodernity's initiative of outweighing the modern history and opening the door for new period of nowadays.