• Title/Summary/Keyword: central extension

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3-HOM-LIE SUPERBIALGEBRAS AND 3-HOM-LIE CLASSICAL YANG-BAXTER EQUATIONS

  • Issam Bartouli;Imed Basdouri;Gaith Chaabane;Mohamed Fadous;Jean Lerbet
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.11-30
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    • 2024
  • 3-Lie algebras are in close relationships with many fields. In this paper we are concerned with the study of 3-Hom-Lie super algebras, the concepts of 3-Hom-Lie coalgebras and how they make a 3-Hom-Lie superbialgebras, we study the structures of such categories of algebras and the relationships between each others. We study a super twisted 3-ary version of the Yang-Baxter equation, called the super 3-Lie classical Hom-Yang-Baxter equation (3-Lie CHYBE), which is a general form of 3-Lie classical Yang-Baxter equation and prove that the superbialgebras induced by the solutions of the super 3-Lie CHYBE induce the coboundary local cocycle 3-Hom-Lie superbialgebras.

Adaptation to Motherhood in Central Asian-Korean Immigrants to Korea: A Grounded Theory Study (한국으로 이주한 고려인 여성의 모성 적응과정: 근거이론연구)

  • Kim, Su Hyun;Cho Chung, Hyang-In
    • Journal of Korean Academy of Nursing
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    • v.49 no.6
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    • pp.677-689
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    • 2019
  • Purpose: This qualitative study aimed to develop a substantive theory of the process of adaptation to motherhood in Central Asian-Korean immigrants to Korea. Methods: Individual, in-depth interviews were conducted from July to September 2017, with 18 women who emigrated of Korean ethnicity from Central Asia to Korea, and took care of their baby for at least a year after their first delivery in Korea. The interviews were audio-recorded and transcribed verbatim. Data from the transcriptions were analyzed through Strauss and Corbin's grounded theory method, and data analysis was conducted simultaneously with data collection. Results: As a result of categorizing the interview data through the process of open coding, 10 categories, with 31 subcategories and 102 concepts were drawn, and "growth as a Central Asian-Korean mother in an unfamiliar, historical hometown" was found to be the core category of the process of adaptation to motherhood in Central Asian-Korean immigrants to Korea. Conclusion: A characteristic of the process of adaptation to motherhood in Central Asian-Korean immigrants to Korea, drawn from this study, is that it differs according to the level of initiative to carry out interaction strategies, and the use of various supportive social resources. The findings indicate the need for Medicare eligibility adjustment for antenatal care, the extension of the visa renewal period during childbirth, the development of web- or mobile application-based educational programs in Russian language, and the establishment of integrated visiting healthcare services, community service resources, and policy support to enable these women to utilize various supportive social resources.

Safety and Prognostic Impact of Prophylactic Level VII Lymph Node Dissection for Papillary Thyroid Carcinoma

  • Fayek, Ihab Samy;Kamel, Ahmed Ahmed;Sidhom, Nevine FH
    • Asian Pacific Journal of Cancer Prevention
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    • v.16 no.18
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    • pp.8425-8430
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    • 2016
  • Purpose: To study the safety of prophylactic level VII nodal dissection regarding hypoparathyroidism (temporary and permanent) and vocal cord dysfunction (temporary and permanent) and its impact on disease free survival. Materials and Methods: This prospective study concerned 63 patients with papillary thyroid carcinoma with N0 neck node involvement (clinically and radiologically) in the period from December 2009 to May 2013. All patients underwent total thyroidectomy and prophylactic central neck dissection including levels VI and VII lymph nodes in group A (31 patients) and level VI only in group B (32 patients). The thyroid gland, level VI and level VII lymph nodes were each examined histopathologically separately for tumor size, multicentricity, bilaterality, extrathyroidal extension, number of dissected LNs and metastatic LNs. Follow-up of both groups, regarding hypoparathyroidism, vocal cord dysfunction and DFS, ranged from 6-61 months. Results: The mean age was 34.8 and 34.3, female predominance in both groups with F: M 24:7 and 27:5 in groups A and B, respectively. Mean tumor size was 12.6 and 14.7mm. No statistical differences were found between both groups regarding age, sex, bilaterality, multicentricity or extrathyroidal extension. The mean no. of dissected level VI LNs was 5.06 and 4.72 and mean no. of metastatic level VI was 1 and 0.84 in groups A and B, respectively. The mean no. of dissected level VII LNs was 2.16 and mean no. of metastatic LNs was 0.48. Postoperatively temporary hypoparathyroidism was detected in 10 and 7 patients and permanent hypoparathyroidism in 2 and 3 patients; temporary vocal cord dysfunction was detected in 4 patients and one patient, and permanent vocal cord dysfunction in one and 2 patients in groups A and B, respectively. No significant statistical differences were noted between the 2 groups regarding hypoparathyroidism (P=0.535) or vocal cord dysfunction (P=0.956). The number of dissected LNs at level VI only significantly affected the occurrence of hypoparathyroidism (<0.001) and vocal cord dysfunction (<0.001).The DFS was significantly affected by bilaterality, multicentricity and extrathyroidal extension. Conclusions: Level VII nodal dissection is a safe procedure complementary to level VI nodal dissection with prophylactic central neck dissection for papillary thyroid carcinoma.

Central and Peripheral Distribution of Bone Marrow on Bone Marrow Scintigraphy with Antigranulocytic Antibody in Hematologic Malignancy (혈액 종양 질환에서 항과립구항체 골수 스캔을 이용한 중심 골수와 말초 골수 분포의 분석)

  • Kang, Do-Young;Lee, Jae-Tae;Sohn, Sang-Kyun;Lee, Kyu-Bo
    • The Korean Journal of Nuclear Medicine
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    • v.36 no.5
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    • pp.298-305
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    • 2002
  • Purpose: Bone marrow scintigraphy has been used to evaluate the status of bone marrow in various hematologic disorders. We have analyzed the peripheral distribution pattern and central uptake ratio of bone marrow using anti-NCA-95 monoclonal antibody and the their correlation in patients with various hematologic malignancy. Materials and Methods: Bone marrow immunoscintigraphy was performed using Tc-99m anti-granulocyte monoclonal mouse antibody BW 250/183. Fifty patients were classified into four groups; 11 with acute myelogenous leukemia, 12 with acute lymphocytic leukemia, 15 with lymphoma and 12 with myelodysplastic syndrome. The extension of peripheral bone marrow was categorized into four grades: I, II, III and IV. The activity of central bene marrow was expressed as sacroiliac uptake ratio. Results: The patient's number was 4 in grade I, 27 in grade II, 15 in grade III and 4 in grade IV according to extension of peripheral bone marrow. The extension of peripheral bone marrow was marked (58% in grade III and IV) in myelodysplastic syndrome and acute lymphocytic leukemia and mild (93% in grade I and II) in lymphoma. Sacroiliac uptake ratio was highest ($8.5{\pm}4.0$) in myelodysplastic syndrome and lowest ($5.9{\pm}3.6$) in acute myelogenous leukemia, but not significantly different among four patient groups (p>0.05). Sacroiliac uptake ratio of whole patients was significantly different among four grades (p=0.003), but there was not correlated between grade of peripheral bone marrow and sacroiliac uptake ratio (r=0.05). Conclusion: The pattern of peripheral bone marrow extension and activity of central hemopoietic marrow were not specific to the disease entities. Response of hemopoietic bone marrow may be evaluated on both peripheral and central bone marrow in patients with hematologic malignancy.

NUMERICAL METHODS FOR RECONSTRUCTION OF THE SOURCE TERM OF HEAT EQUATIONS FROM THE FINAL OVERDETERMINATION

  • DENG, YOUJUN;FANG, XIAOPING;LI, JING
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1495-1515
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    • 2015
  • This paper deals with the numerical methods for the reconstruction of the source term in a linear parabolic equation from final overdetermination. We assume that the source term has the form f(x)h(t) and h(t) is given, which guarantees the uniqueness of the inverse problem of determining the source term f(x) from final overdetermination. We present the regularization methods for reconstruction of the source term in the whole real line and with Neumann boundary conditions. Moreover, we show the connection of the solutions between the problem with Neumann boundary conditions and the problem with no boundary conditions (on the whole real line) by using the extension method. Numerical experiments are done for the inverse problem with the boundary conditions.

Critical Stress for a Crack in Orthotropic Material under Biaxial Loading (2축하중을 받는 직교이방성재료 내 균열의 임계응력)

  • Lim, Won-Kyun;Cho, Hyoung-Seok
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.37-42
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    • 2003
  • The problem of an orthotropic material with a central crack is studied. The material is subjected to uniform biaxial loading along its boundary. The normal stress ratio theory is applied to predict fracture strength behavior in cracked orthotropic material. The dependence of the critical stress with respect to the biaxial loading and the crack orientation is discussed. Our analysis shows significant effects of biaxial loading on the critical stress. The additional tenn in the asymptotic expansion of the crack tip stress field appears to provide more accurate critical stress prediction.

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Integrated Management of the Pink Mealybug, Maconellicoccus hirsutus (Green) (Hemiptera : Pseudococcidae) Causing ′Tukra′in Mulberry

  • Katiyar, R.L.;Manjunath, D.;Kumar, Vineet;Datta, R.K.
    • International Journal of Industrial Entomology and Biomaterials
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    • v.3 no.2
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    • pp.117-120
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    • 2001
  • In India, mulberry (Morus spp.), the sole food plant of the silkworm, Bombyx mori (Linn.), is prone to infestation by the pink mealybug, Maconellicoccus hirsutus (Green). Infestation by this pest causes apical shoot malformation, popularly known as 'tukra'. Occurrence of tukra causes an appreciable reduction in leaf yield and quality, leading to low silkworm cocoon productivity. For management of M. hirsutus (Tukra), an IPM package comprising mechanical, chemical and biological measures was demonstrated in the mulberry gardens of five Government Silk Farms in Mysore District (Karnataka, India) during 1995-96. A suppression of 76.0% in tukra incidence and 90.19% in mealybug population was recorded by employ the IPM package which led to an estimated 4,000 kg recovery in leaf yield/ha/year. The impact of IPM package in the management of M. hirsutus, the role of biocontrol agent (Cryptolaemus montrouzieri Muls.) in pest suppression and the cost-benefit analysis of the IPM package are discussed.

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Togoperla thinhi, a new stonefly from central Vietnam (Plecoptera: Perlidae)

  • Cao, Thi Kim Thu;Bae, Yeon-Jae
    • Animal cells and systems
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    • v.14 no.3
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    • pp.221-224
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    • 2010
  • A new and rare perlid stonefly, Togoperla thinhi n. sp., is described from male and female adults and egg specimens from tropical central Vietnam. The male adult of T. thinhi n. sp. can be distinguished from other congeners by the distinct head markings, bilobed processes on the posterior margin of the abdominal tergum V, and S-shaped aedeagus. The female adult has a long and tongue-shaped subgenital plate on the abdominal sternum VIII, which extends to the posterior margin of the abdominal sternum IX. A male key to the Vietnamese species of Togoperla is provided. The finding of this new species provides evidence of an extension of the geographical distribution of Togoperla to tropical mainland Southeast Asia.

ON THE BOUNDS OF THE EIGENVALUES OF MATRIX POLYNOMIALS

  • Wali Mohammad Shah;Zahid Bashir Monga
    • Korean Journal of Mathematics
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    • v.31 no.2
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    • pp.145-152
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    • 2023
  • Let $P(z):=\sum\limits^{n}_{j=0}A_jz^j$, Aj ∈ ℂm×m, 0 ≤ j ≤ n be a matrix polynomial of degree n, such that An ≥ An-1 ≥ . . . ≥ A0 ≥ 0, An > 0. Then the eigenvalues of P(z) lie in the closed unit disk. This theorem proved by Dirr and Wimmer [IEEE Trans. Automat. Control 52(2007), 2151-2153] is infact a matrix extension of a famous and elegant result on the distribution of zeros of polynomials known as Eneström-Kakeya theorem. In this paper, we prove a more general result which inter alia includes the above result as a special case. We also prove an improvement of a result due to Lê, Du, Nguyên [Oper. Matrices, 13(2019), 937-954] besides a matrix extention of a result proved by Mohammad [Amer. Math. Monthly, vol.74, No.3, March 1967].

Risk Assessment for Abolition of Gross Containment Leak Monitoring System Test in CANDU Design Plant (중수로 원자로건물 총누설감시계통 시험 중지에 따른 리스크 영향 평가)

  • Bae, Yeon-Kyoung;Na, Jang-Hwan;Bahng, Ki-In
    • Journal of the Korean Society of Safety
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    • v.30 no.5
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    • pp.123-130
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    • 2015
  • Wolsong Unit 2,3&4 has been performing a containment integrity test during power operation. This test could impact to the safe operation during test. If an accident occurs during pressure dropping phase, reactor trip can be delayed because of the increased pressure difference which causes a time delay to reach the trip set-point. On the contrary, if an accident occurs during pressure increasing phase, reactor trip could be accelerated because the pressure difference to the trip set-point decrease. Point Lepreau nuclear power plant, which installed GCLMS (Gross Containment Leakage Monitoring System) in 1990, has discontinued the test since 1992 due to these adverse effects. Therefore, we evaluated the risk to obviate the GCLMS test based on PWR's ILRT (Integrated Leak Rate Test) extension methodologies. The results demonstrate that risk increase rate is not high in case of performing only ILRT test at every 5 years instead of doing GCLMS test at every 1.5 years. In addition, the result shows that GCLMS test can be removed on a risk-informed perspective since risk increasement is in acceptable area of regulatory acceptance criteria.