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RESTRICTION OF SCALARS AND CUBIC TWISTS OF ELLIPTIC CURVES

  • Byeon, Dongho;Jeong, Keunyoung;Kim, Nayoung
    • Journal of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.123-132
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    • 2021
  • Let K be a number field and L a finite abelian extension of K. Let E be an elliptic curve defined over K. The restriction of scalars ResKLE decomposes (up to isogeny) into abelian varieties over K $$Res^L_KE{\sim}{\bigoplus_{F{\in}S}}A_F,$$ where S is the set of cyclic extensions of K in L. It is known that if L is a quadratic extension, then AL is the quadratic twist of E. In this paper, we consider the case that K is a number field containing a primitive third root of unity, $L=K({\sqrt[3]{D}})$ is the cyclic cubic extension of K for some D ∈ K×/(K×)3, E = Ea : y2 = x3 + a is an elliptic curve with j-invariant 0 defined over K, and EaD : y2 = x3 + aD2 is the cubic twist of Ea. In this case, we prove AL is isogenous over K to $E_a^D{\times}E_a^{D^2}$ and a property of the Selmer rank of AL, which is a cubic analogue of a theorem of Mazur and Rubin on quadratic twists.

A Study on the Operation of Education Using Library Using Flip Learning Techniques: Focusing on ubiquitous E-learning that reflects gaming elements

  • KIM, KiTae;WOO, HoSung
    • Fourth Industrial Review
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    • v.2 no.2
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    • pp.1-9
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    • 2022
  • Purpose - The purpose is to present an efficient library-use education model in the form of flip learning, reflecting traditional teaching methods and gamification elements even in such non-face-to-face and face-to-face situations after COVID-19. Research design, data, and methodology - Research on library use education, research on ubiquitous environment and gamification instructional design, flip the learning, and gamification elements are classified, compared, and analyzed to present educational models for library education, COVID-19 Pandemic situation, and subsequent library use education. Result - We propose an e-learning content development strategy for flipped learning-based library education. First, benchmark and use the existing educational contents. Second, a user-friendly interface is configured so that learners can flexibly organize their learning contents. Third, it allows learners to experience it directly or indirectly in a virtual space. Conclusion - If the e-learning environment can be standardized to the level of schools or educational institutions, a good educational model that can be used not only in library user education but also in other fields will be possible.

A Deriving methodologies for OT&E items using WBS when acquiring a weapon system (무기체계 획득시 WBS를 활용한 운용시험평가 항목 도출방법 개발)

  • Jong Wan, Park;Hee Tae, Jeong
    • Journal of the Korean Society of Systems Engineering
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    • v.18 no.2
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    • pp.1-10
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    • 2022
  • In general, similar or previous projects are mainly referred to in order to derive operational test and evaluation(OT&E) items after acquiring weapon system. The idea that a more systematic method is needed is spreading because some of OT&E items derived in this process are redundant or unnecessary. Therefore, in this topic, we plan to use WBS, a tool that classifies components into a hierarchical structure and manages development easily to achieve the weapon system development goal. In addition, the WBS tool is applied to the medium-sized standard vehicle project, which is currently being research and developed, to effectively derive OT&E items. As a result of deriving OT&E items by applying WBS to the vehicle development field and electric devices of the medium-sized standard vehicle project, the operability and relationship were judged early, and then contents of the evaluation items could be written substantially while working on environmental adaptability. In the future, it is judged that the efficiency will be increased if the method discussed in this paper is applied when deriving the OT&E items from the R&D development project.

BEST CONSTANT IN ZYGMUND'S INEQUALITY AND RELATED ESTIMATES FOR ORTHOGONAL HARMONIC FUNCTIONS AND MARTINGALES

  • Osekowski, Adam
    • Journal of the Korean Mathematical Society
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    • v.49 no.3
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    • pp.659-670
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    • 2012
  • For any $K$ > $2/{\pi}$ we determine the optimal constant $L(K)$ for which the following holds. If $u$, $tilde{u}$ are conjugate harmonic functions on the unit disc with $\tilde{u}(0)=0$, then $$ {\int}_{-\pi}^{\pi}{\mid}\tilde{u}(e^{i\phi}){\mid}\frac{d{\phi}}{2{\pi}}{\leq}K{\int}_{-\pi}^{\pi}{\mid}u(e^{i{\phi}}){\mid}{\log}^+{\mid}u(e^{i{\phi}}){\mid}\frac{d{\phi}}{2{\pi}}+L(K).$$ We also establish a related estimate for orthogonal harmonic functions given on Euclidean domains as well as an extension concerning orthogonal martingales under differential subordination.

A NOTE ON INVARIANT PSEUDOHOLOMORPHIC CURVES

  • Cho, Yong-Seung;Joe, Do-Sang
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.347-355
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    • 2001
  • Let ($X, \omega$) be a closed symplectic 4-manifold. Let a finite cyclic group G act semifreely, holomorphically on X as isometries with fixed point set $\Sigma$(may be empty) which is a 2-dimension submanifold. Then there is a smooth structure on the quotient X'=X/G such that the projection $\pi$:X$\rightarrow$X' is a Lipschitz map. Let L$\rightarrow$X be the Spin$^c$ -structure on X pulled back from a Spin$^c$-structure L'$\rightarrow$X' and b_2^$+(X')>1. If the Seiberg-Witten invariant SW(L')$\neq$0 of L' is non-zero and $L=E\bigotimesK^-1\bigotimesE$ then there is a G-invariant pseudo-holomorphic curve u:$C\rightarrowX$,/TEX> such that the image u(C) represents the fundamental class of the Poincare dual $c_1$(E). This is an equivariant version of the Taubes' Theorem.

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Study on Relationship between constitution medicine and Prostaglandin E2 in Blood (사상인(四象人) 체질(體質)과 혈중(血中) Prostaglandin E2치(値)와의 관계(關係)에 관(關)한 연구(硏究))

  • Kim, Jong-Weon
    • Journal of Sasang Constitutional Medicine
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    • v.9 no.2
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    • pp.245-261
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    • 1997
  • The investigation were carried out the 37 patient with cerebrovascular accidents who had been treated in Oriental Medical Hospital in Kyung Hee University and in KangNam Uy Lim, and the 10 examinees who had been worked in Medical Hospital in Kyung Hee University. The consitution which had discriminated by survey, which had discriminated by study on the morphological diagrammings, which had discriminated by the result of the impatient of hospital on a dosage of constitutial prescription. The Prostaglandin E2 in blood for 47 persons (37 patients & 10 examinees) was measured. The following results were obtained. 1.In the constitution which had discriminated by survey, in the value of Prostaglandin E2 in bood of ammong four constitutiens didn,t showed significant differance. 2.In the constitution which had discriminated by study on the morphological diagrammings, in the value of Prostaglandin E2 in bood of ammong four constitutiens didn,t showed significant differance. 3.In the constitution which had discriminated by the result of patient of hospital on a dosage of constitutial prescription, the value of Prostaglandin E2 in blood of among four constitutions didn,nt showed signicant differance. 4.In the constitution which had discriminated by colligated three methods(survey, morphological diagrammings,the result of patient of hospital on a dosage of constitutial prescription), the value of Prostaglandin E2 in blood of ammong four constituion didn,t showed significant differnce. 5.In the constitution which had discriminated by survey, a test of significance between the value of Prostaglandin E2 in blood of each constitution and the value of Prostaglandin E2 in blood of the others was conducted. Only the value of Prostaglandin E2 in blood between in the TAE-EUM-IN(太陰人) and the others of female showed significant differance. 6.In the constitution which had discriminated by study on the morphological diagrammings,a test of significance between the value of Prostaglandin E2 in blood of each constitution and the value of Prostaglandin E2 in blood of the others was conducted. Only the value of Prostaglandin E2 in blood between in the SO-EUM-IN(少陰人) and the others of male showed significant differance. 7.In the constitution whichhad discriminated by the result of patient of hospital on a dosage of constitutial prescription,a test of significance between the value of Prostaglandin E2 in blood of each constitution and the value of Prostaglandin E2 in blood of the others was conducted. Only the value of Prostaglandin E2 in blood between in the TAE-EUM-IN(太陰人) and the others of male showed significant differance. 8.In the constitution which had discriminated was the colligated three methods(survey,morphological diagrammings,the result of patient of hospital on a dosage of constitutial prescription),a test of significance between the value of Prostaglandin E2 in blood of each constitution and the value of Prostaglandin E2 in blood of the others didn,t showed significant differnce. In this connected study is inadequete at present. But if the study is done persistently,the analysis of various ingredient in the body enables objectification in differentiation of four types of physical constitution as the supplemental method.

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An Interferon Resistance Induced by the Interaction between HCV NS5B and Host p48 (C형 간염 바이러스 NS5B 단백질과 숙주의 p48 단백질의 상호작용에 의한 인터페론 저항성의 유도)

  • Park, So-Yeon;Lee, Jong-Ho;Myung, Hee-Joon
    • Microbiology and Biotechnology Letters
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    • v.36 no.4
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    • pp.353-359
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    • 2008
  • Hepatitis C virus (HCV) is known as the causative agent of blood transmitted hepatitis. Two viral proteins, E2 and NS5A, are known to exert interferon resistance of HCV via PKR pathway. Here, we report a third protein, the RNA-dependent RNA polymerase (NS5B) of HCV, induced interferon resistance inhibiting p56 pathway. p56 was shown to interact with p48 subunit of eukaryotic initiation factor 3 (eIF3). This interaction inhibited formation of ternary complex in translation initiation. Using dual reporter assay system, we observed that the translation decreased when interferon alpha was added to the culture. But, in the presence of HCV NS5B, the translation partly recovered. NS5B and p48 subunit of eIF3 were shown to interact. This interaction seems to inhibit the interaction between p48 and p56. This is the first report that a virus exerts interferon resistance via p56 pathway.

Salubrinal Alleviates Pressure Overload-Induced Cardiac Hypertrophy by Inhibiting Endoplasmic Reticulum Stress Pathway

  • Rani, Shilpa;Sreenivasaiah, Pradeep Kumar;Cho, Chunghee;Kim, Do Han
    • Molecules and Cells
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    • v.40 no.1
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    • pp.66-72
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    • 2017
  • Pathological hypertrophy of the heart is closely associated with endoplasmic reticulum stress (ERS), leading to maladaptations such as myocardial fibrosis, induction of apoptosis, and cardiac dysfunctions. Salubrinal is a known selective inhibitor of protein phosphatase 1 (PP1) complex involving dephosphorylation of phospho-eukaryotic translation initiation factor 2 subunit $(p-eIF2)-{\alpha}$, the key signaling process in the ERS pathway. In this study, the effects of salubrinal were examined on cardiac hypertrophy using the mouse model of transverse aortic constriction (TAC) and cell model of neonatal rat ventricular myocytes (NRVMs). Treatment of TAC-induced mice with salubrinal ($0.5mg{\cdot}kg^{-1}{\cdot}day^{-1}$) alleviated cardiac hypertrophy and tissue fibrosis. Salubrinal also alleviated hypertrophic growth in endothelin 1 (ET1)-treated NRVMs. Therefore, the present results suggest that salubrinal may be a potentially efficacious drug for treating pathological cardiac remodeling.

A Study on the Status of e-Books Usage in Small University Library: Focusing on the D University Library (소규모 대학도서관의 전자책 이용실태에 관한 연구 - D대학교도서관을 중심으로 -)

  • Kim, Jin Young;Han, Sang Woo
    • Journal of Korean Library and Information Science Society
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    • v.52 no.2
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    • pp.429-445
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    • 2021
  • The purpose of this study is to analyze the status of e-books usage in small university library and to suggest implications for e-book management policies. To do that, a survey was conducted with students in a local small university, and the valid responses of 259 people were analyzed. As a result of the analysis, the preference of paper books (71%) was higher than that of e-books (12%). However, satisfaction with e-books (45.6%) was higher than that of paper books (27.9%) if they had experience using e-books. In addition, satisfaction was highest when using e-books for general reading, and it was found that the use device preferred to use a tablet. Based on the results of this study, we proposed some suggestions; 1) establishment of e-books service policy and promotion plan, 2) use of e-books dedicated devices and development of user-friendly e-books using environment, 3) providing various topics of e-books, 4) formation of an association for joint use of e-books between small library universities.

A RECENT GENERALIZATION OF COFINITELY INJECTIVE MODULES

  • Esra OZTURK SOZEN
    • Honam Mathematical Journal
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    • v.45 no.3
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    • pp.397-409
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    • 2023
  • Let R be an associative ring with identity and M be a left R-module. In this paper, we define modules that have the property (δ-CE) ((δ-CEE)), these are modules that have a δ-supplement (ample δ-supplements) in every cofinite extension which are generalized version of modules that have the properties (CE) and (CEE) introduced in [6] and so a generalization of Zöschinger's modules with the properties (E) and (EE) given in [23]. We investigate various properties of these modules along with examples. In particular we prove these: (1) a module M has the property (δ-CEE) if and only if every submodule of M has the property (δ-CE); (2) direct summands of a module that has the property (δ-CE) also have the property (δ-CE); (3) each factor module of a module that has the property (δ-CE) also has the property (δ-CE) under a special condition; (4) every module with composition series has the property (δ-CE); (5) over a δ-V -ring a module M has the property (δ-CE) if and only if M is cofinitely injective; (6) a ring R is δ-semiperfect if and only if every left R-module has the property (δ-CE).