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GORENSTEIN SEQUENCES OF HIGH SOCLE DEGREES

  • Park, Jung Pil;Shin, Yong-Su
    • Journal of the Korean Mathematical Society
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    • v.59 no.1
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    • pp.71-85
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    • 2022
  • In [4], the authors showed that if an h-vector (h0, h1, …, he) with h1 = 4e - 4 and hi ≤ h1 is a Gorenstein sequence, then h1 = hi for every 1 ≤ i ≤ e - 1 and e ≥ 6. In this paper, we show that if an h-vector (h0, h1, …, he) with h1 = 4e - 4, h2 = 4e - 3, and hi ≤ h2 is a Gorenstein sequence, then h2 = hi for every 2 ≤ i ≤ e - 2 and e ≥ 7. We also propose an open question that if an h-vector (h0, h1, …, he) with h1 = 4e - 4, 4e - 3 < h2 ≤ (h1)(1)|+1+1, and h2 ≤ hi is a Gorenstein sequence, then h2 = hi for every 2 ≤ i ≤ e - 2 and e ≥ 6.

The Effects of Rhus Extracts on The Cytotoxicity on Cancer Cells and E6 and E7 Oncogenes of Human Papillomavirus Type 16 (옻 추출물의 세포독성 및 자궁 경부암 바이러스 암 유발인자 E6 와 E7의 작용에 미치는 효과)

  • Cho, Young-Sik;Joung, Ok;Cho, Cheong-Weon;Lee, Kyung-Ae;Shim, Jung-Hyun;Kim, Kwang-Soo;Lee, Hong-Soo;Seung, Ki-Seung;Yoon, Do-Young
    • Korean Journal of Food Science and Technology
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    • v.32 no.6
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    • pp.1389-1395
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    • 2000
  • Cervical cancer has been one of the leading causes of female death from cancer worldwide with about 500,000 deaths per year. A strong association between certain human papillomaviruses (HPV types 16 and 18) and cervical cancer has been well known. An extract of natural products, Rhus, has been used to investigate whether this agent has the ability of inhibiting the oncogenes E6 and E7 of HPV type 16. This Rhus inhibited the proliferation of human cervical cancer cell lines (C-33A, SiHa, Caski) and HaCaT keratinocytes in a dose response manner. In vitro binding assay and ELISA showed that Rhus inhibited the in vitro binding of E6 and E6AP which are essential for the binding and degradation of the tumor suppressor p53. In addition, Rhus inhibited the in vitro binding of E7 and Rb which essential tumor suppressor for the control of cell cycle. The level of mRNA for E6 was also decreased by Rhus while that of E7 mRNA was not changed. Our data suggested that Rhus inhibited the oncogenecity of E6 and E7 of HPV 16 type, thus can be used as a putative anti-HPV agent for the treatment of cervical carcinomas by HPV.

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Interaction of Escherichia coli K1 and K5 with Acanthamoeba casfellanii Trophozoites and Cysts

  • Matin, Abdul;Jung, Suk-Yul
    • Parasites, Hosts and Diseases
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    • v.49 no.4
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    • pp.349-356
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    • 2011
  • The existence of symbiotic relationships between Acanthamoeba and a variety of bacteria is well-documented. However, the ability of Acanthamoeba interacting with host bacterial pathogens has gained particular attention. Here, to understand the interactions of Escherichia coli K1 and E. coli K5 strains with Acanthamoeba castellanii trophozoites and cysts, association assay, invasion assay, survival assay, and the measurement of bacterial numbers from cysts were performed, and nonpathogenic E. coli K12 was also applied. The association ratio of E. coli K1 with A. castellanii was 4.3 cfu per amoeba for 1 hr but E. coli K5 with A. castellanii was 1 cfu per amoeba for 1 hr. By invasion and survival assays, E. coli K5 was recovered less than E. coli K1 but still alive inside A. castellanii. E. coli K1 and K5 survived and multiplied intracellularly in A. castellanii. The survival assay was performed under a favourable condition for 22 hr and 43 hr with the encystment of A. castellanii. Under the favourable condition for the transformation of trophozoites into cysts, E. coli K5 multiplied significantly. Moreover, the pathogenic potential of E. coli K1 from A. castellanii cysts exhibited no changes as compared with E. coli K1 from A. castellanii trophozoites. E. coli K5 was multiplied in A. castellanii trophozoites and survived in A. castellanii cysts. Therefore, this study suggests that E. coli K5 can use A. castellanii as a reservoir host or a vector for the bacterial transmission.

Kinemetic analysis of a thumping security motion with an expandable barton (경호원의 삼단봉 머리치기 동작의 운동학적 분석)

  • Kim, Yong-Hak;Kim, Sin-Hye;Jung, Sung-Bae
    • Korean Security Journal
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    • no.36
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    • pp.93-109
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    • 2013
  • This research is mainly based on the experimental result due to seek different outcomes whena certain security motion with a paticular gear is applied in a plausible confrontational situation. For the purpose of this research an Expandable Baton, which is one of the most commonsecurity equipments, was chosen to be applied in a situation of hitting a person's head. Alsothe results will be studied in the view of Kinematic theory. To demonstrate, 10 students who were majeored in Escort Crane studies at 'H' university werechosen as testees. The participants were grouped into two-one is practiced with the 'expanadable baton use program' and the other is pre-practiced. In this report two groups abovewill be reffered as 'group A' and 'group B' for conveniency. There were a number of differences and changes between two groups. Group B took more timethan the other group did. Group A spent about 0.428sec in section 'e2' and 0.230sec in section'e3' while Group B took 0.435sec, 0.232sec in each sections.To add on, more distinctive results were out when it was more focused on physical movements. Two gropus presented considerable changes- in an 'left-right' moving displacement-Group A;$2.16{\pm}0.9cm$ (left side), $3.78{\pm}1.42cm$ (right side), total $5.94{\pm}2.03cm$. Group B; $2.97{\pm}1.01cm$ (left side),$4.56{\pm}1.57cm$ (right side), total $7.53{\pm}2.13cm$.Continuously, different outcomeswere shown between two groups in a 'back and forth' moving displacement-Group A;$32.48{\pm}3.86cm$, $35.21{\pm}4.64cm$, total $69.36{\pm}5.72$. Group B; $34.50{\pm}6.12cm$, $37.04{\pm}3.70cm$, total $71.46{\pm}7.17cm$. Furthermore, changes in an 'up and down' moving displacement were - GroupA; $5.62{\pm}2.41cm$, $4.54{\pm}1.87cm$, total $10.11{\pm}1.57cm$. Group B; $6.33{\pm}1.78cm$, $4.86{\pm}1.85cm$,total $10.68{\pm}1.81cm$. To continue, there were few modifications of degree on participants' joints, espcially on 'Wristjoint', 'Elbow joint' and 'Shoulder joint', depend on different sections -Wrist joint;Group A; e1 $114.62{\pm}7.13$, e2 $68.27{\pm}6.37$, e3 $131.64{\pm}6.27$. Group B; e1 $112.62{\pm}6.13$, e2 $66.28{\pm}7.38$, e3$137.42{\pm}4.28$ and Elbow joint ; Group A e1 $132.31{\pm}6.55$, e2 $117.92{\pm}8.42$, e3 $144.41{\pm}6.32$. Group B; e1 $133.58{\pm}8.56$, e2 $114.45{\pm}8.21$, e3 $139.89{\pm}4.38$. Lastly, degree changes ofshoulder joint were; Group A; e1 $13.55{\pm}3.85$, e2 $131.42{\pm}11.24$, e3 $78.32{\pm}6.28$. Group B; e1$9.45{\pm}1.23$, e2 $136.74{\pm}13.21$, e3 $79.75{\pm}4.24$.

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The Effect of Brown Tinted or UV-A blocking Ophthalmic Lens Against the Photooxidation of A2E, a Lipofuscin in Retina (망막 내 노인성 형광색소의 광산화에 미치는 Brown 착색렌즈와 UV-A 차단 안경렌즈의 영향)

  • Park, Sang-Il
    • Journal of Korean Ophthalmic Optics Society
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    • v.17 no.1
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    • pp.91-97
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    • 2012
  • Purpose: This purpose of study is to investigate the effect of UV-A-blocking or brown-tinted ophthalmic lens against A2E photooxidation which known as one of the etiologies of AMD(Age-related macular degenaration). Methods: The photooxidation of A2E, synthetic product of two molecules of all-trans-retinal and ethanolamine, was induced by the exposure to blue light (420~470 nm, $94mW/cm^2$) for 3 minutes. The inhibitory effect of UVblocking or brown-tinted ophthalmic lens against A2E photooxidation was evaluated by UV absorbance and HPLC analysis of remained A2E after the exposure to blue light. Results: UV-blocking ophthalmic lens could not inhibit A2E photooxidation induced by blue light irradiation. There was no difference in A2E photooxidation in the presence of brown-tinted ophthalmic lens to block 15% of visible ray, however, those lenses blocking 55% or 86% of visible ray showed the inhibitory effect of A2E photooxidation as 9.98% and 16.55%, respectively. By HPLC analysis, the amount of residual A2E which was not blocked by any lens was $199.29{\pm}26.53{\mu}M$, however, the inhibitory effect against A2E photooxidation was shown in the presence of brown-tinted lens. The remained A2Es were $264.58{\pm}31.91{\mu}M$ and $402.93{\pm}28.68{\mu}M$ in brown-tinted lenses of 55% and 86% blocking visible ray, respectively. However, there was no inhibitory effect against A2E photooxidation in the case of UV-blocking lens by HPLC analysis. Conclusions: In this study, brown-tinted ophthalmic lens was confirmed to have the inhibitory effect against the photooxidation of A2E, a causing substance of AMD onset.

ON THE PETTIS INTEGRABILITY

  • Kim, Jin Yee
    • Journal of the Chungcheong Mathematical Society
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    • v.8 no.1
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    • pp.111-117
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    • 1995
  • A function $f:{\Omega}{\rightarrow}X$ is called intrinsically-separable valued if there exists $E{\in}{\Sigma}$ with ${\mu}(E)=0$ such that $f({\Omega}-E)$ is a separable in X. For a given Dunford integrable function $f:{\Omega}{\rightarrow}X$ and a weakly compact operator T, we show that if f is intrinsically-separable valued, then f is Pettis integrable, and if there exists a sequence ($f_n$) of Dunford integrable and intrinsically-separable valued functions from ${\Omega}$ into X such that for each $x^*{\in}X^*$, $x^*f_n{\rightarrow}x^*f$ a.e., then f is Pettis integrable. We show that a function f is Pettis integrable if and only if for each $E{\in}{\Sigma}$, F(E) is $weak^*$-continuous on $B_{X*}$ if and only if for each $E{\in}{\Sigma}$, $M=\{x^*{\in}X^*:F(E)(x^*)=O\}$ is $weak^*$-closed.

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LIE IDEALS IN THE UPPER TRIANGULAR OPERATOR ALGEBRA ALG𝓛

  • LEE, SANG KI;KANG, JOO HO
    • Journal of applied mathematics & informatics
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    • v.36 no.3_4
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    • pp.237-244
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    • 2018
  • Let ${\mathcal{H}}$ be an infinite dimensional separable Hilbert space with a fixed orthonormal base $\{e_1,e_2,{\cdots}\}$. Let L be the subspace lattice generated by the subspaces $\{[e_1],[e_1,e_2],[e_1,e_2,e_3],{\cdots}\}$ and let $Alg{\mathcal{L}}$ be the algebra of bounded operators which leave invariant all projections in ${\mathcal{L}}$. Let p and q be natural numbers (p < q). Let ${\mathcal{A}}$ be a linear manifold in $Alg{\mathcal{L}}$ such that $T_{(p,q)}=0$ for all T in ${\mathcal{A}}$. If ${\mathcal{A}}$ is a Lie ideal, then $T_{(p,p)}=T_{(p+1,p+1)}={\cdots}=T_{(q,q)}$ and $T_{(i,j)}=0$, $p{\eqslantless}i{\eqslantless}q$ and i < $j{\eqslantless}q$ for all T in ${\mathcal{A}}$.

A Study on the Connection Type in e-Marketplace (e-마켓플레이스의 연계유형에 관한 연구)

  • 최형림;박남규;황성원;이창섭;박민선
    • Proceedings of the CALSEC Conference
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    • 2003.09a
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    • pp.172-177
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    • 2003
  • As the electronic commerce in industry is spreading rapidly, the invitation and investment of e-marketplace is becoming a necessary condition for the industry's competition power insurance and existence. The successful conditions of e-marketplace are many supplier, many buyer, a globalism through the association and cooperation of a foreign marketplace. For that, the connection action inter industries and marketplaces is very necessary, In a condition of the study about the systematic connection type's classification is not exist, the paper aims at classifying the connection type that influences of e-marketplace playing a leading role. So, the connection type classifies into the list offering type, the trade mediation type, the supplementation type, the collaboration type, the information linking type. When we go ahead with a e-marketplace's plan, the paper will guide how to approach and analyze it.

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The Specified Reference Model for Supporting a Teaching&Learning Function of the e-Learning System (e-러닝 시스템의 교수-학습 기능 지원을 위한 명세화된 참조 모델)

  • Lee, Woo-Beom
    • Journal of the Institute of Convergence Signal Processing
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    • v.10 no.1
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    • pp.23-31
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    • 2009
  • Supporting of the user-wanted teaching&learning functions is an important factor to improve the learning effects in a e-learning system. However, most methods are not enough to refer a model for supporting a teaching&learning function in a planning, development, operation, and evaluation. Accordingly, we propose the specified reference model for supporting a teaching&learning function in the web-based e-learning system. To verify the validity of the proposed system, we consulted the students experienced in e-learning system. As a results, The proposed specified reference model can be expected more $11%{\sim}23%$ effectiveness improvement than that of their experienced in the previous system. Also, as the pre-evaluated results using the teaching&learning services supporting degree by the proposed reference model, those measurements are very similar to the services requirement degree of their experienced in e-learning system.

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Sodium Butyrate Alters Cell-Cell Interactions through Up-Regulation of E-Cadherin in Human Hepatocellular Carcinoma Cells (Sodium butyrate에 의한 E-cadherin의 발현증가와 세포간 상호작용의 변화)

  • Kwun, Hyun-Jin;Jang, Kyung-Lib
    • Journal of Life Science
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    • v.19 no.6
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    • pp.705-710
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    • 2009
  • Sodium butyrate (NaBt), a naturally occurring short chain fatty acid derived from carbohydrate metabolism in the gut, is known to exhibit strong anti-cancer potentials in various human cancer cells; however, its action mechanism is poorly understood. In the present study, we demonstrated that NaBt up-regulates levels of E-cadherin, a key cell adhesion molecule implicated as a tumor suppressor, in a cell type-specific manner. Although levels of p21, a potential activator for E-cadherin expression, were also up-regulated by treatment with NaBt in several types of cells, it does not seem to be associated with the activation of E-cadherin in the NaBt-treated cells. Instead, the data from promoter analysis suggest that NaBt up-regulates expression of E-cadherin at the transcription level by enhancing its promoter strength via a CCAAT-box. The elevated E-cadherin in the presence of NaBt was primarily localized at the cell-cell contacts, converting Hep3B cells into a more differentiated form.