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COMMUTATORS OF SINGULAR INTEGRAL OPERATOR ON HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT

  • Wang, Hongbin
    • Journal of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.713-732
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    • 2017
  • Let ${\Omega}{\in}L^s(S^{n-1})$ for s > 1 be a homogeneous function of degree zero and b be BMO functions or Lipschitz functions. In this paper, we obtain some boundedness of the $Calder{\acute{o}}n$-Zygmund singular integral operator $T_{\Omega}$ and its commutator [b, $T_{\Omega}$] on Herz-type Hardy spaces with variable exponent.

An improved bonferroni-type inequality

  • Lee, Min-Young
    • Bulletin of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.329-336
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    • 1995
  • Let $A_1, A_2, \ldots, A_n$ be a sequence of events on a given probability space and let $m_n$ be the number of those A's which occur. Put $S_{0,n} = 1$ and $$ S_{k,n} = \Sigma P(A_i_1 \cap A_i_2 \cap \cdots \cap A_i_k), (a \leq k)$$ where the summation is over all subscripts satisfying $1 \let i_1 < i_2 < \cdots < i_k \leq n$.

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AN IMPROVED LOWER BOUNDS OF UNIVARIATE BONFERRONI-TYPE INEQUALITY

  • Lee, Min-Young;Jo, Moon-Shik
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.2
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    • pp.171-175
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    • 2009
  • Let $A_1,\;A_2,\;{\cdots},\;A_n$ be a sequence of events on a given probability space. Let $m_n$ be the number of those $A_{i}{^{\prime}}s$ which occur. We establish an improved lower bounds of Univariate Bonferroni-Type inequality by using the linearity of binomial moments $S_1,\;S_2,\;S_3,\;S_4$ and$S_5$.

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A Study of Metallurgical Phenomena in Austenitic Stainless Steel Fusion Welds (I) -Weldability of Commercial Austenitic Stainless Steels- (오스테나이트계 스테인리스강 용접부의 금속학적 현상에 관한 연구(I) - 시판 오스테나이트계 스테인리스강의 용접성 -)

  • 이종섭;김숙환
    • Journal of Welding and Joining
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    • v.16 no.3
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    • pp.111-120
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    • 1998
  • To predict and evaluate metallurgical and mechanical behavior of th welds, it is essential to understand solidification behavior and microstructural evolution experienced in the welds, neither of which follows the equilibrium phase diagram because of rapid heating and cooling conditions. Metallurgical phenomena in austenitic stainless steel fusion welds, types 304, 309S, 316L, 321 and 304N, were investigated in this study. Autogenous GTA welding was performed on weld coupons, and primary solidification mode and phase distribution were investigated from the welds. Varestraint test was employed to evaluate solidification cracking susceptibilities of the alloys. GTA weld fusion zones in type 304, 321 and 304N stainless steels experienced primary ferrite solidification while those in type 309S primary austenite solidification. Type 316L exhibited a mixed type of primary ferrite and primary austenite solidification. The primary solidification mode strongly depended on $Cr_{eq}/Ni_{eq}$ ratio. In terms of solidification cracking susceptibility, type 309S that solidified as primary austenite exhibited high cracking susceptibility while the alloys experienced primary ferrite solidification showed low cracking susceptibility. The relative ranking in solidification cracking susceptibility was type 304=type 304N < type 321 < type 316L < type 309S.

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InSe 단일층의 도핑 가능성 탐색 연구

  • Sin, Yu-Ji;Lee, Ye-Seul
    • Proceeding of EDISON Challenge
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    • 2017.03a
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    • pp.404-411
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    • 2017
  • 이 논문에서는 2차원 화합물 반도체인 Indium Selenide monolayer의 효과적인 도펀트 원소를 탐색해보았다. 총 4가지 종류의 원소를 도핑시켜 계산을 했다. In 자리에 Mg과 Sn을 도핑시켜 각각 p-type과 n-type으로 만들고 Se 자리에 As과 Br을 도핑시켜 각각 p-type과 n-type으로 만들었다. 변화한 성질을 알아보기 위해 전자 구조를 분석하고 band structure와 DOS를 살펴보았다. P-type 같은 경우, Mg doped InSe는 shallow defect level이 생겨 좋은 반도체로 쓰일 수 있지만 As을 도핑한 InSe는 deep defect states가 생겼다. VBM에서 약 0.67 eV만큼 떨어져있는데 이 수치는 실험값과 비슷한 값이다. N-type 경우에는 Sn doped InSe는 deep defect states가 생겼고, CBM 아래로 약 0.08eV만큼 defect가 생긴 것이 실험값과 비슷하다. Br doped InSe는 Sn doped InSe보다 안정적인 n형 반도체가 될 수 있다.

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THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS

  • Jang, Lee-Chae
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.6
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    • pp.1181-1188
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    • 2010
  • q-Volkenborn integrals ([8]) and fermionic invariant q-integrals ([12]) are introduced by T. Kim. By using these integrals, Euler q-zeta functions are introduced by T. Kim ([18]). Then, by using the Euler q-zeta functions, S.-H. Rim, S. J. Lee, E. J. Moon, and J. H. Jin ([25]) studied q-Genocchi zeta functions. And also Y. H. Kim, W. Kim, and C. S. Ryoo ([7]) investigated twisted q-zeta functions and their applications. In this paper, we consider the q-analogue of twisted Lerch type Euler zeta functions defined by $${\varsigma}E,q,\varepsilon(s)=[2]q \sum\limits_{n=0}^\infty\frac{(-1)^n\epsilon^nq^{sn}}{[n]_q}$$ where 0 < q < 1, $\mathfrak{R}$(s) > 1, $\varepsilon{\in}T_p$, which are compared with Euler q-zeta functions in the reference ([18]). Furthermore, we give the q-extensions of the above twisted Lerch type Euler zeta functions at negative integers which interpolate twisted q-Euler polynomials.

A Study on Culinary Arts Major Students's Type of Subjectivity Recognition through Restaurant Start-up Experience Program -Focused on Pop-up Restaurant- (외식창업교육 체험프로그램을 통한 조리전공 재학생의 주관적 인식유형 연구 -팝업레스토랑을 중심으로-)

  • Kim, Chan-Woo;Shin, Seoung-Hoon
    • The Journal of the Korea Contents Association
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    • v.19 no.6
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    • pp.347-358
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    • 2019
  • This study used Q methodology for analogizing culinary arts major students' subjectivity through their participation of one of restaurant start-up experience program, called pop-up restaurant. The study tried to figure out particular structure of among students' responses and noticed five distinctive types. There were Increase learning effect type(Type 1, N=4), Collaboration of members importance type(Type2, N=8), Marketing PR need type(Type3, N=6), Restaurant business plan type(Type4, N=4), Industry work experience required type(Type5, N=3). The study also revealed that each type contained diverse characteristics figures in their own. The research finding could be used as fundamental source of future similar research but in other research methodology in the format of difference among students or diverse measuring point of time frame.

Effect of Nutrient Composition and Air Regulation on Bulking in the Activated Sludge Process (활성오니공법에서 영양염류 조성비와 공기조절이 팽화발생에 미치는 영향)

  • 이장훈;권혁구;강병곤;정준오
    • Journal of Environmental Health Sciences
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    • v.30 no.1
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    • pp.7-14
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    • 2004
  • The change in filamentous bacteria appearance was observed by adjusting factors such as organic and nurient concentration of feed wastewater and the aeration rate in the reactor. In case that COD:N:P and DO were 100:10:1 and 6.1 m1/1 respectively, the mean SVI was 122 ml/g and the filaments were developed normally in flocs. For the low DO con- dition, however, the SVI averaged 186 ml/g and the appearance of outgrowing filaments were more frequent. When the high organic was supplied into the reactor, the average SVI was 274 ml/g and the distinct filamentous bulking was observed. Meanwhile when COD:N:P was maintained at 100: 1 :0.5, the SVI was as low as 87 ml/g and the appearance of filaments were minimal and the size of flocs was small comparing other experimental conditions. For normal, low aeration and high organic concentration, predominant filaments in the early stage of experiments were commonly Type 021N,S. natans which were usually found in low DO condition. However, Type 041, Type 1851, Type 0961 became predominant as experiments extended. Meanwhile, in low nutrient condition, Type 0675, Type 1851, and Type 0961 were observed. The filamentous bacteria appearance for SVI< 150(ml/g), Type 0041, Type 0961 (usually low organic in feed wastewater) were predominantly observed and SVI > 150(ml/g), S. natans and Type 021N(usually low DO in aeration basin) was predominant.

Relationship between Personality Type and Academic Achievement of Korean Medical Students

  • Jang, Jae Soon;Hwang, Wei Wan;Cho, Seung Hun
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.30 no.1
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    • pp.61-65
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    • 2016
  • The purpose of this study is to examine the relationship between Myers-Briggs Type Indicator(MBTI) personality type and academic achievement of Korean medical students. A total of 97 (57 men, 40 women; ages 24 to 36) fourth-year Korean medical students participated in this study. The MBTI questionnaire was administered to all the students for identification of their personality type and academic performance. The results are as follows. First, the proportions of Personality type of Korean medical students were Extroversion (E) 33.0% - Introversion (I) 67.0%, Sensing (S) 70.1%- Intuition (N) 29.9%, Thinking (T) 58.8%- Feeling (F) 41.2%, and Judging (J) 54.6% - Perceiving (P) 45.3%. Second, the most common personality type was ISTJ (22.7%), followed by ISTP (13.4%), ISFJ (12.3%). Third, according to the analysis of this study, academic achievement was significantly related with their personality type in the preference : Sensing (S) - Intuition (N) and Judging (J)-Perceiving (P). In analysis of Sensing (S) - Intuition (N) and Judging (J)-Perceiving (P) index, Sensing (S) and Judging (J) type students had higher academic achievement than Intuition (N) and Perceiving (P) type students. This is the study to identify the characteristics of MBTI in Korean Medical students. The findings indicate that academic achievement was significantly related to their personality type in the preference. Using the results of MBTI in Korean medical students, is helpful in selection of appropriate teaching and learning strategies to provide better education.