• 제목/요약/키워드: regular ideal

검색결과 216건 처리시간 0.031초

ON 𝜙-PSEUDO-KRULL RINGS

  • El Khalfi, Abdelhaq;Kim, Hwankoo;Mahdou, Najib
    • 대한수학회논문집
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    • 제35권4호
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    • pp.1095-1106
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    • 2020
  • The purpose of this paper is to introduce a new class of rings that is closely related to the class of pseudo-Krull domains. Let 𝓗 = {R | R is a commutative ring and Nil(R) is a divided prime ideal of R}. Let R ∈ 𝓗 be a ring with total quotient ring T(R) and define 𝜙 : T(R) → RNil(R) by ${\phi}({\frac{a}{b}})={\frac{a}{b}}$ for any a ∈ R and any regular element b of R. Then 𝜙 is a ring homomorphism from T(R) into RNil(R) and 𝜙 restricted to R is also a ring homomorphism from R into RNil(R) given by ${\phi}(x)={\frac{x}{1}}$ for every x ∈ R. We say that R is a 𝜙-pseudo-Krull ring if 𝜙(R) = ∩ Ri, where each Ri is a nonnil-Noetherian 𝜙-pseudo valuation overring of 𝜙(R) and for every non-nilpotent element x ∈ R, 𝜙(x) is a unit in all but finitely many Ri. We show that the theories of 𝜙-pseudo Krull rings resemble those of pseudo-Krull domains.

HILBERT FUNCTIONS OF STANDARD k-ALGEBRAS DEFINED BY SKEW-SYMMETRIZABLE MATRICES

  • Kang, Oh-Jin
    • 대한수학회지
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    • 제54권5호
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    • pp.1379-1410
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    • 2017
  • Kang and Ko introduced a skew-symmetrizable matrix to describe a structure theorem for complete intersections of grade 4. Let $R=k[w_0,\;w_1,\;w_2,\;{\ldots},\;w_m]$ be the polynomial ring over an algebraically closed field k with indetermiantes $w_l$ and deg $w_l=1$, and $I_i$ a homogeneous perfect ideal of grade 3 with type $t_i$ defined by a skew-symmetrizable matrix $G_i(1{\leq}t_i{\leq}4)$. We show that for m = 2 the Hilbert function of the zero dimensional standard k-algebra $R/I_i$ is determined by CI-sequences and a Gorenstein sequence. As an application of this result we show that for i = 1, 2, 3 and for m = 3 a Gorenstein sequence $h(R/H_i)=(1,\;4,\;h_2,\;{\ldots},\;h_s)$ is unimodal, where $H_i$ is the sum of homogeneous perfect ideals $I_i$ and $J_i$ which are geometrically linked by a homogeneous regular sequence z in $I_i{\cap}J_i$.

A SYMBOLIC POWER OF THE IDEAL OF A STANDARD 𝕜-CONFIGURATION IN 𝕡2

  • Shin, Yong-Su
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제25권1호
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    • pp.31-38
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    • 2018
  • In [4], the authors show that if ${\mathbb{X}}$ is a ${\mathbb{k}}-configuration$ in ${\mathbb{P}}^2$ of type ($d_1$, ${\ldots}$, $d_s$) with $d_s$ > $s{\geq}2$, then ${\Delta}H_{m{\mathbb{X}}}(md_s-1)$ is the number of lines containing exactly $d_s-points$ of ${\mathbb{X}}$ for $m{\geq}2$. They also show that if ${\mathbb{X}}$ is a ${\mathbb{k}}-configuration$ in ${\mathbb{P}}^2$ of type (1, 2, ${\ldots}$, s) with $s{\geq}2$, then ${\Delta}H_{m{\mathbb{X}}}(m{\mathbb{X}}-1)$ is the number of lines containing exactly s-points in ${\mathbb{X}}$ for $m{\geq}s+1$. In this paper, we explore a standard ${\mathbb{k}}-configuration$ in ${\mathbb{P}}^2$ and find that if ${\mathbb{X}}$ is a standard ${\mathbb{k}}-configuration$ in ${\mathbb{P}}^2$ of type (1, 2, ${\ldots}$, s) with $s{\geq}2$, then ${\Delta}H_{m{\mathbb{X}}}(m{\mathbb{X}}-1)=3$, which is the number of lines containing exactly s-points in ${\mathbb{X}}$ for $m{\geq}2$ instead of $m{\geq}s+1$.

삼단검색 알고리즘을 위한 움직임 추정기 구조 (A High Speed Motion Estimation Architedture for Three Step Search Algorithm)

  • 김상중;김용길;임강빈;김용득;정기현
    • 한국정보처리학회논문지
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    • 제4권2호
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    • pp.616-627
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    • 1997
  • 본 논문에서는 동영상 처리에서 사용되는 움직임 추정을 위한 삼단 검색 알고리 즘의 구조에서는 규칙적인 데이타 입력이 가능하게 되고 입력된 데이타는 그 데이타를 사용하는 모든 연산과정을 거치게 되어 데이타 입력 대역폭이 최소화 된다. 기존의 구조 들 보다 적은 자원으로 최대 계산 속도에 접근하는 성능을 가진다. 제안된 구조의 성능 분석과 다른 구조들과의 비교가 제시된다.

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적분기를 이용한 저항성 누전전류 작동방식 누전차단기 개발 (Development of an Earth Leakage Breaker Operating by Resistive Leakage Current using a Resetable Integrator)

  • 함승진;한송엽;고창섭
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 제38회 하계학술대회
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    • pp.917-918
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    • 2007
  • The former earth leakage breaker is operating by total leakage current which is the vector-sum of resistive leakage current and capacitive leakage current. However, the electric disaster like the electric shock and fire is caused mainly by resistive leakage current. Therefore, the earth leakage breaker is ideal when it is operating by resistive leakage current. In this paper, the theory for finding the component of resistive leakage current from total leakage current is suggested and it is embodied to actual circuit. The resistive leakage current can be found by integrating the total leakage current during half cycle of line voltage. Thus, we can simply find resistive leakage current by using OP-AMP integrators, and we can confirm that the resistive leakage current is computed exactly from total leakage current obtained by resistive leakage current and capacitive leakage current. The results that the earth leakage breaker is operating within regular interrupt time are verified when the former earth leakage breaker's controller circuit is replaced by the proposed controller circuit.

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소의 심낭을 이용한 이종이식 보철편의 개발 (I)고정액의 농도와 장력 (Investigation of Bovine Pericardial Heterograft (I) - Concentration of fixatives and tensile strength -)

  • 안재호;김용진
    • Journal of Chest Surgery
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    • 제22권3호
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    • pp.373-383
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    • 1989
  • Glutaraldehyde is known as an ideal preservatives for pericardial heterograft, and many laboratories used this chemicals for preparing tissue valves, pericardial patches and MVOP [monocusp ventricular outflow patch] so we tried to find out the appropriate concentration and ingredients of the Glutaraldehyde for the preparing bovine pericardium. We selected 50 calves, aged about 2 years, and procured their pericardia. These were divided 6 groups such as fresh group, treated with only antibiotics, treated with Glutaraldehyde 0,5%, 0.625 %, 0.75 %, and 0.875 %, and our experiments included microbial culture test, tensile strength measurement and microscopic examination. On microbial culture, there were no growth on 1 week and 4 weeks after preparation with all kind of Glutaraldehyde, but on 4 weeks after only antibiotics treatment [Penicillin, Streptomycin, Kanamycin, Amphotericin -B] E.coli and candida albicans were observed. On tensile strength test, 0.625 % and 0.75 % Glutaraldehyde were revealed as the best preservatives for bovine pericardium and compared to other commercial products they kept more desirable tensile strength. On light and electron microscopic examinations, Glutaraldehyde treated pericardia had much regular and compact collagen fibers and preserved more normal structures, but there were no difference between the different concentration of the Glutaraldehyde. We concluded that 0.625% and 0.75 % Glutaraldehyde were the best concentration for preservation of bovine pericardium in our experiment.

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Properties of Sodium Dodecyl Sulfate / Triton X-100 Mixed Micelle

  • Park, Joon-Woo;Chung, Myung-Ae;Choi, Kyung-Moon
    • Bulletin of the Korean Chemical Society
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    • 제10권5호
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    • pp.437-442
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    • 1989
  • The cmc's of sodium dodecyl sulfate (SDS)/Triton X-100 surfactant mixtures were determined by surface tension measurement at various surfactant compositions. The cmc values were lower than those predicted from ideal mixture. The regular solution theory was applied to calculate the interaction parameter, micellar composition, and the activity coefficients of surfactants in the mixed micelle. The interaction parameter (${\beta}$) was - 2.1. The nonideality arised largely from decreased activity of SDS in the mixed micelle. The mean aggregation numbers (${\bar{n}}$) and micropolarity of hydrocarbon region of the mixed micelles were determined by luminescence probe techniques. The total aggregation number (${\bar{n}}_{SDS}+{\bar{n}}_{TX}$) in mixed micelles showed little dependency on the composition of the micelle. The apparent dielectric constant of the hydrocarbon region of the micelle vs micellar composition plot showed positive deviation from linearity. Emission and emission quenching of excited tris(2,2'-bipyridine)ruthenium(Ⅱ) cation, $(Ru(bpy)_3^{2+})$, by methylviologen ($MV^{2+}$) were also investigated in the mixed micellar solutions. The quenching rate was lowest when the mole fraction of SDS in the surfactant mixtures (${\alpha}_{SDS}$) is about 0.25 and highest at ${\alpha}_{SDS}$ = 0.85. This was explained in terms of combined effects of binding of the cations with the micelle and mobility of the bound cations on the surface of the micelles.

Computer vision monitoring and detection for landslides

  • Chen, Tim;Kuo, C.F.;Chen, J.C.Y.
    • Structural Monitoring and Maintenance
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    • 제6권2호
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    • pp.161-171
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    • 2019
  • There have been a few checking frameworks intended to ensure and improve the nature of their regular habitat. The greater part of these frameworks are constrained in their capacities. In this paper, the insightful checking framework intended for debacle help and administrations has been exhibited. The ideal administrations, necessities and coming about plan proposition have been indicated. This has prompted a framework that depends fundamentally on ecological examination so as to offer consideration and security administrations to give the self-governance of indigenous habitats. In this sense, ecological acknowledgment is considered, where, in light of past work, novel commitments have been made to help include based and PC vision situations. This epic PC vision procedure utilized as notice framework for avalanche identification depends on changes in the normal landscape. The multi-criteria basic leadership strategy is used to incorporate slope data and the level of variety of the highlights. The reproduction consequences of highlight point discovery are shown in highlight guide coordinating toward discover steady and coordinating component focuses and effectively identified utilizing these two systems, by examining the variety in the distinguished highlights and the element coordinating.

Emergence of Online Teaching for Plastic Surgery and the Quest for Best Virtual Conferencing Platform: A Comparative Cohort Study

  • Suvashis Dash;Raja Tiwari;Amiteshwar Singh;Maneesh Singhal
    • Archives of Plastic Surgery
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    • 제50권2호
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    • pp.200-209
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    • 2023
  • Background As the coronavirus disease 2019 virus made its way throughout the world, there was a complete overhaul of our day-to-day personal and professional lives. All aspects of health care were affected including academics. During the pandemic, teaching opportunities for resident training were drastically reduced. Consequently, medical universities in many parts across the globe implemented online learning, in which students are taught remotely and via digital platforms. Given these developments, evaluating the existing mode of teaching via digital platforms as well as incorporation of new models is critical to improve and implement. Methods We reviewed different online learning platforms used to continue regular academic teaching of the plastic surgery residency curriculum. This study compares the four popular Web conferencing platforms used for online learning and evaluated their suitability for providing plastic surgery education. Results In this study with a response rate of 59.9%, we found a 64% agreement rate to online classes being more convenient than normal classroom teaching. Conclusion Zoom was the most user-friendly, with a simple and intuitive interface that was ideal for online instruction. With a better understanding of factors related to online teaching and learning, we will be able to deliver quality education in residency programs in the future.

예비영양교사의 학교에서의 영양교육 경험 및 방향 설정에 대한 인식 조사 (Experience and Vision of Nutrition Education by Nutrition Teacher Candidate in School)

  • 이은주;이해영
    • 한국식생활문화학회지
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    • 제24권4호
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    • pp.440-450
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    • 2009
  • The purposes of study were to survey the status of nutrition education in school and investigate the perception of nutrition teacher candidates concerning the direction and ideal method for nutrition education. A questionnaire was distributed to 554 nutrition teacher candidates from August to October, 2006. A total of 468 usable data were collected (84.5% response rate). The statistical data analysis was completed by using SPSS for Windows (ver. 10.0) for descriptive analysis, ANOVA and $X^2$-test. About 52% of respondents had nutrition education teaching experience. Half of the respondents indicated that the necessity for nutrition education stemmed from their own need for such education. The main problem in students' dietary life was 'the increasing intake of processed foods, instant foods and fast foods (4.23 out of Likert 5 point scale)' and the major nutritional problem was 'high calorie intake with low essential nutrients (3.96 out of Likert 5 point scale)'. Over half the respondents (53.4%) recommended that nutrition education be oriented towards behavioral change rather than knowledge delivery. Social learning theory was preferred mostly as an theory apt to nutrition education (60.3%) and the most effective means of education was referred to organizing the regular class for nutrition education (50.5%). The 'playing such as songs or game' was reported as both effective and realizable method in nutrition education.