• Title/Summary/Keyword: equivalent class

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TRACE-CLASS INTERPOLATION FOR VECTORS IN TRIDIAGONAL ALGEBRAS

  • Jo, Young-Soo;Kang, Joo-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.63-69
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    • 2002
  • Given vectors x and y in a Hilbert space, an intepolating operator is a bounded operator T such that Tx=y. an interpolating operator for n vectors satisfies the equation Tx$_{i}$=y, for i=1, 2,…, n. In this article, we obtained the fellowing : Let x = (x$_{i}$) and y = (y$_{i}$) be two vectors in H such that x$_{i}$$\neq$0 for all i = 1, 2,…. Then the following statements are equivalent. (1) There exists an operator A in AlgL such that Ax = y, A is a trace-class operator and every E in L reduces A. (2) (equation omitted).mitted).

APPROXIMATION BY INTERPOLATING POLYNOMIALS IN SMIRNOV-ORLICZ CLASS

  • Akgun Ramazan;Israfilov Daniyal M.
    • Journal of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.413-424
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    • 2006
  • Let $\Gamma$ be a bounded rotation (BR) curve without cusps in the complex plane $\mathbb{C}$ and let G := int $\Gamma$. We prove that the rate of convergence of the interpolating polynomials based on the zeros of the Faber polynomials $F_n\;for\;\bar G$ to the function of the reflexive Smirnov-Orlicz class $E_M (G)$ is equivalent to the best approximating polynomial rate in $E_M (G)$.

Low Cost Class-I Converter for Power Conversion Operation of Piezoelectric Transformer (전력용 압전 변압기 구동을 위한 저가형 클래스-E 컨버터)

  • Kim T. I.;Park J. H.;Lee S. M.;Choi S. J.;Cho B. H.
    • Proceedings of the KIPE Conference
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    • 2004.07b
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    • pp.696-699
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    • 2004
  • This paper proposes the Low Cost Class-E Converter with Power Conversion Operation of Piezoelectric Transformer. The Power Piezoelectric transformer capacity used in the proposed circuit is 15W and the electric equivalent circuit is presented. Class E type converter has some merits such as small component count, small size, and low cost. The topology has also ZVS conditions for main switch, thus in efficiency aspect, it is also competitive for commercial feasibility. The analysis and design guideline are suggested and also they are verified by experimental results.

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A Goodness of Fit Approach to Major Lifetesting Problems

  • Ahmad, Ibrahim A.;Alwasel, Ibrahim A.;Mugdadi, A.R.
    • International Journal of Reliability and Applications
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    • v.2 no.2
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    • pp.81-97
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    • 2001
  • Lifetesting problems have been the subject of investigations for over three decades. Most suggested approaches are markedly different from those used in the related but wider goodness of fit problems. In the current investigation, it is demonstrated that a goodness of fit approach is possible in many lifetesting problems and that It results in simpler procedures that are asymptotically equivalent or better than standard ones. They may also have superior finite sample behavior. Several perennial classes are addressed here. The class of increasing failure rate (IFR) and the class of new better than used (NBU) are addressed first. In addition, we provide testing for a newer and practical class of new better than used in convex ordering (NBUC) due to Cao and Wang (1991). Other classes can be developed similarly and this point is illustrated with the classes of new better than used in expectation (NBUE) and harmonic new better than used in expectation (HNBUE).

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Strain Characteristics of a 75 tonf-class Engine for Ground Firing Test (75톤급 엔진 지상 연소 시험 변형율 특성)

  • Yoo, Jaehan;Kim, Jinhyuk;Jeon, Seongmin
    • Journal of the Korean Society of Propulsion Engineers
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    • v.22 no.6
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    • pp.126-133
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    • 2018
  • A liquid rocket engine experiences various static loads in flight, such as high pressures due to propellents, thrust and thermal loads due to cryogenic liquid oxygen and combustion gas with extreme vibration. During the engine development stage, structural analyses and investigation on the strain measured from ground firing tests are necessary for determining the structural reliability of the engine. In this study, the strain characteristics, obtained from the ground firing tests of a 75 tonf-class engine, were analyzed.

Toxicity and safety classification of 4 animal medicines - Focusing on venoms from bee, snake, blister beetle and scolopendrid - (일부 동물성 한약재의 독성과 안전성등급화 - 봉독, 사독, 반묘와 오공을 중심으로 -)

  • Park, Yeongchul;Lee, Sundong
    • Journal of Society of Preventive Korean Medicine
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    • v.20 no.1
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    • pp.125-144
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    • 2016
  • Objectives : About 13% of the medicines used by traditional korean medicines(TKM), are called animal medicines and are derived from non-herbal sources such as animals and insects. However, the clinical use of these preparations from animal medicines is often based on tradition and belief, rather than on evidence of toxicity and efficacy. As a result, animal medicines containing toxin have caused serious problems from injecting patients with venom. Here, various venoms frequently used as TKM were reviewed in terms of their instinct toxity and tried to estimate their safety classification. Methods : The estimation of safety classification was based on human equivalent dose(HED)-based MOS (margin of safety) and clinical dose applied for patients. Results and Conclusions : Except that of snake venom due to no clinical dose, they were evaluated as class 3 for bee venom, class 4 for cantharidin, toxin from blister beetle, and class 1 for venom from scolopendrid. In conclusion, animal medicines showed a wide range of safety classification from class 1 to class 4. This wide range is estimated to result from extremely limited applications of each venom for patients because of their strong toxicity. However, it should be cautious for application in clinics since animal medicines can produce anaphylactic reactions particularly after veinous administration even with a tiny amount of venom.

Seismic Evaluation for Strainer in the Primary Cooling System (일차 냉각계통 스트레이너에 대한 내진 건전성 평가)

  • 정철섭
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.3
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    • pp.295-304
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    • 2000
  • To evaluate the structural integrity for the strainer under seismic loading the seismic analysis and design were performed for T-type strainer in accordance with ASME, Section Ⅲ, Class 3(ND). Since there are no specified design requirements for the strainer in ASME Code, the strainer body was analysed according to ND-3500, valve design. Flanged joints connected with PCS piping were designed according to ND-3658.3. And the criteria for the cover flange was governed by the Appendix XI. Both a frequency analysis and an equivalent static seismic analysis of the strainer were carried out using the finite element computer program, ANSYS. The frequency analysis results show the fundamental natural frequency is greater than 33Hz, thus justifying the use of the equivalent static analysis through which membrane and bending stresses are obtained in the critical points near the branch connection area. The results of the seismic evaluation fully satisfied with the structural acceptance criteria of the ASME Code. Accordingly the structural integrity on the strainer body and flanges were proved.

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Efficient Multiplication of Boolean Matrices and Algorithm for D-Class Computation (D-클래스 계산을 위한 불리언 행렬의 효율적 곱셈 및 알고리즘)

  • Han, Jae-Il;Shin, Bum-Joo
    • Journal of Korea Society of Industrial Information Systems
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    • v.12 no.2
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    • pp.68-78
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    • 2007
  • D-class is defined as a set of equivalent $n{\times}n$ boolean matrices according to a given equivalence relation. The D-class computation requires the multiplication of three boolean matrices for each of all possible triples of $n{\times}n$ boolean matrices. However, almost all the researches on boolean matrices focused on the efficient multiplication of only two boolean matrices and a few researches have recently been shown to deal with the multiplication of all boolean matrices. The paper suggests a mathematical theory that enables the efficient multiplication for all possible boolean matrix triples and the efficient computation of all D-classes, and discusses algorithms designed with the theory and their execution results.

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Safety classification for frequently-used herbal medicines inducing toxic metabolites (독성대사체를 생성하는 다빈도사용 한약재의 안전성등급화 - 천궁, 당귀, 감초, 숙지황을 중심으로 -)

  • Park, Yeong-Chul;Lee, Sundong
    • Journal of Society of Preventive Korean Medicine
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    • v.19 no.2
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    • pp.123-133
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    • 2015
  • The new formular for herbal medicine-safety classification in terms of evidence-based medicine was developed and applied to evaluate various herbal medicines in the previous study. This study is aimed to evaluate the frequently-used herbal medicines inducing toxic metabolites or reactive intermediates(RI), such as Ligusticum wallichii Franch, Angelica sinensis, Glycyrrhizae Radix, Rehmanniae Radix, based on 6 safety grades calculated from human equivalent dose(HED)-based MOS(margin of safety). HED-based MOS can be explained as the ratio of theoretical ALD(approximate lethal dose) of human as $LD_1$(lethal dose of 1%)/ clinical maximum dose as $ED_{99}$(Effective dose of 99%). The herbal medicine showing the ratio less than 1 belongs to Class 1, but the herbal medicine showing the ratio more than 500 belongs to Class 6 with the lowest toxicity. As a result, they were evaluated as class 2 for Angelica sinensis and Glycyrrhizae Radix, class 3 for Ligusticum wallichii Franch and Rehmanniae Radix. These resultant grades for 4 herbal medicines were lower than the grade expected under consideration that these herbal medicines are used very frequently in oriental clinics. These low grades would be due to their ingredients which is biotransformed to toxic metabolites.

A Legal Consideraton of License and Certified Qualification of Paramedics (응급구조사의 자격과 면허에 대한 소고)

  • Kang, Sun-Joo
    • The Korean Journal of Emergency Medical Services
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    • v.15 no.2
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    • pp.5-14
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    • 2011
  • Purpose: The aim of this study is to identify the legal concept of a license and a qualification for health care personnel. We analyze the appropriateness of the qualification for the first-class paramedics and the sufficiency of 3-year job experience in substitution for college level academic major. Method: We reviewed Laws on Healthcare which stipulate academic and career qualifications for healthcare personnel for whom college-level academic training and job experience to get a license. Results: There is no legal consideration which permits major and educational background substituted by job experience. Only third-class hygienist who graduated from a high school or the equivalent with 3 year job experience can apply for first-class hygienist' national license examination without educational requirements. However, it is nothing to compare with first-class paramedics because the work of hygienist is not directly related to patients care and there is no need of doctor's supervision for hygienist' job. Paramedics have a major role in saving emergency patients in making prompt decision, applying appropriate emergency treatment, securing intravenous route, managing intubation, applying defibrillator, and etc. Conclusion: Ministry of Health & Welfare should grant license to paramedics and annul replacement of academic major background. In addition, it is imperative to broaden the scope of paramedics' job so that they can guarantee patient's life saving in emergency situation with quality major curriculum of college level.