• Title/Summary/Keyword: H Class

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A Dual Problem and Duality Theorems for Average Shadow Prices in Mathematical Programming

  • Cho, Seong-Cheol
    • Journal of the Korean Operations Research and Management Science Society
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    • v.18 no.2
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    • pp.147-156
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    • 1993
  • Recently a new concept of shadow prices, called average shadow price, has been developed. This paper provides a dual problem and the corresponding duality theorems justifying this new shadow price. The general duality framework is used. As an important secondary result, a new reduced class of price function, the pp. h.-class, has been developed for the general duality theory. This should be distinguished from other known reductions achieved in some specific areas of mathematical programming, in that it sustains the strong duality property in all the mathematical programs. The new general dual problem suggested with this pp. h.-class provides, as an optimal solution, the average shadow prices.

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ON THE IDEAL CLASS GROUPS OF ℤp-EXTENSIONS OVER REAL ABELIAN FIELDS

  • Kim, Jae Moon;Ryu, Ja Do
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.227-233
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    • 1999
  • Let $k$ be a real abelian field and $k_{\infty}={\bigcup}_{n{\geq}0}k_n$ be its $\mathbb{Z}_p$-extension for an odd prime $p$. For each $n{\geq}0$, we denote the class number of $k_n$ by $h_n$. The following is a well known theorem: Theorem. Suppose $p$ remains inert in $k$ and the prime ideal of $k$ above $p$ totally ramifies in $k_{\infty}$. Then $p{\nmid}h_0$ if and only if $p{\nmid}h_n$ for all $n{\geq}0$. The aim of this paper is to generalize above theorem: Theorem 1. Suppose $H^1(G_n,E_n){\simeq}(\mathbb{Z}/p^n\mathbb{Z})^l$, where $l$ is the number of prime ideals of $k$ above $p$. Then $p{\nmid}h_0$ if and only if $p{\nmid}h_n$. Theorem 2. Let $k$ be a real quadratic field. Suppose that $H^1(G_1,E_1){\simeq}(\mathbb{Z}/p\mathbb{Z})^l$. Then $p{\nmid}h_0$ if and only if $p{\nmid}h_n$ for all $n{\geq}0$.

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ON SPECTRAL CONTINUITIES AND TENSOR PRODUCTS OF OPERATORS

  • Kim, In Hyoun
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.1
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    • pp.113-119
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    • 2011
  • Let T be a bounded linear operator on a complex Hilbert space $\mathcal{H}$. An operator T is called class A operator if ${\left|{T^2}\right|}{\geq}{\left|{T^2}\right|}$ and is called class A(k) operator if $({T^*\left|T\right|^{2k}T})^{\frac{1}{k+1}}{\geq}{\left|T\right|}^2$. In this paper, we show that ${\sigma}$ is continuous when restricted to the set of class A operators and consider the tensor products of class A(k) operators.

Analysis and Design of Class E High Efficiency Power Amplifier for SONAR System (Class E 기법을 이용한 소나용 고효율 전력증폭기 분석 및 설계)

  • Lee, Y.S.;Oh, K.T.;Ku, H.C.;Mok, H.S.;Hur, J.;Lee, K.Y.
    • Proceedings of the KIPE Conference
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    • 2007.11a
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    • pp.79-81
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    • 2007
  • 본 논문에서는 소나용 고출력 전력증폭기의 효율을 향상시키기 위하여 Class E 설계 기법을 분석하고 소나 시스템의 송신기에 적용하였다. Class E 기법에 기반하여 전력소자를 스위칭 모드로 동작시켜서 Zero Voltage Switching(ZVS)이 발생하도록 회로를 설계함으로써 전력 소자의 전력 손실을 최소화하고 전력 증폭기의 효율을 최대화하여 주었다. 설계된 Class E 기법의 전력 증폭기의 동작 및 타당성을 시뮬레이션을 통하여 검증하였다.

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Design of One-Class Classifier Using Hyper-Rectangles (Hyper-Rectangles를 이용한 단일 분류기 설계)

  • Jeong, In Kyo;Choi, Jin Young
    • Journal of Korean Institute of Industrial Engineers
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    • v.41 no.5
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    • pp.439-446
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    • 2015
  • Recently, the importance of one-class classification problem is more increasing. However, most of existing algorithms have the limitation on providing the information that effects on the prediction of the target value. Motivated by this remark, in this paper, we suggest an efficient one-class classifier using hyper-rectangles (H-RTGLs) that can be produced from intervals including observations. Specifically, we generate intervals for each feature and integrate them. For generating intervals, we consider two approaches : (i) interval merging and (ii) clustering. We evaluate the performance of the suggested methods by computing classification accuracy using area under the roc curve and compare them with other one-class classification algorithms using four datasets from UCI repository. Since H-RTGLs constructed for a given data set enable classification factors to be visible, we can discern which features effect on the classification result and extract patterns that a data set originally has.

SPHERICAL FUNCTIONS ON PROJECTIVE CLASS ALGEBRAS

  • Choi, Eun-Mi
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.1
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    • pp.189-212
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    • 2006
  • Let $F^{\alpha}G$ be a twisted group algebra with basis ${{\mu}g|g\;{\in}\;G}$ and $P\;=\;{C_g|g\;{\in}\;G}$ be a partition of G. A projective class algebra associated with P is a subalgebra of $F^{\alpha}G$ generated by all class sums $\sum\limits{_{x{\in}C_g}}\;{\mu}_x$. A main object of the paper is to find interrelationships of projective class algebras in $F^{\alpha}G$ and in $F^{\alpha}H$ for H < G. And the a-spherical function will play an important role for the purpose. We find functional properties of a-spherical functions and investigate roles of $\alpha-spherical$ functions as characters of projective class algebras.

Development of Optical CT and PT using BSO Single Crystal (BSO를 이용한 광CT, PT 개발)

  • Shin, K.H.;Lee, B.K.;Cho, H.K.;Kim, Y.H.;Kim, Y.S.;Park, H.S.
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.491-494
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    • 1992
  • This paper described the development example of optical CT(Current Transformer) and optical PT (Potential Transformer) which is measurement system of current and voltage of electric power line using Electro-Optic effect and Magneto-Optic effect. We designed the optical CT of 22KV class and 154KV class and an optical PT of 22KV class. And now the filed testing is in progress in a KEPCO's substation.

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STUDY OF SOME GENERALIZED h-VARIATIONAL INEQUALITY PROBLEMS IN H-PSEUDOSPACE

  • Das, Prasanta K.;Mishra, Satya N.;Samal, Sapan K.
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.3
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    • pp.475-496
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    • 2021
  • The main aim is to define a new class of generalized h-variational inequality problems and its generalized h-variational inequality problems. We define the class of h-𝜂-invex set, h-𝜂-invex function and H-pseudospace. Existence of the solution of the problems are established in H-pseudospace with the help of H-KKM mapping theorem and HC*-condition of 𝜂 associated with the function h.

Development of Blade on 9㎥ Class of Mixer Drum (9㎥급 믹서드럼 블레이드의 개발)

  • Shin, H.G.;Choi, H.C.;Bean, D.H.;Kim, Y.C.
    • Journal of the Korean Society of Mechanical Technology
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    • v.13 no.3
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    • pp.65-71
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    • 2011
  • The concrete mixer truck which is in charge of raw materials in civil engineering construction of the concrete loading, transport, placement, is used $6m^3$, $7m^3$ class in domestic(Korea). But in the case of the international construction fields are utilized $9m^3$ or above class because of the large-scale engineering and construction circumstances. In this paper, to develop a large $9m^3$ class mixer drum and the mixer drum in order to complement the technical and discharge that is responsible for stirring the blades by applying optimal design through implementation of the optimal shape of the concrete in the drum maintenance and placement of high-quality effects on increasing discharge such as advanced conventional drum mixer is to secure and differentiated technology. Large, heavy weight in development and uphold the drum mixer vehicle sub-frame is required to settle the design of the existing class mixer drum frames per $6m^3$ changed to account for changes in slope and length using CATIA V5 3D modeling work was performed.

Identification of a Novel Cassette Array in Integron-bearing Helicobacter Pylori Strains Isolated from Iranian Patients

  • Goudarzi, Mehdi;Seyedjavadi, Sima Sadat;Fazeli, Maryam;Roshani, Maryam;Azad, Mehdi;Heidary, Mohsen;Navidinia, Masoumeh;Goudarzi, Hossein
    • Asian Pacific Journal of Cancer Prevention
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    • v.17 no.7
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    • pp.3309-3315
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    • 2016
  • Helicobacter pylori as the second most common cause of gastric cancer in the world infects approximately half of the developed countries population and 80% of the population living in developing countries. Integrons as genetic reservoirs play major roles in dissemination of antimicrobial resistance genes. To the best of our knowledge, this is the first study to report carriage of class 1 and 2 integrons and associated gene cassettes in H. pylori isolates from Iran. This cross-sectional study was conducted in Tehran among 110 patients with H. pylori infection. Antimicrobial susceptibility testing (AST) for H. pylori strains were assessed by the micro broth dilution method. Class 1 and 2 integrons were detected using PCR. In order to determine gene cassettes, amplified fragments were subjected to DNA sequencing of both amplicon strands. The prevalence of resistance to clarithromycin, metronidazole, clarithromycin, tetracycline, amoxicillin, rifampin, and levofloxacin were 68.2% (n=75), 25.5% (n=28), 24.5% (n=27), 19.1% (n=21), 18.2% (n=20) and 16.4% (n=18), respectively. Frequency of multidrug resistance among H. pylori isolates was 12.7%. Class 2 integron was detected in 50 (45.5%) and class 1 integron in 10 (9.1%) H. pylori isolates. The most predominant gene cassette arrays in class 2 integron-bearing H. pylori were included sat-era-aadA1, dfrA1-sat2-aadA1, blaoxa2 and, aadB whereas common gene cassette arrays in class 1 integron were aadB-aadA1-cmlA6, aacA4, blaoxa2, and catB3. The high frequency of class 2 integron and multidrug resistance in the present study should be considered as a warning for clinicians that continuous surveillance is necessary to prevent the further spread of resistant isolates.