• 제목/요약/키워드: Hahn's operator

검색결과 5건 처리시간 0.016초

On $\delta$ -semiclassical orthogonal polynomials

  • K. H. Kwon;Lee, D. W.;Park, S. B.
    • 대한수학회보
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    • 제34권1호
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    • pp.63-79
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    • 1997
  • Consider an oparator equation of the form : $$ (1.1) H[y](x) = \alpha(x)\delta^2 y(x) + \beta(x)\delta y(x) = \lambda_n y(x), $$ where $\alphs(x)$ and $\beta(x)$ are polynomials of degree at most two and one respectively, $\lambda_n$ is the eigenvalue parameter, and $\delta$ is Hahn's operator $$ (1.2) \delta f(x) = \frac{(q - 1)x + \omega}{f(qx + \omega) - f(x)}, $$ for real constants $q(\neq \pm 1)$ and $\omega$.

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On the Fine Spectrum of the Lower Triangular Matrix B(r, s) over the Hahn Sequence Space

  • Das, Rituparna
    • Kyungpook Mathematical Journal
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    • 제57권3호
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    • pp.441-455
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    • 2017
  • In this article we have determined the spectrum and fine spectrum of the lower triangular matrix B(r, s) on the Hahn sequence space h. We have also determined the approximate point spectrum, the defect spectrum and the compression spectrum of the operator B(r, s) on the sequence space h.

유전 알고리즘을 이용한 SS형 편향코일의 형상 최적화 (The Optimization Of SS-Type Deflection Yoke By Using Genetic Algorithm)

  • 주관정;윤인중;강병훈;조명철;한송엽;이홍배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1993년도 하계학술대회 논문집 B
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    • pp.971-973
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    • 1993
  • Deflection Yoke(the following, DY) is the important electric device of CRT which deflects R, G, B beans influencing magnetic field produced by yoke coils. Recently, DY is designed to the saddle/saddle type of coils, being proposed for high-definite and high-efficient CRT. This paper presents the optimization of pin-sectioned saddle coil's shape for minimizing gap between desired and practical deflections of electron beams by using Genetic Algorithm. Evolution Startegy is utilized in this paper, since evolution strategy is a kind of genetic algorithms finding the optimized values by choicing the better generation with comparing the parents and their children. Here, the children are generated by only mutations from the normal random variables. Evolution strategy has shown better powerful converge rate than the other genetic algorithms becuase of using only the mutation-operator.

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Air abrasive technique을 이용한 복합레진 수복 증례 (TREATMENT OF COMPOSITE RESIN RESTORATION WITH THE AIR ABRASIVE TECHNIQUE)

  • 이창우;장기택;이상훈;한세현
    • 대한소아치과학회지
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    • 제24권4호
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    • pp.763-770
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    • 1997
  • The air abrasive technique is a non-mechanical method by which teeth are treated before restoration and stains and calculi are removed from tooth surfaces using the kinetic energy of small particles. The air abrasive technique in dentistry was first introduced in the 1950's with as instrument called 'Airdent'. But, as the main restorative materials of the period were amalgam and gold, and the instrument's inability to control the flow of particles caused the particles to be spread throughout the clinics, widespread use was not possible. In the 1990's, as these techincal problems were solved and more interest in new restorative materials rose in an effort to preserve sound tooth structure, new developements took place in instruments related to the air abrasive technique. The air abrasive technique produces less pressure, vibration and heat that might cause patient discomfort and facilitates the preservation of sound tooth structure. It also reduces the need for anesthesia and is less harmful to the pulp. Other advantages include increase in dentin bonding strength of composite resin, lower possibility of saliva contamination and maintenance of a dry field. But there is not direct contact between the nozzle and the tooth, the operator cannot use his or her tactile sense and must rely solely upon visual input. Other disadvantages are: the tooth preparation depends on the operator's ability; alpha-alumina particles, after bouncing off the tooth surface, cause damage to dental mirrors; the equipment is expensive and takes up a certain amount of space in the clinic. The author conducted case report using the air abrasive technique on patient visiting the Department of Pediatric Dentistry at Seoul National University Dental Hospital and arrived at the following conclusions. 1. The tooth preparation capability of different air abrasive devices varied widely among manufacturers. 2. It was more effective in treating early caries lesions and stains compared to lesions where caries had already progressed to produce soft dentin. 3. The cold stream and noise caused by the evacuation system was a major cause of discomfort to pediatric patients. 4. As there is no direct contact with tooth surface when using the air abrasive technique for tooth preparation, considerable experience and skill is required for proper tooth preparation.

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예방적 레진수복의 미세누출에 관한 연구 (A STUDY ON MICROLEAKAGE OF PREVENTIVE RESIN RESTORATION)

  • 구현정;이상훈;한세현
    • 대한소아치과학회지
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    • 제28권3호
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    • pp.504-511
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    • 2001
  • 예방적 레진수복은 교합면 열구전색의 개념을 확대하여 초기우식에만 국한한 와동을 형성하여 복합레진으로 충전한 후 나머지 건전한 부위의 소와열구를 치면열구전색재로 도포하는 것이다. 충전제가 첨가된 치면열구전색재로서 작은 와동의 수복도 가능하다는 새로운 방법은 소아환자의 치료시 술자와 환자 모두에게 도움을 줄 수 있을 것이다. 그러나 예방적 레진수복을 시행하여 비교한 연구가 아직까지는 부족한 실정이다. 이에 저자들은 4가지 방법의 예방적 레진수복시의 미세누출을 비교해보고자 하였으며 레진수복만을 한 경우도 함께 비교하여 보았다. 55개의 상, 하악 소구치를 준비하여 I급와동을 교합면에 형성하고 다음과 같이 수복하였다. 제1군 : 와동을 복합레진(Z-100)으로 수복 제2군 : 와동을 복합레진(Z-100)으로 수복 중합후, 비충전 전색재인 Teethmate F-1으로 소와열구도포 제3군 : 와동을 복합레진(Z-100)으로 수복 중합후, 충전 전색재인 Ultraseal XT-plus로 소와열구도포 제4군 : 와동과 소와열구를 한 번에 Ultraseal XT-plus로 수복 제5군 : 와동과 소와열구를 나누어 Ultraseal XT-plus로 수복 위와 같이 처리한 치아를 $5^{\circ}C$$55^{\circ}C$의 수조에 번갈아 30초씩 500회의 열순환을 실시하고 1% methylene blue용액에 24시간 담근 후 수세하고 투명레진에 매몰하였다. 매몰된 치아를 협설측으로 치아장축방향으로 평행하게 절단한 후 입체현미경으로 염색용액의 침투정도를 관찰하여 다음의 결과를 얻었다. 1. 평균 미세누출은 4군에서 가장 높았고, 3군에서 가장 낮았다. 평균 미세누출은 4>1>5>2>3군의 순으로 감소하였다. 2. 군간의 미세누출 비교에서 1군은 5군과는 통계학적으로 유의한 차이가 없었으나 2군, 3군보다 유의하게 높은 미세누출을 보였고(p<0.05), 4군보다는 유의하게 낮은 미세누출을 보였다(p<0.05). 3. 2군은 3군과는 통계학적으로 유의한 차이가 없었으나 4군, 5군보다는 유의하게 낮은 미세누출을 보였다(p<0.05). 4. 3군은 4, 5군보다 통계학적으로 유의하게 낮은 미세누출을 보였다(p<0.05). 5. 5군은 4군보다 통계학적으로 유의하게 낮은 미세누출을 보였다(p<0.05).

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