• 제목/요약/키워드: difference operator

검색결과 285건 처리시간 0.025초

THE p-LAPLACIAN OPERATORS WITH POTENTIAL TERMS

  • Chung, Soon-Yeong;Lee, Hee-Soo
    • 대한수학회논문집
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    • 제26권4호
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    • pp.591-601
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    • 2011
  • In this paper, we deal with the discrete p-Laplacian operators with a potential term having the smallest nonnegative eigenvalue. Such operators are classified as its smallest eigenvalue is positive or zero. We discuss differences between them such as an existence of solutions of p-Laplacian equations on networks and properties of the energy functional. Also, we give some examples of Poisson equations which suggest a difference between linear types and nonlinear types. Finally, we study characteristics of the set of a potential those involving operator has the smallest positive eigenvalue.

ON A CLASS OF q-BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER RELATED TO SHELL-LIKE CURVES CONNECTED WITH THE FIBONACCI NUMBERS

  • Ahuja, Om P.;Cetinkaya, Asena;Bohra, Nisha
    • 호남수학학술지
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    • 제42권2호
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    • pp.319-330
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    • 2020
  • We introduce a new subclass of q-bi-univalent functions of complex order related to shell-like curves connected with the Fibonacci numbers. We obtain the coefficient estimates and Fekete-Szegö inequalities for the functions belonging to this class. Relevant connections with various other known classes have been illustrated.

General problem solver를 이용한 intelligent LP 모형화에 대한 연구

  • 박성주;권오병
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 1991년도 춘계공동학술대회 발표논문 및 초록집; 전북대학교, 전주; 26-27 Apr. 1991
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    • pp.469-474
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    • 1991
  • Recent interests in intelligent LP modeling aim to support MS/OR-naive users to be able to apply LP models to practical problems without the expert knowledges required. For more generalized LP modeling, a GPS(General Problem Solver)-based approach is suggested in this paper. It identifies modeling process as a means-ends analysis process. In view of this approach, a) we first divide the knowledges into domain specific assertive knowledges(state) and procedural knowledges about LP modeling(operator and macro) for model-domain independence, b) and then generate LP model according to the difference resolution techniques.

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G/M/1 QUEUES WITH ERLANGIAN VACATIONS

  • Park, Bong-Dae;Han, Dong-Hwan
    • 대한수학회논문집
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    • 제10권2호
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    • pp.443-460
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    • 1995
  • We consider a G/M/1 vacation model where the vacation time has k-stages generalized Erlang distribution. By using the methods of the shift operator and supplementary variable, we explicitly obtain the limiting probabilities of the queue length at arrival time points and arbitrary time points simultaneously. Operational calculus technique is used for solving non-homogeneous difference equations.

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A GENERALIZED ADDITIVE-QUARTIC FUNCTIONAL EQUATION AND ITS STABILITY

  • HENGKRAWIT, CHARINTHIP;THANYACHAROEN, ANURK
    • 대한수학회보
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    • 제52권6호
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    • pp.1759-1776
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    • 2015
  • We determine the general solution of the generalized additive-quartic functional equation f(x + 3y) + f(x - 3y) + f(x + 2y) + f(x - 2y) + 22f(x) - 13 [f(x + y) + f(x - y)] + 24f(y) - 12f(2y) = 0 without assuming any regularity conditions on the unknown function f : ${\mathbb{R}}{\rightarrow}{\mathbb{R}}$ and its stability is investigated.

적응 제어기의 강인성 개선 및 시뮬레이션 (Improvement of the Robustness and Simulatins of Adaptive Control)

  • 허명준;김국헌;양흥석
    • 대한전기학회논문지
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    • 제38권4호
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    • pp.298-306
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    • 1989
  • Robustness of adaptive pole-placement control against unmodeled dynamics is proved. This proof is done by showing that the sufficient condition for robustness, conic condition and stability of a specific operator, is satisfied for a larger set of unmodeled dynamics. The simulation results show the proposed method is quite powerful. And the difference between the concept of the pseudoplant control and the known internal model control is shown by the closed loop analysis.

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A NOTE ON NUMERICAL APPROACHES FOR HEAT-DIFFUSION EQUATION WITH HETEROGENEOUS MEDIA AND ITS APPLICATIONS

  • Seo, Sat byul
    • East Asian mathematical journal
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    • 제35권1호
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    • pp.99-108
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    • 2019
  • In this paper, we introduce a numerical approach to solve heat-diffusion equation with discontinuous diffusion coefficients in the three dimensional rectangular domain. First, we study the support operator method and suggest a new method, the continuous velocity method. Further, we apply both methods to a diffusion process for neurotransmitter release in an individual synapse and compare their results.

고차 미분에너지 기반 노인 음성에서의 음성 구간 검출 알고리즘 연구 (Development of Voice Activity Detection Algorithm for Elderly Voice based on the Higher Order Differential Energy Operator)

  • 이지연
    • 디지털융복합연구
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    • 제14권11호
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    • pp.249-255
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    • 2016
  • 노인 음성은 연령에 따른 호흡, 발성, 공명 등의 생리적 변화에 의하여 다량의 잡음이 발생된다. 따라서 노인 음성으로 음성인식 및 합성, 분석 소프트웨어등과 같은 융복합 헬스케어 기기를 동작시키고자 할 때, 성능을 저하시키는 결과를 야기한다. 그러므로 노인 음성을 분석하여 그들의 목소리로 다양한 헬스케어 기기를 잘 운영할 수 있는 위한 연구 개발이 필요하다. 따라서 본 연구는 노인 음성 잡음을 고려하여 기존의 대칭 구조 고차 미분 에너지 함수를 이용하여 노인 음성에서의 음성 구간 검출 알고리즘을 연구하였으며, 자기상관함수와 AMDF 방법과 비교하여 노인 음성에서의 음성 구간 검출에 보다 우수한 성능을 가지는 것을 확인하였다. 본 논문에서 제시하는 음성 구간 검출 알고리즘은 노인을 위한 음성 인터페이스에 적용함으로써 노인들의 스마트 기기에의 접근성을 높이고, 더 나아가 노인들을 위한 융복합 웨어러블 디바이스 성능 개선 및 다양한 개발이 가능할 것으로 전망한다.

Comparison of accuracy between free-hand and surgical guide implant placement among experienced and non-experienced dental implant practitioners: an in vitro study

  • Dler Raouf Hama;Bayad Jaza Mahmood
    • Journal of Periodontal and Implant Science
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    • 제53권5호
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    • pp.388-401
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    • 2023
  • Purpose: This study investigated the accuracy of free-hand implant surgery performed by an experienced operator compared to static guided implant surgery performed by an inexperienced operator on an anterior maxillary dental model arch. Methods: A maxillary dental model with missing teeth (No. 11, 22, and 23) was used for this in vitro study. An intraoral scan was performed on the model, with the resulting digital impression exported as a stereolithography file. Next, a cone-beam computed tomography (CBCT) scan was performed, with the resulting image exported as a Digital Imaging and Communications in Medicine file. Both files were imported into the RealGUIDE 5.0 dental implant planning software. Active Bio implants were selected to place into the model. A single stereolithographic 3-dimensional surgical guide was printed for all cases. Ten clinicians, divided into 2 groups, placed a total of 60 implants in 20 acrylic resin maxillary models. Due to the small sample size, the Mann-Whitney test was used to analyze mean values in the 2 groups. Statistical analyses were performed using SAS version 9.4. Results: The accuracy of implant placement using a surgical guide was significantly higher than that of free-hand implantation. The mean difference between the planned and actual implant positions at the apex was 0.68 mm for the experienced group using the free-hand technique and 0.14 mm for the non-experienced group using the surgical guide technique (P=0.019). At the top of the implant, the mean difference was 1.04 mm for the experienced group using the free-hand technique and 0.52 mm for the non-experienced group using the surgical guide technique (P=0.044). Conclusions: The data from this study will provide valuable insights for future studies, since in vitro studies should be conducted extensively in advance of retrospective or prospective studies to avoid burdening patients unnecessarily.