• 제목/요약/키워드: Fully numbers

검색결과 162건 처리시간 0.019초

NUMERICAL INVESTIGATION OF ZEROS OF THE FULLY q-POLY-EULER NUMBERS AND POLYNOMIALS OF THE SECOND TYPE

  • JUNG YOOG KANG
    • Journal of Applied and Pure Mathematics
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    • 제5권5_6호
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    • pp.375-387
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    • 2023
  • In this paper, we construct a fully modified q-poly-Euler numbers and polynomials of the second type and give some properties. Finally, we investigate the zeros of the fully modified q-poly-Euler numbers and polynomials of the second type by using computer.

FULLY MODIFIED (p, q)-POLY-TANGENT POLYNOMIALS WITH TWO VARIABLES

  • N.S. JUNG;C.S. RYOO
    • Journal of applied mathematics & informatics
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    • 제41권4호
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    • pp.753-763
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    • 2023
  • In this paper, we introduce a fully modified (p, q)-poly tangent polynomials and numbers of the first type. We investigate analytic properties that is related with (p, q)-Gaussian binomial coefficients. We also define (p, q)-Stirling numbers of the second kind and fully modified (p, q)-poly tangent polynomials and numbers of the first type with two variables. Moreover, we derive some identities are concerned with the modified tangent polynomials and the (p, q)-Stirling numbers.

ON FULLY MODIFIED q-POLY-EULER NUMBERS AND POLYNOMIALS

  • C.S. RYOO
    • Journal of Applied and Pure Mathematics
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    • 제6권1_2호
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    • pp.1-11
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    • 2024
  • In this paper, we define a new fully modified q-poly-Euler numbers and polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.

A NEW METHOD FOR SOLVING FUZZY SHORTEST PATH PROBLEMS

  • Kumar, Amit;Kaur, Manjot
    • Journal of applied mathematics & informatics
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    • 제30권3_4호
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    • pp.571-591
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    • 2012
  • To the best of our knowledge, there is no method, in the literature, to find the fuzzy optimal solution of fully fuzzy shortest path (FFSP) problems i.e., shortest path (SP) problems in which all the parameters are represented by fuzzy numbers. In this paper, a new method is proposed to find the fuzzy optimal solution of FFSP problems. Kumar and Kaur [Methods for solving unbalanced fuzzy transportation problems, Operational Research-An International Journal, 2010 (DOI 10.1007/s 12351-010-0101-3)] proposed a new method with new representation, named as JMD representation, of trapezoidal fuzzy numbers for solving fully fuzzy transportation problems and shown that it is better to solve fully fuzzy transportation problems by using proposed method with JMD representation as compare to proposed method with the existing representation. On the same direction in this paper a new method is proposed to find the solution of FFSP problems and it is shown that it is also better to solve FFSP problems with JMD representation as compare to existing representation. To show the advantages of proposed method with this representation over proposed method with other existing representations. A FFSP problem solved by using proposed method with JMD representation as well as proposed method with other existing representations and the obtained results are compared.

원관내 Bingham Plastic의 층류 대류 열전달(1)해석적 연구-완전발달유동과 온도분포 발달유동(확장된 그래츠문제) (Laminar Convective Heat Transfer of a Bingham Plastic in a Circular Pipe(I) Analytical approach- thermally fully developed flow and thermally develping flow(the Graetz problem extended))

  • 민태기;유정열;최해천
    • 대한기계학회논문집B
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    • 제20권12호
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    • pp.3991-4002
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    • 1996
  • Thermally fully developed and thermally developing laminar flows of a Bingham plastic in a circular pipe have been studied analytically. For thermally fully developed flow, the Nusselt numbers and temperature profiles are presented in terms of the yield stress and Peclet number, proposing a correlation formula between the Nusselt number and the Peclet number. The solution to the Graetz problem has been obtained by using the method of separation of variables, where the resulting eigenvalue problem is solved approximately by using the method of weighted residuals. The effects of the yield stress, Peclet and Brinkman numbers on the Nusselt number are discussed.

CFD에 의한 2차원 밀폐캐비티의 임계레이놀즈수에 관한 연구 (A Study on Critical Reynolds Numbers of Two-Dimensional Closed Cavity by CFD)

  • 김진구;조대환;이영호
    • 한국해양공학회지
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    • 제11권4호
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    • pp.122-129
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    • 1997
  • Flow characteristics of two-dimensional closed square cavities near unsteady critical Reynolds numbers were studied numerically at five Reynolds numbers : 8${\times}10^3$, 8.5${\times}10^3$, 9${\times}10^3$, 9.5${\times}10^3$ and $10^4$ were investigated. A convection conservative difference scheme based upon SOLA to maintain the nearly 2nd-order spatial accuracy was adopted on irregular grid formation. Irregular grid number is 80${\times}$80 and its minimum size is about 1/400 of the cavity height(H) and its maximum is about 1/53 H. The result shows that the critical Reynolds number indicating the emergence of flow unsteadiness exists near Re=8.5${\times}10^3$ and their flow patterns reveal periodic fluctuation during transient and fully-developed stages.

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2차원의 밀폐캐비티의 비정상 임계레이놀즈수 근방의 유동특성 (Flow Characteristics of Two-Dimensional Closed Cavity near Unsteady Critical Reynolds Numbers)

  • 김진구;김춘식;이영호
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권5호
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    • pp.22-29
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    • 1996
  • Flow characteristics of two-dimensional closed square cavities near unsteady critical Reynolds numbers were studied numerically at four Reynolds numbers : $8{\times}10^3,\;8.5{\times}10^3,\;9{\times}10^3\;and\;9.5{\times}10^3.$ A convection conservative difference scheme based upon SOLA to maintain the nearly 2nd-order spatial accuracy is adopted on irregular grid formation. Irregular grid number is $80{\times}80$ and its minimum size is about 1/400 of the cavity height(H) and its maximum is about 1/53 H. The result shows that the critical Reynolds number indicating the emergence of flow wnsteadiness is ranging from Re=$8{\times}10^3\;to\;8.5{\times}10^3$ and their flow patterns reveal periodic fluctuation during transient and fully developed stages. But macroscopic flow behavior in terms of instantaneous and time-mean characteristics represent remarkable difference.

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건선의 조직소견과 비만세포수의 변화 (Study of Relationship between Histologic Findings and Variation of Number of Mast Cell in Psoriasis)

  • 문병천;최종수;김기홍;이태숙
    • Journal of Yeungnam Medical Science
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    • 제4권1호
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    • pp.49-57
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    • 1987
  • 건선병변의 조직소견과 비만세포의 수적 변화를 비교하여 건선의 병리조직 형성 비만세포가 관여하는지를 알고자 본 연구를 시행하였다. 임상적인 특징으로 진단된 건선 환자중 일주일 이상 전신치료를 받지 않은 60례를 대상으로 하였다. 병변의 성숙도에 따른 병리조직적인 변화 및 유두상진피와 표피직하부 진피내의 비만세포의 수를 측정하여 다음과 같은 결과를 얻었다. 1. 건선병변에서 표피의 변화중 이상각화증과 극세포증이 초기병변과 성숙병변에서 차이를 보였다. 초기병변에서는 이상각화증이 부분적으로(mounds)나타났으나 성숙병변에서는 융합되어(confluent)나타났다. 극세포증은 초기병변에서는 경도내지 중등도의 분포를 보였고 성숙병변에서는 중등도내지 고도의 분포를 보였다. 진피의 변화중 유두종증이 초기병변과 성숙병변에서 차이가 있었으며 초기병변에서는 정상범위에서 중등도의 분포를 보였고 성숙병변에서는 중등도내지 고도의 분포를 보였다. 2. 표피의 극세포증이 심할수록 진피의 유두종증도 심하였다. 극세포증, 유두종증, 이상각화증이 심할수록 유두부내의 비만세포의 수는 증가하였다(p<0.01). 3. 유두상 진피내의 비만세포의 수는 성숙병변에서 초기병변보다 증가하였다. 이상의 소견으로 미루어 비만세포는 건선병변 형성에 직접 관여할 것으로 사료된다.

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완전동형암호로 암호화된 데이터에 적합한 산술 가산기의 구현 및 성능향상에 관한 연구 (Implementation and Performance Enhancement of Arithmetic Adder for Fully Homomorphic Encrypted Data)

  • 서경진;김평;이윤호
    • 정보보호학회논문지
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    • 제27권3호
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    • pp.413-426
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    • 2017
  • 본 연구에서는 완전동형암호로 암호화된 데이터에 적용할 수 있는 가산기 및 다수개의 데이터를 가산할 때 적용할 수 있는 성능이 향상된 가산 방법을 제안한다. 제안 산술 가산기는 기존의 하드웨어 기반의 산술 가산기 중 최적 회로단계(level)를 가지는 Kogge-Stone Adder 방법을 기반으로 하며, 완전동형암호가 제공하는 암호학적 SIMD(Single Instruction for Multiple Data) 기법을 적용하기에 적합하게 설계되었다. 제안한 다수 가산 방법은 완벽한 가산 결과를 보장하는 Kogge-Stone Adder를 반복적으로 사용하여 다수개의 데이터를 가산하지 않고, 3개 이상의 수를 더해야 할 경우, Full-Adder를 이용하여 3개의 수를 최종 C(Carry-out)과 논리합의 결과인 S(Sum) 의 두 개로 줄인다. 이러한 과정을 반복하여 최종적으로 두 개의 수를 더할 경우에만 Kogge-Stone Adder를 사용하여 가산하는 방법이다. 제안 방법은 더하고자 하는 데이터의 개수가 많아질수록 성능이 비약적으로 향상되었고, 이를 실험을 통해 검증한다.