• Title/Summary/Keyword: P-Q theory

Search Result 145, Processing Time 0.025 seconds

EXPRESSIONS OF MEROMORPHIC SOLUTIONS OF A CERTAIN TYPE OF NONLINEAR COMPLEX DIFFERENTIAL EQUATIONS

  • Chen, Jun-Fan;Lian, Gui
    • Bulletin of the Korean Mathematical Society
    • /
    • v.57 no.4
    • /
    • pp.1061-1073
    • /
    • 2020
  • In this paper, the expressions of meromorphic solutions of the following nonlinear complex differential equation of the form $$f^n+Qd(z,f)=\sum\limits_{i=1}^{3}pi(z)e^{{\alpha}_i(z)}$$ are studied by using Nevanlinna theory, where n ≥ 5 is an integer, Qd(z, f) is a differential polynomial in f of degree d ≤ n - 4 with rational functions as its coefficients, p1(z), p2(z), p3(z) are non-vanishing rational functions, and α1(z), α2(z), α3(z) are nonconstant polynomials such that α'1(z), α'2(z), α'3(z) are distinct each other. Moreover, examples are given to illustrate the accuracy of the condition.

A Study on the Function Evaluation using Q. F. D and A. H. P (품질기능전개(品質機能展開)와 A. H. P기법(技法)을 이용(利用)한 기능평가(機能評價))

  • Park, No-Guk;Mun, Hui-Yeong;Song, Mun-Ik
    • Journal of Korean Society for Quality Management
    • /
    • v.21 no.2
    • /
    • pp.85-92
    • /
    • 1993
  • This study aimed at the improvement of the conventional methods of Velue Engineering Function Analysis, the most important phase of VE processes, through Quality Function Development and Analytic Hierarchy Process. This study was performed in both theory and study. In the theoretical study, the necessity and the fitness of the connection between VE and QC techniques were studied. The use of Function Requirement Coefficients in Quality Function Development makes the more objective Function Evaluation possible.

  • PDF

INCLUSION AND INTERSECTION THEOREMS WITH APPLICATIONS IN EQUILIBRIUM THEORY IN G-CONVEX SPACES

  • Balaj, Mircea;O'Regan, Donal
    • Journal of the Korean Mathematical Society
    • /
    • v.47 no.5
    • /
    • pp.1017-1029
    • /
    • 2010
  • In this paper we obtain a very general theorem of $\rho$-compatibility for three multivalued mappings, one of them from the class $\mathfrak{B}$. More exactly, we show that given a G-convex space Y, two topological spaces X and Z, a (binary) relation $\rho$ on $2^Z$ and three mappings P : X $\multimap$ Z, Q : Y $\multimap$ Z and $T\;{\in}\;\mathfrak{B}$(Y,X) satisfying a set of conditions we can find ($\widetilde{x},\;\widetilde{y}$) ${\in}$ $X\;{\times}\;Y$ such that $\widetilde{x}\;{\in}\;T(\widetilde{y})$ and $P(\widetilde{x}){\rho}\;Q(\widetilde{y})$. Two particular cases of this general result will be then used to establish existence theorems for the solutions of some general equilibrium problems.

A Study on the Expansion of RSA Public Key Cryptosystem (RSA 공개키이 암호방식의 확장에 관한 연구)

  • 이지영;안영화;윤석창;원동호;김병찬
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.12 no.6
    • /
    • pp.563-570
    • /
    • 1987
  • In this paper a new RSA public-key cryptosystem which expands conventional RSA pubilc-key cryptosystem is suggested. The number of multiplication times is increased by expanding the modulus parameters p, q which are the foundation of ciphering. As a result tha amount of calculation which required in cryptoanalysis is increased, and we could improve strength of RSA public-key cryptography through a proof based on integral number theory.

  • PDF

Characteristic Comparison Analysis for Standard and High-Efficiency Induction Motor (일반 및 고효율 유도 전동기의 특성 비교 해석)

  • Kim, Jong-Gyeum
    • The Transactions of the Korean Institute of Electrical Engineers P
    • /
    • v.56 no.4
    • /
    • pp.186-190
    • /
    • 2007
  • This paper presents an analysis on the power characteristics of standard and high-efficiency induction motor. The parameter of induction motor play an important role in the expression of machine's performance characteristics. Induction motor can be differently found its characteristics parameters with the operation under the same capacity. So it is very difficult to detect correct parameter of induction motor. For the analysis, we discovered the motor parameters by the technical program with nameplate data. In this paper, we analyzed that how power and torque characteristics of induction motor would be changed for two kinds of motor parameters.

Statistical Thermodynamical Approach to Physical Adsorption (물리흡착에 관한 통계열역학적 연구)

  • Chang Seihun;Park Hyungsuk;Lee Jo W.;Park, Seong Ju
    • Journal of the Korean Chemical Society
    • /
    • v.21 no.5
    • /
    • pp.353-361
    • /
    • 1977
  • In this paper we propose a new theory of multilayer physical adsorption based on the view that a second or higher layer molecule will be adsorbed above the center of a square or triangular array of molecules, rather than on top of molecules themselves, in the next lower layer and the corresponding adsorption isotherm is derived. The derived isotherm contains three adjustable parameters; $v_m$ (monolayer capacity), q/$q_1$ (ratio of the molecular partition function for the second or higher layer vs. that for the first layer) and n (a parameter characterizing the piling pattern of adsorbed molecules). When applied to adsorption of argon on "Carbolac" carbon and nitrogen on Linde silica, excellent agreements between observed and calculated values are obtained up to p/$p_0$ = 0.8. In both cases n = 3 gives the best fit and this probably indicates that adsorbed molecules are piled up in a closest packing pattern.

  • PDF

A Study on Analysis of Design Thinking Type based on Brain Conjugation Area (두뇌활용영역에 따른 디자인 사고 유형 분석에 관한 연구)

  • Seok, Jae-Heuck;Han, Jung-Wan
    • Journal of Digital Convergence
    • /
    • v.14 no.7
    • /
    • pp.355-362
    • /
    • 2016
  • This research analyzed 'esquisse', that is one of among the visual representation tools of designers in design-thinking process. They were classified into five different types(M, N, O, P, Q) and categorized about preferred type of brain dominance area based on Ned Herrmann's 'Brain 4 division theory'. By contrasting and analyzing five types of sketch tendencies and brain tendencies through Structural left -brain type(M), Emotional limbic-brain type(N), Visual right-brain type(O), Plane expressional right-brain type(P) and Text expressional right-brain type(Q), it was deduced that which utilization the designer with each brain type with various Styles and characteristics shows internally in the design thinking process can be analyzed.

A Study on the Perception of Travel YouTube Title: Focusing on the Group of Generation Z (여행 유튜브 제목에 대한 Z세대의 인식 유형 연구)

  • Choi, Won Joo;Hong, Jang Sun
    • The Journal of the Convergence on Culture Technology
    • /
    • v.8 no.6
    • /
    • pp.175-184
    • /
    • 2022
  • Travel YouTubers who cross the boundary between tradition and novelty communicate by sharing their activities with others through SNS-based media. Media content should not only satisfy individuals, nor should it be too purpose-oriented. YouTube channels should be operated so that users can easily access content naturally, and more diverse methods can be pursued based on usage patterns and satisfaction theory. This study is about the type of perception of Generation Z on travel YouTube titles. As a result of conducting QUANL program analysis on 34 Q samples and 28 P samples from the Q methodological perspective, a total of three types were found. For types with unique characteristics, the first type was named "attention of keywords that draw imagination," the second type was "preferred to stories that stimulate curiosity," and the third type was "image satisfaction reflecting expectations." In addition, considering the characteristics of each type found, the scalability and strategic plan of the activities that Generation Z travel YouTubers want to unfold were presented.

FOURTH ORDER ELLIPTIC BOUNDARY VALUE PROBLEM WITH SQUARE GROWTH NONLINEARITY

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
    • /
    • v.18 no.3
    • /
    • pp.323-334
    • /
    • 2010
  • We give a theorem for the existence of at least three solutions for the fourth order elliptic boundary value problem with the square growth variable coefficient nonlinear term. We use the variational reduction method and the critical point theory for the associated functional on the finite dimensional subspace to prove our main result. We investigate the shape of the graph of the associated functional on the finite dimensional subspace, (P.S.) condition and the behavior of the associated functional in the neighborhood of the origin on the finite dimensional reduction subspace.

THE NUMBER OF THE CRITICAL POINTS OF THE STRONGLY INDEFINITE FUNCTIONAL WITH ONE PAIR OF THE TORUS-SPHERE VARIATIONAL LINKING SUBLEVELS

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
    • /
    • v.16 no.4
    • /
    • pp.527-535
    • /
    • 2008
  • Let $I{\in}C^{1,1}$ be a strongly indefinite functional defined on a Hilbert space H. We investigate the number of the critical points of I when I satisfies one pair of Torus-Sphere variational linking inequality. We show that I has at least two critical points when I satisfies one pair of Torus-Sphere variational linking inequality with $(P.S.)^*_c$ condition. We prove this result by use of the limit relative category and critical point theory on the manifold with boundary.

  • PDF