• Title/Summary/Keyword: complements

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THREE RESULTS ON TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS

  • Li, Nan;Yang, Lianzhong
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.795-814
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    • 2021
  • In this paper, we study the transcendental meromorphic solutions for the nonlinear differential equations: fn + P(f) = R(z)eα(z) and fn + P*(f) = p1(z)eα1(z) + p2(z)eα2(z) in the complex plane, where P(f) and P*(f) are differential polynomials in f of degree n - 1 with coefficients being small functions and rational functions respectively, R is a non-vanishing small function of f, α is a nonconstant entire function, p1, p2 are non-vanishing rational functions, and α1, α2 are nonconstant polynomials. Particularly, we consider the solutions of the second equation when p1, p2 are nonzero constants, and deg α1 = deg α2 = 1. Our results are improvements and complements of Liao ([9]), and Rong-Xu ([11]), etc., which partially answer a question proposed by Li ([7]).

ITERATIVE METHOD FOR SOLVING FINITE FAMILIES OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS OF CERTAIN MULTI-VALUED MAPPINGS

  • Olona, Musa Adewale;Narain, Ojen Kumar
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.1
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    • pp.149-167
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    • 2022
  • In this paper, we propose a viscosity iterative algorithm for approximating a common solution of finite family of variational inequality problem and fixed point problem for finite family of multi-valued type-one demicontractive mappings in real Hilbert spaces. A strong convergence result of the aforementioned problems were proved and some consequences of our result was also displayed. In addition, we discuss an application of our main result to convex minimization problem. The result presented in this article complements and extends many recent results in literature.

UNIQUENESS OF MEROMORPHIC SOLUTIONS OF A CERTAIN TYPE OF DIFFERENCE EQUATIONS

  • Chen, Jun-Fan;Lin, Shu-Qing
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.4
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    • pp.827-841
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    • 2022
  • In this paper, we study the uniqueness of two finite order transcendental meromorphic solutions f(z) and g(z) of the following complex difference equation A1(z)f(z + 1) + A0(z)f(z) = F(z)e𝛼(z) when they share 0, ∞ CM, where A1(z), A0(z), F(z) are non-zero polynomials, 𝛼(z) is a polynomial. Our result generalizes and complements some known results given recently by Cui and Chen, Li and Chen. Examples for the precision of our result are also supplied.

Impact of PVD Coating Technology on HSS Tool (HSS공구와 PVD 코팅기술의 영향)

    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.899-904
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    • 2001
  • The impact of PVD coatings can be summed up in practical terms: this technology historically complements the best designed tool substrates to enhance cutting performance. PVD coatings are now incorporated in 25% of all HSS tools. The functionality is to extend the machining speed range, improve wear resistance at the cutting edge, and reduce friction at chip/tool contact areas to allow easier chip evacuation. These translate to a larger safe zone, as discussed in the failure mode diagram, for better productivity and higher reliability in machining operations of the customer. PVD coatings therefore represent an enabling technology that extends the application range of cutting tools in response to modern industrial needs. PVD coatings prolong the product life cycle of HSS tools and help this "mature" material to hold its territory against the advent of the newer hardmetal and ceramic tool materials. There is a lot of competitive life left particularly in PVD coated HSS endmills, drills, threading/tapping tools. PM HSS technology further increases the possibilities.ibilities.

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SCHEMATIC ESTIMATING MODEL FOR CONSTRUCTION PROJECTS -USING PRICIPLE COMPONENT ANALYSIS AND STRUCTURAL EQUATION METHOD

  • Young-Sil Jo;Hyun-Soo Lee;Moon-Seo Park
    • International conference on construction engineering and project management
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    • 2009.05a
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    • pp.1223-1230
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    • 2009
  • In the construction industry, Case-Based Reasoning (CBR) is considered to be the most suitable approach and determining the attribute weights is an important CBR problem. In this paper, a method is proposed for determining attribute weights that are calculated with attribute relation. The basic items of consideration were qualitative and quantitative influence factors. These quantitative factors were related to the qualitative factors to develop a Cost Drivers-structural equation model which can be used to estimate construction cost by considering attribute weight. The process of determining the attribute weight-structural equation model consists o 4 phases: selecting the predominant Cost Drivers for the SEM, applying the Cost Driers in the SEM, determining and verifying the attribute weights and deriving the Cost Estimation Equation. This study develops a cost estimating technique that complements the CBR method with a Cost Drivers-structural equation model which can be actively used during the schematic estimating phases of construction.

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Distribution Channel, Matching, and Welfare Asymmetry in the Korean Insurance Industry: A Hint from Matching Theory

  • Lee, Yong-Ju
    • Asia Marketing Journal
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    • v.17 no.4
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    • pp.89-104
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    • 2016
  • Based on the observation that insurance companies in Korea, unlike those in other financial sectors and those in other countries, dominantly use the agent-based push-type marketing strategy, this paper hypothesizes that difference in distribution systems originating from characteristics of financial products can lead to welfare asymmetry between financial institutions and customers, merely due to their financial matching. For this analysis, we employ a simple matching theoretic model, try to understand the welfare implications of distribution systems from a matching theoretic perspective, and analyze the bottom of negative perceptions of insurance industry. The proposed model suggests that this welfare asymmetry derives mainly from financial matching through the distribution systems, which implies that any efforts to improve the insurance industry must consider changes in the matching process, namely the distribution system. We hope that this paper complements and extends the existing literature on insurance distribution systems in terms of methodologies and research subjects.

LINE GRAPHS OF UNIT GRAPHS ASSOCIATED WITH THE DIRECT PRODUCT OF RINGS

  • Pirzada, S.;Altaf, Aaqib
    • Korean Journal of Mathematics
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    • v.30 no.1
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    • pp.53-60
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    • 2022
  • Let R be a finite commutative ring with non zero identity. The unit graph of R denoted by G(R) is the graph obtained by setting all the elements of R to be the vertices of a graph and two distinct vertices x and y are adjacent if and only if x + y ∈ U(R), where U(R) denotes the set of units of R. In this paper, we find the commutative rings R for which G(R) is a line graph. Also, we find the rings for which the complements of unit graphs are line graphs.

Peripheral nerve blocks for acute trigeminal neuralgia involving maxillary and mandibular branches: a case report

  • Ricardo Luiz de Barreto Aranha;Renata Goncalves Resende;Fernando Antonio de Souza
    • Journal of Dental Anesthesia and Pain Medicine
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    • v.23 no.6
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    • pp.357-362
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    • 2023
  • Trigeminal neuralgia (TN) is neuropathic pain that affects the trigeminal nerve branches. Facial pain experienced by patients with TN is typically intense and excruciating. The second and third branches (maxillary and mandibular) are commonly affected. This case report focuses on the potential treatment options for acute TN attacks involving these branches. The proposed approach involves extra-oral peripheral blocks using local anesthetics. Pain levels were measured using a visual numeric scale (VNS) with potential side effects and other relevant documented information. The patients showed responses from high pain levels to almost complete remission (from 8 to 2 and from 10 to 2 on the final VNS), with no significant side effects. This technique provides immediate pain relief and complements oral medications by offering comfort and confidence until the desired drug effect is achieved.

PARALLEL SHRINKING PROJECTION METHOD FOR FIXED POINT AND GENERALIZED EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLD

  • Hammed Anuoluwapo Abass;Olawale Kazeem Oyewole
    • Communications of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.421-436
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    • 2024
  • In this article, we propose a shrinking projection algorithm for solving a finite family of generalized equilibrium problem which is also a fixed point of a nonexpansive mapping in the setting of Hadamard manifolds. Under some mild conditions, we prove that the sequence generated by the proposed algorithm converges to a common solution of a finite family of generalized equilibrium problem and fixed point problem of a nonexpansive mapping. Lastly, we present some numerical examples to illustrate the performance of our iterative method. Our results extends and improve many related results on generalized equilibrium problem from linear spaces to Hadamard manifolds. The result discuss in this article extends and complements many related results in the literature.

A practical guide to maximizing sample peak capacity for complex low molecular mass molecule separations. (복잡한 저분자량 분자 분리를 위한 시료 피크 용량 극대화 가이드)

  • Arianne Soliven;Matt James;Tony Edge
    • FOCUS: LIFE SCIENCE
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    • no.1
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    • pp.9.1-9.5
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    • 2024
  • Method development for complex low molecular mass (LMM) samples using reversed-phase (RP) separation conditions presents significant challenges due to the presence of many unknown analytes over wide concentration ranges. This guide aims to optimize method parameters-column length (L), temperature (T), flow rate (F), and final mobile phase conditions (Øfinal)-to maximize separation peak capacity. Validated by prior research, this protocol benefits laboratories dealing with metabolomics, natural products, and contaminant screening. This practical guide provides a structured approach to maximizing peak capacity for complex LMM separations. It complements computational optimization strategies and offers a step-by-step method development process. The Snyder-Dolan test is highlighted as essential for determining the need for gradient or isocratic elution and guiding column length decisions. The decision tree framework helps analysts prioritize variable optimization to develop effective separation methods for complex samples.

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