• 제목/요약/키워드: complex zero

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On the Fekete-Szegö Problem for Starlike Functions of Complex Order

  • Darwish, Hanan;Lashin, Abdel-Moniem;Al Saeedi, Bashar
    • Kyungpook Mathematical Journal
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    • 제60권3호
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    • pp.477-484
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    • 2020
  • For a non-zero complex number b and for m and n in 𝒩0 = {0, 1, 2, …} let Ψn,m(b) denote the class of normalized univalent functions f satisfying the condition ${\Re}\;\[1+{\frac{1}{b}}\(\frac{D^{n+m}f(z)}{D^nf(z)}-1\)\]\;>\;0$ in the unit disk U, where Dn f(z) denotes the Salagean operator of f. Sharp bounds for the Fekete-Szegö functional |a3 - 𝜇a22| are obtained.

The Kinetics of Complexation of Nickel(II) and Cobalt(II) Mandelates in Aqueous Solution

  • Choi, Ki-Young;Yun, Sock-Sung;Kim, Mal-Jin
    • Bulletin of the Korean Chemical Society
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    • 제12권6호
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    • pp.629-632
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    • 1991
  • The rate constants for the formation and dissociation of nickel(II) and cobalt(II) complexes with mandelate have been determined by the pressure-jump relaxation study. The forward and reverse rate constants for the mandelate complex formation reactions were obtained to be $k_f=3.60{\times}10^4\;M^{-1}s^{-1}$ and $k_r=1.73{\times}10^2\;s^{-1}$ for the nickel(II), and $k_f=1.75{\times}10^5\;M^{-1}s{-1}$ and $2.33{\times}10^3\;s^{-1}$ for the cobalt(II) in aqueous solution of zero ionic strength ($(\mu{\to}0)\;at\;25^{\circ}C$. The results were interpreted by the use of the multistep complex formation mechanism. The rate constants evaluated for each individual steps in the multistep mechanism draw a conclusion that the rate of the reaction would be controlled by the chelate ring closure step in concert with the solvent exchange step in the nickel(II) complexation, while solely by the chelate ring closure step for the cobalt(II) complex.

SOME REMARKS FOR λ-SPIRALLIKE FUNCTION OF COMPLEX ORDER AT THE BOUNDARY OF THE UNIT DISC

  • Akyel, Tugba
    • 대한수학회논문집
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    • 제36권4호
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    • pp.743-757
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    • 2021
  • We consider a different version of Schwarz Lemma for λ-spirallike function of complex order at the boundary of the unit disc D. We estimate the modulus of the angular derivative of the function $\frac{zf^{\prime}(z)}{f(z)}$ from below for λ-spirallike function f(z) of complex order at the boundary of the unit disc D by taking into account the zeros of the function f(z)-z which are different from zero. We also estimate the same function with the second derivatives of the function f at the points z = 0 and z = z0 ≠ 0. We show the sharpness of these estimates and present examples.

ON SOME NEW SOLITONS SOLUTIONS OF NONLINEAR COMPLEX GINZBURG-LANDAU EQUATION SOLVED BY MODIFIED JACOBI ELLIPTIC FUNCTIONS METHOD

  • AICHA BOUSSAHA;HALIM ZEGHDOUDI;RAMAN VINOTH
    • Journal of applied mathematics & informatics
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    • 제42권2호
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    • pp.391-398
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    • 2024
  • This article explains how solitons propagate when there is a detuning factor involved. The explanation is based on the nonlinear complex Ginzburg-Landau equation, and we first consider this equation before systematically deriving its solutions using Jacobian elliptic functions. We illustrate that one specific ellipticity modulus is on the verge of occurring. The findings from this study can contribute to the understanding of previous research on the Ginzburg-Landau equation. Additionally, we utilize Jacobi's elliptic functions to define specific solutions, especially when the ellipticity modulus approaches either unity or zero. These solutions correspond to particular periodic wave solitons, which have been previously discussed in the literature.

제로 트러스트 아키텍처 도입을 통한 기업 보안 강화 방안 - 마이크로 세그먼테이션 접근법 중심으로 - (Strengthening Enterprise Security through the Adoption of Zero Trust Architecture - A Focus on Micro-segmentation Approach -)

  • 주승현;김진민;권대현;신용태
    • 융합보안논문지
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    • 제23권3호
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    • pp.3-11
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    • 2023
  • 제로 트러스트는 "Never Trust, Always Verify"라는 원칙으로 알려진 새로운 보안 패러다임이다. 최근에는 원격 및 재택근무 환경의 확산과 클라우드 서비스의 사용 증가로 어디서든 업무 시스템에 접근 가능한 WFA(Work From Anywhere) 환경이 구축되고 있다. 이에 따라 내·외부 경계가 모호해져 기존의 경계 기반 보안 모델(perimeter security)만으로는 다양하고 복잡한 침해사고와 공격에 대응하기 어려워졌다. 이 연구에서는 제로 트러스트의 구현 원칙과 마이크로 세그먼테이션(micro segmentation) 접근법을 소개하며, NIST의 위험 관리 프레임워크를 활용하여 제로 트러스트 도입 절차를 제안하여 기업이 사이버 공격에 대비할 수 있는 보안 전략을 강화하는 방안을 제시한다.

A NOTE ON DERIVATIONS OF A SULLIVAN MODEL

  • Kwashira, Rugare
    • 대한수학회논문집
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    • 제34권1호
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    • pp.279-286
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    • 2019
  • Complex Grassmann manifolds $G_{n,k}$ are a generalization of complex projective spaces and have many important features some of which are captured by the $Pl{\ddot{u}}cker$ embedding $f:G_{n,k}{\rightarrow}{\mathbb{C}}P^{N-1}$ where $N=\(^n_k\)$. The problem of existence of cross sections of fibrations can be studied using the Gottlieb group. In a more generalized context one can use the relative evaluation subgroup of a map to describe the cohomology of smooth fiber bundles with fiber the (complex) Grassmann manifold $G_{n,k}$. Our interest lies in making use of techniques of rational homotopy theory to address problems and questions involving applications of Gottlieb groups in general. In this paper, we construct the Sullivan minimal model of the (complex) Grassmann manifold $G_{n,k}$ for $2{\leq}k<n$, and we compute the rational evaluation subgroup of the embedding $f:G_{n,k}{\rightarrow}{\mathbb{C}}P^{N-1}$. We show that, for the Sullivan model ${\phi}:A{\rightarrow}B$, where A and B are the Sullivan minimal models of ${\mathbb{C}}P^{N-1}$ and $G_{n,k}$ respectively, the evaluation subgroup $G_n(A,B;{\phi})$ of ${\phi}$ is generated by a single element and the relative evaluation subgroup $G^{rel}_n(A,B;{\phi})$ is zero. The triviality of the relative evaluation subgroup has its application in studying fibrations with fibre the (complex) Grassmann manifold.

한반도 지형이 대상수렴운의 생성에 미치는 영향에 관한 WRF 민감도 실험 (WRF Sensitivity Experiments on the Formation of the Convergent Cloud Band in Relation to the Orographic Effect of the Korean Peninsula)

  • 김유진;이재규
    • 대기
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    • 제25권1호
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    • pp.51-66
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    • 2015
  • This study was conducted to perform various sensitivity experiments using WRF (Weather Research and Forecasting) model in order to determine the effects of terrains of the Korean Peninsula and the land-sea thermal contrast on the formation and development of the convergent cloud band for the cases of 1 February 2012. The sensitivity experiments consist of the following five ones: CNTL experiment (control experiment), and TMBT experiment, BDMT experiment and ALL experiment that set the terrain altitude of Taeback Mountains and Northern mountain complex as zero, respectively, and the altitude of the above-mentioned two mountains as zero, and LANDSEA experiment that set to change the Korean Peninsula into sea in order to find out the land-sea thermal contrast effect. These experiment results showed that a cold air current stemming from the Siberian high pressure met the group of northern mountains with high topography altitude and was separated into two air currents. These two separated air currents met each other again on the Middle and Northern East Sea, downstream of the group of northern mountains and converged finally, creating the convergent cloud band. And these experiments suggested that the convergent cloud band located on the Middle and Northern East Sea, and the cloud band lying on the southern East sea to the coastal waters of the Japanese Island facing the East Sea, were generated and developed by different dynamical mechanisms. Also it was found that the topography of Taeback Mountains created a warm air advection region due to temperature rise by adiabatic compression near the coastal waters of Yeongdong Region, downstream of the mountains. In conclusion, these experiment results clearly showed that the most essential factor having an effect on the generation and development of the convergent cloud band was the topography effect of the northern mountain complex, and that the land-sea thermal contrast effect was insignificant.

Experimental and mathematical evaluation of solar powered still equipped by nano plate as the principle stage of zero discharge desalination process

  • Jadidoleslami, Milad;Farahbod, Farshad
    • Advances in Energy Research
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    • 제4권2호
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    • pp.147-161
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    • 2016
  • To start with, finding a sustainable method to produce sweet water and electricity by using renewable energies is one of the most important issues at this time. So, experimental and theoretical analysis of the performance of a closed solar powered still, which is jointed to photovoltaic cells and vacuum pump and equipped by nano plate, as the principle stage of zero discharge desalination process is investigated in this project. Major goal of this work is to reuse the concentrated brine of the Mobin petrochemical complex in order to produce potable, sweet water from effluent saline wastewater and generating electricity in the same time by using solar energy instead of discharging them to the environment. It is observed the increase in brackish water temperature increases the average daily production of solar desalination still considerably. Therefore, the nano plate and vacuum pump are added to augment the evaporation rate. The insolation rate, evaporation rate, the average brackish temperature, ambient temperature, density are investigated during a year 2013. In addition to obtain the capacity of solar powered still, the highest and lowest amount of water and electricity generation are reported during a twelvemonth (2013). Results indicate the average daily production is increased 16%, which represents 7.78 kW.h energy saving comparing with traditional solar still.

전자투표에서 익명성 보장을 위한 빠르고 안전한 방식 (A Fast and Secure Method to Preserve Anonymity in Electronic Voting)

  • 양형규
    • 한국인터넷방송통신학회논문지
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    • 제14권1호
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    • pp.245-251
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    • 2014
  • Mix 네트워크는 전자투표 시스템에서 익명성 보장을 위해서 중요한 역할을 담당하고 있으며 많은 mixnet 방식들이 현재까지 제안되고 있다. 그러데, 기존의 방식들은 안전한 mixing 동작들을 구현하기 위해서 복잡하고 비용부담이 있는 영지식 증명 방식을 사용하고 있다. 2010년도에 Seb$\acute{e}$ 등은 암호학적으로 안전한 해쉬 함수를 사용해서 효율적이고 비용 부담이 적은 mixnet 방식을 제안하였다. 본 논문에서 우리는 같은 가정하에서 Seb$\acute{e}$의 방식보다 안전하고 효율적이고 빠른 방식을 제안한다.

사업체노동력조사를 활용한 빈 일자리 수 추정에 대한 정합성 연구 (A Study of Consistency in Estimating the Number of Vacant Jobs Using the Labor Force Survey at Establishments)

  • 박승환
    • 아태비즈니스연구
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    • 제13권3호
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    • pp.329-341
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    • 2022
  • Purpose - The purpose of this study was to investigate consistency in estimating the number of vacant jobs using the two business labor force survey with two different time points of survey. Design/methodology/approach - We studied the cause of the differences in estimating the number of vacant jobs between the monthly sample and the new sample in business labor force survey. Findings - To summarize our findings, As the size of the company increases, the number of vacant jobs in the company also increases, and the probability that the number of vacant jobs in the company is zero decreases. The monthly sample was assessed to have a higher likelihood that the number of vacant jobs in the company was zero and the number of vacant jobs was considerable compared to the local sample. Research implications or Originality - Because local survey sample companies tend to minimize the number of vacant jobs even when they reply under the same conditions, the estimation result of the number of vacant jobs in the current monthly survey differs significantly from the estimation result of the local survey. Divergent "degrees of knowledge of question items," survey methodologies, or investigators could be the causes of the various response trends.