• 제목/요약/키워드: $x^2$ Distribution

검색결과 1,643건 처리시간 0.029초

The Effect of Manganese Substituted M-type Hexagonal Ba-ferrite

  • Lee, In-Kyu;Sur, Jung-Chul;Shim, In-Bo;Kim, Chul-Sung
    • Journal of Magnetics
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    • 제14권2호
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    • pp.93-96
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    • 2009
  • The Mn-substituted M-type Ba-ferrite ($BaFe_{12-x}Mn_xO_{19}$; x = 0, 2, 4, 6) powders were prepared by the HTTD (High Temperature Thermal Decomposition) method. The effect of $Mn^{3+}$ Jahn-Teller ions on the magnetic properties has been studied by x-ray diffraction, vibrating sample magnetometry, and $M{\ddot{o}}ssbauer$ spectroscopy. With increasing Mn substitution, the lattice parameter $a_0$ increases while $c_0$ decreases. The magnetocrystalline anisotropy constants ($K_1$) were determined as 2.9, 2.2, 1.8, and, $1.3{\times}10^6\;erg/cm^3$ for x = 0, 2, 4, and 6, respectively, by the LAS method. We have studied the change of cation distribution by $M{\ddot{o}}ssbauer$ spectroscopy which is closely related to $K_1$.

System reliability estimation in multicomponent exponential stress-strength models

  • Pandit, Parameshwar V.;Kantu, Kala J.
    • International Journal of Reliability and Applications
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    • 제14권2호
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    • pp.97-105
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    • 2013
  • A stress-strength model is formulated for a multi-component system consisting of k identical components. The k components of the system with random strengths ($X_1$, $X_2$, ${\ldots}$, $X_k$) are subjected to one of the r random stresses ($X_{k+1}$, $X_{k+2}$, ${\ldots}$, $X_{k+r}$). The estimation of system reliability based on maximum likelihood estimates (MLEs) and Bayes estimators in k component system are obtained when the system is either parallel or series with the assumption that strengths and stresses follow exponential distribution. A simulation study is conducted to compare MLE and Bayes estimator through the mean squared errors of the estimators.

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상용 방사선 X선 발생 장치를 이용한 PEMFC 내부 물 분포 가시화를 위한 실험적 연구 (Experimental Study on Visualization of Water Distribution Inside PEMFC Using a Commercial Radiation X-ray Generator)

  • 김영현;김태준;최선호;유동인
    • 한국가시화정보학회지
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    • 제22권2호
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    • pp.20-26
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    • 2024
  • Water management is crucial for the performance, durability, and stability of Polymer Electrolyte Membrane Fuel Cells (PEMFCs). Due to its importance, various methods for visualizing PEMFC's internal water distribution have been adapted to study and manage water within the cells. However, these methods often require large facilities, leading to high costs and significant barriers to entry. This study addresses these challenges by using a commercial Radiation (X-ray) Generator (RG) for internal water distribution visualization and comparing the results with synchrotron X-ray data from the Pohang Accelerator Laboratory (PAL) 9D beamline. Despite the lower resolution and potential beam distortion challenges, the RG shows promise for PEMFC water distribution visualization, suggesting the need for further research to refine water attenuation coefficients and build-up factors for improved measurement accuracy.

Crystallographic and Magnetic Properties of Nano-sized Nickel Substituted Cobalt Ferrites Synthesized by the Sol-gel Method

  • Choi, Won-Ok;Lee, Jae-Gwang;Kang, Byung-Sub;Chae, Kwang Pyo
    • Journal of Magnetics
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    • 제19권1호
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    • pp.59-63
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    • 2014
  • Nano-sized nickel substituted cobalt ferrite powders, $Ni_xCo_{1-x}Fe_2O_4$ ($0.0{\leq}x{\leq}1.0$), were fabricated by the sol-gel method, and their crystallographic and magnetic properties were studied. All the ferrite powders showed a single spinel structure, and behaved ferrimagnetically. When the nickel substitution was increased, the lattice constants and the sizes of particles of the ferrite powders decreased. The M$\ddot{o}$ssbauer absorption spectra of $Ni_xCo_{1-x}Fe_2O_4$ ferrite powders could be fitted with two six-line subspectra, which were assigned to a tetrahedral A-site and octahedral B-sites of a typical spinel crystal structure. The increase in values of the magnetic hyperfine fields indicated that the superexchange interaction was stronger, with the increased nickel concentration in $Ni_xCo_{1-x}Fe_2O_4$. This could be explained using the cation distribution, which can be written as, $(Co_{0.28-0.28x}Fe_{0.72+0.28x})[Ni_xCo_{0.72-0.72x}Fe_{1.28-0.28x}]O_4$. The two values of the saturation magnetization and the coercivity decreased, as the rate of nickel substitution was increased. These decreases could be explained using the cation distribution, the magnetic moment, and the magneto crystalline anisotropy constant of the substituted ions.

cdma2000 패킷 데이터 서비스를 위한 효율적인 상호 인증과 키 분배 프로토콜 (Efficient mutual authentication and key distribution protocol for cdma2000 packet data service)

  • 신상욱;류희수
    • 정보보호학회논문지
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    • 제13권2호
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    • pp.107-114
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    • 2003
  • 본 논문에서는 DIAMETER AAA(Authentication, Authorization and Accounting) 하부 구조를 가지고 Mobile IP 액세스 기법을 사용하는 cdma2000 패킷 데이터 서비스에서 W(mobile node)와 AAAH(home AAA server)간의 상호 인증과 Mobile IP 개체들간에 안전한 세션키 분배를 위한 방법을 제안한다. 제안된 프로토콜은 DIAMETER AAA 하부 구조를 가정하며 c의 비효율성을 개선하고, 인증과 키 분배 프로토콜의 안전성 요구 사항들을 모두 만족한다. 또한 1xEV-DO에 대한 패킷 데이터 세션 하이재킹 공격을 방지하기 위해 제안된 기법에 의해 분배된 키를 1xEV-DO 무선 인터페이스 패킷 데이터 보안을 위한 키 생성에 적용한다.

EXACT SEQUENCES FOR SUMS OF PAIRWISE I.I.D. RANDOM VARIABLES

  • Hong, Dug-Hun;Park, Jin-Myung
    • 대한수학회보
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    • 제30권2호
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    • pp.167-170
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    • 1993
  • In this paper, X, X$_{1}$, X$_{2}$, .. will denote any sequence of pairwise independent random variables with common distribution, and b$_{1}$, b$_{2}$.. will denote any sequence of constants. Using Chung [2, Theorem 4.2.5] and the same idea as in Chow and Robbins [1, Lemma 1 and 2] we have the following lemma.

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SOME RESULTS RELATED TO DISTRIBUTION FUNCTIONS OF CHI-SQUARE TYPE RANDOM VARIABLES WITH RANDOM DEGREES OF FREEDOM

  • Hung, Tran Loc;Thanh, Tran Thien;Vu, Bui Quang
    • 대한수학회보
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    • 제45권3호
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    • pp.509-522
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    • 2008
  • The main aim of this paper is to present some results related to asymptotic behavior of distribution functions of random variables of chi-square type $X^2_N={\Sigma}^N_{i=1}\;X^2_i$ with degrees of freedom N, where N is a positive integer-valued random variable independent on all standard normally distributed random variables $X_i$. Two ways for computing the distribution functions of chi-square type random variables with random degrees of freedom are considered. Moreover, some tables concerning considered distribution functions are demonstrated in Appendix.

CaO-SiO2-Al2O3-MgO 슬래그와 Cu-Ni합금 사이의 Ni 분배거동 (Distribution Behavior of Ni between CaO-SiO2-Al2O3-MgO Slag and Cu-Ni Alloy)

  • 한보람;손호상
    • 자원리싸이클링
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    • 제24권1호
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    • pp.35-42
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    • 2015
  • 본 연구는 건식제련법으로 폐 PCB를 처리하는 공정에서 슬래그 중 Ni의 용해거동에 대한 기초연구로서, CaO-$SiO_2-Al_2O_3$-MgO계 슬래그와 Cu-5 wt%Ni합금 사이의 Ni 분배거동을 1623~1823 K의 $CO_2$-CO 분위기 중에서 조사하였다. 평형산소분압이 증가할수록 Ni의 분배비는 선형적으로 증가하였으며, 이 결과로부터 Ni의 슬래그 중 용해반응은 다음과 같이 나타낼 수 있다. $$Ni(l)_{metal}+\frac{1}{2}O_2(g)NiO(l)_{slag}$$ 슬래그 중 염기성 산화물(CaO와 MgO)의 농도가 증가할수록 Ni의 분배비는 선형적으로 증가하였다. 그러나 반응 온도가 높을수록 Ni의 분배비는 선형적으로 감소하였다. 이러한 결과로부터 Ni의 분배비에 미치는 실험변수의 영향을 다중 회귀분석하여 다음과 같은 경험식을 얻었다. $${\log}L_{Ni}=0.4000{\log}P_{O2}-5.1{\times}10^{-4}T+0.3375\(\frac{X_{CaO}+X_{MgO}}{X_{SiO2}}\)$$

Effects of Ga Substitution on Crystallographic and Magnetic Properties of Co Ferrites

  • Chae, Kwang Pyo;Choi, Won-Ok;Kang, Byung-Sub;Lee, Young Bae
    • Journal of Magnetics
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    • 제20권1호
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    • pp.26-30
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    • 2015
  • The crystallographic and magnetic properties of gallium-substituted cobalt ferrite ($CoGa_xFe_{2-x}O_4$) were investigated. The new material was synthesized using conventional ceramic methods, with gallium substituted for ferrite in the range of x = 0.0 to 1.0, in steps of 0.2. X-ray diffraction and M$\ddot{o}$ssbauer spectroscopy were used to confirm the presence of crystallized particles in the $CoGa_xFe_{2-x}O_4$ ferrite powders. All of the samples exhibited a single phase with a spinel structure, and the lattice parameters decreased as the gallium content increased. The particle size of the samples also decreased as gallium increased. For $x{\leq}0.4$, the M$\ddot{o}$ssbauer spectra of $CoGa_xFe_{2-x}O_4$ could be fitted with two Zeeman sextets, which are the typical spinel ferrite spectra of $Fe^{3+}$ with A- and B-sites. However, for $x{\geq}0.6$, the M$\ddot{o}$ssbauer spectra could be fitted with two Zeeman sextets and one doublet. The variation in the M$\ddot{o}$ssbauer parameters and the absorption area ratio indicated a cation distribution of $(Co_{0.2-0.2x}Ga_xFe_{0.8-0.6x})[Co_{0.8+0.2x}Fe_{1.2-0.4x}]O_4$, and the magnetic behavior of the samples suggested that the increase in gallium content led to a decrease in the saturation magnetization and in the coercivity.