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Stress Distributions in a Plate due to Shear Loading Uniformly Distributed on the End Portions of its Side Boundary. (부분적(部分的)인 균일전단하중(均一傳達荷重)을 받는 평판(平板)에서의 응력분포(應力分布))

  • Hyo-Chul,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.7 no.1
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    • pp.37-44
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    • 1970
  • The plate under shear loading umformly distributed on the end portions of its side boundary was considered. Infinite hyperbolic serieses and Fourier serieses were combined as a stress function and from which exact solutions for the 15 cases for the parameters of b/L=0.25, 0.5, 1.0 and l/L=0.2, 0.4, 0.6, 0.8, 1.0 are obtained. In each cases the first 5 terms of the infinite series at the 36 points as shown in Fig. 3. The results are presented in Fig. 4-1, 4-2, and 4-3. The conclusions are as follows: 1) The stresses ${\sigma}_x$ increase very slightly as $\chi$ increases in the range of 0<x<L-l 2) When the parameters satisfy the conditions b/L<0.25 and l/L<0.2, the stresses in the region of 0<x<L-l can be obtained by replacing the uniform shear loading by the equivalent uniform shear loading by the equivalent uniform tensile force and pure bending moment at x=l. 3) The stress ${\sigma}_y$ is negligible throughout the region. 4) When the parameter b/L varies, the stresses ${\sigma}_x$ and u vary as L/b, while strain $\upsilon$ varies as $(L/b)^2$.

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A Filtered-X LMS Algorithm by New Error Path Identification Method for Adaptive Active Noise Control (적응 능동소음제어를 위한 오차경로 인식 방법을 통한 filtered-X LMS 알고리듬)

  • 권기룡;송규익;김덕규;이건일
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.8
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    • pp.1528-1535
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    • 1994
  • In this paper, a filtered-X LMS algorithm by new error path identification method is proposed for active noise control system. The proposed algorithm identifies accurately the error path transfer function using three microphones and the control of error signal through double loop scheme with on-line. In the computer simulation using the sinusoidal and the practical duct noise, the proposed algorithm reduces noise level about 29.1dB and 10.4dB, respectively. We can observe the improvement of about 0.5dB and 2.5dB in noise level compared with that obtained using the filtered-X LMS algorithm of Eriksson model.

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ON g(x)-INVO CLEAN RINGS

  • El Maalmi, Mourad;Mouanis, Hakima
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.455-468
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    • 2020
  • An element in a ring R with identity is called invo-clean if it is the sum of an idempotent and an involution and R is called invoclean if every element of R is invo-clean. Let C(R) be the center of a ring R and g(x) be a fixed polynomial in C(R)[x]. We introduce the new notion of g(x)-invo clean. R is called g(x)-invo if every element in R is a sum of an involution and a root of g(x). In this paper, we investigate many properties and examples of g(x)-invo clean rings. Moreover, we characterize invo-clean as g(x)-invo clean rings where g(x) = (x-a)(x-b), a, b ∈ C(R) and b - a ∈ Inv(R). Finally, some classes of g(x)-invo clean rings are discussed.

A CONSTRUCTION OF MAXIMAL COMMUTATIVE SUBALGEBRA OF MATRIX ALGEBRAS

  • Song, Young-Kwon
    • Journal of the Korean Mathematical Society
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    • v.40 no.2
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    • pp.241-250
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    • 2003
  • Let (B, m$_{B}$, k) be a maximal commutative $textsc{k}$-subalgebra of M$_{m}$(k). Then, for some element z $\in$ Soc(B), a k-algebra R = B[X,Y]/I, where I = (m$_{B}$X, m$_{B}$Y, X$^2$- z,Y$^2$- z, XY) will create an interesting maximal commutative $textsc{k}$-subalgebra of a matrix algebra which is neither a $C_1$-construction nor a $C_2$-construction. This construction will also be useful to embed a maximal commutative $textsc{k}$-subalgebra of matrix algebra to a maximal commutative $textsc{k}$-subalgebra of a larger size matrix algebra.gebra.a.

Development of New NLO Borate Crystal $>Gd_xY_{1-x}COB$

  • Sasaki, T.;Mori, Y.
    • Proceedings of the Korea Association of Crystal Growth Conference
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    • 1998.06a
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    • pp.3-5
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    • 1998
  • The interest in the use of borate crystals in ultraviolet(UV) nonlinear optics(NLO) has increased because all solid-stste UV lasers obtained with NLO are in highly demand. Much effort has been spent on developing borates series, such as{{{{ { beta -BaB }_{2 } {O }_{4 }(BBO), {LiB }_{ 3}{O }_{5 }(LBO)}}}} and{{{{{ CsKiB}_{6 }{O }_{10 }(CLBO)}}}} in this decade. Recently another new borate crystals, {{{{{ YCa}_{4 }O({BO }_{3 })_{3}}}}} and{{{{{Gd }_{x }{Y }_{1-x }{Ca }_{4 }O({BO }_{ 3})({Gd }_{x }{Y }_{1-x }COB)}}}} have been developed by the present authors. Here, the growth and NLO properties of YCOB and {{{{ {Gd }_{ x} {Y }_{ 1-x} }}}}CO B crystal are reported and their properties discussed in relation to those of other nonlinear optical crystals, such as LBO.

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A Study on the Magnetic Properties of YIG Ferrites with Zr-Substitution (Zr치환에 따른 YIG계 페라이트의 자기적 특성 연구)

  • 양승진;윤종남;김정식
    • Journal of the Korean Ceramic Society
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    • v.40 no.5
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    • pp.428-433
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    • 2003
  • In this study, we investigated the variation of microstructural and electromagnetic properties of YIG ferrites for Isolator/Circulator application with the sintering temperature and Zr addition. The composition of the ferrites was Y$_{2.1}$Ca$_{0.9}$Fe$_{4.4-x}$V$_{0.5}$In$_{0.05}$Al$_{0.05}$Zr$_{x}$O$_{12}$ with x=0, 0.05, 0.1 and 0.2. The YIG ferrites were prepared by the conventional ceramic sintering process. The Zr-substituted YIG ferrite, Y$_{2.1}$ Ca$_{0.9}$Fe$_{4.4-x}$V$_{0.5}$In$_{0.05}$Al$_{0.05}$ Zr$_{x}$O$_{12}$ showed the highest saturation magnetization (1097 gauss) at x=0.1. The microwave properties were shown as isolation of 18.60 dB and insertion loss of 0.45 dB at x=0.2. Additionally, Zr-substitution was effective in decreasing ferromagnetic resonance linewidth with Zr content.

Properties of Fe-based Soft magnetic Thin Film with Hybrid Structures (Hybrid 구조의 Fe계 연자성 박막의 특성)

  • 송재성;이원재;허정섭;김현식;오영우
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.13 no.11
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    • pp.963-968
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    • 2000
  • Magnetic properties and microstructures of Fe$\_$93-x/Zr$_3$B$_4$Ag$\_$x/ thin films were investigated as a function of addition of element Ag, (X$\_$Ag/=0 to 6 at.%) and annealing temperature, T$\_$a/=300$\^{C}$ to 600$\^{C}$. In the case of adding Ag, magnetic properties of Fe$\_$93-x/Zr$_3$B$_4$Ag$\_$x/ thin films were improved than those of Ag-free Fe$\_$93/Zr$_3$B$_4$thin films. The prominent soft magnetic properties with coercivity of 1.1 Oe, saturation magnetization of 2.2 T and permeability of 5400 at 50㎒ were obtained from Fe$\_$88/Zr$_3$B$_4$Ag$\_$5/ thin film annealed was lower than that of Fe-base or Co-base thin films reported previously. Such enhanced magnetic properties are presumably attributed to the format in ultra fine grains. Also, the reduced eddy current loss in the annealed sample is due to refined micro magnetic domains with increasing the amount of Ag in Fe$\_$93-x/Zr$_3$B$_4$Ag$\_$x/ thin films.

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The effect of Nb addition on magnetic properties of $Nd_8Fe_{86-x}Nb_xB_6$ nanocomposite magnet ($Nd_8Fe_{86-x}Nb_xB_6$ nanocomposite magnet의 자기적 특성에 미치는 Nb 치환 효과)

  • Nam, Sung-Jin;Han, Jong-Soo;Kim, Eng-Chan;Nam, Hyo-Duk
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2006.06a
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    • pp.253-254
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    • 2006
  • 초미세립 복합상 영구자석은 연 경자성상의 크기와 분포에 큰 영향을 받는 자성재료이다. 또한, 결정립간 교환상호작용력은 초미세립 복합상 영구자석의 잔류자속밀도에 큰 영향을 미친다. 이에 $Nd_8Fe_{86-x}Nb_xB_6$(x=0, 1, 2, 3) 조성으로 급냉자성 분말을 제조하고, 열처리 후 자기특성을 평가하였다. Nb 첨가에 따른 $Nd_2Fe_{14}B$ 상과 $\alpha$-Fe 상과의 교환상호작용력을 Henkel(${\delta}M$) plot을 통해 평가하고, 각 상의 크기와 분포를 조사하여 자기특성 변화를 합리화하였다. 본 연구에서 얻은 최대 자기특성은 $B_r$ = 9.791 kG, $_iH_c$ = 5.565 kOe, 그리고 $(BH)_{max}$ = 14.61 MGOe였고, Nb를 첨가함으로서 보자력이 증가하였다.

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Preparation of Ferroelectric (YbxY1-x)MnO3 Thin Film by Sol-Gel Method (졸-겔법에 의한 (YbxY1-x)MnO3강유전체 박막제조)

  • 강승구;이기호
    • Journal of the Korean Ceramic Society
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    • v.41 no.2
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    • pp.170-175
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    • 2004
  • The ferroelectric (Y $b_{x}$ $Y_{1-x}$)Mn $O_3$ thin films were fabricated by sol-gel method using Y-acetate, Yb-acetate, and Mn-acetate as raw materials. The stable (Y $b_{x}$ $Y_{1-x}$)Mn $O_3$ precursor solution (sol) was prepared through the reflux process with acetylaceton as a catalyst and coated on Si(100) substrate by spin coating. The heat treatment temperature and, Rw ($H_2O$/alkoxide moi ratio) dependence on crystallinity of thin films were studied. The lowest temperature for obtaining YbMn $O_3$phase and the optimum heat-treatment conditions were proved as at 7$50^{\circ}C$ and 80$0^{\circ}C$, respectively. The hexagonal YbMn $O_3$with c-axis preferred orientation could be obtained at Rw=1 condition. The remanent polarization for the thin films of x=0 or 1 was about 200 nC/㎤ while, for the specimens ot 0< x< 1, were 50∼100 nC/$\textrm{cm}^2$.

COMPLETION FOR TIGHT SIGN-CENTRAL MATRICES

  • Cho, Myung-Sook;Hwang, Suk-Geun
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.343-352
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    • 2006
  • A real matrix A is called a sign-central matrix if for, every matrix $\tilde{A}$ with the same sign pattern as A, the convex hull of columns of $\tilde{A}$ contains the zero vector. A sign-central matrix A is called a tight sign-central matrix if the Hadamard (entrywise) product of any two columns of A contains a negative component. A real vector x = $(x_1,{\ldots},x_n)^T$ is called stable if $\|x_1\|{\leq}\|x_2\|{\leq}{\cdots}{\leq}\|x_n\|$. A tight sign-central matrix is called a $tight^*$ sign-central matrix if each of its columns is stable. In this paper, for a matrix B, we characterize those matrices C such that [B, C] is tight ($tight^*$) sign-central. We also construct the matrix C with smallest number of columns among all matrices C such that [B, C] is $tight^*$ sign-central.