• Title/Summary/Keyword: almost Kӓ

검색결과 44건 처리시간 0.024초

Almost sure convergence for weighted sums of I.I.D. random variables (II)

  • Sung, Soo-Hak
    • 대한수학회보
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    • 제33권3호
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    • pp.419-425
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    • 1996
  • Let ${X, X_n, n \geq 1}$ be a sequence of independent and identically distributed(i.i.d) random variables with EX = 0 and $E$\mid$X$\mid$^p < \infty$ for some $p \geq 1$. Let ${a_{ni}, 1 \leq i \leq n, n \geq 1}$ be a triangular arrary of constants. The almost sure(a.s) convergence of weighted sums $\sum_{i=1}^{n} a_{ni}X_i$ can be founded in Choi and Sung[1], Chow[2], Chow and Lai[3], Li et al. [4], Stout[6], Sung[8], Teicher[9], and Thrum[10].

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The Implementation of a 3D Game Engine based on DirectX 9

  • Kang, Hyun-Myung;Rhee, Woo-Seop
    • International Journal of Contents
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    • 제4권3호
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    • pp.35-40
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    • 2008
  • Recently, almost games are using the 3D environment. Therefore, it required strongly that well-structured 3D engine or tools for development of some complicate 3D applications efficiently. In this paper, we design and implement a 3D engine (PLay engine) using the DirectX 9 SDK of the Microsoft corporation. The PLay engine has independent module structure, which has object oriented characteristics. and has not only 3D rendering functions but efficient algorithms. Moreover, we implement some tools what has compatibility with our engine for convenience. Therefore, it helps development of a 3D application easily and efficiently. We also describe each module with 2-layer structure, and each tool with compatible module, and make a simple game using PLay engine for testify.

PROJECTIONS OF ALGEBRAIC VARIETIES WITH ALMOST LINEAR PRESENTATION II

  • Ahn, Jeaman
    • 충청수학회지
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    • 제34권2호
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    • pp.181-188
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    • 2021
  • Let X be a nondegenerate reduced closed subscheme in ℙn. Assume that πq : X → Y = πq(X) ⊂ ℙn-1 is a generic projection from the center q ∈ Sec(X) \ X where Sec(X) = ℙn. Let Z be the singular locus of the projection πq(X) ⊂ ℙn-1. Suppose that IX has the almost minimal presentation, which is of the form R(-3)β2,1 ⊕ R(-4) → R(-2)β1,1 → IX → 0. In this paper, we prove the followings: (a) Z is either a linear space or a quadric hypersurface in a linear subspace; (b) $H^1({\mathcal{I}_X(k)})=H^1({\mathcal{I}_Y(k)})$ for all k ∈ ℤ; (c) reg(Y) ≤ max{reg(X), 4}; (d) Y is cut out by at most quartic hypersurfaces.

Physicochyemical Properties of $ZrF_4-Based$ Fluoride Glasses Containing Rare-Earth Ions

  • Ishioka, Noriyuki;Ogawa, Kouji;Arakawa, Tsuyoshi
    • The Korean Journal of Ceramics
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    • 제5권4호
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    • pp.375-378
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    • 1999
  • In tho XRD study of $56ZrF_4 \cdot34BaF_2 \cdot4AIF_3 \cdot(6-x)LaF_3 \cdotxLnF_3$ glassdLn=Ce, Nd, Gd, Th), halo pattern charactarktic fo an amorphous sample appeared. When the halo peak angle ($\theta_p$) was converted into a wavenumber with $Qp=4\pi sinG\pi/\lambda(\lambda$ is the wavolongth of the radialion used), it was found that the Qp values varied almost liuearly with the concentration 01 $LnF_3$. The emissiou spect1.a of $Ce^{3-}$-containing fluoride glasses nnder 273 nm excitation had a peak maximum at ea. 300 nm $(Ce^{3+}$ 5d-4f- transition). The maximal intensity of the fluorescence was observed when the $CeF_3$, content was extremely low (ca. 1 mol%j. DTA measurement revealed tbat these fluoride glasses had two crystallization temperatures. In $56ZrF_4. 34BaF_2. 4NF_3. (6-x)LaF_3 .xNdF_3$ glasses, the actmation energies of crystallization obtained from a Kssinger plot were 1.7 and 5.0 eV for the glass with x=2, and 1.9 and 5.6 eV for the glass with x=4.

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Synthesis and Structural Analysis of 2-Amino-4-(4-hydroxy-3-methoxyphenyl)-7,9-dimethyl-5-oxo-4, 5, 6, 7-tetrahydropyrano [2, 3-d] pyrazolo [3, 4-b] pyridine-3-carbonitrile through X-ray Crystallography

  • Ganapathy, Jagadeesan;Jayarajan, R.;Vasuki, G.;Sanmargam, Aravindhan
    • 통합자연과학논문집
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    • 제8권1호
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    • pp.30-39
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    • 2015
  • The crystal structure of the potential active 2-amino-4-(4-hydroxy-3-methoxyphenyl)-7, 9-dimethyl-5-oxo-4, 5, 6, 7-tetrahydropyrano [2, 3-d] pyrazolo [3, 4-b] pyridine-3-carbonitrile ($C_{21}H_{22}N_5O_6S$) has been determined from single crystal X-ray diffraction data. In the title compound crystallizes in the monoclinic space group P-1 with unit cell dimension a=8.1201(9)${\AA}$, b=12.2684(4)${\AA}$ and c=12.387(2)${\AA}$ [${\alpha}=69.573^{\circ}$, ${\beta}=12.168^{\circ}$ and ${\gamma}=76.060^{\circ}$]. In the structure the pyrazole, pyridine and pyran are almost coplanar each other. The crystal packing is stabilized by intermolecular C-H...O and N-H... O hydrogen bond interaction.

LaNi1-xTixO3(x∼0.5) 세라믹스의 전기전도 특성 (Electrical Transport Properties of LaNi1-xTixO3(x∼0.5) Ceramics)

  • 정우환
    • 한국재료학회지
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    • 제19권4호
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    • pp.186-191
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    • 2009
  • Thermoelectric power and resistivity are measured for the perovskite $LaNi_{1-x}Ti_xO_3$ ($x{\leq}0.5$) in the temperature range 77 K - 300 K. The measured thermoelectric power of $LaNi_{1-x}Ti_xO_3$ ($x{\leq}0.5$) increases linearly with temperature and is represented by A + BT. The x = 0.1 sample showed metallic behavior, the x = 0.3 showed metal and insulating transition around 150 K, and x = 0.5 showed insulating behavior the over the whole temperature range. The electrical resistivity of x = 0.1 shows linear temperature dependence over the whole temperature range and $T^2$ dependence. On the other hand, the electrical resistivity of x = 0.3 shows a linear relation between $ln{\rho}$ and $T^{-1/4}$ (variable range hopping mechanism) in the range of 77 K to 150 K. For x = 0.5, the temperature dependence of resistivity is characteristic of insulating materials; the resistivity data was fitted to an exponential law, such as ln(${\rho}/T$) and $T^{-1}$, which is usually attributed to a small polaron hopping mechanism. These experimental results are interpreted in terms of the spin polaron (x = 0.1) and variable range hopping (x = 0.3) or small polaron hopping (x = 0.5) of an almost localized $Ni^{3+}$ 3d polaron.

3-D Reconstruction of Human Face Using the Derivative Moiré Topography

  • Bae, Yoon Jae;Ha, Byeong Wan;Park, Ji An;Cho, Choon Sik
    • Journal of the Optical Society of Korea
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    • 제18권5호
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    • pp.500-506
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    • 2014
  • A new 3-D reconstruction algorithm for the human face is proposed using the derivative Moir$\acute{e}$ topography which ensures fast and robust reconstruction even for rough surfaces. The Moir$\acute{e}$ interference fringe pattern is initially obtained through the projection Moir$\acute{e}$ topography based on phase shifting, and then differentiated to provide a full unwrapped phase map for a human face. $2{\pi}$ ambiguity, which has been a chronically unsolved problem with Moir$\acute{e}$ topography, is successfully surmounted by differentiating the Moir$\acute{e}$ fringe patterns both in x- and y-directions when the object is located in the x-y plane. A real human face is used for verifying the proposed derivative Moir$\acute{e}$ topography. A human face of 4 different phase-shifted images taken in the fixed plane is almost fully reconstructed in 3-D format in 0.1 mm lateral resolution.

Metabolizable Energy Values of Some Poultry Feeds Determined by Various Methods and Their Estimation Using Metabolizability of the Dry Matter

  • Han, I. K.;Hochstetler, H.W.;Scott, M.L.
    • 한국가금학회지
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    • 제3권1호
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    • pp.11-18
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    • 1976
  • Metabolizable energy (M.E.) values of 12 U.S. feedstuffs and 10 Korean feed ingredients for poultry were determined both by the total collection method and by the chromic oxide indicator method. It was found that M.E. values of most poultry feedstuffs can be measured accurately by either method. Limitation of feed intake to almost maintenance level(approximately 60% of ad libitum) did not increase or decrease the M.E. value of the feeds. An attempt was made to establish a prediction equation to estimate the M.E. values based on the apparent metabolizability of dry matter (D.M.) in the feedstuffs. The results indicated that linear relationships do exist between D. M. metabolizability and M.E. values of carbohydrate-rich feedstuffs (grains and their by-products) or protein-rich feed ingredients (oil seed meals and animal protein feeds) or lipid-rich feeds (fats and oils) as follows: The prediction equation for carbohydrate-rich feedstuffs was Y = 0.0947x - 3.498 ($r^2\;=\;0.99$, Sy.x = 0.015); for protein-rich feed ingredients. it was Y = 0.1234x - 4.898 ($r^2\;=\;0.99$, Sy.x = 0.027); and for lipid-rich feedstuffs it was Y = 0.0844x + 0.774 ($r^2\;=\;0.99$, Sy.x = 0.032). where x = metabolizability of dry matter of feeds in %, and Y=metabolizable energy values in kcal./g. The errors attached to these estimations were relatively small. Thus these prediction equations may be very useful for estimation of the M.E. values from D.M. apparent metaboiizability of feeds, especially in areas of the world where calorimetry is not possible.

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Nd-Ba-Cu-O 벌크 초전도체의 초전도 특성에 미치는 Ca첨가제의 영향 (Effect of Ca-doping on the superconducting properties of Nd-Ba-Cu-O bulks)

  • 이훈배;위성훈;유상임
    • 한국초전도저온공학회:학술대회논문집
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    • 한국초전도저온공학회 2002년도 학술대회 논문집
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    • pp.346-350
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    • 2002
  • The effect of Ca-doping on the superconducting properties of Nd-Ba-Cu-O bulk superconductors, fabricated by the oxygen-controlled melt growth process, has been systematically investigated. Various c-axis textured bulk samples were grown using precursors with the nominal compositions of N $d_{1.8-x}$C $a_{x}$B $a_{2.4}$C $u_{3.4}$ $O_{y}$ (x = 0.00, 0.02, 0.05, 0.10, 0.15) in a reduced oxygen atmosphere of 1% $O_2$ in Ar. Magnetization measurements revealed that the critical temperatures( $T_{c}$) were almost linearly depressed from 95K to 86K with increasing the Ca dopant from x = 0.0 to 0.15, respectively, and thus critical current densities( $J_{c}$) at 77K and for H//c-axis of specimens were gradually degraded with increasing x. Compositional analyses revealed that although the amounts of the Ca dopant both in NdB $a_2$C $u_3$ $O_{y}$(Nd123) and N $d_4$B $a_2$C $u_2$ $O_{10}$(Nd422) were increased with increasing x, only less than half of the initial Ca compositions were detected in melt-grown Ca-doped Nd-Ba-Cu-O bulk crystals. The supression of $T_{c}$ is attributed to an increased Nd substitution for the Ba site in the Nd123 superconducting matrix with increasing the amount of the Ca dopant.t.opant.t.t.t.t.t.

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0.25 ㎛ GaAs pHEMT 공정을 이용한 X-대역 코아-칩의 설계 (Design of X-band Core Chip Using 0.25-㎛ GaAs pHEMT Process)

  • 김동석;이창대;이동현;염경환
    • 한국전자파학회논문지
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    • 제29권5호
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    • pp.336-343
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    • 2018
  • 본 논문에서는 Win 사의 상용 $0.25{\mu}m$ GaAs pHEMT 공정 기술을 이용하여 X-대역(10.5~13 GHz)에서 동작하는 수신부 코아-칩의 설계 및 제작을 보였다. X-대역 코아-칩은 저잡음증폭기, 4-비트 위상천이기, 직렬-병렬 컨버터(SPC: Serial to parallel data converter)로 구성되며, 크기는 $1.75{\times}1.75mm^2$로 지금까지 보고된 코아-칩 중 가장 소형의 크기를 갖는다. 사용 주파수 대역에서 이득 및 잡음지수는 각각 10 dB 이상, 2 dB 미만, 입출력 반사손실은 10 dB 미만이다. RMS 위상 오차는 12.5 GHz에서 $5^{\circ}$ 미만, P1dB는 2 dBm으로 타 코아-칩과 대등한 성능을 갖는다. 제작된 코아칩은 조립의 편의를 제공하기 위해 $3{\times}3mm^2$ 크기를 갖는 QFN 패키지로 패키지되었으며, 패키지된 코아-칩의 성능은 칩-자체의 성능과 거의 같음을 확인하였다.