• Title/Summary/Keyword: CM Function

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Visual Acuity of Fish - 1 . Relationship Between line Width and Distance at Visual Limit of Filefish Stephanolepis Cirrhifer - (어류의 시각에 관한 연구 - 1 . 쥐치의 시인한계에서의 선의 굵기와 거리와의 관계 -)

  • An, Young-Il;Yang, Yong-Rhim
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.32 no.3
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    • pp.241-248
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    • 1996
  • The relationship between width of line target and distance at the limit of discrimination was examined by means of the behavioral method, for filefish Stephanolepis cirrhifer from 11 to 15cm body length. Target distance was distance from beginning of partition board to target plate, and was varied from 50cm to 200cm. The target plate was made of white acrylic resin with a vertical black line in the center. The width of line target was varied from 0.2mm to 8.0mm. Fish were trained to respond to a line target and the width of line target reduced until the minimum width required to elicit a response was established. Rate of success was expressed as the percentage of target choices in 90 trials. The line acuity of filefish was found to be 0.58 at a target distance of 50cm. The rate of success decreased slowly as line target width decreased from 8.0mm to 1.5mm, and decreased suddenly for target widths less than about 1.5mm. The width of the line target D(mm) at the limit of discrimination was shown to be an exponential function of the target distance L(cm) as follows : D=exp(9.947$\times$$10^-3$.L+0.146)

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Characteristics of BMN Thin Films Deposited on Various Substrates for Embedded Capacitor Applications (임베디드 커패시터의 응용을 위해 다양한 기판 위에 평가된 BMN 박막의 특성)

  • Ahn, Kyeong-Chan;Kim, Hae-Won;Ahn, Jun-Ku;Yoon, Soon-Gil
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.20 no.4
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    • pp.342-347
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    • 2007
  • $Bi_6Mg_2Nb_4O_{21}(BMN)$ thin films were deposited at various substrates by sputtering system for embedded capacitor applications. BMN thin films deposited at room temperature are manufactured as MIM(Metal/Insulator/Metal) structures. Dielectric properties and leakage current density were investigated as a function of various substrates and thickness of BMN thin films. Leakage current density of BMN thin films deposited on CCL(Copper Clad Laminates) showed relatively high value ($1{\times}10^{-3}A/cm^2$) at an applied field of 300 kV/cm on substrates, possibly due to relatively high value of roughness(rms $50{\AA}$) of CCL substrates. 100 nm-thick BMN thin films deposited on Cu/Ti/Si substrates showed the capacitance density of $300 nF/cm^2$, a dielectric constant of 32, a dielectric loss of 2 % at 100 kHz and the leakage current density of $1{\times}10^{-6}A/cm^2$ at an applied field of 300 kV/cm. BMN capacitors are expected to be promising candidates as embedded capacitors for printed circuit board(PCB).

Real Time Monitoring of Ionic Species Generated from Laser-Ablated Pb$(Zr_{0.52}Ti_{0.48})O_3$ Target Using Pulsed-Field Time-Of-Flight Mass spectrometer

  • 최영구;임훙선;정광우
    • Bulletin of the Korean Chemical Society
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    • v.19 no.8
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    • pp.830-835
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    • 1998
  • The characteristics of the ablation plume generated by 532 nm Nd: YAG laser irradiation of a Pb(Zr0.52Ti0.48)O3 (PZT) target have been investigated using a pulsed-field time-of-flight mass spectrometer (TOFMS). The relative abundance of O+, Ti+, Zr+, Pb+, TiO+, and ZrO+ ions has been measured and discussed. TiO+ and ZrO+ ions were also found to be particularly stable within the laser ablation plasma with respect to PbO+ species. The behavior of the temporal distributions of each ionic species was studied as a function of the delay time between the laser shot and the ion extraction pulse. The most probable velocity of each ablated ion is estimated to be Vmp=1.1-1.6x 105 cm/s at a laser fluence of 1.2 J/cm2, which is typically employed for the thin film deposition of PZT. The TOF distribution of Ti+ and Zr+ ions shows a trimodal distribution with one fast and two slow velocity components. The fast velocity component (6.8x 10' cm/s) appears to consist of directly ablated species via nonthermal process. The second component, originated from the thermal evaporation process, has a characteristic velocity of 1.4-1.6 x 105 cm/s. The slowest component (1.2 x 105 cm/s) is composed of a dissociation product formed from the corresponding oxide ion.

CURVES WITH MAXIMAL RANK, BUT NOT ACM, WITH VERY HIGH GENERA IN PROJECTIVE SPACES

  • Ballico, Edoardo
    • Journal of the Korean Mathematical Society
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    • v.56 no.5
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    • pp.1355-1370
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    • 2019
  • A curve $X{\subset}\mathbb{P}^r$ has maximal rank if for each $t{\in}\mathbb{N}$ the restriction map $H^0(\mathcal{O}_{\mathbb{P}r}(t)){\rightarrow}H^0(\mathcal{O}_X(t))$ is either injective or surjective. We show that for all integers $d{\geq}r+1$ there are maximal rank, but not arithmetically Cohen-Macaulay, smooth curves $X{\subset}\mathbb{P}^r$ with degree d and genus roughly $d^2/2r$, contrary to the case r = 3, where it was proved that their genus growths at most like $d^{3/2}$ (A. Dolcetti). Nevertheless there is a sector of large genera g, roughly between $d^2/(2r+2)$ and $d^2/2r$, where we prove the existence of smooth curves (even aCM ones) with degree d and genus g, but the only integral and non-degenerate maximal rank curves with degree d and arithmetic genus g are the aCM ones. For some (d, g, r) with high g we prove the existence of reducible non-degenerate maximal rank and non aCM curves $X{\subset}\mathbb{P}^r$ with degree d and arithmetic genus g, while (d, g, r) is not realized by non-degenerate maximal rank and non aCM integral curves.

UNIQUENESS THEOREM FOR A MEROMORPHIC FUNCTION AND ITS EXACT DIFFERENCE

  • Chen, Shengjiang;Xu, Aizhu
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1307-1317
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    • 2020
  • Let f be a nonconstant meromorphic function of hyper order strictly less than 1, and let c be a nonzero finite complex number such that f(z + c) ≢ f(z). We prove that if ∆cf = f(z + c) - f(z) and f share 0, ∞ CM and 1 IM, then ∆cf = f. Our result generalizes and greatly improves the related results.

A NOTE ON THE BRÜCK CONJECTURE

  • Lu, Feng
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.5
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    • pp.951-957
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    • 2011
  • In 1996, Br$\ddot{u}$ck studied the relation between f and f' if an entire function f shares one value a CM with its first derivative f' and posed the famous Br$\ddot{u}$ck conjecture. In this work, we generalize the value a in the Br$\ddot{u}$ck conjecture to a small function ${\alpha}$. Meanwhile, we prove that the Br$\ddot{u}$ck conjecture holds for a class of meromorphic functions.

VALUE SHARING RESULTS OF A MEROMORPHIC FUNCTION f(z) AND f(qz)

  • Qi, Xiaoguang;Liu, Kai;Yang, Lianzhong
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1235-1243
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    • 2011
  • In this paper, we investigate sharing value problems related to a meromorphic function f(z) and f(qz), where q is a non-zero constant. It is shown, for instance, that if f(z) is zero-order and shares two valves CM and one value IM with f(qz), then f(z) = f(qz).

Ionization of Helium Gas with a Tungsten Tip

  • Kim, Hee-Tae;Yu, Soon-Jae
    • Journal of Information Display
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    • v.10 no.1
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    • pp.45-48
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    • 2009
  • The ionization of a helium atom was investigated as a function of gas pressure, with the use of a tungsten tip. The tungsten tip, to which the external voltage was applied, was used to generate a constant electron current. The ionization current of helium gas was measured as a function of gas pressure. Effective ionization occurred in the pressure range of 0.5-20 torr when the distance between the field emission tip and the collector was 1 cm. The ionization current was linearly proportional to the voltage that was applied to the tungsten tip.

UNIQUENESS OF HOMOGENEOUS DIFFERENTIAL POLYNOMIALS CONCERNING WEAKLY WEIGHTED-SHARING

  • Pramanik, Dilip Chandra;Roy, Jayanta
    • Communications of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.439-449
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    • 2019
  • In 2006, S. Lin and W. Lin introduced the definition of weakly weighted-sharing of meromorphic functions which is between "CM" and "IM". In this paper, using the notion of weakly weighted-sharing, we study the uniqueness of nonconstant homogeneous differential polynomials P[f] and P[g] generated by meromorphic functions f and g, respectively. Our results generalize the results due to S. Lin and W. Lin, and H.-Y. Xu and Y. Hu.

The Effects of Subsoiling at Different Depths and Spacings on Physical Properties of Soil and Rice Yields (심토파쇄(深土破碎) 깊이와 간격(間隔)이 토양(土壤)의 물리성(物理性)과 수도수량(水稻收量)에 미치는 영향(影響))

  • Min, Kyeong-Beom;Kim, Jai-Jong;Cho, Seong-Jin;Im, Jeong-Nam
    • Korean Journal of Soil Science and Fertilizer
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    • v.16 no.3
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    • pp.228-234
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    • 1983
  • The effects of subsoiling on improving soil physical properties for increasing yield of rice were studied at different depths and spacings in a clay loam paddy soils. The results are summarized as follows : 1. Working efficiencies of subsoiling at depth 50cm were lower than those at depth 30cm by tractor, while subsoiling ratios at depth 50cm were higher than those at depth 30cm. 2. During cultivation period, water requirement in 50cm depth subsoiling was higher than that in 30cm depth subsoiling. Water requirement in the central part was more rapid about 1.0-2.0mm/day than in the middle between two neighbouring central points. 3. Soil physical properties such as hardness, bulk density and porosity were significantly improved by subsoiling and the subsoiling effects have been continued until the second year. Negative correlations between yield and bulk density or hardness of subsoil were observed. 4. A lograrithmic function was observed between rice yield ($\hat{Y}$) and subsoiling ratio(X) at depth of 20cm. The optimum space for subsoiling in 30 and 50cm depth. was 80 and 120cm, respectively.

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