• Title/Summary/Keyword: $P2X_2$

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Synthesis and X-ray Crystal Structure of the Ethylenediammonium Monohydric Phosphate (Ethylenediammonium Monohydric Phosphate의 합성 및 X-선 결정구조)

  • Tae-Sun Chang;Chong-Hyeak Kim;Deug-Hee Cho;Dong-Koo Lee;Tianyou Song
    • Korean Journal of Crystallography
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    • v.13 no.2
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    • pp.96-100
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    • 2002
  • The title compound, (H/sub 3/NCH/sub 2/CH/sub 2/NH/sub 3/)HPO/sub 4/ (Ⅰ), has been synthesized by hydrothermal technique for the first time and its novel structure analyzed by X-ray single crystallography. The compound (Ⅰ) crystallizes in the monoclinic system, P2/sub 1//c space group with a=10.209(1), b=7.891(1), c= 8.039(1) (equation omitted), β= 92.138(9)°, V=: 647.2(2) (equation omitted), Z=4, R/sub 1/=0.0295 and ωR/sub 2/=0.0811 for 1141 independent reflections. The compound (Ⅰ) is interconnected to give a three-dimensional network through hydrogen-bonding interactions.

SOME REMARKS ON PRIMAL IDEALS

  • Kim, Joong-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.1
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    • pp.71-77
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    • 1993
  • Every ring considered in the paper will be assumed to be commutative and have a unit element. An ideal A of a ring R will be called primal if the elements of R which are zero divisors modulo A, form an ideal of R, say pp. If A is a primal ideal of R, P is called the adjoint ideal of A. The adjoint ideal of a primal ideal is prime [2]. The definition of primal ideals may also be formulated as follows: An ideal A of a ring R is primal if in the residue class ring R/A the zero divisors form an ideal of R/A. If Q is a primary idel of a ring R then every zero divisor of R/Q is nilpotent; therefore, Q is a primal ideal of R. That a primal ideal need not be primary, is shown by an example in [2]. Let R[X], and R[[X]] denote the polynomial ring and formal power series ring in an indeterminate X over a ring R, respectively. Let S be a multiplicative system in a ring R and S$^{-1}$ R the quotient ring of R. Let Q be a P-primary ideal of a ring R. Then Q[X] is a P[X]-primary ideal of R[X], and S$^{-1}$ Q is a S$^{-1}$ P-primary ideal of a ring S$^{-1}$ R if S.cap.P=.phi., and Q[[X]] is a P[[X]]-primary ideal of R[[X]] if R is Noetherian [1]. We search for analogous results when primary ideals are replaced with primal ideals. To show an ideal A of a ring R to be primal, it sufficies to show that a-b is a zero divisor modulo A whenever a and b are zero divisors modulo A.

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X-ray Crystal Structure of Hetaryl Leuco-TAM Dyes, (2Z,2'E)-2,2'-(2-Phenyl Propane-1,3-diylidene) Bis(1,3,3-trimethyl indoline) Derivatives

  • Keum, Sam-Rok;Roh, Se-Jung;Kim, Young-Nan;Im, Do-Hyuck;Ma, So-Young
    • Bulletin of the Korean Chemical Society
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    • v.30 no.11
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    • pp.2608-2612
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    • 2009
  • The unequivocal solid-state structure and stereochemistry of the hetaryl leuco-TAM dye, 2,2’-(2-phenyl propane- 1,3-diylidene) bis(1,3,3- trimethylindoline) derivatives were established using X-ray single crystal analysis. The X-ray crystal analysis showed that the (Z, E)-isomers only formed stereoselectively, with a so-called “threebladed propeller” conformation, from the reaction of a Fischer base and benzaldehyde derivatives. These isomers were stacked in a juxtaposition to form a dimer or a double dimer, adopting either a triclinic, with P-1, or monoclinic crystal system with a space group P21/n in the unit cell of the crystal.

On the asymptotic-norming property in lebesgue-bochner function spaces

  • Cho, Sung-Jin;Lee, Byung-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.2
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    • pp.227-232
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    • 1992
  • In this paper we prove that if (.ohm., .SIGMA., .mu.) is a non-purely atomic measure space and X is strictly convex, then X has the asymptotic-norming property II if and only if $L_{p}$ (X, .mu.), 1 < p < .inf., has the asymptotic-norming property II. And we prove that if $X^{*}$ is an Asplund space and strictly convex, then for any p, 1 < p < .inf., $X^{*}$ has the .omega.$^{*}$-ANP-II if and only if $L_{p}$ ( $X^{*}$, .mu.) has the .omega.$^{*}$-ANP-II.*/-ANP-II.

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A Study for Growth Density on the Pinus thunbergii and Pinus densiflora Communities in area of Busan, Korea (부산일대 곰솔림과 소나무림의 생육 밀도에 관한 연구)

  • Lee, Sang-Cheol;Hong, Suk-Hwan;Kim, Dong-Pil;Choi, Song-Hyun;Ahn, Mi-Yeon
    • Korean Journal of Environment and Ecology
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    • v.32 no.2
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    • pp.215-224
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    • 2018
  • The climate change is expected to weaken the habitat of Pinus densiflora and P. thunbergii, but they are still in high demand for planting. This study aims to suggest the rational community planting design based on natural forests' community structure in the southeastern region of Korea (warm temperate zone). For this study, we surveyed 22 plots of Pinus densiflora community and 60 plots of P. thunbergii community in Busan Metropolitan City which is located in the southeastern part of the Korean peninsula. We investigated the diameter of breath hight (DBH) and population of each tree layer in a $100m^2$ quadrat and used a regression analysis to derive a regression equation for estimating the mean number of planting individuals in each DBH. The coefficient between canopy layer's DBH and growth individuals per unit area ($100m^2$) was 0.700 for P. thunbergii communities and 0.533 for P. densiflora communities, indicating very high explanatory power by single factor. The predicted regression equation of between DBH and growth density was $Y=31.176e^{-0.055x}$ (X=DBH, Υ=growth individuals per $100m^2$) for P. thunbergii communities and $Y=38.351e^{-0.059x}$ for P. densiflora communities. Planting densities of P. densiflora communities and P. thunbergii communities in southeast region were higher than the central region.

COMPUTING THE NUMBER OF POINTS ON GENUS 3 HYPERELLIPTIC CURVES OF TYPE Y2 = X7 + aX OVER FINITE PRIME FIELDS

  • Sohn, Gyoyong
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.17-26
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    • 2014
  • In this paper, we present an algorithm for computing the number of points on the Jacobian varieties of genus 3 hyperelliptic curves of type $y^2=x^7+ax$ over finite prime fields. The problem of determining the group order of the Jacobian varieties of algebraic curves defined over finite fields is important not only arithmetic geometry but also curve-based cryptosystems in order to find a secure curve. Based on this, we provide the explicit formula of the characteristic polynomial of the Frobenius endomorphism of the Jacobian variety of hyperelliptic curve $y^2=x^7+ax$ over a finite field $\mathbb{F}_p$ with $p{\equiv}1$ modulo 12. Moreover, we also introduce some implementation results by using our algorithm.

COMPARISON THEOREMS ON THE OSCILLATION OF A CLASS OF NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLES

  • Karpuz, Basak;Ocalan, Ozkan
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.2
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    • pp.401-409
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    • 2010
  • In this paper, we introduce an iterative method to study oscillatory properties of delay difference equations of the following form ${\nabla}_{\alpha}\;[x(t)\;-\;r(t)x(t\;-\;k)]\;+\;p(t)x(t\;-\;{\tau})\;-\;q(t)x(t\;-\;{\sigma})\;=\;0$, $t\;{\geq}\;t_0$, where $t_0\;{\in}\;\mathbb{R}$, t varies in the real interval ($t_0,\;{\infty}$), $\alpha$ > 0, $\kappa$, $\tau$, ${\sigma}\;{\geq}\;0$, $r\;{\in}\;C\;([t_0-{\alpha},\;{\infty}),\;\mathbb{R}^+$, p, $q\;{\in}\;C\;([t_0,\;{\infty}),\;\mathbb{R}^+)$ and ${\nabla}_{\alpha}x(t)\;=\;x(t)\;-\;x(t\;-\;{\alpha})$ for $t\;{\geq}\;t_0$.

Characterization of amorphous Sb-Bi-Te thin films as a function of Bi concentration (Bi 농도에 따른 비정질 Sb-Bi-Te 박막의 특성)

  • ;D. Mangalaraj
    • Journal of the Korean Vacuum Society
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    • v.11 no.1
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    • pp.28-34
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    • 2002
  • Thin films of $Sb_{2-x}Bi_xTe_3$ (x = 0.0, 0.5, and 1.0) are grown by vacuum evaporation. XRD analysis shows the amorphous nature of the films, and the composition studies confirm the stoichiometry of the films. Microstructural parameters of the films have been calculated and used to explain the electrical and optical properties of the films. It is observed that the carrier type has changed from p- to n-type at higher concentration (x = 1.0) of Bi. The resistivity of the films decreases rapidly with the increase of Bi concentration. However, the refractive index and optical band gap of the films increase with the Bi concentration.

Influencing Factors of the Incidence of Delirium in Elderly Patients with Arthroplasty (인공관절치환수술 노인의 섬망 발생 영향요인)

  • Lee, Young-Whee;Im, Hye-Bin;Jeong, Eun-Jeong;Ma, Hee-Sun
    • Korean Journal of Adult Nursing
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    • v.24 no.4
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    • pp.348-357
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    • 2012
  • Purpose: This retrospective chart review study was carried out in order to examine the frequency of delirium, and to identify the risk factors associated with the development of delirium in elderly patients with arthroplasty. Methods: Data were collected from medical records of patients who received arthroplasty during one and half year in a hospital. Three hundred sixty five patients were selected for the study. The onset of delirium was reviewed based on the result of psychological doctor's consultation or nurse's assessment with Confusion Assessment Method and delirium onset risk factors were examined. Data were analyzed with descriptive statistics, t-test, $x_2$-test, Fisher's exact test and logistic regression analysis. Results: Delirium occurred with 31 patients (8.5%) out of 365 patients who underwent arthroplasty. There were statistically significant differences between incidence of delirium and gender ($x_2$=6.11, p=.025), age ($x_2$=32.81, p<.001), hearing difficulty ($x_2$=8.08, p=.012), albumin level of preoperational day (t=-3.43, p<.001), albumin (t=-2.20, p=.028) and hemoglobin level (t=-2.83, p=.005) of operational day. Age and gender were the most significant predictive factors with regard to the incidence of delirium. Conclusion: Through understanding of these results, nurses will be able to identify those patients who may be at risk for developing delirium in early stages.

A Study on the UV-cut Properties of Cotton Fabrics Treated with UV-absorber (자외선 흡수제 처리 면직물의 소비성능 개선(제1보) - 자외선 차단성능에 관한 연구 -)

  • 강미정;권영아
    • Journal of the Korean Society of Clothing and Textiles
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    • v.25 no.5
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    • pp.925-932
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    • 2001
  • The influence of ultraviolet(UV)-ray in sun light on human skin has been noted. Textiles can provide protection against harmful UV-radiation. Normally UV-absorbing finishes are used to get better protection. The purpose of this study is to evaluate the UV-cut properties of cotton fabrics treated with UV-absorber. 2,2-dihydroxy-4,4-dimethoxbenzophenone, as UV-absorber was applied to 100% cotton fabric. Reagents added in finishing solution were Triton X-100, polyethylene glycol 400, and $MgCl_2{\cdot}6H_2O$, and C.I. Direct Red 81. Both untreated and treated cotton fabrics were exposed to a xenon arc lamp for 20 and 80 hours. UV absorption spectra of finishing solutions and UV transmission spectra of fabrics were measured by the UV/VIS spectrophotometer. The results of this study can be summarized as follows. The results of this study can be summarized as follows. Absorption and the related transmission spectra were modified in a controlled way with UV-absorber. Absorption effect of UV-absorber was improved by adding Triton X-100, PEG 400, and $MgCl_2{\cdot}6H_2O$ in finishing solution. The UV absorption of finishing solution was in the following order: U/D/T/P/M>D/T/P/M> D/T> D/P, D>U/T/P/M>U/T>T/P/M>T. The UV transmittance of cotton fabrics was remarkably decreased by the application of UV-absorber and additives. The UV-cut properties were most improved by the application of U/D/T/P/M.

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