• Title/Summary/Keyword: $Z_2$

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2-COLOR RADO NUMBER FOR x1 + x2 + ⋯ + xn = y1 + y2 = z

  • Kim, Byeong Moon;Hwang, Woonjae;Song, Byung Chul
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.379-389
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    • 2020
  • An r-color Rado number N = R(𝓛, r) for a system 𝓛 of equations is the least integer, provided it exists, such that for every r-coloring of the set {1, 2, …, N}, there is a monochromatic solution to 𝓛. In this paper, we study the 2-color Rado number R(𝓔, 2) for 𝓔 : x1 + x2 + ⋯ + xn = y1 + y2 = z when n ≥ 4.

Synthesis and Crystal Structure of Nickel(II) Complex of trans-1,2-Diaminocyclohexane (Nickel(II) trans-1,2-Diaminocyclohexane 착물의 합성 및 결정 구조)

  • ;;;;dward R. T. Tiekink
    • Korean Journal of Crystallography
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    • v.12 no.2
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    • pp.88-91
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    • 2001
  • The complex [NiL₃]Cl₂·3H₂O (1) (L=trans-1,2-diaminocyclohexane) has been synthesized and characterized by X-ray crystallography. The compound 1 crystallizes in the cubic space group P2₁3, with a=13.830(1) Å, V=2645.9(2) ų, Z=4, R₁(wR₂) for 1500 observed reflections of [I> 2σ(I)] was 0.0766 (0.2068).

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ON REVERSIBLE ℤ2-DOUBLE CYCLIC CODES

  • Nupur Patanker
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.443-460
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    • 2023
  • A binary linear code is said to be a ℤ2-double cyclic code if its coordinates can be partitioned into two subsets such that any simultaneous cyclic shift of the coordinates of the subsets leaves the code invariant. These codes were introduced in [6]. A ℤ2-double cyclic code is called reversible if reversing the order of the coordinates of the two subsets leaves the code invariant. In this note, we give necessary and sufficient conditions for a ℤ2-double cyclic code to be reversible. We also give a relation between reversible ℤ2-double cyclic code and LCD ℤ2-double cyclic code for the separable case and we present a few examples to show that such a relation doesn't hold in the non-separable case. Furthermore, we list examples of reversible ℤ2-double cyclic codes of length ≤ 10.

Metabolism of Soyasaponin I by Human Intestinal Microflora and Its Estrogenic and Cytotoxic Effects

  • Chang, Seo-Young;Han, Myung-Joo;Han, Sang-Jun;Kim, Dong-Hyun
    • Biomolecules & Therapeutics
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    • v.17 no.4
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    • pp.430-437
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    • 2009
  • Metabolites of Soyasaponin I, a major constituent of soybean, by human intestinal microflora were investigated by LC-MS/MS analysis. We found four peaks, one parental constituent and three metabolites: m/z 941 [M-H]$^-$, m/z 795 [M-rha-H]$^-$, m/z 441 [aglycone-$H_2O$+H]$^+$, and m/z 633 [M-rha-gal-H]$^-$, which was an unknown metabolite, soyasapogenol B 3-$\beta$-D-glucuronide. When soyasaponin I was incubated with the human fecal microbial fraction from ten individuals for 48 h, soyasaponin I was metabolized to soyasapogenol B via soyasaponin III and soyasapogenol B 3-$\beta$-D-glucuronide or via soyasaponin III alone. Both soyasaponin I and its metabolite soyasapgenol B exhibited estrogenic activity. Soyasaponin I increased the proliferation, mRNA expression of c-fos and pS2, in MCF7 cells more potently than soyasapogenol B. However, soyasapogenol B showed potent cytotoxicity against A549, MCF7, HeLa and HepG2 cells, while soyasaponin I did not. The cytotoxicity of soyasapogenol B may prevent its estrogenic effect from increasing dose-dependently. These findings suggest that orally administered soyasaponin I may be metabolized to soyasapogenol B by intestinal microflora and that soyasapogenol B may express a cytotoxic effect rather than an estrogenic effect.

AKARI SPECTROSCOPY OF QUASARS AT 2.5 - 5 MICRON

  • Im, Myungshin;Jun, Hyunsung;Kim, Dohyeong;Lee, Hyung Mok;Ohyama, Youichi;Kim, Ji Hoon;Nakagawa, Takao;QSONG Team
    • Publications of The Korean Astronomical Society
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    • v.32 no.1
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    • pp.163-167
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    • 2017
  • Utilizing a unique capability of AKARI that allows deep spectroscopy at $2.5-5.0{\mu}m$, we performed a spectroscopy study of more than 200 quasars through one of the AKARI mission programs, QSONG (Quasar Spectroscopic Observation with NIR Grism). QSONG targeted 155 high redshift (3.3 < z < 6.42) quasars and 90 low redshift active galactic nuclei (0.002 < z < 0.48). In order to provide black hole mass estimates based on the rest-frame optical spectra, the high redshift part of QSONG is designed to detect the $H{\alpha}$ line and the rest-frame optical spectra of quasars at z > 3.3. The low redshift part of QSONG is geared to uncover the rest-frame $2.5-5.0{\mu}m$ spectral features of active galactic nuclei to gain useful information such as the dust-extinction-free black hole mass estimators based on the Brackett lines and the temperatures of the hot dust torus. We outline the program strategy, and present some of the scientific highlights from QSONG, including the detection of the $H{\alpha}$ line from a quasar at z > 4.5 which indicates a rigorous growth of black holes in the early universe, and the $Br{\beta}$-based black hole mass estimators and the hot dust temperatures (~ 1100 K) of low redshift AGNs.

Estimating Diameter and Height Growth for Pinus densiflora S. et Z. Using Non-linear Algebraic Difference Equations (비선형(非線型) 대수차분(代數差分) 방정식(方程式)을 이용(利用)한 소나무 직경(直徑) 및 수고(樹高) 생장(生長) 추정(推定))

  • Lee, Sang-Hyun
    • Journal of Korean Society of Forest Science
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    • v.90 no.2
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    • pp.210-216
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    • 2001
  • Pinus densiflora S. et Z. has widely been distributed, and is one of the important main foret resources in Korea. Diameter and height growth patterns were estimated using non-linear algebraic difference equation, which requires two-measurement times $T_1$ and $T_2$. To maximize data use, all possible measurement interval data were derived using Lag and Put statements in the SAS. In results, of the algebraic difference equations applied, the Schumacher and the Gompertz polymorphic equations for diameter and height, respectively showed the higher precision of the fitting. In order to allow more precise estimation of growth than those of the basic Schumacher and the Gompertz, further refinement that combine biological realism as input into the equation would be necessary.

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Characterization of Particulate Emissions from Biodiesel using High Resolution Time of Flight Aerosol Mass Spectrometer

  • Choi, Yongjoo;Choi, Jinsoo;Park, Taehyun;Kang, Seokwon;Lee, Taehyoung
    • Asian Journal of Atmospheric Environment
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    • v.9 no.1
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    • pp.78-85
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    • 2015
  • In the past several decades, biofuels have emerged as candidates to help mitigate the issues of global warming, fossil fuel depletion and, in some cases, atmospheric pollution. To date, the only biofuels that have achieved any significant penetration in the global transportation sector are ethanol and biodiesel. The global consumption of biodiesel was rapidly increased from 2005. The goal of this study was to examine the chemical composition on particulate pollutant emissions from a diesel engine operating on several different biodiesels. Tests were performed on non-road diesel engine. Experiments were performed on 5 different fuel blends at 2 different engine loading conditions (50% and 75%). 5 different fuel blends were ultra-low sulfur diesel (ULSD, 100%), soy biodiesel (Blend 20% and Blend 100%) and canola biodiesel (Blend 20% and Blend 100%). The chemical properties of particulate pollutants were characterized using an Aerodyne High Resolution Time of Flight Aerosol Mass Spectrometer (HR-ToF-AMS). Organic matter and nitrate were generally the most abundant aerosol components and exhibited maximum concentration of $1207{\mu}g/m^3$ and $30{\mu}g/m^3$, respectively. On average, the oxidized fragment families ($C_xH_yO_1{^+}$, and $C_xH_yO_z{^+}$) account for ~13% of the three family sum, while ~87% comes from the $C_xH_y{^+}$ family. The two peaks of $C_2H_3O_2$ (m/z 59.01) and $C_3H_7O$ (m/z 59.04) located at approximately m/z 59 could be used to identify atmospheric particulate matter directly to biodiesel exhaust, as distinguished from that created by petroleum diesel in the AMS data.

Development of an E-learning Education Program for Preventing Nursing Errors and Adverse Events of Operating Room Nurses (수술실의 간호오류 및 과오 예방을 위한 E-learning 실무교육 프로그램의 개발 및 평가)

  • Kim, Jung-Soon;Kim, Myung-Soo;Hwang, Sun-Kyung
    • Korean Journal of Adult Nursing
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    • v.17 no.5
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    • pp.697-708
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    • 2005
  • Purpose: This study was to develop, implement, and evaluate an e-learning education program for improving practical knowledge and preventing nursing errors and adverse events of nurses working in the operating room (OR). Method: The e-learning program was developed and evaluated according to the following processes: 1) preparation phase 2) implementation phase 3) evaluation phase. In evaluation phase, the effectiveness was analyzed based on the Kirkpatrick's model. Results: The e-learning program consisted of OR basic nursing skills and techniques and nursing activities' manual based on the categories of nursing errors: surgical operation preparation, nursing skills and techniques, environment management, patient safety and comfort, and patient monitoring. The program was provided through on-line, http://cafe.daum.net/pnuhorn, for 4 weeks. The mean score(percent) of participants' satisfaction was $21.24{\pm}1.71$(68.2%). Their total knowledge level was significantly improved(Z=-3.00, p=.003) and specifically in the category of environment management(Z=-3.77, p<.001) and patient monitoring(Z=-2.46, p=.014). The occurrence of nursing errors or adverse events was a little decreased, but not statistically significant(Z=-3.10, p=.756). Conclusion: E-learning for nurses is one way of effective and efficient teaching-learning strategies. For better e-learning, it is important to develop the vital content of the education and objective measures for detecting nursing errors and adverse events.

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