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ESTIMATE FOR BILINEAR CALDERÓN-ZYGMUND OPERATOR AND ITS COMMUTATOR ON PRODUCT OF VARIABLE EXPONENT SPACES

  • Guanghui, Lu;Shuangping, Tao
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.6
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    • pp.1471-1493
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    • 2022
  • The goal of this paper is to establish the boundedness of bilinear Calderón-Zygmund operator BT and its commutator [b1, b2, BT] which is generated by b1, b2 ∈ BMO(ℝn) (or ${\dot{\Lambda}}_{\alpha}$(ℝn)) and the BT on generalized variable exponent Morrey spaces 𝓛p(·),𝜑(ℝn). Under assumption that the functions 𝜑1 and 𝜑2 satisfy certain conditions, the authors proved that the BT is bounded from product of spaces 𝓛p1(·),𝜑1(ℝn)×𝓛p2(·),𝜑2(ℝn) into space 𝓛p(·),𝜑(ℝn). Furthermore, the boundedness of commutator [b1, b2, BT] on spaces Lp(·)(ℝn) and on spaces 𝓛p(·),𝜑(ℝn) is also established.

Microwave Dielectric Properties of (Ba1-xNax)(Mg0.5-2xY2xW0.5-xTax)O3 Ceramics

  • Hong, Chang-Bae;Kim, Shin;Kwon, Sun-Ho;Yoon, Sang-Ok
    • Journal of the Korean Ceramic Society
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    • v.56 no.4
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    • pp.399-402
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    • 2019
  • The phase evolution, microstructure, and microwave dielectric properties of (Ba1-xNax)(Mg0.5-2xY2xW0.5-xTax)O3 (0 ≤ x ≤ 0.05) ceramics were investigated. All compositions exhibited a 1:1 ordered perovskite structure. As the value of x increased, the dielectric constant (εr) exhibited a tendency to increase slightly. The quality factor reached the maximum value at x = 0.01. The temperature coefficient of resonant frequency (τf) increased from -19.32 ppm/℃ to -5.64 ppm/℃ in the positive direction as x increased. The dielectric constant (εr), quality factor (Q × f0), and temperature coefficient of resonant frequency (τf) of the composition x = 0.05, i.e., (Ba0.95Na0.05)(Mg0.4Y0.1W0.45Ta0.05)O3 were 19.9, 128,553 GHz, and -5.6 ppm/℃, respectively.

INTEGER POINTS ON THE ELLIPTIC CURVES INDUCED BY DIOPHANTINE TRIPLES

  • Park, Jinseo
    • Communications of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.745-757
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    • 2020
  • A set {a1, a2, …, am} of positive integers is called a Diophantine m-tuple if aiaj + 1 is a perfect square for all 1 ≤ i < j ≤ m. In this paper, we find the structure of a torsion group of elliptic curves Ek constructed by a Diophantine triple {F2k, F2k+2, 4F2k+1F2k+2F2k+3}, and find all integer points on the elliptic curve under assumption that rank(Ek(ℚ)) = 2.

Effect of GA3 Treatment on the Flowering in Tuber of Zantedeschia 'Black Magic' (GA3 처리가 유색칼라 괴경의 개화에 미치는 영향)

  • Park, Nou-Bog;Lim, Hoe-Chun
    • Journal of Practical Agriculture & Fisheries Research
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    • v.7 no.1
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    • pp.90-96
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    • 2005
  • Tubers(4-5cm diameter) of Zantedeschia 'Black Magic' were used to study the induction of flowering in GA3 soaking times and concentration. The GA3 soaking were 10 seconds and 30 minutes at the GA3 concentrations of 50, 100, 250, and 500 mg·L1. The time to emergence in GA3 treatment were 1.1~4.0 days shorter than control Growth characteristics were good in GA3 treatment but that was no significance in GA3 soaking time and concentration. When GA3 soaking time and concentration were increased, days to flowering was shorter, but flower stalk length, flower stalk width, flower length, flower width were no difference. The number of flower per tuber was most as 4.0~4.3 in 250~500 mg·L1 GA3 concentration and that was about 2 times compared to control. The normal flower ratio and bulb enlargement were similar compared with GA3 soaking time and concentration. GA3 250~500 mg·L1 treatment is necessary for improvement of number of flowers per bulb.

Electrochemical Properties of Hydrogen Absorbing Ability Ti1-XZrxVNi Ti1-XZrxV0.5Ni1.5 Alloys (Ti1-XZrxVNi 및 Ti1-XZrxV0.5Ni1.5계 수소저장합금의 전기화학적 성질)

  • Cho, Tae-Hwan;Park, Chan-Kyo
    • Transactions of the Korean hydrogen and new energy society
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    • v.2 no.1
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    • pp.15-21
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    • 1990
  • Nickel-hydrogen battery systems with metal hydride alloys are expected to have both higher energy density and lower pollution than nickel-cadmium cells. Nickel-hydrogen storage cells are expected to be well-suited for use in space crafts for a large capacity power storage system. Their major advantages are not only a capability of deep DOD(depth of discharge) using but also with excellent durability under excessive overcharging and overdischarging. In this study, the charge/discharge capacities, anodic polarization characteristics and durability for the continious charge/diacharge cycling of the $Ti_{1-X}Zr_XVNi$ and $Ti_{1-X}Zr_XV_{0.5}Ni_{1.5}$ alloys were measured by electrochemical method. The electrode properties of the copper or nickel plated $Ti_{1-X}Zr_XV_{0.5}Ni_{1.5}$ alloys were examined with a battery charge/discharge testing system in the temperature range of -5 to $25^{\circ}C$.

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Low Temperature Thermoelectric Power Properties in La2.1Sr1.9Mn3O10 System (저온에서의 La2.1Sr1.9Mn3O10 세라믹스의 열기전력 특성)

  • 정우환
    • Journal of the Korean Ceramic Society
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    • v.40 no.9
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    • pp.849-854
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    • 2003
  • Temperature dependent thermoelectric power (TEP) of La$_{2.1}$ Sr$_{1.9}$ Mn$_3$O$_{10}$ system has been studied in the temperature range 80-373 K. In the low temperature ferromagnetic regime, TEP (S) follows an expression of formS=S$_{0}$ +S$_{1.5}$ T$^{1.5}$ +S$_4$T$^4$ over the wide range of temperature. The broad peak below the ferromagnetic transition and complicated temperature dependence of S may be understood on the basis of electron-magnon scattering as predicted for an itinerant ferromagnet. High temperature TEP data can be well fitted with Mott's small polaron hopping model.

PAIR DIFFERENCE CORDIALITY OF CERTAIN SUBDIVISION GRAPHS

  • R. PONRAJ;A. GAYATHRI;S. SOMASUNDARAM
    • Journal of applied mathematics & informatics
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    • v.42 no.1
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    • pp.1-14
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    • 2024
  • Let G = (V, E) be a (p, q) graph. Define $$\begin{cases}\frac{p}{2},\:if\:p\:is\:even\\\frac{p-1}{2},\:if\:p\:is\:odd\end{cases}$$ and L = {±1, ±2, ±3, ···, ±ρ} called the set of labels. Consider a mapping f : V → L by assigning different labels in L to the different elements of V when p is even and different labels in L to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd.The labeling as defined above is said to be a pair difference cordial labeling if for each edge uv of G there exists a labeling |f(u) - f(v)| such that |Δf1 - Δfc1| ≤ 1, where Δf1 and Δfc1 respectively denote the number of edges labeled with 1 and number of edges not labeled with 1. A graph G for which there exists a pair difference cordial labeling is called a pair difference cordial graph. In this paper we investigate the pair difference cordial labeling behavior of subdivision of some graphs.

Evaluation of HbA1c Levels Via the Latex Immunoturbidimetric Method by Using Chemistry Autoanalyzer (자동화학분석기에서의 라텍스 면역비탁법의 Autolab HbA1c 평가)

  • Jo, Yongjun;Lee, So-young;Park, Hae-il;Kim, YeongSic;Lee, Jehoon;Kim, Yonggoo;Han, Kyungja
    • Laboratory Medicine Online
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    • v.2 no.1
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    • pp.10-14
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    • 2012
  • Background: Measurement of HbA1c levels is widely used to diagnose diabetes mellitus and to evaluate and monitor plasma-glucose concentrations over 6-8 weeks. In this study, we evaluated the diagnostic performance of the newly developed latex immunoturbidimetric method by using Autolab HbA1c. Methods: We analyzed and compared the diagnostic performance of Autolab HbA1c with that of Toshiba 200FR between April 2009 and July 2009. According to guidelines (EP5-A2, EP6-P, EP9-A2) of the clinical and laboratory standards institute (CLSI), we compared linearity, precision and correlation of Autolab HbA1c with those of G7 (Tosoh Corp., Kyoto, Japan) by using high-performance liquid chromatography (HPLC) method. Results: Data obtained using Autolab HbA1c showed good linearity in mixtures of samples with low (3.1%) and high (15.1%) levels of HbA1c (r2=0.9997). In the analysis of within-run precision of the samples with HbA1c levels of 5.1% and 12.1%, the SDs were 0.04 and 0.06 and covariances of these samples were 0.8% and 0.5%, respectively. In the Deming regression model, the regression equation was as follows: Autolab HbA1c=1.0859×Tosoh HPLC-0.6957. Conclusions: In this study, Autolab HbA1c method showed better performance characteristics than Tosoh G7 did. In reference review, there was no interference of variant hemoglobin. The data acquisition time of Autolab HbA1c was lower than that of Tosoh G7. The advantages of Autolab HbA1c are that it can be used as an autoanlyzer in routine chemical analysis, it does not require pre-analytical treatment, and the samples are automatically treated with distilled water for hemolysis.

Enhancement of Density and Piezoelectric Properties of 0.96(K0.456Na0.536)Nb0.95Sb0.05-0.04Bi0.5(Na0.82K0.18)0.5ZrO3 Lead-Free Piezoelectric Ceramics through Two-Step Sintering Method (Two-Step 소결법을 통한 0.96(K0.456Na0.536)Nb0.95Sb0.05-0.04Bi0.5(Na0.82K0.18)0.5ZrO3 무연 압전 세라믹의 밀도 및 압전 특성 향상)

  • Il-Ryeol Yoo;Sang-Hyun Park;Seong-Hui Choi;Kyung-Hoon Cho
    • Korean Journal of Materials Research
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    • v.34 no.2
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    • pp.116-124
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    • 2024
  • In this study, we investigated the microstructure and piezoelectric properties of 0.96(K0.456Na0.536)Nb0.95Sb0.05-0.04Bi0.5(Na0.82K0.18)0.5ZrO3 (KNNS-BNKZ) ceramics based on one-step and two-step sintering processes. One-step sintering led to significant abnormal grain (AG) growth at temperatures above 1,085 ℃. With increasing sintering temperature, piezoelectric and dielectric properties were enhanced, resulting in a high d33 = 506 pC/N for one-step specimen sintered at 1,100 ℃ (one-step 1,100 ℃ specimen). However, for one-step 1,115 ℃ specimen, a slight decrease in d33 was observed, emphasizing the importance of a high tetragonal (T) phase fraction for superior piezoelectric properties. Achieving a relative density above 84 % for samples sintered by the one-step sintering process was challenging. Conversely, two-step sintering significantly improved the relative density of KNNS-BNKZ ceramics up to 96 %, attributed to the control of AG nucleation in the first step and grain growth rate control in the second step. The quantity of AG nucleation was affected by the duration of the first step, determining the final microstructure. Despite having a lower T phase fraction than that of the one-step 1,100 ℃ specimen, the two-step specimen exhibited higher piezoelectric coefficients (d33 = 574 pC/N and kp = 0.5) than those of the one-step 1,100 ℃ specimen due to its higher relative density. Performance evaluation of magnetoelectric composite devices composed of one-step and two-step specimens showed that despite having a higher g33, the magnetoelectric composite with the one-step 1,100 ℃ specimen exhibited the lowest magnetoelectric voltage coefficient, due to its lowest kp. This study highlights the essential role of phase fraction and relative density in enhancing the performance of piezoelectric materials and devices, showcasing the effectiveness of the two-step sintering process for controlling the microstructure of ceramic materials containing volatile elements.

Adsorption Characteristics of Pesticides in Zeolites

  • Chang-Han Lee;Kil-Seong Kim;Sang-Kyu Kam
    • Journal of Environmental Science International
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    • v.31 no.12
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    • pp.1103-1115
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    • 2022
  • The adsorption characteristics of four pesticides (phosphamidon, fenitrothion, triadimefon, and diniconazole) on natural clinoptilolite (CLIN) and three synthetic zeolites were investigated. The synthetic zeolites included faujasite (FAUF) synthesized from coal fly ash; the mixture of FAU and Na-P1 (FAU + Na-P1)SF synthesized using Jeju scoria and coal fly ash at the ratio of 1.5 by weight; and waste fluid catalytic cracking catalyst (FCCW). The distribution coefficient, KD and the Freundlich constant, KF decreased in the following sequence: FCCW > FAUF > (FAU + Na-P1)SF > CLIN among the zeolites and diniconazole>fenitrothion> triadimefon> phosphamidon among the pesticides. The pesticide adsorptivity increased with increasing temperature for FAUF, (FAU+Na-P1)SF and FCCW, however, it decreased for CLIN, regardless of the type of pesticide. The adsorptivity of pesticides was independent of pH for phosphamidon, fenitrothion and triadimefon, whereas it decreased with increasing pH for diniconazole, regardless of zeolite type.