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CHARACTERIZATION OF FUNCTIONS VIA COMMUTATORS OF BILINEAR FRACTIONAL INTEGRALS ON MORREY SPACES

  • Mao, Suzhen;Wu, Huoxiong
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.1071-1085
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    • 2016
  • For $b{\in}L^1_{loc}({\mathbb{R}}^n)$, let ${\mathcal{I}}_{\alpha}$ be the bilinear fractional integral operator, and $[b,{\mathcal{I}}_{\alpha}]_i$ be the commutator of ${\mathcal{I}}_{\alpha}$ with pointwise multiplication b (i = 1, 2). This paper shows that if the commutator $[b,{\mathcal{I}}_{\alpha}]_i$ for i = 1 or 2 is bounded from the product Morrey spaces $L^{p_1,{\lambda}_1}({\mathbb{R}}^n){\times}L^{p_2,{\lambda}_2}({\mathbb{R}}^n)$ to the Morrey space $L^{q,{\lambda}}({\mathbb{R}}^n)$ for some suitable indexes ${\lambda}$, ${\lambda}_1$, ${\lambda}_2$ and $p_1$, $p_2$, q, then $b{\in}BMO({\mathbb{R}}^n)$, as well as that the compactness of $[b,{\mathcal{I}}_{\alpha}]_i$ for i = 1 or 2 from $L^{p_1,{\lambda}_1}({\mathbb{R}}^n){\times}L^{p_2,{\lambda}_2}({\mathbb{R}}^n)$ to $L^{q,{\lambda}}({\mathbb{R}}^n)$ implies that $b{\in}CMO({\mathbb{R}}^n)$ (the closure in $BMO({\mathbb{R}}^n)$of the space of $C^{\infty}({\mathbb{R}}^n)$ functions with compact support). These results together with some previous ones give a new characterization of $BMO({\mathbb{R}}^n)$ functions or $CMO({\mathbb{R}}^n)$ functions in essential ways.

POSITIVE SOLUTION FOR SYSTEMS OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS ON TIME SCALES

  • Miao, Chunmei;Ji, Dehong;Zhao, Junfang;Ge, Weigao;Zhang, Jiani
    • The Pure and Applied Mathematics
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    • v.16 no.4
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    • pp.327-344
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    • 2009
  • In this paper, we deal with the following system of nonlinear singular boundary value problems(BVPs) on time scale $\mathbb{T}$ $$\{{{{{{x^{\bigtriangleup\bigtriangleup}(t)+f(t,\;y(t))=0,\;t{\in}(a,\;b)_{\mathbb{T}},}\atop{y^{\bigtriangleup\bigtriangleup}(t)+g(t,\;x(t))=0,\;t{\in}(a,\;b)_{\mathbb{T}},}}\atop{\alpha_1x(a)-\beta_1x^{\bigtriangleup}(a)=\gamma_1x(\sigma(b))+\delta_1x^{\bigtriangleup}(\sigma(b))=0,}}\atop{\alpha_2y(a)-\beta_2y^{\bigtriangleup}(a)=\gamma_2y(\sigma(b))+\delta_2y^{\bigtriangleup}(\sigma(b))=0,}}$$ where $\alpha_i$, $\beta_i$, $\gamma_i\;{\geq}\;0$ and $\rho_i=\alpha_i\gamma_i(\sigma(b)-a)+\alpha_i\delta_i+\gamma_i\beta_i$ > 0(i = 1, 2), f(t, y) may be singular at t = a, y = 0, and g(t, x) may be singular at t = a. The arguments are based upon a fixed-point theorem for mappings that are decreasing with respect to a cone. We also obtain the analogous existence results for the related nonlinear systems $x^{\bigtriangledown\bigtriangledown}(t)$ + f(t, y(t)) = 0, $y^{\bigtriangledown\bigtriangledown}(t)$ + g(t, x(t)) = 0, $x^{\bigtriangleup\bigtriangledown}(t)$ + f(t, y(t)) = 0, $y^{\bigtriangleup\bigtriangledown}(t)$ + g(t, x(t)) = 0, and $x^{\bigtriangledown\bigtriangleup}(t)$ + f(t, y(t)) = 0, $y^{\bigtriangledown\bigtriangleup}(t)$ + g(t, x(t)) = 0 satisfying similar boundary conditions.

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Ductile Fracture Behaviour of SA 533B Pressure Vessel Steel Under Mixed Mode (I/II) Loading (혼합 모드(I/II) 하중에 의한 SA533B 압력용기강의 연성파괴 특성에 관한 연구)

  • O, Dong-Jun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.11
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    • pp.1829-1834
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    • 2001
  • The aim of this study is to investigate the ductile fracture behavior under mixed mode (I/II) loading using SA533B pressure vessel steel. Anti-symmetric 4-point (AS4P) bonding tests were performed to obtain the J-R curves under two different mixed mode (I/II) loadings. In addition, the fractographic examination of fracture surfaces was carried out to compare with those of pure Mode I and Mode II. In conclusions, the J-R curves under Mixed Mode (I/II) loading were located between those of Mode I and Mode II loadings. When the mixture ratio of mixed mode (I/II) loading was high, the J-R currie of mixed mode (I/II) loading approached that of pure mode I loading after some amount of crack propagation. In contrast with the above fact, if the mixture ratio was low, the J-R curve looked after that of pure mode II loading. The fractographic evidences such as the shape of dimples under different loading conditions supported these conclusions.

Inhibitory Effect of Rosa davurica Pall. on LPS-mediated Nitric Oxide Productionvia NF-κB signaling (NF-κB signaling을 통한 Rosa davurica Pall.의 NO 생성 저해 효과)

  • Soon Pyo Kwon;Sun Ryung Lee
    • Journal of Life Science
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    • v.33 no.1
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    • pp.50-55
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    • 2023
  • This study was designed to determine the activities of Rosa davurica Pall. leaf extract and their regulatory mechanisms in macrophage inflammation. Anti-inflammatory potential of Rosa davurica Pall. leaf extract was evaluated by measuring the nitric oxide (NO) release and inducible nitric oxide synthase (iNOS) synthesis in lipopolysaccharide (LPS)-treated macrophage Raw 264.7 cells. Rosa davurica Pall. leaf extract potently inhibited LPS-induced NO release in a dose dependent manner. However, cell viability decreased to about 50% at high dose of 500 ㎍/ml, resulting in cytotoxicity. LPS-induced iNOS protein expression was also reduced significantly after treatment with Rosa davurica Pall. leaf extract. Furthermore, extract of Rosa davurica Pall. attenuated LPS-mediated phosphorylation of IκB and nuclear factor (NF-κB). Suppression of NF-κB signaling by treatment with PDTC, an NF-κB specific inhibitor, accelerated the inhibition of NO production and iNOS protein expression. These results suggest that Rosa davurica Pall. exhibits the anti-inflammatory potential in LPS-induced macrophage inflammation, partly through inhibition of NO production by down-regulation of NF-κB signaling.

A Nursing College Women's Meaning of Labor and Delivery : Phenomenological Method (간호학 전공 여대생이 인지한 분만의 의미에 대한 연구)

  • Yeo, Jung-Hee
    • Women's Health Nursing
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    • v.7 no.2
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    • pp.203-211
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    • 2001
  • A women's meaning about labor and delivery may influence the process of childbirth and performance of the maternal role. Therefore, negative meaning about the birth experience may have a negative impact on the childrearing. The purpose of this study is to explore the meaning of labor and delivery for the strategies of nursing intervention in positive childbirth experience. The data were collected through the in-depth interviews of 10 nursing college women on Jeju Island from October 2000 to January 2001. The interviews were conducted by investigator in the class room after school hours. Each interview lasted for about 30 minutes on average. Subjects were interviewed one at a time. The interviews were recorded with the consent of the subject. The data were analyzed by means of Giorgi's phenomenological analysis methods and catagorized according to the similarities of its contents. The investigator read the data repeatedly to identify the themes and the main meanings. Eight main meanings were identified as follows : 1)pain 2) shame and disgust 3)load 4)naturality 5)unreality 6)happiness 7)anxiety 8)maturity. Under these main meanings there were seventeen themes. I. Pain : (a) It's too painful (b) I don't want to deliver II. Shame and Disgust : (a) I am shameful (b) I am hateful III. Load : (a) I don't feel free (b) I have responsibility IV. Naturality : (a) It's in order to obtain a child (b) It's natural for women (c) It's a destiny of women V. Unreality : I don't feel real VI. Happiness : (a) I am glad (b) I am happy (c) It's miraculous VII. Anxiety : (a) I am anxious (b) I am worried VIII. Maturity : (a) I understand parents (b) I feel great. The results of the study will provide basic data for positive childbirth experience.

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A Generalization of Formal Local Cohomology Modules

  • Rezaei, Shahram
    • Kyungpook Mathematical Journal
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    • v.56 no.3
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    • pp.737-743
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    • 2016
  • Let a and b be two ideals of a commutative Noetherian ring R, M a finitely generated R-module and i an integer. In this paper we study formal local cohomology modules with respect to a pair of ideals. We denote the i-th a-formal local cohomology module M with respect to b by ${\mathfrak{F}}^i_{a,b}(M)$. We show that if ${\mathfrak{F}}^i_{a,b}(M)$ is artinian, then $a{\subseteq}{\sqrt{(0:{\mathfrak{F}}^i_{a,b}(M))$. Also, we show that ${\mathfrak{F}}^{\text{dim }M}_{a,b}(M)$ is artinian and we determine the set $Att_R\;{\mathfrak{F}}^{\text{dim }M}_{a,b}(M)$.

Conversion Equation dB (Rion) to PPV(cm/sec) (dB과 cm/sec간의 환산실험식)

  • Huh Ginn
    • Explosives and Blasting
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    • v.9 no.2
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    • pp.3-7
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    • 1991
  • The Problem of vibration Inflence to housing Construction fields has arised at the begining of 1970, at That time I used Lion(VM -l2B) which recorded only dB Demension. On the 1980's I have been used lnstantel made blastemate(DS-477), modern Instrument for measuring speed, Acc, frequency and placement. but The most of Jobsite used Lion I Carried out the empirical equation of conversion dB to cm /sec as follows. Single free face : dB = 140PPV + 30 double free face : dB = 143PPV + 20 Above equation Could apply on Rock type 3(soft rock)

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Supplementation of Holstein Cows with Low Doses of Bovine Somatotropin (bST) Prepartum and Postpartum Affects Physiological Adaptations and Milk Production

  • Liboni, M.;Gulay, M.S.;Hayen, M.J.;Belloso, T.I.;Head, H.H.
    • Asian-Australasian Journal of Animal Sciences
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    • v.21 no.3
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    • pp.404-413
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    • 2008
  • Major objectives were to evaluate effects of three schemes of bST-supplementation of Holstein cows (142.8 mg/14 d, POSILAC) during the prepartum and/or postpartum periods through 63 d (${\pm}3d$) of lactation. Measures evaluated the potential of treatments to improve body weight (BW) and body condition score (BCS), provoke changes in plasma concentrations of somatotropin (ST) and IGF-I, and improve milk yield, milk composition (percentages of protein and fat, and somatic cell counts), and several calving variables. Multiparous Holstein cows were randomly assigned to a $2{\times}2$ factorial arrangement of treatments (TRT) to give four groups (I = no bST, n = 26; II = bST postpartum, n = 25; III = bST prepartum, n = 27; IV = bST prepartum and postpartum, n = 25). During the prepartum period, cows in groups I and II were not supplemented but those in groups III and IV were supplemented every 2-wk beginning 21 d before expected calving date through calving. During the first 63 DIM only cows in groups II and IV were supplemented with bST. From 64 DIM through the end of lactation cows in all groups were supplemented with the full lactation dose of bST (500 mg/14 d). The BW and BCS were recorded weekly throughout the prepartum and postpartum periods and every 2-wk beyond 70 DIM. Blood samples were collected 3-times a week for analyses of ST and IGF-I. Milk yields were recorded daily though 150 DIM. Prepartum supplementation of bST did not affect BW or BCS, but mean concentrations of ST were increased 12.2% and were 15.5% greater at calving. Overall, mean concentration of IGF-I was not affected by treatment but concentrations were greater at 1 and 2 wk before calving in bST-supplemented cows. During the first 63 DIM the BW and BCS were not affected by treatment. Significant effects of bST-supplementation were detected on concentrations of ST, IGF-I and on milk yield compared to non-supplemented cows in group I. Postpartum concentrations of ST were greater in bST-supplemented cows (TRT II and IV; +41.9 and 54.6%). However, concentrations of IGF-I were greater only in cows in group IV (+25.9%) during the postpartum period. Overall, the three bST-supplemented groups had greater actual milk yield than the control group (I) during the first 63 and 150 DIM. The actual milk yields during 63 and 150 DIM were 6.5 and 4.6 kg/d greater for cows in group IV than cows in group I and the 305-d ME milk yield also was 15.6% greater. No adverse effects of TRT were observed on calf birth weight, colostrum immunoglobulins, ease of calving or other measures evaluated.

A 24 GHz I/Q LO Generator for Heartbeat Measurement Radar System (심장박동 측정 레이더를 위한 24GHz I/Q LO 발생기)

  • Yang, Hee-Sung;Lee, Ockgoo;Nam, Ilku
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.11
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    • pp.66-70
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    • 2016
  • This paper presents an 24 GHz I/Q LO generator for a heartbeat measurement radar system. In order to improve the mismatch performance between I and Q LO signals against process variation, a 24 GHz I/Q LO generator employing a low-pass phase shifter and a high-pass phase shifter composed of inductors and capacitors is proposed. The proposed 24 GHz I/Q LO generator consists of an LO buffer, a low-pass phase shifter and a high-pass phase shifter. It was designed using a 65 nm CMOS technology and draws 8 mA from a 1 V supply voltage. The proposed 24 GHz I/Q LO generator shows a gain of 7.5 dB, a noise figure of 2.3 dB, 0.1 dB gain mismatch and $4.3^{\circ}$ phase mismatch between I and Q-path against process and temperature variations for the operating frequencies from 24.05 GHz to 24.25 GHz.

Shore Attachement of Jet in Flowing Environment (흐름수역에서 ?흐름의 연안귀환)

  • Yoon, Tae Hoon;Yook, Woon Soo;Han, Woon Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4_1
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    • pp.43-52
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    • 1992
  • The shore attachment of jet in a cross flow is analysed by experiments and dimensional analysis. The jet flow is discharged with the same depth as that of the cross flow through a side channel perpendicular to the cross flow through a side channel perpendicular to the cross flow. For a momentum jet, nondimensional attachment length and height are dependent on nondimensional characteristic length $I_m/W$. For a buoyant jet, nondimensional attachment length is affected by $I_b/I_md$ and nondimensional temperature distribution is a function of $x/I_b$ and they all can be predicted as power laws. The shore attachment condition can be specified by velocity ratio R.

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