• Title/Summary/Keyword: $\Omega$ Type

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BLOCH-TYPE SPACE RELATED WITH NORMAL FUNCTION

  • Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.3
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    • pp.533-541
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    • 2011
  • Let ${\omega}$ be a normal function. In this paper, we will extend the concept of Bloch space to Bloch-type space related with normal function ${\omega}$. We will investigate the properties of Bloch-type space ${\mathcal{B}}_{\omega}$ and the little Bloch-type space ${\mathcal{B}}_{{\omega},0}$ with weight ${\omega}$.

Ginsenosides Inhibit N-, p-, arid Q-types but not L-type of $Ca^{2+}$ Channel in Bovine Chromaffin cells

  • Seok Chol;Jung, Se-Yeon;Kim, Hyun-Oh;Kim, Hack-Seang;Hyewhon Rhim;Kim, Seok-Chang;Nah, Seung-Yeol
    • Journal of Ginseng Research
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    • v.24 no.1
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    • pp.18-22
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    • 2000
  • In previous reports we have shown that ginsenosides inhibit high threshold voltage-dependent $Ca^{2+}$ channels in neuronal cells. However, these studies did not show whether ginsenosides-induced inhibition of $Ca^{2+}$ currents discriminates among the various $Ca^{2+}$ channel subtypes, although it is known that there are at least five different $Ca^{2+}$ channel subtypes in neuronal cells. In this study we investigated the effect of ginsenosides on high threshold voltage-dependent $Ca^{2+}$ channel subtypes using their selective $Ca^{2+}$ channel blockers nimodipine (L-type), $\omega$-conotoxin GVIA (N-type), or $\omega$-agatoxin IVA (P-type) in bovine chromaffin cells. We could observe that ginsenosides inhibited high threshold voltage-dependent $Ca^{2+}$ currents in a dose-dependent manner. The $IC_{50}$/ was about 120 $\mu$g/ml. Nimodipine had no effect on ginsenosides response. However, the effect of ginsenosides on $Ca^{2+}$ currents was reduced by $\omega$-conotoxin GVIA, $\omega$-agatoxin IVA, and mixture of nimodipine, $\omega$-contoxin GVIA, and $\omega$-agatoxin IVA. These data suggest that ginsenosides are negatively coupled to three types of calcium channels in bovine chromaffin cell, including an $\omega$-conotoxin GVIA-sensitive (N-type) channel, an $\omega$-agatoxin IVA-sensitive (P-type) channel and nimodipine/$\omega$-conotoxin GVIA/$\omega$-agatoxin IVA-resistant (presumptive Q-type) channel.Q-type) channel.

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Experimental Analysis for Forming $\Omega$-type Bellows ($\Omega$-형 벨로즈관의 성형을 위한 실험적 연구)

  • 구현성;김낙수
    • Transactions of Materials Processing
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    • v.3 no.3
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    • pp.347-358
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    • 1994
  • The purpose of the study is to form $\Omega$-type bellows without any defect by specific rollers which are designed based on the volume distribution technique. In the present paper, we proposed a forming process of existing U-type bellows to a value-added $\Omega$-type in a progressive manner. It was developed to shape a perfect $\Omega$-type bellows after preforming from initial U-type bellows to final U-type bellows. To examine the suggested 'processing condition design' some experiments were performed in a real scale. It was found out that the spring back effect played a major role in deviating the geometry of formed bellows from the predicted one. The problems found in the experiment can be used as important information in manufacturing equipment for forming $\Omega$-type bellows.

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A clean technology development and the molybdenum dissolution reaction with hydrogen peroxide (과산화수소를 이용한 몰리브덴(Mo) 용해 반응과 이에대한 청정기술 개발에 관한 연구)

  • 김재우;강수정;김남기
    • Journal of environmental and Sanitary engineering
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    • v.18 no.2
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    • pp.1-8
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    • 2003
  • The advantages of hydrogen peroxide dissolution method were no discharge of noxious matter when dissolution of molybdenum wire which used as the center supporter, reactions occur in room temperature. The results were as follows : 1. In the FL/10-A type: Dissolution-reaction Time was 50Min., C.R.(Coil resistance) was $9.27{\Omega}(St.{\;}:{\;}9.2{\pm}0.22{\Omega})$, P.W.(Piece weight) was $10.59mg(St.{\;}:{\;}10.5{\pm}0.26mg)$. In the FL/15-D type: Dissolution-reaction Time was 55Min., C.R. was $6.39{\Omega}(St.{\;}:{\;}6.38{\pm}0.02{\Omega})$, P.W. was $16.7mg(St.{\;}:{\;}16.5{\pm}0.3mg)$. In the FL/20-H type: Dissolution-reaction Time was 45Min., C.R. was $4.7{\Omega}(St.{\;}:{\;}4.6{\pm}0.3{\Omega})$, P.W. was $20.8mg(St.{\;}:{\;}20{\pm}1.5mg)$. In the FL/20-C type: Dissolution-reaction Time was 60Min., C.R. was $4.5{\Omega}(St.{\;}:{\;}4.6{\pm}0.3{\Omega})$, P.W. was $19.8mg(St.{\;}:{\;}19{\pm}1.0mg)$. 2. In the GLS-230/40-B type: Dissolutiona-reaction Time was 45Min., C.R. was $105.1{\Omega}(St.{\;}:{\;}104{\pm}2.6{\Omega})$, P.W was $6.37mg(St.{\;}:{\;}6.3{\pm}0.16mg)$. In the GLS-230/60-F type: Dissolution- reaction Time was 45Min., C.R. was $65.92{\Omega}(St.{\;}:{\;}65{\pm}1.62{\Omega})$, P.W. was $11.91mg(St.{\;}:{\;}11.8{\pm}0.29mg)$.

The combination of canagliflozin and omega-3 fatty acid ameliorates insulin resistance and cardiac biomarkers via modulation of inflammatory cytokines in type 2 diabetic rats

  • Safhi, Mohammed Mohsen;Anwer, Tarique;Khan, Gyas;Siddiqui, Rahimullah;Sivakumar, Sivagurunathan Moni;Alam, Mohammad Firoz
    • The Korean Journal of Physiology and Pharmacology
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    • v.22 no.5
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    • pp.493-501
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    • 2018
  • The present study was carried out with the hypothesis that combination of canagliflozin and omega-3 fatty acid may have potential effect on insulin level, insulin resistance, cardiac biomarkers, inflammatory cytokines and histological studies in type 2 diabetes mellitus (DM). Type 2 DM was induced by injecting nicotinamide (120 mg/kg, i.p.) 15 min before STZ (60 mg/kg) injection. Canagliflozin (5 and 10 mg/kg) and omega-3 fatty acid (300 mg/kg) were given for 28 days after confirmation of diabetes. Biochemical estimations revealed elevated levels of glucose, insulin, HOMA-R and inflammatory cytokines in diabetic group. Daily dosing of alone canagliflozin and omega-3 fatty acid slightly reduced elevated levels of glucose, insulin, HOMA-R and inflammatory cytokines ($IL-1{\beta}$, IL-2, and $TNF{\alpha}$), whereas canagliflozin and omega-3 fatty acid combination has reduced these biochemical parameters significantly when compared with diabetic group. Similarly in diabetic group the levels of cardiac biomarkers such as lipid profile, LDH, CKMB and troponin were significantly increased. Elevated levels of cardiac biomarkers were significantly reduced after daily dosing of alone canagliflozin and omega-3 fatty acid. Canagliflozin and omega-3 fatty acid combination has offered better improvement in cardiac biomarkers compared to alone canagliflozin and omega-3 fatty acid. Histopathological analysis also supported the above hypothesis that combination therapy (canagliflozin and omega-3 fatty acid) offered better protection against degenerative changes in ${\beta}-cells$ of pancreas as compared to alone treatment with these drugs. Thus the present study revealed that canagliflozin and omega-3 fatty acid can be used as potential combination therapy in type 2 DM along with cardiac complication.

THE COHEN TYPE THEOREM FOR S-⁎ω-PRINCIPAL IDEAL DOMAINS

  • Lim, Jung Wook
    • East Asian mathematical journal
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    • v.34 no.5
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    • pp.571-575
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    • 2018
  • Let D be an integral domain, ${\ast}$ a star-operation on D, and S a (not necessarily saturated) multiplicative subset of D. In this article, we prove the Cohen type theorem for $S-{\ast}_{\omega}$-principal ideal domains, which states that D is an $S-{\ast}_{\omega}$-principal ideal domain if and only if every nonzero prime ideal of D (disjoint from S) is $S-{\ast}_{\omega}$-principal.

ON SOME p(x)-KIRCHHOFF TYPE EQUATIONS WITH WEIGHTS

  • Chung, Nguyen Thanh
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.113-128
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    • 2014
  • Consider a class of p(x)-Kirchhoff type equations of the form $$\left\{-M\left({\int}_{\Omega}\;\frac{1}{p(x)}{\mid}{\nabla}u{\mid}^{p(x)}\;dx\right)\;div\;({\mid}{\nabla}u{\mid}^{p(x)-2}{\nabla}u)={\lambda}V(x){\mid}u{\mid}^{q(x)-2}u\;in\;{\Omega},\\u=0\;on\;{\partial}{\Omega},$$ where p(x), $q(x){\in}C({\bar{\Omega}})$ with 1 < $p^-\;:=inf_{\Omega}\;p(x){\leq}p^+\;:=sup_{\Omega}p(x)$ < N, $M:{\mathbb{R}}^+{\rightarrow}{\mathbb{R}}^+$ is a continuous function that may be degenerate at zero, ${\lambda}$ is a positive parameter. Using variational method, we obtain some existence and multiplicity results for such problem in two cases when the weight function V (x) may change sign or not.

WEKGHTED WEAK TYPE ESTIMATES FOR CERTAIN MAXIMAL OPERATORS IN SPACES OF HOMOGENEOUS TYPE

  • Yoo, Yoon-Jae
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.25-31
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    • 1999
  • Let $\nu$ be a positive Borel measure on a space of homogeneous type (X, d, $\mu$), satisfying the doubling property. A condition on a weight $\omega$ for whixh a maximal operator $M\nu f$(x) defined by M$mu$f(x)=supr>0{{{{ { 1} over {ν(B(x,r)) } INT _{ B(x,r)} │f(y)│d mu (y)}}}}, is of weak type (p,p) with respect to (ν, $omega$), is that there exists a constant C such that C $omega$(y) for a.e. y$\in$B(x, r) if p=1, and {{{{( { 1} over { upsilon (B(x,r) } INT _{ B(x,r)}omega(y) ^ (-1/p-1) d mu (y))^(p-1)}}}} C, if 1$infty$.

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ω-INTERPOLATIVE CONTRACTIONS IN BIPOLAR METRIC SPACES

  • Jong Kyu Kim;Manoj Kumar;Pankaj
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.383-394
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    • 2023
  • In this paper, we shall introduce the new notions of ω-orbital admissible mappings, ω-interpolative Kannan type contraction and ω-interpolative Ciric-Reich-Rus type contraction. In the setting of these new contractions, we will prove some fixed point theorems in bipolar metric spaces. Some existing results from literature are also deduced from our main results. Some examples are also provided to illustrate the theorems.

A clean technology development using the molybdenum dissolution reaction with hydrogen peroxide/UV/Ozone ($오존/UV/H_2O_2$를 이용한 몰리브덴(Mo) 용해 반응에 따른 청정기술 개발에 관한 연구)

  • 김재우;홍종순;신대윤
    • Journal of environmental and Sanitary engineering
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    • v.14 no.4
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    • pp.143-149
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    • 1999
  • In the tungsten industry as light source material, tungsten filament which used as light source material could form after molybdenumwire which used as the center supporter for coil shape tungsten wire was removed. This process uses hydrogen peroxide, Ozone and UV(Ultraviolet)Lamp, for the quantity of hydrogen peroxide decrease. The results were as follows : 1. An incandescent electric Lamp type : FL(FL-20) type : A standard of commodity (P.W.: $19{\pm}1.0mg$, $C.R:4.5{\pm}0.3{\Omega}$) 1) Only hydrogen peroxide treated ; Reaction Time : 65Min., P.W.: 18.60mg, $C.R.:4.60{\Omega}$ 2) Ozone/Ultraviolet/70% of hydrogen peroxide; Reaction Time : 64Min., P.W.: 18.61mg, C.R.: $4.61{\Omega}$ 2. A Fluorescent Lamp Type : GLS(GLS-40) Type : A standard of commodity(P.W.: $11.8{\pm}0.2mg$$65{\pm}1.5{\Omega}$) 1) Only hydrogen peroxide treated ; Reaction Time: 72Min, P.W.:11.88mg, C.R.: $65.62\Omega$ 2) Ozone/Ultraviolet/70% of hydrogen peroxide;Reaction Time:71Min., P.W.:11.88mg, C.R.: $65.63\Omega$

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