• Title/Summary/Keyword: k-reducible

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Synthesis and Characterization of Acrylic-Modified Water-Reducible Alkyd Resin 2. Modification by MA and TMPTA Graft Copolymerization (수용성 아크릴 변성 알키드 수지의 합성과 물성 2. MA 및 TMPTA 공중합체에 의한 변성)

  • Cho, Young-Ho;Kang, Ki-Joon;Noh, Si-Tae
    • Applied Chemistry for Engineering
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    • v.5 no.4
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    • pp.698-705
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    • 1994
  • The basic medium oil modified alkyd resin was synthesized from linseed oil fatty acid(LOFA), phthalic anhydride(PAA), maleic anhydride(MA) and trimethylol propane(TMP) by condensation polymerization at $230^{\circ}C$. MA/TMPTA modified water-reducible alkyd resins were synthesized with TMPTA graft copolymerization onto the basic resin at $180^{\circ}C$. Acid value of the resin was controlled by the addition amount of MA and N,N-dimethylethanol amine(DMEA) was used as a neutralizing agent to prepare of the water-reducible alkyd resin. The effect of TMPTA on the graft copolymerization of the resin was studied by measuring molecular weight glass transition temperature(Tg), viscosity, graft efficiency, and gel contents of melanin cured film. Heat resistance, UV resistance and water resistance of cured film of MA/TMPTA modified resin was compared to those of TMA/TMPTA modified alkyd resin. The molecular weight, viscosity gel contents and graft efficiency of water reducible alkyd resin were increased according to the TMPTA graft copolymerization, but Tg was decreased. The viscosity was lower when the solid contents reached 40% than that of 30% content and also and also became lower with the extent of neutralization ratio, The heat resistance, UV resistance and water resistance of the MA/TMPTA modified alkyd resis were better than those of TMA/TMPTA modified alkyd resin but the storage stability of the TMA/TMPTA alkyd resis was better than that of MA/TMPTA modified alkyd resin.

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The Effect of Joint Space Pumping Treatment in Patients with Reducible Disc Displacement Accompanied by TMJ Sound and Pain (악관절잡음 및 동통을 동반한 정복성 관절원판 변위환자에 대한 관절강 Pumping 효과)

  • Kim, Hyeon-Cheol;Choi, Jong-Hoon;Park, Hye-Suk;Kim, Chong-Youl
    • Journal of Oral Medicine and Pain
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    • v.24 no.1
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    • pp.9-24
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    • 1999
  • Pumping into the upper joint cavity of the TMJ was done on patients who had reducible disc displacement with pain. This article discusses the change in TMJ sounds before and after the Pumping treatment. 20subjects(mean age of $32.1{\pm}10.2yr$)were selected among those who visited the department of Oral Medicine of Yonsei University for the treatment of craniomandibular dysfunctions. Through a thorough history taking, clinical exam and X-ray taking these subjects were diagnosed as reducible disc displacement patients, and they were subdivided into two groups as acute and chronic according to the time the TMJ sound was made. Sonopak was used to measure the TMJ sound before, right after and one-week after the Pumping treatment. VAS was used to measure the degree of subjective TMJ complaints(sounds and pain) before and one-week after the Pumping treatment. Vibration related items included total integral, high integral, low integral, ratio of high integral to low integral, peak amplitude, peak frequency and median frquency. 1. It was not statistically significant between the acute and chronic groups before the treatment. However, total integral, high integral, low integral, peak amplitude, peak frequency, median frequency showed to be greater in the chronic group. 2. In all the subjects, just after the Pumping treatment was done, total integral, high and low integral, peak amplitude and peak frequency significantly decreased (p<0.05). Even after one week, low integral, peak frequency and median frequency significantly decreased (p<0,05), and the TMJ sound diminished accordingly. 3. Comparing the two groups(before and right after the Pumping treatment), there was the following difference ; in the acute group, high integral, high amplitude, high frequency and median frequency significantly decreased(p<0.05). In the chronic group, total integral, high integral, low integral, ratio, peak amplitude and peak frequency significantly decreased(p<0,05). It was not statistically significant between the acute and chronic group. 4. Comparing the two groups(right after and one week after the Pumping treatment), there was the following difference : in the acute group, high integral, high amplitude, high frequency and median frequency significantly decreased(p<0.05), In the chronic group, low integral significantly decreased(p<0.05). However, although it was not statistically significant, after one week, there was an increase in total integral, ratio, peak amplitude and peak frequency compared to right after the treatment group. 5. In the VAS of before and one week after the Pumping treatment of the TMJ pain and sound, the TMJ pain significantly decreased(p<0.05) in both the acute and chronic group. However, it was not statistically significant between the two groups. There was a statistically significant decrease(p<0.05) in the TMJ sound in the acute group after one week of Pumping treatment, but no change was notable in the chronic group and it was not statistically significant between the two groups. From the above results, we can conclude that Pumping into the upper joint cavity of patients having reducible disc displacement is effective in reducing clicking and pain. Therefore, it can be applied in diverse clinical fields.

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BACHET EQUATIONS AND CUBIC RESOLVENTS

  • Woo, Sung Sik
    • Communications of the Korean Mathematical Society
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    • v.28 no.4
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    • pp.723-733
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    • 2013
  • A Bachet equation $Y^2=X^3+k$ will have a rational solution if and only if there is $b{\in}\mathbb{Q}$ for which $X^3-b^2X^2+k$ is reducible. In this paper we show that such cubics arise as a cubic resolvent of a biquadratic polynomial. And we prove various properties of cubic resolvents.

Cleavage of Benzyl and p-Methoxybenzyl Ethers Using Chlorosulfonyl Isocyanate Reaction

  • Kim, Ji-Duck;Jung, Young-Hoon
    • Proceedings of the PSK Conference
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    • 2002.10a
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    • pp.349.2-350
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    • 2002
  • Deprotection of the benzyl group has been widely used in multi-step organic synthesis with a variety of reaction conditions. including catalytic hydrogenolysis. Lewis acids such as FeCl$_3$ or MgBr$_2$ and lithium naphthalenide. However. these procedures sometimes can be problematic with multifunctional substrates. such as unsaturated bonds during hydrogenolysis. an acid-labile moiety in FeCl$_3$ and a easily reducible functional group in lithium naphthalenide. (omitted)

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EVALUATION OF INTERNAL DERANGEMENT OF TMJ BY ANALYZING TMJ SOUNDS (측두하악관절잡음을 이용한 악관절내장증 진단)

  • Kim, Tae-Woo;Yang, Won-Sik;Suhr, Cheong-Hoon
    • The korean journal of orthodontics
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    • v.26 no.4
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    • pp.423-439
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    • 1996
  • The purpose of this study was to evaluate the diagnostic value of $SONOPAK^*$ in internal derangement of TMJ by comparing the spectral analysis data of TMJ sounds recorded by SONOPAK with the results of MRI. From the patients who came to Department of Orthodontics, Seoul National University Dental Hospital for treatment of malocclusion, eighteen adult patients (five males and thirteen females) with TMD symptoms were selected. After joint sounds were checked by a pediatric stethoscope, they were recorded and analyzed by the SONOPAK. The spectral analysis of the SONOPAK provided SONOPAK INTERPRETATION data about the stage of internal derangement, which were compared with the results of MRI. Among the patients whose disc positions were diagnosed as 'normar by MRI, there were no false positive diagnosis by the SONOPAK INTERPRETATION, But in the cases of anterior disc displacements (reducible and/or nonreducible), most of SONOPAK INTERPRETATION data did not coincide with MRI results. In conclusion, it is not adequate to try to differentiate reducible and non-reducible anterior disc displacements on the basis of joint sounds. And it is recommended not to determine the stage of internal derangement according to the nature of sounds. We suggest that the diagnostic value of the SONOPAK will be enhanced when clinicians combine some other informations such as clinical signs/symptoms and other supplementary diagnostic tools), and that more data be incoporated into the SONOPAK INTERPRETATION software.

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Study on the Accumulation of Iron and Manganese in Relation to the Morphological Characteristics of Paddy Soils (답토양(沓土壤)의 형태적(形態的) 특징(特徵)에 따른 철(鐵) 및 망간의 이동집적(移動集積)에 관(關)한 연구(硏究))

  • Shin, C.S.
    • Applied Biological Chemistry
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    • v.18 no.3
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    • pp.123-144
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    • 1975
  • This study has been carried out to investigate the translocation-illuviation status of iron and manganese, which are striking phenomena in paddy soils, in relation to its morphological characteristics, and to find out a method to identify illuvial layer of iron quantitatively. Determination of active iron and easily reducible manganese content in surface soils of lowland paddy (266 samples) in Korea were conducted. The examination has been made on relationship between morphological, physico-chemical properties of the representative paddy soils (9 series) and iron and manganese content of their horizons. The results are summarized as follows. 1. The poorer the drainage, the higher concentration of active iron and easily reducible manganese were found, and under same drainage condition, the more the sand, the lower the content of them. 2. Irrespective of soil texture and drainage, highly signignificant positive correlation was found between the contents of active iron ($\hat{Y}$) and clay plus silt in surface soils. $$\hat{Y}=0.3929+(0.05352\;X\;clay%)+(0.0001023\;X\;silt%){\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;I$$ No correlation, however, was found between clay content and easily reducible manganese concentration. 3. Significant positive correlation was obtained between active iron ($\hat{Y}$) and total iron (x) content in each profiles of all soil series. Obtained regression equation is as follows; $$\hat{Y}=0.361x-0.480(r=0.651^{**}){\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;{\ldots}\;II$$ On the other hand, easily reducible manganese concentration had a tendency to increase, not significantly, with increasing total manganese concentration. 4. Accumulation of iron and manganese generally can be found in paddy soils, but distinct accumulation was found under moderately well drained fine loamy and clay soils, while surface accumulation occurred under poor drainage without regard to soil texture. 5. Profile description or determination of active iron in each horizon were found to be insufficient to designate illuvial layer of iron. Therefore, identification of illuvial layer of iron based on the ratio of total iron and active iron, and concentration of active iron estimated by the content of clay plus silt (Equation 1 above) was thought to be reasonable. Also, manganese accumulation layer would be estimated by total manganese and easily reducible manganese content and their ratio.

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IDENTITIES ABOUT LEVEL 2 EISENSTEIN SERIES

  • Xu, Ce
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.63-81
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    • 2020
  • In this paper we consider certain classes of generalized level 2 Eisenstein series by simple differential calculations of trigonometric functions. In particular, we give four new transformation formulas for some level 2 Eisenstein series. We can find that these level 2 Eisenstein series are reducible to infinite series involving hyperbolic functions. Moreover, some interesting new examples are given.

The induced and intrinsic connections of cartan type in a Finslerian hypersurface

  • Park, Hong-Suh;Park, Ha-Yong
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.423-443
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    • 1996
  • The main purposer of the present paper is to derive the induced (Finsler) connections on the hypersurface from the Finsler connections of Cartan type (a Wagner, Miron, Cartan C- and Cartan Y- connection) of a Finsler space and to seek the necessary and sufficient conditions that the induced connections coincide with the intrinsic connections. And we show the differences of quantities with respect to the respective a connections and an induced Cartan connection. Finally we show some examples.

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CHARACTERIZATIONS OF IDEAL WEAKLY \delta\theta-REFINABLE SPACES

  • Cho, Myung-Hyun
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.33-45
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    • 1999
  • In this paper, we are interested in studying weak covering properties in the presence of a countable compact condition. The purpose of this paper is to characterize an ideal weakly $\delta$$\theta$-refinable space and to show that every ideal weakly $\delta$$\theta$-refinable space is isocompact. Also, we consider the behavior under mappings of ideal weakly $\delta$$\theta$-refinable properties and productivity of ideal weakly $\delta$$\theta$-refinable properties.

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A NOTE ON QUASI-PERIODIC PERTURBATIONS OF ELLIPTIC EQUILIBRIUM POINTS

  • Zhao, Houyu
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.6
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    • pp.1223-1240
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    • 2012
  • The system $$\dot{x}=(A+{\varepsilon}Q(t,{\varepsilon}))x+{\varepsilon}g(t,{\varepsilon})+h(x,t,{\varepsilon}),$$ where A is elliptic whose eigenvalues are not necessarily simple and $h$ is $\mathcal{O}(x^2)$. It is proved that, under suitable hypothesis of analyticity, for most values of the frequencies, the system is reducible.