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INVERSE SHADOWING PROPERTY OF MORSE-SMALE SYSTEMS

  • Choi, Taeyoung;Lee, Keonhee
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.1
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    • pp.61-73
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    • 2002
  • We consider the inverse shadowing property of a dynamical system which is an "inverse" form of the shadowing property of the system. In particular, we show that every Morse-Smale system f on a compact smooth manifold has the inverse shadowing property with respect to the class $\mathcal{T}_h(f)$ of continuous methods generated by homeomorphisms, but the system f does not have the inverse\mathrm{T} shadowing property with respect to the class $\mathcal{T}_c(f)$ of continuous methods.

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A Study on the Estimation of Economic Depreciation Rate on Industrial Property Using Broad Group Procedure (BG 방법을 활용한 제조설비의 경제적 감가상각률 추정방안)

  • Oh, H.S.;Kwon, S.H.;Cho, J.H.
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.1
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    • pp.148-153
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    • 2012
  • When the number of items of same type of industrial property is quite large, calculating depreciation for a group of such items may be more efficient than depreciating each item separately. Several different depreciation systems may be used for group depreciation. If the life of each vintage in an account are not estimated, then the BG procedure can be used; the BG procedure puts all vintages of the same type of property into a single broad group for depreciation purposes. In this case, only an estimate of the PASL and the net salvage ratio for all the property in the broad group is needed to calculate the depreciation charge.

Partial State Feedback $H_{\infty}$ Control of Two-Mass System (2관성계의 부분적인 상태궤환을 갖는 $H_{\infty}$제어)

  • Han, Yoon-Seok;Kim, Young-Seok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.10
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    • pp.562-570
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    • 1999
  • In the industrial motor drive system which is composed of a motor and load connected with a flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission. This vibration, which is generated in a two-mass mechanical system. To solve this problem, recently there has been a lot of researches for the robust control relevant to the $H_{\infty}$ control suppressing the torsional vibration and rejecting the torque disturbance. In the case of the $H_{\infty}$controller, however, the command tracking property becomes worse because of overshoot during transient response. For this reason the $H_{\infty}$ controller, which includes the two-degrees-of-freedom(TDOF) controller, is designed in order to improve command tracking property. However, it also includes complexity realizing this controller. In this paper, a new $H_{\infty}$ controller with partial state feedback is proposed. Proposed $H_{\infty}$controller has simple structure but satisfies with the fast command tracking property and the attenuation of disturbances and vibrations simultaneously, just like the complicated TDOF $H_{\infty}$ controller.

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Studies on the Destructible Surfactants(2);Surface-Active Properties of Cleavable Surfactant with 1, 3-Dioxolane Ring (분해성 계면활성제에 관한 연구(제2보);1, 3-Dioxlane고리를 갖는 분해성계면활성제의 합성)

  • Kim, J.H.;Ha, J.H.;Jeong, N.H.;Nam, K.D.
    • Journal of the Korean Applied Science and Technology
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    • v.12 no.1
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    • pp.101-107
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    • 1995
  • As the surfactants that were used in micellar reaction, emulsion polymerization and phase-transfer reaction etc. have the problems, the cleavable surfactant was converted to inactive compound after such as the reaction in the condition. Because 1, 3-dioxolane ring by ketal or acetal reactioc is lack of stability in acid condition, it is easily made to acid-hydrolysis. And cmc value of the surfactant is assumed $1.0{\times}10^{-5}mol/L$ and surface tension in cmc is 31 dyne/cm. Compared with other surfactant, this surfactant foam property is not better. But emulsion property was relatively good. According as acid-hydrolysis property was observed the interface tension change between aqueous solution and benzene by the variation of pH and time, this surfactant was made to hydrolysis within about 300minutes in pH 1${\sims}$4. Therefore this surfactant is expected to be a good emulsifier that has the bad foam property and the acid-hydrolysis property in acid condition.

RIESZ PROJECTIONS FOR A NON-HYPONORMAL OPERATOR

  • Lee, Jae Won;Jeon, In Ho
    • Korean Journal of Mathematics
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    • v.24 no.1
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    • pp.65-70
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    • 2016
  • J. G. Stampfli proved that if a bounded linear operator T on a Hilbert space ${\mathfrak{H}}$ satisfies ($G_1$) property, then the Riesz projection $P_{\lambda}$ associated with ${\lambda}{\in}iso{\sigma}$(T) is self-adjoint and $P_{\lambda}{\mathfrak{H}}=(T-{\lambda})^{-1}(0)=(T^*-{\bar{\lambda}})^{-1}(0)$. In this note we show that Stampfli''s result is generalized to an nilpotent extension of an operator having ($G_1$) property.

SAMPLE PATH PROPERTY OF CHENTSOV FIELDS

  • Kim, Joo-Mok
    • Journal of the Chungcheong Mathematical Society
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    • v.11 no.1
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    • pp.35-44
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    • 1998
  • Let {X(t), $t{\in}\mathbb{R}^n$} be a $S{\alpha}S$ H-sssis Chentsov random field with control measure m. We consider a geometric construction for L$\acute{e}$vy-Chentsov random fields and Takenaka random fields. Finally, we proved some property of conjugate classes and a.s. H$\ddot{o}$lder unboundedness of $S{\alpha}S$ H-sssis Chentsov random fields for all order ${\gamma}$ > H.

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The Effect on Latent Hydraulic Property of the Blast-furnace Slag by Alkali Activator (알칼리 자극제가 고로슬래그의 잠재수경성에 미치는 영향)

  • Lee, Seung-Han;Park, Jeong-Seob;Jung, Yong-Wook
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.929-934
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    • 2001
  • This study aimed to examine the cause of latent hydraulic property manifestation of ground granulated blast-furnace slag(GGBFS) using different alkali activators in pH, type and quantity. According to the experimental result, the higher pH value accelerated lastly latent hydraulic property and the early stage strength of GCBFS was ranked as activators with the higher pH, in an order of NaOH, $Ca(OH)_{2}$ and $Na_{2}$$Co_{3}$. Also, NaOH had accelerated latent hydraulic property of GGBFS, which had 40~50% of the 3 and 7 days compressive strength of base mortar in case of using 10% of powder-weight. In the case of 30% of GGBFS substitution with annexing 2.5% $Ca(OH)_{2}$, the compressive strength on the 3 and 7 days of the early-age, was increased to 5~10% than that of the same admixture with no activator. With annexing 5.0% $Ca(OH)_{2}$, the strength was increased to 10~20%. Although activator NaOH was effective on the manifestation of latent hydraulic property, it caused cement mortar compressive strength decrease by enlarging pore diameter.

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Properties of electrodeposited copper foil by organic compounds (유기물 첨가에 의한 전해동박의 특성)

  • Lee, K.W.;No, S.S.;Choi, C.H.;Kim, S.K.;Son, S.H.;Moon, H.K.;Park, D.H.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.05c
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    • pp.88-91
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    • 2001
  • The mechanical properties and surface luminous intensities of copper foil have been studied with variation of the amount of additives into the electrolyte. Especially, organic compound of HEC was added from 0.1 to 10ppm for the propose of increasing the mechanical property and the surface state. The total thickness of electrodeposited copper foil was decreased with increasing the amount of organic compounds. There was not so much significant effect of the current density. It has been observed that mechanical property and surface luminous intensity increase with increasing concentration of organic compounds.

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Effect of Water Pollution on the Irrigation Water - On the Kyungan Stream - (수질오염이 산업용수에 미치는 영향 -경안천을 중심으로-)

  • 라규환;권영식;노수홍
    • Environmental Analysis Health and Toxicology
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    • v.6 no.1_2
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    • pp.1-6
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    • 1991
  • The quality of water in Kyungan stream was analyzed in three different areas between season of irrigation on May and of nonirrigation on august in 1990. The results of Water quality from this study were summarized as follows: 1. The quality of water is season of irrigation containing metal ions, such as Cu and Zn as well as TN was exceeded standard levels of quality of agricultural water However, in season of nonirrigation, the quality of water in Kyungan stream was not suitable for using agricultural water due to over standard levels of containing ions of Cu and Zn or DO, COD and TN. 2. The correlation of water quality exception of pH was shown a reliance when p values were greater than 0.01 for containing ions such as Cu and Zn with the DO, COD and TN. 3. The comparison of water qualities for pH between season of irrigation and season of nonirrigation in Kyungan stream was a considerable significance property when p values were less than 0.05. The water quality containing ions of Cu and Zn with DO, COD, TN and SS also indicated a significant property when p values were less than 0.01. 4. The average water qualities of a year in three different areas for pH have shown a significant property when p values are less than 0.01. The average water qualities of a year containing DO have also shown a significant property having p values of less than 0.05. But other constituents have shown no significant property in the above three different areas.

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SYMMETRIC PROPERTIES OF CARLITZ'S TYPE (p, q)-GENOCCHI POLYNOMIALS

  • KIM, A HYUN
    • Journal of applied mathematics & informatics
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    • v.37 no.3_4
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    • pp.317-328
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    • 2019
  • This paper defines Carlitz's type (p, q)-Genocchi polynomials and Carlitz's type (h, p, q)-Genocchi polynomials, and explains fourteen properties which can be complemented by Carlitz's type (p, q)-Genocchi polynomials and Carlitz's type (h, p, q)-Genocchi polynomials, including distribution relation, symmetric property, and property of complement. Also, it explores alternating powers sums by proving symmetric property related to Carlitz's type (p, q)-Genocchi polynomials.