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Height inequality for rational maps and bounds for preperiodic points
이종규 대한수학회 2018 대한수학회보 Vol.55 No.5
In this paper, we introduce the $D$-ratio of a rational map $f:\mathbb{P}^n \dashrightarrow \mathbb{P}^n$, defined over $\overline{\mathbb{Q}}$, whose indeterminacy locus is contained in a hyperplane $H$ on $\mathbb{P}^n$. The $D$-ratio $r(f;\overline{V})$ characterizes endomorphisms and provides a useful height inequality on $\mathbb{P}^n(\overline{\mathbb{Q}}) \setminus H$. We also provide a dynamical application: preperiodic points of dynamical systems of small $D$-ratio are of bounded height.
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MgCO<sub>3</sub>와 사문석을 사용한 마그네시아 시멘트의 무기 첨가제 영향
이종규,소정섭,Lee, Jong-Kyu,Soh, Jung-Sub 한국재료학회 2015 한국재료학회지 Vol.25 No.2
The carbon dioxide($CO_2$) released while producing building materials is substantial and has been targeted as a leading contributor to global climate change. One of the most typical method to reducing $CO_2$ for building materials is the addition of slag and fly ash, like pozzolan material, while another method is reducing $CO_2$ production by carbon negative cement development. The MgO-based cement was from the low-temperature calcination of magnesite required less energy and emitted less $CO_2$ than the manufacturing of Portland cements. It is also believed that adding reactive MgO to Portland-pozzolan cements could improve their performance and also increase their capacity to absorb atmospheric $CO_2$. In this study, the basic research for magnesia cement using $MgCO_3$ and magnesium silicate ore (serpentine) as main starting materials, as well as silica fume, fly ash and blast furnace slag for the mineral admixture, were carried out for industrial waste material recycling. In order to increase the hydration activity, $MgCl_2$ was also added. To improve hydration activity, $MgCO_3$ and serpentinite were fired at $700^{\circ}C$ and autoclave treatment was conducted. In the case of $MgCO_3$ as starting material, hydration activity was the highest at firing temperature of $700^{\circ}C$. This $MgCO_3$ was completely transferred to MgO after firing. This occurred after the hydration reaction with water MgO was transferred completely to $Mg(OH)_2$ as a hydration product. In the case of using only $MgCO_3$, the compressive strength was 3.5MPa at 28 days. The addition of silica fume enhanced compressive strength to 5.5 MPa. In the composition of $MgCO_3$-serpentine, the addition of pozzolanic materials such as silica fume increased the compression strength. In particular, the addition of $MgCl_2$ compressive strength was increased to 80 MPa.
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이종규 단국대학교 1996 論文集 Vol.30 No.-
The ground settlement with excavations behind the retention wall, recently, have been call for a great attention in the large urban areas because of leading to severe damage to neighbouring structures. Horizantal displacement of the retention wall and ground loss due to a dewatering in excavations are two major factors causing the ground settlement. In order to protect damages for adjacent structures, therefore, the ground settlements due to a dewatering and loss of the ground behind the walls should be accurately predicted but it is very difficult and complicated. Most of analysis method, however, have been proposed to estimate the settlement behaviour based on beam on elasto-plastic foundation theory and few definitive data exist that can evaluate the behaviour based on finite difference method. The investigations described in this paper, based on finite difference method is designed to compare the ground settlements behind the retention wall between two analysis method. Analysis results and data for 2 excavated area in Seoul metropolitan, Show that the results of the finite difference method are more resonable than those of beam on elasto-plastic foundation theory, especially in the case of the dewatering site and nearby retention walls. On the other hand, the Lohman's proposal for a dewatering does not coincide with the results of analysis.
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유리모세관 파괴시 방출된 탄성파에 대한 PZT변환기의 응답특성
이종규 韓國非破壞檢査學會 1998 한국비파괴검사학회지 Vol.18 No.1
유리모세관의 파괴시에 방출되는 탄성파를 이용하여 유리평판의 진앙점에 위치한 PZT변환기의 응답특성을 연구하였다. PZT변환기는 일정한 면적을 가지고 두께가 다른 PZT세라믹(Edo사의 EC-65)을 사용하여 제작하였다. 공기 경계층을 갖는 유리평판에서 힘의 크기가 1N이고 상승시간이 280ns인 경사 점하중이 인가된 경우에 대하여 진앙점에서 수직 성분의 변위와 속도를 이론적으로 계산하였다. PZT변환기의 과도응답은 이론적으로 계산된 수직 성분의 속도가 입사하여 PZT세라믹의 전극과 만날 때 펄스형태로 나타난다고 생각할 수 있다. PZT변환기의 응답은 PZT세라믹의 직경 대 두께의 비가 약 0.33 이하인 경우에는 두께진동모드에만 의존하고, 그 이상의 경우에는 두께진동모드와 다른 저주파수의 진동 모드의 중첩에 의해서 일어난다고 생각된다. 첫 펄스의 반폭치시간은 인가된 파괴하중과 PZT변환기의 공진주파수에 무관하게 약 280ns로서 일정하였고, 음향방출 발생원의 상승시간으로 생각할 수 있었다. 첫 펄스의 최대진폭은 PZT변환기에 임사하는 수직 성분의 속도와 PZT세라믹의 축전용량에 비례하였다. 그러므로, 동일한 PZT변환기에 대하여 음향방출 발생원의 상승시간과 크기는 첫 펄스의 반폭치시간과 최대 진폭으로 평가할 수 있다. The response characteristics of the PZT transducers during glass capillary breakage were studied at the epicenter of the glass plate. The PZT transducers had been made by using EC-65 PZT ceramics(supplied by Edo co.) with a constant area and a various thickness. The theoretical displacememt and velocity at the epicenter of glass plate with an air boundary condition were calculated by assuming the point load of 1N force strength and a rise time of 280 ns with a ramped functional dependence, and the 1st pulses of the PZT transducer may be considered as the vertical velocity incident on the electrode of the PZT ceramic. The responses of the PZT transducer may be depended on the thickness mode of the PZT ceramic below 0.33 in the ratio of the thickness to the diameter of PZT ceramic, but the reponse of the PZT transducer may be depended on the other modes of PZT transducer in the addition of the thickness mode of the PZT transducer in the addition of the thickness mode of the PZT ceramic above 0.33. The full time of half maximum at the 1st pulse was nearly 280 ns without a variation of applied breakage load and the resonant frequency of the PZT transducer, and then may be considered as the rise time of a AE source. The maximum amplitude of the 1st pulse depended on the incident vertical velocity and capacitance of the PZT transducer. Therefore, the full time of half maximum and maximum amplitude of the 1st pulse may be considered as the rise time and strength of acoustic emission source respectively.
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