• 대한수학회보
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• 제52권3호
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• pp.1007-1025
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• 2015

Let $\mathbb{N}_0$ be the set of non-negative integers, and let P(n, l) denote the set of all weak compositions of n with l parts, i.e., $P(n,l)=\{(x_1,x_2,{\cdots},x_l){\in}\mathbb{N}^l_0\;:\;x_1+x_2+{\cdots}+x_l=n\}$. For any element $u=(u_1,u_2,{\cdots},u_l){\in}P(n,l)$, denote its ith-coordinate by u(i), i.e., $u(i)=u_i$. A family $A{\subseteq}P(n,l)$ is said to be t-intersecting if ${\mid}\{i:u(i)=v(i)\}{\mid}{\geq}t$ for all $u,v{\epsilon}A$. A family $A{\subseteq}P(n,l)$ is said to be trivially t-intersecting if there is a t-set T of $[l]=\{1,2,{\cdots},l\}$ and elements $y_s{\in}\mathbb{N}_0(s{\in}T)$ such that $A=\{u{\in}P(n,l):u(j)=yj\;for\;all\;j{\in}T\}$. We prove that given any positive integers l, t with $l{\geq}2t+3$, there exists a constant $n_0(l,t)$ depending only on l and t, such that for all $n{\geq}n_0(l,t)$, if $A{\subseteq}P(n,l)$ is non-trivially t-intersecting, then $${\mid}A{\mid}{\leq}(^{n+l-t-l}_{l-t-1})-(^{n-1}_{l-t-1})+t$$. Moreover, equality holds if and only if there is a t-set T of [l] such that $$A=\bigcup_{s{\in}[l]{\backslash}T}\;A_s{\cup}\{q_i:i{\in}T\}$$, where $$A_s=\{u{\in}P(n,l):u(j)=0\;for\;all\;j{\in}T\;and\;u(s)=0\}$$ and $$q_i{\in}P(n,l)\;with\;q_i(j)=0\;fo\;all\;j{\in}[l]{\backslash}\{i\}\;and\;q_i(i)=n$$.

• 대한수학회보
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• 제35권3호
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• pp.485-490
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• 1998

We consider a class of discrete parameter processes on a locally compact Polish space $S$ arising from successive compositions of strictly stationary Markov random maps on $S$ into itself. Sufficient conditions for the existence of the stationary solution and the weak convergence of the distributions of $\{\Gamma_n \Gamma_{n-1} \cdots \Gamma_0x \}$ are given.

• 한국환경보건학회지
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• 제3권1호
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• pp.53-56
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• 1976

The air oxidations of asphalt at temperatures ranging from 190$\circ$C to 270$\circ$C were studied for changes in physical properties, proportions and chemical characteristics of asphalt compositions, weak acid and very weak acid contents. The following results were obtained: 1) Oils and resins of asphalt components are oxidized to asphaltenes by blowing(Air oxidation) 2) At 270$\circ$C, asphaltenes begin to undergo a change into benzene insoluble after approximately 12 hours of air oxidation. 3) Weak acid increases at the oxidation temperature below 200$\circ$C. While very weak acid, presumably phenols, generally increases without regard to the blowing(Air oxidation) temperature.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2004년도 춘계학술대회
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• pp.2041-2046
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• 2004

Recently series of steam explosion experiments have been performed in the TROI facility to identify the influence of corium compositions on the occurrence of a spontaneous steam explosion varying corium melt composition. The compositions of the corium were 0 : 100, 50 : 50, 70 : 30, 80 : 20 and 87 : 13 at weight percent of $UO_2$ to $ZrO_2$, and the mass of the corium was about 10kg. Corium melt at 0 : 100 weight percent (pure zirconia) caused a strong spontaneous steam explosion, and melt at 70 : 30 weight percent(eutectic corium) led to a weak steam spike, while melts at other compositions did not result in spontaneous steam explosions, when they came into contact with 67cm deep water pool at room temperature. It seems that the explosivity of pure zirconia is stronger than that of corium at other compositions and a steam explosion is not likely to occur with corium melts at non-eutectic compositions which are included in mushy zone region.

• 한국세라믹학회지
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• 제53권2호
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• pp.178-183
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• 2016

Ferroelectric relaxor ceramics with $BaTiO_3-NaNbO_3-Bi(Mg_{1/2}Ti_{1/2})O_3$ ternary compositions (BT-NN-BMT) have been prepared by sol-gel powder synthesis and consequent bulk ceramic processing. Through the modified chemical approach, fine and single-phase complex perovskite compositions were successfully obtained. Temperature and frequency dependent dielectric properties indicated typical relaxor characteristics of the BT-NN-BMT compositions. The ferroelectric-paraelectric phase transition became diffusive when NN and BMT were added to form BT based solid solutions. BMT additions to the BT-NN solid solutions affected the high temperature dielectric properties, which might be attributable to the compositional inhomogeneity of the complex perovskite and resulting weak dielectric coupling of the Bi-containing polar nanoregions (PNRs). The temperature stability of the dielectric properties was good enough to satisfy the X9R specification. The quasi-linear P-E response and the temperature- stable dielectric properties imply the high potential of this ceramic compound for use in high temperature capacitors.

• 한국생활과학회지
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• 제15권3호
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• pp.513-525
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• 2006

The purpose of this study is to analyze physical characteristics, spatial composition, and using behavior of lounges in elderly skilled nursing facilities as spaces for activity programs and also to evaluate the spaces with the framework based on the indices for performing activity programs in elderly facilities. The results of the study were as follows: First, the lounge of an independent type ensured the privacy to perform programs, and so activities were managed more systematically. On the other hand, an expanded corridor type made the elderly feel difficult to pay attention to activities due to co-use of lounges and corridors. In a lounge of a hall type, the elderly had easy access to the place, but it also had weak home-like atmosphere because the space was used as a lobby entrance. Second, the facilities with western types of tables in whole lounges showed big changes in spatial composition, such as moving all the tables for any activities. It resulted in more preparation time and created obstacles in passages and space use. Third, in the evaluation of lounges based on the framework, most of lounges had accessibility of good quality, but they needed to improve home-like atmosphere and flexibility. To create home-like atmosphere, various spatial compositions and classifications in the lounge should be tried. Moreover, enough space and easy movable furniture can be considered for flexible spatial compositions.

• 펄프종이기술
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• 제41권4호
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• pp.82-90
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• 2009

It is very important to utilize effectively fibrous waste paper in terms of cost savings, environmental effects, and governmental policies. The quality of final products and runnability of papermaking process are primarily affected by constitutions of fibrous raw materials. In specific, board grade paper depends directly on compositions of waste paper bales. At present, the raw materials of board grade paper are mainly derived from lots kinds of wastepaper. Some papermaking countries, like EU, USA and Japan have advanced classification and management systems of recycled fiber, but Korea has not yet organized systematically. In this study, evaluation of wastepaper bale compositions and their fiber properties were carried out for effective utilization of fibrous raw materials for board grade paper production. 3 kinds of wastepaper bales were classified to fibrous or non-fibrous materials. In case of fibrous materials, KOCC, kraft sack paper and white duplex board matters were main component in total weight basis, and in case of non-fibrous materials, vinyl, plastic and cloth matters were main component, in turns. 3 representative kinds of waste paper were disintegrated and classified, and then prepared to handsheet for evaluation of recycled fiber property. Consequently, fines and ash content of waste paper, isolated from KOCC and white duplex board were higher than that of kraft sack paper. pH values of all kinds of waste fibers were neutral or weak alkaline.

• 한국대기환경학회지
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• 제27권4호
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• pp.395-404
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• 2011

Asian dust evens took place in Seoul on 27~28 March and 31 March~1 April 2007, during which the mass and chemical compositions of $PM_{10}$ were measured at urban area in Seoul, Korea. In conjunction with $PM_{10}$ compositions, the behaviors of gas precursors such as CO, $O_3$, $SO_2$, and $NO_2$ and meteorological parameters and air mass trajectories were thoroughly examined. The earlier case was a weak dust incidence which was characterized by elevated concentrations of CO, $SO_2$ and $NO_2$ as well as secondary aerosols. In contrast, the later showed the trait of the dust aerosols associated with high $PM_{10}$ mass and $Ca^{2+}$ concentrations. In general, the fractions of ionic species against mass decreased with increase in dust loading. The ratios of ${SO_4}^{2-}$ to ${NO_3}^-$ and $SO_2$ to $NO_2$ were similar in temporal variations, suggesting the concentrations of secondary aerosols were sensitive to the level of precursor gases. In this study, $Na^+$ and $Cl^-$ were also highly elevated during the heavy dust episode, which is thought to have originated from alkaline soils spreading through the northeast regions of China.

• 펄프종이기술
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• 제31권1호
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• pp.89-94
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• 1999

The inorganic compositions of traditional lye, and lyes prepared from the stalks of five different agricultural products: beans, wheat, barley, buckwheat and red peppers, were analyzed. Traditional lye was composed mainly of a weak alkaline salt, potassium carbonate as the major component and neutral salts, potassium chloride and potassium sulfate as minor components. The ash and lye contents of buckwheat have significantly higher then those of the rest agricultgural products. Bean and red pepper stalks lyes were composed mainly of potassium carbonate, similar to the composition of traditional lye, but also contained potassium chloride or sulfate. In contrast, postassium chloride was the major component of wheat and barley stalk lye.

• 대한한의학방제학회지
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• 제11권1호
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• pp.171-195
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• 2003

Objectives: This experimental study has been done to compare the Os Draconis composition before and after using processing method. Os Draconis has a quality for calming the liver meridian function and relaxation the mind. Methods: I studied the Os Draconis and processed Os Draconis by vinegar to compare the compositions and its' character. Results: Os Draconis is not a dinosaur's bone fossil but a mammal's bone fossil which has a Calcite mineral, an Apatite mineral, $SiO_2\;Al_2$ O, etc. Os Draconis contains a main ingredients CaO>50.00%. Processed Os Draconis which is heated and soaked in vinegar changes to weak condition Conclusion: Os Draconis is supposed to be a mammal's bone fossil. Some Os Draconis has a radioactive substance like a U, Th so we pay heed to deal with it in a medical clinic.