• Korean Journal of Mathematics
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• 제6권2호
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• pp.291-298
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• 1998

The $L^p-L^q$ mapping properties of convolution operators with measures supported on curves in $\mathbb{R}^3$ have been studied by many authors. Oberlin provided examples of nondegenerate compact space curves whose arclength measures enjoy $L^p$-improving properties. This was later extended by Pan who showed that such properties hold for all nondegenerate compact space curves. In this paper, we will prove that the operator norm of the convolution operator with the arclength measure supported on a nondegenerate compact space curve depends only on certain quantities of the underlying curve.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2000년도 가을 학술발표회 논문집
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• pp.237-244
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• 2000

Piles are often subjected to both axial and lateral loads. The nonlinear subgrade reaction method is widely used for the design of laterally loaded piles and in this approach the soil reaction is replaced with a series of independent nonlinear Winkler springs. In this study, Laterally loaded high strength H-piles were analyzed using a finite difference solution, and three p-y curve models with different k values(the coefficient of horizontal subgrade reaction, ［FL$\^$-3/］) were evaluated using data obtained from various field tests, and another analysis method using Q$\sub$g/ - y$\sub$g/ curve was developed. The results of this analysis were compared with the measured values to assess their applicability.

• The Korean Journal of Ecology
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• 제26권4호
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• pp.155-163
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• 2003

In order to analyze the succession process from a pine forest to an oak forest, the tree growth of Pinus densiflora and Quercus mongolica ssp. crispula was monitored in a permanent quadrat for 23 years. The measurements were carried out for the stem diameter (DBH) of Pinus densiflora between 1977 and 1999 and for the height of Quercus mongolica ssp. crispula saplings between 1998 and 2000. The floristic composition and the locations of the individual P. densiflora and Q. mongolica ssp. crispula trees and saplings in the quadrat were recorded. P densiflora and Q. mongolica ssp. crispula individuals were randomly distributed within the quadrat. The relative growth rates (RGR) of DBH in P. densiflora were 0.085 $yr^{-1}$ for large trees and 0.056 $yr^{-1}$ for small trees in 1977. The RGR of height for Q. mongolica ssp. crispula was 0.122 $yr^{-1}$. The growth curve for DBH of P. densiflora was approximated by the logistic equation: $$DBH(t) = 30 {[1+1.16exp(-0.13 t)]}^{-1}$$ where DBH (t) the DBH (cm) in year t and t is the number of years since 1977. The growth in height of P. densiflora and Q. mongolica ssp. crispula was described by following equations: $$H (t) = 20.2 {[1+0.407exp(-0.137 t)]}^{-1} (P. densiflora)$$ $$H (t) = 30 {[1+20.7exp(-0.122 t)}^{-1} (Q. mongolica ssp. crispula)$$ Where H (t) is the tree height (m) in year t and t is the number of years since 1977 in P. densiflora and 1998 in Q. mongolica ssp. crispula. With these equations we predicted that the height of Q. mongolica ssp. crispula increases from 2 m in 1999 to 20 m in 2029. Therefore, Q. mongolica ssp. crispula and P. densiflora will be approximately the same height in 2029. The years required for succession from a pine forest to an oak forest are expected 33 with the range between 23 and 44 years.

• 농업과학연구
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• 제50권2호
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• pp.165-180
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• 2023

This study investigated 62 nested quadrat plots of Jinaksan to identify community classification and changes of the vegetation by using the phytosocial method and analyzed importance values. Vegetation types were classified into 8 communities: Quercus mongolica community, Q. variableis community, Q. aliena community, Pinus densiflora, Q. acutissima, Zelkova serrata, Carpinis laxiflora, and C. tschonoskii. The significance value was highest in Q. mongolica (62.75) followed by P. densiflora (55.16), Q. variabilis community (25.03), Z. serrata (22.17), Q. aliena (18.30), Prunus serrulata var. pubescens (16.86), C. laxiflora (13.25), Q. acutissima (10.72), C. tschonoskii (10.08), Q. serrata (8.02), Fraxinus sieboldiana (6.93), Acer pseudosieboldianum (6.73), and Styrax obassis (5.73). Quercus mongolica displayed a stable distribution pattern, presenting a reverse J-shaped curve from the diameter at breast height (DBH) analysis, and it was judged that current state would be maintained for a certain period. In addition, P. densiflora is expected to dominate for the time being and Quercus species are expected to gradually decrease.

• 대한수학회보
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• 제52권3호
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• pp.925-933
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• 2015

It is well-known that the area of parabolic region between a parabola and any chord $P_1P_2$ on the parabola is four thirds of the area of triangle ${\Delta}P_1P_2P$. Here we denote by P the point on the parabola where the tangent is parallel to the chord $P_1P_2$. In the previous works, the first and third authors of the present paper proved that this property is a characteristic one of parabolas. In this paper, with respect to triangles ${\Delta}P_1P_2PQ$ where Q is the intersection point of two tangents to X at $P_1$ and $P_2$ we establish some characterization theorems for parabolas.

• 한국토양비료학회지
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• 제37권4호
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• pp.220-227
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• 2004

인산은 식물 영양 물질과 환경 오염원으로 대비되는 불질이의로, 인산의 탈착 반응에 대한 연구는 농업과 환경에 관련된 토양 중에서 인산의 작용기작을 이해하기 위하여 필수적이다. 본 연구는 인산 탈착 유효량(Q)과 가용량(I)의 매개 변수($Q_{max}$ 및 $I_0$)와 관련된 인산 완충력을 측정하고, 그 매개 변수와 토양 특성간의 상관관계에 대한 특징을 조사하였다. 토양은 인산 무처리 표본과 $KH_2PO_4$ 용액을 사용하여 $100mg\;P\;kg^{-1}$의 농토를 처리한 표본을 이용하였다. 인산 탈착 Q/I 곡선은 음이온교환수지비즈법을 사용하여 얻었고, 실험 방정식 ($Q=aI^{-1}+bIn(I+1)+c$)을 이용하여 탈착 곡선을 설명하였다. 유효 인산 함량이 높은 토양 (${\g}20mg\;kg^{-1}$ of Olsen P)에서는 인산 처리 유무와 관계 없이 인산 탈착 Q/I 곡선은 특징적인 오목형 곡선 형태를 보였으나, 유효 인산 함량이 낮은 토양 (${\lt}20mg\;kg^{-1}$ of Olsen P)에서는 인산의 추가 처리 없이는 오목형 인산 탈착 Q/I 곡선을 얻을 수 없었다. 인산 추가 처리 시, 고형의 불안정 결합형 인산량$Q_{max}$)과 용액 내 인산량($I_0$)은 증가하였으나, $Q_{max}$ 와 $I_0$의 비율은 감소하였다. 그로 인하여, 인산의 완충력($|BP_0|$)을 나타내는 인산 탈차 Q/I 곡선의 경사가 감소하였다. 유효 인산 함량이 높은 토양 중 인산 무처러 표본의 인산 완충력($|BP_0|$)은 $48\;61L\;kg^{-1}$ 인산 추가 처리 표본의 인산 완충력은 $18\;44L\;kg^{-1}$ 사이에서 나타났으며, 실험에 사용된 모든 토양에 인산을 추가 처리한 후 나타난 인산 완충력은 $14\;79L\;kg^{-1}$ 사이에서 나타났으며, 또한 $Q_{max}$ 계수는 $71.4\;173.1mg\;P\;kg^{-1}$, $I_0$ 계수는 $0.98\;3.72mg\;P\;L^{-1}$ 사이에서 다양하게 나타났다. 인산 완충력을 지배하는 $Q_{max}$ 및 $I_0$, 계수는 토양 특성 중 하나의 특정 인자와 관련된 것으로는 볼 수 없었다. 그러나, 이들 계수는 토양 pH, 점토함량, 유기물함량 빛 석회함유 여부와 복잡하게 관련되어 있다. 또한, 토양으로부터 인산의 방출 활성은 처리된 인산의 천연 불안정 인산의 탈착성에 현저히 의존하였다.

• 한국지반환경공학회 논문집
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• 제11권12호
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• pp.37-45
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• 2010

초미립자시멘트는 입자 크기가 마이크로화되어 실트성 지반까지 주입가능하지만 점성이 높아 침투성이 저하되는 단점이 있다. 본 연구에서는 유동화제를 사용하여 점성을 낮춘 초미립자주입재의 그라우팅 효과를 평가하고자 암반에서 초미립자주입재와 보통시멘트주입재의 주입효과를 비교하였다. 시추조사, 현장수압시험, 공내재하시험, 공내전단시험, 단위주입량분석, p~q~t chart 유형 분석을 실시하였다. 시험 결과 초미립자주입재를 사용하는 경우가 보통시멘트 주입재를 사용하는 경우보다 투수성, 탄성계수 및 변형계수, 단위주입량 및 주입재 회수율 등 측면에서는 유리하지만 전단응력 측면에서는 차이가 거의 없는 것으로 나타났다.

• 대한수학회지
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• 제53권6호
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• pp.1431-1443
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• 2016

Let k be a global field of characteristic unequal to two. Let $C:y^2=f(x)$ be a nonsingular projective curve over k, where f(x) is a quartic polynomial over k with nonzero discriminant, and K = k(C) be the function field of C. For each prime spot p on k, let ${\hat{k}}_p$ denote the corresponding completion of k and ${\hat{k}}_p(C)$ the function field of $C{\times}_k{\hat{k}}_p$. Consider the map $$h:Br(K){\rightarrow}{\prod\limits_{\mathfrak{p}}}Br({\hat{k}}_p(C))$$, where p ranges over all the prime spots of k. In this paper, we explicitly describe all the constant classes (coming from Br(k)) lying in the kernel of the map h, which is an obstruction to the Hasse principle for the Brauer groups of the curve. The kernel of h can be expressed in terms of quaternion algebras with their prime spots. We also provide specific examples over ${\mathbb{Q}}$, the rationals, for this kernel.

• 대한수학회지
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• 제33권2호
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• pp.367-379
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• 1996

Let $V = {(z, y) : f(z, y) = z^n + Ay^\alpha z^p + y^\beta z^q + y^k = 0}$ and $W = {(z, y) : g(z, y) = z^n + By^\gamma z^s + y^\delta z^t + y^k = 0}$ be germs of analytic irreducible subvarieties of a polydisc near the origin in $C^2$ with n < k and (n, k) = 1 where A and B are complex numbers. Assume that V and W are topologically equivalent near the origin.

• Journal of information and communication convergence engineering
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• 제19권2호
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• pp.93-101
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• 2021

Cardiac arrhythmias are common heart diseases and generally cause sudden cardiac death. Electrocardiogram (ECG) is an effective tool that can reveal the electrical activity of the heart and diagnose cardiac arrhythmias. We propose detection of P waves based on QRST cancellation zero-one substitution. After preprocessing, the QRST segment is determined by detecting the Q wave start point and T wave end point separately. The Q wave start point is detected by digital analyses of the QRS complex width, and the T wave end point is detected by computation of an indicator related to the area covered by the T wave curve. Then, we determine whether the sampled value of the signal is in the interval of the QRST segment and substitute zero or one for the value to cancel the QRST segment. Finally, the maximum amplitude is selected as the peak of the P wave in each RR interval of the residual signal. The average detection rate for the QT database was 97.67%.