• 대한수학교육학회지:학교수학
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• 제8권1호
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• pp.27-43
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• 2006

이 연구의 목적은 예비중등교사들의 실제적인 수학화 능력을 신장할 수 있도록 n-단체의 n-부피를 탐구하는 교수단원 를 설계하는 것이다. 이 교수단원에서는 2차원 도형인 삼각형의 넓이와 3차원 도형인 사면체의 부피를 n-단체의 n-부피로 일반화하는 것에 초점을 맞추고 있다. 이 일반화 과정에는 형식불역의 원리와 카발리에리의 원리가 적용된다. n-단체의 n-부피를 구하기 위해 n-직교삼각기둥을 정의하고, 그것의 n-부피를 공리적으로 탐색한다. 그리고 n-단체의 n-부피를 벡터와 행렬식을 이용하여 구한다. 이 교수단원을 통해 예비 중등교사들은 삼각형과 사면체의 일반화된 도형인 n-단체, 그리고 삼각형의 넓이와 사면체의 부피의 일반화된 n-단체의 부피를 이해하고 탐구할 수 있고, 학교수학과 학문수학의 자연스런 연결을 도모할 수 있다.

• 대한수학회보
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• 제33권4호
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• pp.613-618
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• 1996

In this paper, M will always denote an n- dimensional complete Riemannian manifold and $\omega_n$ is the volume of $S^n$.

• 대한치과의사협회지
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• 제11권4호
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• pp.263-266
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• 1973

The measuring tests on the rest position capacity and the tongue volume were conducted on the one hundred normal dental college students and staffs of Seoul National University in order to study the relationships between the est position Capacity and tongue volume. The results were as follows : 1) The correlation between the rest position capacity and tongue volume was hardly recognized. 2) The correlation between tongue volume and the weight was recognized. 3) Physiologic reflex was coused by the water injected in the mouth in the rest position. 4) Each correlation of the height and cheek thickness to the tongue volume was not recognized.

• The Korean Journal of Ecology
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• 제27권1호
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• pp.27-33
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• 2004

Cryptomeria japonica plantation was monitored every year during 15 years from 1983 to 1997 for stem diameter and volume. The reciprocal equation, 1/Y = A + B/N, was applied to the relationship between cumulative volume Y and cumulative number N from the largest tree in the stand each year. The parameters A and B, which means respectively the reciprocal of an asymptotic value of total stand stem volume and the reciprocal of the maximum stem volume, are related by a power function. The power functional relationship between A and B derived a linear relationship of B-points ( $N_{B}$, $V_{B}$; $N_{B}$ = B/A, $Y_{B}$ = 1/2A) of each Y-N curve on log-log coordinates. The gradient of B-point line was so steep that the Y-N curve moved parallel upward year by year. The time trajectory of mean stem volume (W) and density ($\rho$) provided evidence in favor of the 3/2 power law of self-thinning, because the gradient of W - $\rho$ trajectory on log-log coordinates approximated to -3/2 at the final stage of stand development. On the basis of the results of Y-N curves and W - $\rho$ trajectory, the time trajectory of maximum stem volume $W_{max obs}$ and $\rho$ was derived theoretically. The gradient of $W_{max obs}$ - $\rho$ trajectory on log-log coordinates is calculated to be -0.6105 at the final stage. The gradient of $W_{max obs}$ - $\rho$ trajectory was steeper than that of W - $\rho$ trajectory at the early stage, while the former is gentler than the latter at the later stage.stage.e.age.e.

• 한국CDE학회논문집
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• 제2권1호
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• pp.28-34
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• 1997

A swept volume is a useful tool for solving various types of interference problems. Previous works have concentrated on sweeping an object along an arbitrary path, that results in complex algorithms. This paper concerns the volume swept by translating an object along a linear path. After analyzing the structure of the swept volume, we present an incremental algorithm for constructing a swept volume. Our algorithm takes O(n/sup 2/ *.alpha.(n)+T/sub c/) time where n is the number of vertices in the original object and T/sub c/ is time for handling face cycles.

• Imaging Science in Dentistry
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• 제53권2호
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• pp.91-99
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• 2023

Purpose: This systematic review aimed to investigate the correlation between chronological age and dental pulp volume in cone-beam computed tomography (CBCT). Materials and Methods: The literature was searched in 4 databases(PubMed, Scopus, Web of Science, and Google Scholar). Within each study, the outcome of interest was the correlation (r) between chronological age and pulp volume. A random-effect meta-analysis was conducted. Subgroup analysis was carried out according to sex and tooth type. Results: Of 5,693 identified studies, 27 fulfilled the inclusion criteria and were selected for meta-analysis. These articles focused on single-rooted teeth (n=21), multi-rooted teeth (n=6), maxillary teeth (n=14), mandibular teeth (n=6), and maxillary and mandibular teeth (n=12). The relationship between chronological age and dental pulp volume was examined in the entire population (r= -0.67), men (r= -0.75), and women (r= -0.77) in single- and multi-rooted teeth. The results of the total population analysis showed a relatively strong negative relationship between age and pulp volume. Conclusion: This study suggested that CBCT is a reliable and repeatable tool for dental age estimation. A strong inverse relationship was observed between pulp chamber volume and age. Further studies on the correlation between chronological age and pulp volume of multi-rooted teeth may be beneficial.

• 폴리머
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• 제26권5호
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• pp.653-660
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• 2002

가교제 poly(ethylene glycol) diacrylate (PEGDA)를 사용하여 제조한 poly(N-iso-propylacrylamide) (PNIPAAm) 및 poly (N-isopropylacrylamide-co-sodium methacrylate) (P(NIPAAm-co-SMA)) hydrogels의 부피 상전이 현상을 함수율과 표면적의 변화로 고찰하였다. Hydyogel의 부피 상전이 온도는 가교제의 농도에는 영향을 받지 않았으나 공단량체인 SMA의 소량 첨가로 4$0^{\circ}C$ 이상 상승하였다. 특히 PEGDA를 가교제로 사용하였을 경우 가교 길이가 길어짐에 따라 부피 상전이 온도가 더 높게 상승하였다. PNIPAAm 및 P(NIPAAm-co-SMA) hydrogels의 표면적 역시 부피 상전이 온도를 전후하여 감소하였는데 이는 부피 상전이 과정에서 기공의 크기가 현저하게 감소하였기 때문이다. 따라서 표면적과 기공 크기의 변화가 부피 상전이를 나타내는 주요한 인자임을 알 수 있다.

• 한국해양공학회지
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• 제23권3호
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• pp.40-45
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• 2009

With the increase in the annealing temperature, the volume fraction of austenite phase increased and the volume fraction of ferrite phase decreased. In compliance with the addition of N, not only the volume fraction of austenite phase was increased but also the austenite structure was made larger. Volume fraction of ${\sigma}$ phase was increased by decreasing of the volume fraction of ferrite phase, with the increase in the aging time and in compliance with the addition of N. As increasing in volume fraction of ${\sigma}$ phase, tensile strength and hardness increased, while elongation and impact value decreased. Elongation slowly decreased and impact value rapidly decreased at the early stage of aging. By the added N, tensile strength, elongation, hardness and impact value was increased.

• 대한화학회지
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• 제13권2호
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• pp.121-129
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• 1969

n-Alkylamine hydrochlorides $C_nH_{2n+1}NH_3CI$에서 n=0에서 n=4 까지 이르는 低分子量 同族體의 apparent molal volume {\phi}\nu$ 및 partial molal volume $V^{\circ}$을 30$^{\circ}C$水溶液에서 測定하엿다 아민산의 濃度는 0.01M에서 0.3M까지 , 密度測定은 浮力法(Float method)를 適用하여 少數點 以下 5位까지 取하였다. 實驗結果 同族體의 分子量이 一定量 $CH_2$식 增加함에 따라 $V^{\circ}$값이 規則的인 差로서 增加한다는 事實이 觀測되었다. 또한 濃度增加함에 따른 {\phi}\nu$ 變化는 共通的으로 直選的이고 limiting slope는 positive이며 比較的 理論値에 가까왔다. 共通anion인 鹽素이온 $CI^-$의 partial molal volume, $V^{\circ}$$CI^-$은 18.6ml $mole^{-1}$으로 他硏究者들의 date와 大體的으로 一致하였다. {\phi}{\nu}$ 값의 變化로 보아 이온의 hydrophobic effect와 change effect는 거의 競合狀態이나 charge effect 곧 electrostriction effect가 優勢를 보였다.

• 호남수학학술지
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• 제34권3호
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• pp.403-408
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• 2012

In this paper, we prove that if K is a convex body in $E^n$ and $E_i$ and $E_o$ are inscribed ellipsoid and circumscribed ellipsoid of K respectively with ${\alpha}E_i=E_o$, then $\[({\alpha})^{\frac{n}{p}+1}\]^n{\omega}^2_n{\geq}V(K)V({\Gamma}^{\ast}_pK){\geq}\[(\frac{1}{\alpha})^{\frac{n}{p}+1}\]^n{\omega}^2_n$. Lutwak and Zhang[6] proved that if K is a convex body, ${\omega}^2_n=V(K)V({\Gamma}_pK)$ if and only if K is an ellipsoid. Our inequality provides very elementary proof for their result and this in turn gives a lower bound of the volume product for the sets of constant width.