• 한국수학교육학회지시리즈B:순수및응용수학
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• 제29권2호
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• pp.125-139
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• 2022

In this paper we wish to establish some results relating to the growths of composition of two entire functions with their corresponding left and right factors on the basis of their generalized relative order (α, β) and generalized relative lower order (α, β) where α and β are continuous non-negative functions defined on (-∞, +∞).

• Journal of applied mathematics & informatics
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• 제41권1호
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• pp.123-132
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• 2023

We define an operator version of the relative Rényi entropy as the generalization of relative von Neumann entropy, and provide its fundamental properties and the bounds for its trace value. Moreover, we see an effect of the relative Rényi entropy under tensor product, and show the sub-additivity for density matrices.

• 대한수학회지
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• 제60권3호
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• pp.683-694
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• 2023

Let a be an ideal of 𝔞 commutative noetherian ring R. We give some descriptions of the 𝔞-depth of 𝔞-relative Cohen-Macaulay modules by cohomological dimensions, and study how relative Cohen-Macaulayness behaves under flat extensions. As applications, the perseverance of relative Cohen-Macaulayness in a polynomial ring, formal power series ring and completion are given.

• Korean Journal of Mathematics
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• 제9권2호
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• pp.123-128
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• 2001

Given a homomorphism ${\Pi}:X{\rightarrow}Y$, with Y minimal, we will introduce the concept of a relative (to ${\Pi}$) F-regular relation which generalize the notions of F-proximality, F-regularity and relative F-proximality, and will study its properties.

• Korean Journal of Mathematics
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• 제26권3호
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• pp.405-424
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• 2018

In this paper we study some comparative growth properties of composite entire functions on the basis of relative (p, q)-th order and relative (p, q)-th lower order of entire function with respect to another entire function where p and q are any two positive integers.

• 인지과학
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• 제14권2호
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• pp.49-56
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• 2003

이 논문은 한국어 내포 머리어 관계절의 통사적인 특징을 살펴보고 이 구문이 한국어를 모국어로 사용하는 아동들에 의해 어떻게 습득되는가를 조사하는데 그 목적이 있다. 먼저, 한국어 내포 머리어 관계절 구문의 통사적인 특징을 살펴보기 위하여 내포 머리어 관계절을 생성문법에 비추어 분석을 하였다. 이 분석을 통해, 한국어의 내포 머리어 관계절은 일반적인 외포 머리어 관계절에 비해 통사적으로 사용이 더 제한되어 있다는 것을 알 수 있었다. 다시 말해, 내포 머리어 관계절은 여러 개의 절을 넘어 관계화가 일어날 수 있는 외포 머리어 관계절과 달리 하나 이상의 절을 넘어 관계화가 일어날 수 없다. 또한 내포 머리어 관계절은 주어, 직접목적어, 간접목적어, 전치사의 목적어 등이 관계화될 수 있는 외포 머리어 관계절과 달리 단지 주어와 직접목적어만이 관계화가 가능하다. 그리고, 내포 머리어 관계절의 습득 연구를 위해 관찰 방법을 이용한 내포 머리어 관계절의 자료뿐만 아니라 이해도 측정 실험과 산출 실험을 이용한 자료도 같이 분석하였다. 이들 자료의 분석을 통해, 내포 머리어 관계절은 외포 머리어 관계절에 비하여 아동들이 이해하고 말하기가 더 쉽고 따라서 외포 머리어 관계절에 비해 아동들에 의해 더 일찍 습득됨을 알 수 있었다. 보통 내포 머리어 관계절은 성인들에게는 잘 사용되지 않는다고 알려져 있는데 아동들에게 특히 언어 발달 과정의 이른 시기에 있는 아동들에게 외포 머리어 관계절의 습득에 앞서 많이 사용되어진다는 습득 연구에서의 결과는 언어발달의 이른 시기에 있는 아동들이 내포 머리어 관계절을 어떻게 이용하는지를 말해준다. 다시 말해, 아동들은 언어 발달의 이른 시기에는 이해하고 말하기 어려운외포 머리어 관계절 대신 쉬운 내포 머리어 관계절을 임시적으로 사용하는 것으로 볼 수 있겠다. 실제, 외포 머리어 관계절은 언어 발달 과정에서 늦게 습득이 되는 것으로 보고되고 있다.

• 한국해양공학회지
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• 제18권5호
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• pp.50-56
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• 2004

This study is on the constant-current stress corrosion test, related to the load stress, in both the welded and non-welded zones of high tensile strength steel that is used for natural gas transmission. The surface corrosion pattern of the welded zone of API 5L-X65 specimens for natural gas transmission showed general corrosion and narrow pitting, and the pitting was increased with load stress. Initially, the average relative electrode potential and the average relative current of the high tensile strength steel, used for natural gas transmission specimens, were decreased rapidly, and the average relative electrode potential was higher and the average relative current was lower in welded zone, compared to base metal. The average relative electrode potential was decreased with load stress, and the average relative current was somewhat increased by increasing the load stress. The corrosion rate was less in welded zone, compared to base metal, and the corrosion rate was decreased by increasing the load stress.

• Geomechanics and Engineering
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• 제10권2호
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• pp.207-224
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• 2016

Granulated coal ash (GCA), a mixture of the by-product from milling processes with a small amount of cement added, has recently come to be used as a new form of geomaterial. The shear strength and deformation behaviours of GCA are greatly determined by its relative density or void ratio. A series of drained triaxial compression tests were performed on cylindrical specimens of GCA at confining pressures of between 50 kPa and 400 kPa at initial relative densities of 50%, 70% and 80%. Experimental results show that a rise in relative density increases the peak shear strength and intensifies the dilation behaviour. The initial tangent modulus and secant modulus of the stress-strain curve increase with increasing initial relative density, whereas the axial and volumetric strains at failure decrease with level of initial relative density. The stress-dilatancy relationships of GCA at different relative densities and confining pressures display similar tendency. The dilatancy behaviour of GCA is modelled by the Nova rule and the material property N in Nova rule of GCA is much larger than that of natural sand.

• 한국입자에어로졸학회지
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• 제9권2호
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• pp.69-78
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• 2013

In this study, the atmospheric aerosol concentration measured at different relative humidity levels was analyzed. Using an optical particle counter, PM10 and PM2.5 concentration as well as particle size distribution were measured and the relation between these size resolved data and relative humidity was studied. The results showed that mass concentration increases as relative humidity increases. The comparison between PM1, PM2.5 and PM10 showed that the fine particles grow more than coarse particles as relative humidity increases. The results also showed that PM10-2.5 and relative humidity do not show close correlation, which means that the mass increase of PM10 at high relative humidity is mainly due to the growth of PM2.5.

• 한국농공학회논문집
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• 제54권5호
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• pp.69-77
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• 2012

Relative density, used to express dynamics condition of sand quantitatively, is measured by RI Test, Standard Penetration Test and Cone Penetration Test. Each measurement method has demerits, which is complicated or needs a specific analysis instrument and an analysis of expert. Also the ground is in wet condition commonly because of an unsaturated zone between a saturated zone and a surface, so the behaviour of the ground has different engineering properties unlike the dry ground and it diminishes accuracy of measuring relative density. In this study, the correlation between relative density and penetration of fall cone test in dry condition and wet condition with variation of water content was analyzed and a simple measuring method for relative density was suggested. As a result, there were difference of penetration between dry sands and wet sands, the correlation between relative density and penetration showed linear expression and relative density could be measured by the linear relation.