• Korean Journal of Mathematics
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• 제32권1호
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• pp.109-120
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• 2024

The aim of this research is to describe lacunary ∆^m-statistically convergent sequences with respect to metrics on generalised metric spaces (g-metric spaces) and to look into the fundamental characteristics of this statistical form of convergence. Also, the relationship between strong summability and lacunary ∆^m-statistical convergence in g-metric space is established at the end.

• Kyungpook Mathematical Journal
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• 제60권3호
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• pp.535-549
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• 2020

In this paper, we introduce the geometry of contact CR submanifolds and radical transversal lightlike submanifolds of Sasaki-like almost contact manifolds with B-metric. We obtain some new results that establish a relationship between these two submanifolds.

• 한국HCI학회:학술대회논문집
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• 한국HCI학회 2006년도 학술대회 1부
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• pp.902-908
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• 2006

We propose a scheme for more efficient navigation in a hierarchical file system. In the proposed scheme, a program running in the background computes the degree of relationship between a current file and others, and builds a list of the most related files. The current relationship metric being used by the program is a linear combination of five parameters: the name, the directory path, the type, the created time, and the last accessed time of a file. A simulated annealing algorithm is used in order to determine the weighting factors of the parameters. A set of experiments were conducted in order to access the effectiveness of the proposed scheme.

• Journal of applied mathematics & informatics
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• 제42권2호
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• pp.433-444
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• 2024

Our study explores the connection between the Pythagorean theorem and the Fixed-point theorem in metric spaces. Both of which center around the concepts of distance transformations and point relationships. The Pythagorean theorem deals with right triangles in Euclidean space, emphasizing distances between points. In contrast, fixed-point theorems pertain to the points that remain unchanged under specific transformations thereby preserving distances. The article delves into the intrinsic correlation between these concepts and presents a novel study in Euclidean metric spaces, examining the relationship between contraction mapping and Pythagorean Right Triangles. Practical applications are also discussed particularly in the context of image compression. Here, the integration of the Pythagorean right triangle paradigm with contraction mappings results in efficient data representation and the preservation of visual data relation-ships. This illustrates the practical utility of seemingly abstract theories in addressing real-world challenges.

• Korean Journal of Mathematics
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• 제27권1호
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• pp.131-140
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• 2019

In this paper we have introduced the concept of pseudo-metric which we induced from a pseudo-valuation on KU-algebras and investigated the relationship between pseudo-valuations and ideals of KU-algebras. Conditions for a real-valued function to be a pseudo-valuation on KU-algebras are provided.

• 대한안전경영과학회지
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• 제15권1호
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• pp.293-301
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• 2013

The purpose of this study is to introduce the limit of previously used six sigma quality process evaluation metrics, $Z_{st}$ and $P_{pk}$, and a solution to overcome this drawback by using a metric based on performance evaluation of Z-factor quality innovation. Case analysis on projects from national six sigma contest from 2011 to 2012 is performed and literature review on new drug development HTS (High Throughput Screening) is used to propose innovative performance evaluation metrics. This research shows that experimental study on six sigma evaluation metric, $Z_{st}$ and $P_{pk}$, have no significance difference between industrial type (Manufacturing, Semi-Public Institute, Public Institute) and CTQ type (Product Technology Type CTQ, Process Technology Type CTQ). Following discovery characterize this quality improvement as fixed target type project. As newly developed moving target type of quality innovation performance metric Z-Factor is used for evaluating experimental study, hypothetical analysis suggests that $Z_{st}$ and $P_{pk}$ share different relationship or even show reciprocal relationship. Constraints of the study are relatively small sample size of only 37 projects from past 2 years and conflict on having interview and communication with six sigma quality practitioner for qualitative experimental study. Both moving target type six sigma innovation project and fixed target type improvement project or quality circle enables efficient ways for a better understanding and quality practitioner use by applying quality innovation performance metric. Downside of fixed target type quality performance evaluation metric, $Z_{st}$ and $P_{pk}$, is presented through experimental study. In contrast, advantage of this study is that high throughput requiring product technology, process technology and quantum leap typed innovation effect is evaluated based on precision and accuracy and Z-Factor that enables relative comparison between enterprises is proposed and implemented.

• 정보교육학회논문지
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• 제2권2호
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• pp.260-268
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• 1998

본 연구에서는 HTML이나 XML로 작성한 Web 문서들의 복잡도를 측정하는 모델을 제안한다, 문서들의 복잡도는 문서들을 이해하는 데 밀접한 영향을 미치고, 이 이해도가 높은 Web 문서들은 결국 WEI에 좋은 효과를 거둘 수 있다. 본 연구에서 제안한 복잡도는 Web 문서들 간의 주고받는 정보의 흐름의 정도를 표현하기 위하여 엔트로피의 함수를 이용한다. 제안한 문서 복잡도는 문서들간의 정보 이동 관계에 의해서 문서들 내의 정보 흐름을 측정한다. 논 연구에서 제안한 문서 복잡도의 타당도는 Weyuker가 제안한 프로그램의 복잡도 평가 방법을 이용하여 평가하였고, 실제 문서들의 복잡도를 측정하였다. 또한 문서화일의 수와 문서 복잡도간의 상관관계를 분석하여 본 연구에서 제안한 문서 복잡도의 효율성을 제시하였다.

• 호남수학학술지
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• 제45권2호
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• pp.300-315
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• 2023

In this article, we deal with the biharmonicity of a vector field X viewed as a map from a pseudo-Riemannian manifold (M, g) into its tangent bundle TM endowed with the Sasaki metric g_S. Precisely, we characterize those vector fields which are biharmonic maps, and find the relationship between them and biharmonic vector fields. Afterwards, we study the biharmonicity of left-invariant vector fields on the three dimensional Heisenberg group endowed with a left-invariant Lorentzian metric. Finally, we give examples of vector fields which are proper biharmonic maps on the Gödel universe.

• Nonlinear Functional Analysis and Applications
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• 제29권2호
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• pp.461-475
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• 2024

The concept of an extension α-F-contraction and it's modified counterpart represents an advancement in the theory of metric space contractions. Through our study of the contraction principles and it's relationship to extension and modified extension, we found different conditions somewhat lengthy. In our paper, we create a development of the conditions for the extension of α-F-contraction and a modified α-F-contraction by reducing the conditions and make them easier. Our propose conditions are notably simple and effective. They serve as the foundation for proving theorems and solving examples that belong to our study. Moreover, they have remarkable significance in the condition of mathematical analysis and problem-solving. Thus, we find that these new conditions that we mention in the definitions achieve what is require and through them, we choose λ = 1 and we choose λ ∈ (0, 1) to clarify our ideas.

• 한국통신학회논문지
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• 제36권11C호
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• pp.655-661
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• 2011

다양한 네트워크 환경에서 적응적인 서비스 품질을 제공할 수 있는 H.264 SVC 전송에 대한 연구가 활발하다. 본 논문은 H.264 SVC의 무기준법 객관적 화질 평가 방법으로서, H.264 SVC의 계층성을 이용한 품질 평가 지표를 제안한다. 제안하는 지표는 패킷 손실의 위치에 따라 움직임 벡터, 계층적 예측 구조에 의한 에러 전파 패턴, 양자화 파라미터, 영향을 받은 영상프레임 수 등 에러를 반영한 인지적 화질 평가를 예측한다. 제안하는 품질평가 지표는 사람의 인지적인 영상 품질을 반영한 객관적 지표이며 이 지표를 주관적 화질평가 결과인 DMOS와의 상관관계를 통해 성능을 검증하였다.