• 대한수학회보
• /
• 제50권5호
• /
• pp.1631-1637
• /
• 2013

This paper generalizes the Aleksandrov problem and Mazur Ulam theorem to the case of $n$-normed spaces. For real $n$-normed spaces X and Y, we will prove that $f$ is an affine isometry when the mapping satisfies the weaker assumptions that preserves unit distance, $n$-colinear and 2-colinear on same-order.

• 한국자기학회:학술대회 개요집
• /
• 한국자기학회 2008년도 Asian Magnetics Conference
• /
• pp.265.2-265.2
• /
• 2008

• Bulletin of the Korean Chemical Society
• /
• 제33권5호
• /
• pp.1527-1535
• /
• 2012

Selection of the most informative molecular descriptors from the original data set is a key step for development of quantitative structure activity/property relationship models. Recently, mutual information (MI) has gained increasing attention in feature selection problems. This paper presents an effective mutual information-based feature selection approach, named mutual information maximization by replacing collinear variables (MIMRCV), for nonlinear quantitative structure-property relationship models. The proposed variable selection method was applied to three different QSPR datasets, soil degradation half-life of 47 organophosphorus pesticides, GC-MS retention times of 85 volatile organic compounds, and water-to-micellar cetyltrimethylammonium bromide partition coefficients of 62 organic compounds.The obtained results revealed that using MIMRCV as feature selection method improves the predictive quality of the developed models compared to conventional MI based variable selection algorithms.

• Korean Journal of Mathematics
• /
• 제29권2호
• /
• pp.445-453
• /
• 2021

The purpose of the paper is to study of Para-Kenmotsu metric as a 𝜂-Ricci soliton. The paper is organized as follows: • If an 𝜂-Einstein para-Kenmotsu metric represents an 𝜂-Ricci soliton with flow vector field V, then it is Einstein with constant scalar curvature r = -2n(2n + 1). • If a para-Kenmotsu metric g represents an 𝜂-Ricci soliton with the flow vector field V being an infinitesimal paracontact transformation, then V is strict and the manifold is an Einstein manifold with constant scalar curvature r = -2n(2n + 1). • If a para-Kenmotsu metric g represents an 𝜂-Ricci soliton with non-zero flow vector field V being collinear with 𝜉, then the manifold is an Einstein manifold with constant scalar curvature r = -2n(2n + 1). Finally, we cited few examples to illustrate the results obtained.

• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 1997년도 춘계학술대회 논문집
• /
• pp.179-185
• /
• 1997

This paper presents machine vision technique with a camera modeling that accounts for major sources of camera distortion, namely,radial, decentering, and thin prism distortion. Radial distortion causes an inward or outward displacement of a given image point from its ideal location. Actual optical systems are subject to varios degrees of decentering,that is,the optical centers of lens elements are not strictly collinear. Thin prism distortion arises form imperfection in lens design and manufacturing as well as camera assembly. It is our purpose to develop the vision system for the pattern recognition and the automatic test of and to apply the line of part manufacturing.

• 식물조직배양학회지
• /
• 제27권4호
• /
• pp.317-323
• /
• 2000

Molecular genetic techniques can now be applied to the development of advanced plant genotypes, either through genetic transformation or genomic approaches which allow researchers to transfer specific traits using molecular markers. In this paper, we discuss the use of these techniques towards understanding the genetics of blackleg resistance in Brassica. In a comparative mapping study between Arabidopsis thaliana and Brassica napus, 6 R-ESTs, 7 B. napus RFLP markers and a B. napus EST were located in a collinear region of N7 (B. napus) and chromosome 1 (A. thaliana). One of the A. thaliana R-ESTs and 4 of the B. napus RFLPs co-segregated and mapped to the LmRl locus for blackleg resistance. Introgression of blackleg resistance from wild relatives is also investigated with the possibility of accelerating the introgression process via marker assisted selection.

• 대한수학회지
• /
• 제55권1호
• /
• pp.161-174
• /
• 2018

The aim of this article is to study the k-almost Ricci soliton and k-almost gradient Ricci soliton on contact metric manifold. First, we prove that if a compact K-contact metric is a k-almost gradient Ricci soliton, then it is isometric to a unit sphere $S^{2n+1}$. Next, we extend this result on a compact k-almost Ricci soliton when the flow vector field X is contact. Finally, we study some special types of k-almost Ricci solitons where the potential vector field X is point wise collinear with the Reeb vector field ${\xi}$ of the contact metric structure.

• Journal of the Optical Society of Korea
• /
• 제20권3호
• /
• pp.435-440
• /
• 2016

We developed a simple and real-time readout autocorrelator for several tens and sub-10fs pulses, based on the two photon absorption phenomena of a commercial GaP photodetector including a transimpedance amplifier. With a suitable gain adjustment, we demonstrated that the interferometric autocorrelation for sub-nJ pulses delivered as a high output voltage as to resolve all fringes in an autocorrelation trace with features of low noise and a low offset voltage. By fitting the measured quadratic power dependence of output voltages, we obtained the quantum efficiency of TPA for the GaP detector comparable with those of a GaAsP diode and an SHG with a thin BBO crystal. The autocorrelator of a TPA based GaP photodetector is highly suitable for sensitively measuring a few cycle pulses with a broad spectral distribution from 600 nm to 1100 nm.

• 대한화학회지
• /
• 제20권2호
• /
• pp.97-110
• /
• 1976

竝進-振動에너지 變換에 있어서 中間에너지 準位를 거치지 않는 直接勵起가 多量子 振動천이에 미치는 영향을 理論的으로 조사하였다. 衝突 모형은 直線 충돌이며, 分子間의 포텐셜은 指數函數型의 것을 振動좌표(q)로 전개하고 四次項 $(q^4)$까지 包含시켜 사용하였다. $q^2$, $q^3$, $q^4$를 포함시켰을 때의 천이 확률 $(P_{m{\rightarrow}n})$에 對한 一般式을 各各 유도하고, 몇개의 충돌계에 대하여 그 값들을 계산하였다.結果를 線型化시킨 포텐셜(q)을 사용한 경우의 結果와 比較하고 直按 多量子 振動遷移가 重要한 役割을 하게 되는 條件 파라미터 ${\nalpha}$ 및 m과 관련시켜 제시하였다.

• 한국정보통신학회논문지
• /
• 제24권10호
• /
• pp.1355-1360
• /
• 2020

지도에서 특별한 지형지물에 이름이나 설명문에 해당하는 레이블을 붙이는 것을 지도 레이블링(map labeling)이라고 한다. 본 논문에서는 직선상에 n개의 점들이 주어지고 점들에 대한 직사각형의 레이블을 위치시키는 문제를 다룬다. 특별히 레이블들의 높이는 모두 같고, 점들이 위치한 직선의 위쪽에 아래 변들이 모두 동일 선 위에 위치하도록 놓는다. 그리고 점과 레이블을 꺾은선으로 연결하고 이것을 지시선이라 부른다. 지시선은 수직선만으로 구성된 직선 지시선과 수직선, 수평선, 수직선으로 구성된 꺾인 지시선으로 나뉜다. 문제는 꺾인 지시선의 수를 최소화하도록 레이블을 위치시키는 것이고, 우리는 O(nlogn) 시간 알고리즘을 제안함으로서 [13]에서 제안한 O(n2) 시간 알고리즘을 개선한다.