• 대한수학회보
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• 제56권2호
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• pp.305-318
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• 2019

A sign pattern is a matrix whose entries belong to the set {+, -, 0}. An n-by-n sign pattern ${\mathcal{A}}$ is said to allow an eventually positive matrix or be potentially eventually positive if there exist at least one real matrix A with the same sign pattern as ${\mathcal{A}}$ and a positive integer $k_0$ such that $A^k>0$ for all $k{\geq}k_0$. Identifying the necessary and sufficient conditions for an n-by-n sign pattern to be potentially eventually positive, and classifying the n-by-n sign patterns that allow an eventually positive matrix are two open problems. In this article, we focus on the potential eventual positivity of broom sign patterns. We identify all the minimal potentially eventually positive broom sign patterns. Consequently, we classify all the potentially eventually positive broom sign patterns.

• Journal of Korean Neurosurgical Society
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• 제56권2호
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• pp.86-90
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• 2014

Objective : The spot sign is related with the risk of hematoma expansion in spontaneous intracerebral hemorrhage (ICH). However, not all spot sign positive patients undergo hematoma expansion. Thus, the present study investigates the specific factors enhancing the spot sign positivity in predicting hematoma expansion. Methods : We retrospectively studied 316 consecutive patients who presented between March 2009 to March 2011 with primary ICH and whose initial computed tomography brain angiography (CTA) was performed at our Emergency Department. Of these patients, 47 primary ICH patients presented spot signs in their CTA. We classified these 47 patients into two groups based on the presence of hematoma expansion then analyzed them with the following factors : gender, age, initial systolic blood pressure, history of anti-platelet therapy, volume and location of hematoma, time interval from symptom onset to initial CTA, spot sign number, axial dimension, and Hounsfield Unit (HU) of spot signs. Results : Of the 47 spot sign positive patients, hematoma expansion occurred in 26 patients (55.3%) while the remaining 21 (44.7%) showed no expansion. The time intervals from symptom onset to initial CTA were $2.42{\pm}1.24$ hours and $3.69{\pm}2.57$ hours for expansion and no expansion, respectively (p=0.031). The HU of spot signs were $192.12{\pm}45.97$ and $151.10{\pm}25.14$ for expansion and no expansion, respectively (p=0.001). Conclusions : The conditions of shorter time from symptom onset to initial CTA and higher HU of spot signs are the emphasizing factors for predicting hematoma expansion in spot sign positive patients.

• 국제지역연구
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• 제14권3호
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• pp.267-289
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• 2010

본 연구는 아시아지역에서의 한국과 일본의 대 아시아지역 직접투자의 특성을 거시적 측면과 미시적 측면으로 구분하여 분석하였다. 거시적 측면에서는 시장지향적 특성과 생산효율지향적 특성이 강한지를 다중회귀분석으로, 미시적 특성으로는 투자유형(합작 단독)과 투자규모, 노동집약도, 임금, 본사 파견 노동자 비율 등의 관계를 로지스틱회귀분석으로 분석하였다. 대체로 한국은 시장지향적 및 생산효율지향적 특성에서 2000년 이후 대체로 시장지향적 특성으로 전환되었고 일본은 생산효율지향적 특성에서 2000년 이후 대체로 시장지향적 및 생산효율지향적 특성으로 전환되었다. 한편 투자유형면에서는 한국과 일본 모두 GDP가 증가할수록, 파견노동자의 비율이 높을수록 단독투자를 선호하는 경향이 높은 것으로 나타났다. 한국은 투자규모가 클수록 현지임금이 높을수록 합작투자를, 일본은 자본집약도가 높을수록 단독투자를 선호하는 것으로 나타났다.

• 충청수학회지
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• 제13권1호
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• pp.119-130
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• 2000

We give alternative proof of the existence theorem for certain elliptic systems describing competing interactions with nonlinear di usion. The existence of positive solution depends on the sign of the principal eigenvalue of suitable operators of Schr$\ddot{o}$dinger type. If the sign of such operators are both positive, then system has a positive solution. The main tool employed is the fixed point index of compact operator on positive cones.

• 대한수학회논문집
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• 제12권4호
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• pp.869-880
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• 1997

In this paper, we give sufficient conditions of certain elliptic systems involving competing iteractions with nonlinear diffusion rates. The existence of positive solution depends on the sign of the first eigenvalue of operators of Schr$\ddot{o}$dinger type. More precisely, if the sign of such operators are either both positive or both negative, then system has a positive solution. The main tool employed is the fixed point index of compact operator on positive cones.

• 대한관절경학회지
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• 제7권2호
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• pp.215-219
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• 2003

목적 : 단순 방사선 사진에서 슬관절 외측 원판형 연골판을 진단하는데 도움이 되는 새로운 방사선 소견인 대퇴외과 절삭 징후(cut-off sign)를 관찰하여 이를 보고하고, 이의 진단적 의의를 특이도, 민감도, 양성 예측도, 음성 예측도와 함께 보고하고자 한다. 대상 및 방법 : 관절경 시술로 확진 된 50예의 완전 원판형 연골군과 50예의 정상 대조군을 대상으로 하였으며, Tunnel view에서 보이는 대퇴 외과와 내과의 내측부의 최장 길이를 측정하여 비율을 비교 분석하였다. 결과 : 원판형 연골군에서 대퇴 내과부 길이와 외과부 길이의 비율의 평균은 0.716 이였으며, 정상 대조군에서는 0.902 이었다. 이를 T-test로 분석했을 때, t-value는 -11.13 (p<0.0001)로 두 군간에 매 우 유의 한 차이를 나타내었으며, 또한 경계값(cut point)을 0.8로 하여 chi-square test로 분석했을 때 통계적으로 두 군간에 유의한 차이가 있었으며, 민감도 $76\%$, 특이도 $100\%$였으며, 양성 예측도 $100\%$, 음성 예측도 $80.6\%$로 나타났다. 절삭 징후는 육안적으로도 뚜렷한 차이를 보여 원판형 외측 반월상 연골을 단순 방사선 사진에서 진단할 수 있는 매우 좋은 간접적인 소견이라고 생각한다. 결론 : 대퇴 외과 절삭 징후는 단순 방사선 검사의 Tunnel view에서 원판형 연골을 진단할 수 있는 좋은 방사선 소견이며, $100\%$의 특이도와 $100\%$의 양성 예측도를 나타내는 우수한 진단소견으로 판단된다.

• 대한수학회보
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• 제47권2호
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• pp.411-422
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• 2010

By using the fixed point index theory, we investigate the existence of at least two positive solutions for p-Laplace equation with sign-changing nonlinear terms $(\varphi_p(u'))'+a(t)f(t,u(t),u'(t))=0$, subject to some boundary conditions. As an application, we also give an example to illustrate our results.

• Journal of applied mathematics & informatics
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• 제32권1_2호
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• pp.75-82
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• 2014

In this paper, we consider the periodic boundary value problem with sign changing nonlinearity $$u^{{\prime}{\prime}{\prime}}+{\rho}^3u=f(t,u),\;t{\in}[0,2{\pi}]$$, subject to the boundary value conditions: $$u^{(i)}(0)=u^{(i)}(2{\pi}),\;i=0,1,2$$, where ${\rho}{\in}(o,{\frac{1}{\sqrt{3}}})$ is a positive constant and f(t, u) is a continuous function. Using Leggett-Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is the nonlinear term f may change sign.

• Kyungpook Mathematical Journal
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• 제59권1호
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• pp.65-71
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• 2019

This paper is concerned with the existence of positive solutions of the nonlinear Neumann boundary value problems $$\{u^{{\prime}{\prime}}+a(t)u={\lambda}b(t)f(u),\;t{\in}(0,1),\\u^{\prime}(0)=u^{\prime}(1)=0$$, where $a,b{\in}C[0,1]$ with $a(t)>0,\;b(t){\geq}0$ and the Green's function of the linear problem $$\{u^{{\prime}{\prime}}+a(t)u=0,\;t{\in}(0,1),\\u^{\prime}(0)=u^{\prime}(1)=0$$ may change its sign on $[0,1]{\times}[0,1]$. Our analysis relies on the Leray-Schauder fixed point theorem.

• ETRI Journal
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• 제36권5호
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• pp.696-703
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• 2014

In this paper, we present a walking guidance system for the visually impaired for use at subway stations. This system, which is based on environmental knowledge, automatically detects and recognizes both exit numbers and arrow signs from natural outdoor scenes. The visually impaired can, therefore, utilize the system to find their own way (for example, using exit numbers and the directions provided) through a subway station. The proposed walking guidance system consists mainly of three stages: (a) sign detection using the MCT-based AdaBoost technique, (b) sign recognition using support vector machines and hidden Markov models, and (c) three verification techniques to discriminate between signs and non-signs. The experimental results indicate that our sign recognition system has a high performance with a detection rate of 98%, a recognition rate of 99.5%, and a false-positive error rate of 0.152.