• 한국수학교육학회지시리즈E:수학교육논문집
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• 제25권2호
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• pp.451-472
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• 2011

수학의 다양한 영역들 사이의 연결성은 수학 자체의 발달 과정 뿐만 아니라, 학생들의 수학 학습에서도 중요한 역할을 한다. 본 연구에서는 수학 문제에 포함된 대수식의 기하학적 해석을 통해 새로운 문제해결 방법을 탐구하였다. 특히 수학 문제해결에서 기하학적 접근에 대해 고찰하였고, 고등학교 수준의 비정형적인 문제들을 기하학적 해석을 통해 해결하며, 이에 관련된 문제해결의 특정들을 분석하였다. 본 연구에서 제시하는 자료들은 고등학교의 교수-학습 과정에서 직접 활용될 수 있을 것이다.

• Korean Journal of Mathematics
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• 제21권3호
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• pp.223-236
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• 2013

Schensted algorithm was first described in 1938 by Robinson [5], in a paper dealing with an attempt to prove the correctness of the Littlewood-Richardson rule. Schensted [9] rediscovered Schensted algorithm independently in 1961 and Viennot [12] gave a geometric interpretation for Schensted algorithm in 1977. In this paper we describe some properties of Schensted algorithm using Viennot's geometric interpretation.

• Communications for Statistical Applications and Methods
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• 제6권1호
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• pp.261-266
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• 1999

We present a geometric interpretation of Chebyshev type inequalities. This uses a simple diagram which illustrates the functional bound for the indicator function of the event whose probability we want to assess. We also give a geometric interpretation of the inequalities in terms of volume in a Euclidean space of appropriate dimension. Markov's inequality and Chebyshev's inequality are treated in more detail.

• 한국수학사학회지
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• 제20권3호
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• pp.59-72
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• 2007

복소수 발견초기 수학자들은 복소수에 대한 거부감이 상당했으나 복소수의 대수적 연산에는 큰 어려움이 없었다. 복소수가 수학적 대상으로 인정받기까지 많은 시간이 필요했던 이유는 복소수의 기하적 해석에 많은 시행착오와 시간이 필요했기 때문이다. 본 논문은 복소수의 기하적 해석의 싹을 Euclid 원론에서 찾고, Descarte, Wallis, Wessel를 거치면서 그 싹이 틔어가는 과정을 밝히고 있다. 복소수의 기하적 해석에 대한 세 명의 수학자들의 생각은 서로 다르지만 밀접한 관계가 있다. 이들은 선분과 복소수의 관계에 주목하고, 곱셈 연산을 일반화하면서 복소수의 기하적 해석을 시도하였다.

• Korea-Australia Rheology Journal
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• 제21권1호
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• pp.13-16
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• 2009

We investigate time-temperature superposition from the viewpoint of geometry. The arc length of viscoelastic plots provides powerful resolution for check of the validity of time-temperature superposition. We also suggest a new algorithm for determination of shift factor which is base on the minimization of the total arc length and does not assume any functional form of viscoelastic function.

• 대한수학회지
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• 제50권6호
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• pp.1223-1256
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• 2013

We give a geometric proof of the analyticity of the volume of a tetrahedron in extended hyperbolic space, when vertices of the tetrahedron move continuously from inside to outside of a hyperbolic space keeping every face of the tetrahedron intersecting the hyperbolic space. Then we find a geometric and analytic interpretation of a truncated orthoscheme and Lambert cube in the hyperbolic space from the viewpoint of a tetrahedron in the extended hyperbolic space.

• 한국가구학회지
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• 제18권2호
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• pp.152-160
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• 2007

The purpose of this study was to suggest a new approach to geometric abstraction for furniture design. For this study, Geometric abstraction that was done during 1917 through 1939 was investigated. Geometric abstraction is one form of pure abstraction and is mainly concerned with geometric elements and primary colors. De stijl and Bauhaus, which were emphasized groups during this period were influenced by geometric abstract arts. The purpose of this body of work has been to create furniture pieces that would express and embody my exploration and interpretation of geometric abstraction. The various compositions of geometric shapes, pure proportion, and primary color have been a focal point.

• 대한수학회보
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• 제38권3호
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• pp.449-461
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• 2001

The purpose of this paper is to study several geometric properties for the new class $G_{\kappa}(\beta)$ including geometric interpretation, coefficient estimates, radius of convexity, distortion property and covering theorem.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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• pp.1211-1214
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• 1993

In this paper, we present a fuzzy-number-oriented methodology to model uncertain geometric robot environment and to manipulate geometric uncertainty between robot coordinate frames. We describe any geometric primitive of robot environment as a parameter vector in parameter space. Not only ill-known values of the parameterized geometric primitive but the uncertain quantities of coordinate transformation are represented by means of fuzzy numbers restricted to appropriate membership functions. For consistent interpretation about geometric primitives between different coordinate frames, we manipulate these uncertain quantities using fuzzy arithmetic.

• Asian Journal of Business Environment
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• 제4권4호
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• pp.5-11
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• 2014

Purpose - The paper aims to study strategic enterprise resource initiative formation processes. It analyzes the process of managing the strategic resource initiative and discusses its implementation mechanism. A research model for enterprises' strategic development is proposed, which suggests a geometric interpretation for estimating a company's long-term development. Research design, data, and methodology - The analysis employs theoretical studies of modern researchers. The main models used to determine the optimal alternative business strategy are graphic interpretation and mathematical modeling. Results - The hypotheses testing demonstrates the definition of a company's strategic resource initiative and explains the-mechanism or design of its formation. The study presents a geometric prism-refraction model of practice using a strategic resource initiative. Conclusions - An enterprise's strategy could return to its initial state in case of its unexpected deviation as a result of passing through the nodal points. The proposed model allows us to evaluate business performance, its surrounding environment, and the resource management strategy, to determine the necessary scope of strategy changes necessary to bring it back to the original state.