• 호남수학학술지
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• 제46권1호
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• pp.101-113
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• 2024

In this paper, we define the generalized tricomplex numbers and give some algebraic properties of them. By using the matrix representation of generalized tricomplex numbers, we determine a motion on the hypersurface M in eight dimensional generalized linear space ℝ⁸_αβγ and show that this is a homothetic motion. Also, for some special cases of the real numbers α, β and γ, we give some examples of homothetic motions in ℝ⁸ and ℝ⁸₄ and obtain some rotational matrices in these spaces, too.

• 디자인학연구
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• 제15권4호
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• pp.169-176
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• 2002

All kinds of artwork, including multimedia and digital image that has been subliminated into an af mediating two numbers 0 and 1 in recent age, are self-sufficient and autonomous in themselves. Nevertheless, each of those artworks can be realized as a real entity only if its appreciator is capable enough to explore some potential meaning out of it through his or her own perceptual work. According to Mikel Dufrenne, an artwork is composed of three existential tiers: "le sensible" or the sensible material; "fe representation" or the subject(le sujet), and "1′expression." Dufrenne contends that our esthetic perception can be realized by way of three steps that are comparable to those three tiers: perception of the presence of the body("le sensible"), contemplative perception by way of imagination("le representation"), and reflective perception ("1′expression") as a result of dialectics of sense and sensibility. This paper argues on the aesthetic perception with regard to digital image expressed by two numbers 0 and 1, putting focus on the epistemological role of sensibility(감) that explores "1′expression" a la Dufrenne.

• 한국정밀공학회지
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• 제13권6호
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• pp.78-89
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• 1996

Every mechanical component is fabricated with the variations in its size and shape, and the allowable range of the variation is specified by the tolerance in the design stage. Geometric tolerances specify the size or the thickness of each shape entity itself or its relative position and orientation with respect to datums. Since the range of shape variation can be represented by the variation of the coordinate system attached to the shape, the transformation matrix of the coordinate system would mathematically express the range of shape variation if the interval numbers are inserted for the elements of the transformation matrix. For the shape entity specified by the geometric tolerance with reference to datums, its range of variation can be also derived by propagating the transformation matrices composed of interval numbers. The propagation depends upon the order of precedence of datums.

• Journal of applied mathematics & informatics
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• 제35권3_4호
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• pp.331-347
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• 2017

Soft sets are fantastic mathematical tools to handle imprecise and uncertain information in complicated situations. In this paper, we defined the hybrid structure which is the combination of soft set and complex number representation of intuitionistic fuzzy set. We defined basic set theoretic operations such as complement, union, intersection, restricted union, restricted intersection etc. for this hybrid structure. Moreover, we developed this theory to establish some more set theoretic operations like Disjunctive sum, difference, product, conjugate etc.

• 대한전기학회논문지
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• 제39권5호
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• pp.494-499
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• 1990

A new compact hierarchical representation method image is proposed. This method represents a binary image with the set of decimal numbers. Each decimal number represents the pattern of nonterminal node(gray node) in the quadtree. This pattern implies the combination of its four child nodes. The total number of gray nodes is one third of that terminal nodes. We show that gray tree method is efficient comparing with others which have been studied.

• 정보교육학회논문지
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• 제20권1호
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• pp.13-20
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• 2016

실세계에서 데이터는 숫자와 문자, 이미지, 소리 등 다양한 형태로 존재한다. 하지만 컴퓨터에서는 실세계의 데이터를 디지털 형태인 1과 0으로 표현하고 있다. 초등학생들은 전통적인 강의식 방법으로는 컴퓨터에서 사용하고 있는 데이터 표현에 대한 개념을 이해하기에는 매우 어렵다. 따라서 본 논문에서는 초등학생들이 데이터 표현 개념을 쉽게 이해할 수 있도록 기존의 연구를 분석하고 언플러그드 교수-학습 방법에 대해 연구하였다. 이를 위해 정보교육학회 소프트웨어교육 내용 체계를 분석하고, 초등학교 중학년을 위한 데이터 표현 교육 내용을 선정하였다. 또한 데이터 표현 교육을 위해 언플러그드 방식을 이용한 교수-학습 지도안을 개발하고 수업자료를 개발하였다. 본 연구에서 제시한 언플러그드를 통한 교수-학습 방법이 데이터 표현 교육에 도움이 되기를 기대한다.

• 대한수학회논문집
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• 제17권1호
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• pp.15-20
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• 2002

We present an explicit form for a class of definite integrals whose special cases include some definite integrals evaluated, over a century ago, by Cahen who made use of an appropriate contour integral for the integrand of a well-known integral representation of the Riemann Zeta function given in (3). Furthermore another analogous class of definite integral formulas and some identities involving Riemann Zeta function and Euler numbers En are also obtained as by-products.

• 한국초등과학교육학회지:초등과학교육
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• 제36권3호
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• pp.256-272
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• 2017

The purpose of this research is to study and learn more features how this type of distribution for communication in $6^{th}$ grade first semester elementary science and mathematics according to communicative expression by 2009 revised curriculum. For this study, based on an analysis standard presented in previous research on the types of communication. The results of this research are as follows. First, because the mathematics presents the number of ways to communicate twice more than science, mathematics go through with much more problems to solve than science. Second, in mathematics, spoken method and written method have similar proportion, less in physical activity method. Third, Science showed balanced proportion among four areas; earth, life, energy, and material. On the other hand, mathematics only showed small numbers in the area of geometry but similar numbers in number and operations, regularity, measurement. Fourth, there is no common feature or relevance about communicative approach for convergence thinking in 2009 revised curriculum, it seems that it doesn't consider it as a revised.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제7권1호
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• pp.85-89
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• 2007

Many authors considered the computational aspect of sup-min convolution when applied to weighted average operations. They used a computational algorithm based on a-cut representation of fuzzy sets, nonlinear programming implementation of the extension principle, and interval analysis. It is well known that $T_W$(the weakest t-norm)-based addition and multiplication preserve the shape of L-R type fuzzy numbers. In this paper, we consider the computational aspect of the extension principle by the use of $T_W$ when the principle is applied to fuzzy weighted average operations. We give the exact solution for the case where variables and coefficients are L-L fuzzy numbers without programming or the aid of computer resources.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1993년도 하계학술대회 논문집 A
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• pp.383-386
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• 1993

In this paper, we propose a sensory data combination method by a fuzzy number approach for multisensor data fusion. Generally, the weighting of one sensory data with respect to another is derived from measures of the relative reliabilities of the two sensory modules. But the relative weight of two sensory data can be approximately determined through human experiences or insufficient experimental data without difficulty. We represent these relative weight using appropriate fuzzy numbers as well as sensory data itself. Using the relative weight, which is subjective valuation, and a fuzzy-numbered sensor data, the fuzzy weighted average method is used for a representative sensory data. The manipulation and calculation of fuzzy numbers can be carried out using the Zadeh's extension principle which can be approximately implemented by the $\alpha$-cut representation of fuzzy numbers and interval analysis.