• Proceedings of the IEEK Conference
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• 2005.11a
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• pp.687-690
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• 2005

H.264/AVC에서 압축 효율을 향상시키기 위해 사용된 entropy coding중에 CABAC(Context-based Adaptive Binary Arithmetic Coding)은 하드웨어 복잡도가 높고 bit-serial 과정에서 data dependancy가 존재하기 때문에 빠른 연산이 어렵다. 본 논문에서는 adaptive arithmetic encoder와 정규화 과정을 효율적으로 구성하여 각 입력 심벌이 정규화 과정의 반복횟수에 관계없이 고정된 cycle에 encoding이 되도록 하였다. 제안한 구조는 pipeline으로 구성하기 용이하며, 이 경우 매 cycle에 한 입력 심벌의 encoding이 가능하다.

• Journal of Applied Reliability
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• v.14 no.2
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• pp.103-107
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• 2014

An algorithm to get network reliability, where each link has probability of fuzzy number, is proposed. Decomposition method and fuzzy numbers arithmetic are applied to the algorithm. Pivot link is chosen one by one from start node recursively at time of decomposition, and arithmetic of fuzzy complementary numbers is included at the same time. No criteria of pivot link selection and the recursive calculation make the algorithm simple.

• 제어로봇시스템학회:학술대회논문집
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• 2000.10a
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• pp.259-259
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• 2000

In the recent, the size of hardware is smaller and the structure is simpler, without reducing the performance of the digital controller. Accordingly, the fixed-point arithmetic is very important in the digital controller. This paper presents simulation to apply the robust control algorithms to DVDR servo controller using the floating-point and fixed-point arithmetic from the matlab. Also, it analyses and compares the performance of control algorithms in the each of point calculation and presents a method for improvement of drop in the performance, quantization error and overflow/underflow from using the fixed-point arithmetic

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.1-22
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• 2017

The properties of arithmetic are considered as essential to understand the principles of calculation and develop effective strategies for calculation in the elementary school level, thanks to agreement on early algebra. Therefore elementary students' misunderstanding of the properties of arithmetic might cause learning difficulties as well as misconcepts in their following learning processes. This study aims to provide elementary teachers a part of pedagogical content knowledge about the properties of arithmetic and to induce some didactical implications for teaching the properties of arithmetic in the elementary school level. To do this, elementary school mathematics textbooks since the period of the first curriculum were analyzed. These results from analysis show which properties of arithmetic have been taught, when they were taught, and how they were taught. Based on them, some didactical implications were suggested for desirable teaching of the properties of arithmetic.

• Honam Mathematical Journal
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• v.37 no.4
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• pp.423-429
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• 2015

Dirichlet series is a Riemann zeta function attached with an arithmetic function. Here, we studied the properties of Dirichlet series and found some identities between arithmetic functions.

• Korean Journal of Mathematics
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• v.28 no.2
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• pp.191-203
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• 2020

Any powers of 11 are easily obtained from the Pascal triangle. In this work we study powering and negative powering of any k digit integers by means of certain arithmetic tables.

• Bulletin of the Korean Mathematical Society
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• v.37 no.2
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• pp.285-289
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• 2000

An additional term between the arithmetic mean and the geometric mean is presented.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.2
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• pp.345-349
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• 2011

In this work, we find the genera of arithmetic subgroups $\langle{\Gamma}_{\Delta}(N),{\Phi}\rangle$ of $GL_2^+(\mathbb{R})$ generated by congruence subgroup ${\Gamma}_{\Delta}(N)$ and the Fricke involution $\Phi$.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.4
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• pp.413-427
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• 2020

In this work we study 0-commuting matrix C(0) under relationships with the Pascal matrix C(1). Like kth power C(1)k is an arithmetic matrix of (kx+y)n with yx = xy (k ≥ 1), we express C(0)k as an arithmetic matrix of certain polynomial with yx = 0.

• Korean Journal of Computational Design and Engineering
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• v.15 no.3
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• pp.178-188
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• 2010

This paper addresses the problem of determining if two surfaces intersect tangentially or transversally in a mathematically consistent manner and approximating an intersection curve. When floating point arithmetic is used in the computation, due to the limited precision, it often happens that the decision for tangential and transversal intersection is not clear cut. To handle this problem, in this paper, interval arithmetic is proposed to use, which provides a mathematically consistent way for such decision. After the decision, the intersection is traced using the validated ODE solver, which runs in interval arithmetic. Then an iterative method is used for computing the accurate intersection point at a given arc-length of the intersection curve. The computed intersection points are then approximated by using a B-spline curve, which is provided as one instance of intersection curve for further geometric processing. Examples are provided to demonstrate the proposed method.