• 한국보육지원학회지
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• 제15권1호
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• pp.37-55
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• 2019

Objective: This study investigated whether executive function has a significant relationship to concrete, picture, and language clue tasks of the arithmetic story problem-solving ability, and its effects. Methods: The participants in the study were 112 young children at childcare centers. The following methods were used to evaluate executive function: Day-Night/Flag-Raising tasks, DCCS tasks, and digit span-reverse digit span methods. To measure the arithmetic story problem-solving ability concrete, picture, and language clue tasks were evaluated. Results: First, the higher the child's age, the higher their executive function and arithmetic story problem-solving abilities were. Second, there is a significant positive correlation between a young child's executive function and arithmetic story problem-solving ability. Third, when the task presentation method varied for concrete, picture, and language clue tasks, the effect of the subordinate factor of the execution function of the arithmetic story problem-solving ability also varied. Conclusion/Implications: Analysis confirmed the relationship between young children's executive function and arithmetic story problem-solving ability. The results are meaningful in showing that the sub-factors of the executive function have different influences on concrete, picture, and language clue tasks of the arithmetic story problem-solving ability.

• 호남수학학술지
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• 제37권4호
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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.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2005년도 추계종합학술대회
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• pp.715-718
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• 2005

Mobile devices is getting to include more functions according to the demand of digital convergence. Applications based on 3D graphic calculation such as 3D games and navigation are one of the functions. 3D graphic calculation requires heavy calculation. Therefore, we need dedicated 3D graphic hardware unit with high performance. 3D graphic calculation needs a lot of complicated floating-point arithmetic operation. However, most of current mobile 3D graphics processors do not have efficient architecture for mobile devices because they are based on those for conventional computer systems. In this paper, we propose arithmetic units for special functions of lighting operation of 3D graphics. Transcendental arithmetic units are designed using approximation of logarithm function. Special function units for lighting operation such as reciprocal, square root, reciprocal of square root, and power can be obtained. The proposed arithmetic unit has lower error rate and smaller silicon area than conventional arithmetic architecture.

• Journal of Applied and Pure Mathematics
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• 제5권3_4호
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• pp.265-279
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• 2023

In this paper, we firstly presented the definitions of arithmetic ${\mathcal{I}}$-statistically convergence, ${\mathcal{I}}$-lacunary arithmetic statistically convergence, strongly ${\mathcal{I}}$-lacunary arithmetic convergence, ${\mathcal{I}}$-Cesàro arithmetic summable and strongly ${\mathcal{I}}$-Cesàro arithmetic summable using weighted density via Orlicz function ${\tilde{\phi}}$. Then, we proved some theorems associated with these concepts, and we examined the relationship between them. Finally, we establish some sequential properties of ${\mathcal{I}}$-lacunary arithmetic statistical continuity.

• Korean Journal of Mathematics
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• 제28권4호
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• pp.791-802
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• 2020

We obtain a two variable generating function for the number of triangular partitions. Using this generating function, we study arithmetic properties of a certain weighted count of triangular partitions. Finally, we introduce a rank-type function for triangular partitions, which gives a combinatorial explanation for a triangular partition congruence.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2000년도 추계학술대회 논문집 학회본부 D
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• pp.778-780
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• 2000

The 74181 is arithmetic logic units(ALU)/function generator. This circuit performs 16 binary arithmetic operations on two 4-bit words. And a full carry look-ahead scheme is made available in this device. The 74181 can also be utilized as a comparator. This circuit has been also designed to provide 16 possible functions of two Boolean variables without the use of external circuitry. This paper analyzes the function of the logic and the implementation adopted in the design of 74181. The understanding of the logic characteristics of this chip enables us to improve future applications.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2000년도 춘계학술대회 학술발표 논문집
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• pp.5-8
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• 2000

Using the concept of a piecewise linear function, we present new operations for fuzzy arithmetic and then compare the operation based by the extension principle with the new operation.

• 대한안전경영과학회:학술대회논문집
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• 대한안전경영과학회 2009년도 추계학술대회
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• pp.565-572
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• 2009

This paper presents the optimization steps with weight and importance of estimated characteristic values in the multiresponse surface analysis(MRA). The research introduces the shape parameter of individual desirability function for relaxation and tighening of specification bounds. The study also proposes the combinded desirability function using arithmetic, geometric and harmonic means considering the measurement unit and numerical pattern.

• 호남수학학술지
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• 제44권2호
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• pp.244-258
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• 2022

In this work, by using an integral identity together with both the Hölder and the power-mean integral inequalities we establish several new inequalities for n-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means. In special cases, the results obtained coincide with the well-known results in the literature.

• 대한수학회논문집
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• 제38권2호
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• pp.355-364
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• 2023

In this paper, we investigate the sums of the elements in the finite set $\{x^k:1{\leq}x{\leq}{\frac{n}{m}},\;gcd_u(x,n)=1\}$, where k, m and n are positive integers and gcd_u(x, n) is the unitary greatest common divisor of x and n. Moreover, for some cases of k and m, we can give the explicit formulae for the sums involving some well-known arithmetic functions.