• Kyungpook Mathematical Journal
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• 제20권2호
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• pp.251-259
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• 1980

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.483-488
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• 2007

Given a set ${\Omega}$, the notion of ${\Omega}-fuzzy$ ideals in a near-ring is introduced, and related properties are investigated. Using fuzzy ideals, ${\Omega}-fuzzy$ ideals are described. Conversely, fuzzy ideals are constructed by using ${\Omega}-fuzzy$ ideals.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.549-555
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• 2006

Using a t-norm, the notion of T-fuzzy subalgebras of right K(G)-algebras is introduced, and fundamental properties are investigated. The fact that T-fuzzy subalgebras of a right K(G)-algebra form a complete lattice is proved.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제37권3호
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• pp.467-482
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• 2023

본 논문에서는 인공지능 알고리즘에서 많이 사용되는 경사하강법(gradient descent method)을 대학수학 강좌에서 인공지능 활용사례로 사용할 수 있도록 연구한 교수·학습 기초자료를 소개한다. 특히 대학 미적분학 수준에서도 가르칠 수 있도록 자세한 개념 설명과 함께 복잡한 함수에 관해서도 쉽게 계산할 수 있도록 파이썬(Python) 기반의 SageMath 코드를 제공한다. 그리고 실제 인공지능 응용과 연계하여 선형회귀에서 발생하는 최소제곱문제를 경사하강법을 활용하여 풀이한 예시도 함께 소개한다. 본 연구는 대학 미적분학 뿐만 아니라 공학수학, 수치해석, 응용수학 등과 같은 고급 수학 과목을 지도하는 다양한 교수자들에게 도움이 될 수 있다.

• 공학교육연구
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• 제22권4호
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• pp.22-31
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• 2019

This study aims to elucidate the relationship between physics and mathematics to predict achievement for the college level of engineering courses. For the last 4 years, more than 3,000 engineering college freshmen of this study took the diagnostic tests on three subjects, which were physics, mathematics, and chemistry before enrollment. We studied how strongly these diagnostic scores can predict each general college course grades. The correlation between the physics diagnostic scores and the course grades in physics was .264, which was significantly lower than the correlation between the mathematics scores and the physics grades, .311. This stronger prediction of the mathematical diagnostic scores for the general course grades was not found when predicting the grades in chemistry. We therefore conclude that mathematical preparation can unexpectedly predict future achievement in physics better than physics preparation due to the academic interrelationships between mathematics and physics.

• Journal of applied mathematics & informatics
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• 제31권3_4호
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• pp.379-383
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• 2013

In this paper, we introduce more general concepts of regularity and S-unitality, that is, ${\pi}$-regularity and ${\pi}S$-unitality and then give some examples in near-rings, also investigate their characterization and proper-ties.

• 대한수학회논문집
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• 제10권3호
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• pp.541-544
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• 1995

In [1], Ahmad has given a characterization of prime dual ideals in bounded commutative BCK-algebras. The aime of this paper is to show that Theorem of [1] holds without the commutativity.

• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.345-349
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• 2010

Throughout this paper, we denote that R is a (right) near-ring and G an R-group. We will derive some properties of substructures and quotient substructures of Rand G.

• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.509-513
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• 2010

In this paper, we will investigate some properties of strongly reduced near-rings. The purpose of this paper is to find more characterizations of the strong regularity in near-rings, which are closely related with strongly reduced near-rings.

• 대한수학회보
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• 제37권2호
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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.