• Journal of applied mathematics & informatics
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• 제8권3호
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• pp.909-917
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• 2001

In this paper we define product between fuzzy ${H_v}-ideals$ of given ${H_v}-rings$. we consider the fundamental relation ${\gamma}^*$ defined on and ${H_v}-ring$ and give some properties of the fundamental relations and fundamental rings with respect to the product of fuzzy ${H_v}-ideals$.

• 대한수학회보
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• 제40권1호
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• pp.1-8
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• 2003

In this paper, we further develop the weak polygroup theory, we define quotient weak polygroup and then the fundamental homomorphism theorem of group theory is derived in the context of weak polygroups. Also, we consider the fundamental relation $\beta$$^{*}$ defined on a weak polygroup and define a functor from the category of all weak polygroups into the category of all fundamental groups.s.

• Journal of applied mathematics & informatics
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• 제11권1_2호
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• pp.265-271
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• 2003

The purpose of this paper is to present certain results arising from product between fuzzy $H_{v}$-submodules. In particular, we consider the fundamental relation $\varepsilon$* defined on an $H_{v}$-module and give a property of the fundamental relations and fundamental modules with respect to the fuzzy product of $H_{v}$-modules.

• 호남수학학술지
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• 제42권2호
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• pp.219-234
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• 2020

The fundamental relation on a fuzzy hyperring is defined as the smallest equivalence relation, such that the quotient would be the ring, that is not commutative necessarily. In this paper, we introduce a new fuzzy strongly regular equivalence on fuzzy hyperrings, where the ring is commutative with respect to both sum and product. With considering this relation on fuzzy hyperring, the set of the quotient is a commutative ring. Also, we introduce fundamental functor between the category of fuzzy hyperrings and category of commutative rings and some related properties. Eventually, we introduce α-part in fuzzy hyperring and determine some necessary and sufficient conditions so that the relation α is transitive.

• 대한수학교육학회지:수학교육학연구
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• 제19권1호
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• pp.123-142
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• 2009

운동학 맥락은 미적분 학습에서 미적분의 형식적인 내용의 직관적인 이해의 원천으로 간주된다. 속도 그래프 아래의 넓이와 이동 거리 관계는 적분 영역에서 다루는 운동학적 맥락의 토대이며, 미적분의 기본정리가 역사적으로 발달한 맥락이다. 본 연구는 속도 그래프 아래의 넓이와 거리 계산 사이의 관계를 통해서 미적분의 기본정리를 조명하고, 이를 통해서 교과서 및 학생들의 이해에서 나타나는 문제점을 분석하였다. 그리고 이상의 논의 결과를 종합하여 미적분의 기본정리에 대한 교육적 시사점을 제안하였다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제11권2호
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• pp.127-132
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• 2004

$H_v$-rings first were introduced by Vougiouklis in 1990. The largest class of algebraic systems satisfying ring-like axioms is the $H_v$-ring. Let R be an $H_v$-ring and ${\gamma}_R$ the smallest equivalence relation on R such that the quotient $R/{\gamma}_R$, the set of all equivalence classes, is a ring. In this case $R/{\gamma}_R$ is called the fundamental ring. In this short communication, we study the fundamental rings with respect to the product of two fuzzy subsets.

• 대한수학회지
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• 제36권6호
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• pp.1021-1031
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• 1999

In this paper we introduce matrix representations of polygroups over hyperrings and show such representations induce representations of the fundamental group over the corresponding fundamental ring. We also introduce the notion of a polygroup hyperring generalizing the notion of a group ring. We establish homo-morphisms among various polygroup hyperrings.

• Journal of Astronomy and Space Sciences
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• 제2권2호
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• pp.131-151
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• 1985

Fundamental data for 400 classical cepheids have been compiled. The PC-relation is derived and compared with similar relations for the Magellanic Clouds; it is fund that the differences are not great.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제29권3호
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• pp.207-230
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• 2022

In this article, we investigate several aspects of (R, S)-hyper bi-modules and describe some their properties. The concepts of fundamental relation, completes part and complete closure are studied regarding to (R, S)-hyper bi-modules. In particular, we show that any complete (R, S)-hyper bi-module has at least an identity and any element has an inverse. Finally, we obtain a few results related to the heart of (R, S)-hyper bi-modules.

• 천문학회보
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• 제37권2호
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• pp.141.2-141.2
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• 2012

We present photometric solutions of the 26,212 eclipsing binaries discovered in the LMC by Graczyk et al. (2011). They published that 70 percent of a total are detached systems. Another 25 and 5 percent are semi-detached and contact binaries, respectively. We discovered that 21 percent of 26,121 eclipsing binary stars are eccentric orbit systems. The binary star distribution in the LMC is different from those of the Galactic center direction (Bade window). It is very interesting that there are only 5 of 357 (2 percent) stars have eccentric orbit in the Galactic Center (Kang 2011). We selected the light curve of 18,274 detached systems. Then we estimated the fundamental parameters on the basis of their photometric solutions and the semi-major-axis (a) assuming the distance modulus to the LMC~18.50. We compared the estimated fundamental parameters with an empirical mass-luminosity relation and consistency between mass-radius relation base on stellar evolution model in the low metallicity (Z=0.008) by Bertelli et al. (2009). This method allows for independent determine of the fundamental parameters of the eclipsing binaries in the LMC without the radial velocity curves.