• 대순사상논총
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• 제23권
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• pp.345-383
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• 2014

This article intends to examine the value of the world citizenship in the perspective from the root meaning that is stressed as the behavior style of Daesoon thoughts in relation with 'desirable attitude of life in education of morality. Traditional root meaning of Daesoon thoughts turned out to be proper moral behavior principle such as Yin Yang harmonious virtue, God Humane keeping unity, and conviviality with regrets settlement. Such three principles of Daesoon Thoughts show the characteristic of global code such as respect of life, solidarity unity, and tolerant trust. To revise the phenomenon of duality, and to realize the human awakening in radically changing reality, we need to cultivate world citizenship based on the root meaning of Daesoon thoughts. Daesoon thoughts covering the East and the West, especially the key features of religion, can cultivate the world view of citizenship in the era of plural society based on folk beliefs toward Gucheon Sangje faith as the essence of the multiplism. The world citizenship of human society is necessary to unite the world in the unified construction cooperative spirits. All beings need to be away from antagonistic confrontation with the practice of mutual conviviality. The diameter of acquired joining world citizenship can have the opportunity to realize of Gucheon Sangje's Heaven and earth construction. The root meaning of Daesoon thoughts can contribute to moral practicality with world citizenship by practice of heavenly truth and human truth. First, cultivating heavenly truth by means of insight can develope the profound world citizenship. Secondly, the solidarity of the public and private can cultivate public citizenship. Thirdly, in the crisis of the mankind, this awakening conviviality can be foundation for world citizenship of public communication. Fourthly, the spirit that would not deceive ownself can be contributed to cultivating the world citizenship by means of the process of internalizing Daesoon thoughts. Nowadays in the plural society demanding world citizenship, the public citizenship can deepen the spirit of respect of life, solidarity unity, and tolerant trust in the process of world citizenship cultivation. In the future, the world citizenship can be deepen the alternative of practice in the continuous cultivation of world citizenship. In this process, we can form the culture of coexistence which can contribute to human society as well as korean society by developing the value of living together happiness through the guide of this phonesis.

• 대한수학회논문집
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• 제27권3호
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• pp.449-454
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• 2012

In this paper, we find the minimal polynomial of a primitive root of unity over cyclotomic fields. From this, we factorize cyclotomic polynomials over cyclotomic fields and investigate the coefficients of ${\Phi}_{3n}(x)$ when 3∤$n$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제23권1호
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• pp.53-59
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• 2016

Let G be a finite group containing a non-abelian Sylow 2-subgroup. We elementarily show that every G-Galois field extension L/K has a hyperbolic trace form in the presence of root of unity.

• 대한수학회지
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• 제46권1호
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• pp.41-49
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• 2009

Let $\zeta$ be a fixed complex number. In this paper, we study the quantity $S(\zeta,\;n):=mas_{f{\in}{\Lambda}_n}\;|f(\zeta)|$, where ${\Lambda}_n$ is the set of all real polynomials of degree at most n-1 with coefficients in the interval [0, 1]. We first show how, in principle, for any given ${\zeta}\;{\in}\;{\mathbb{C}}$ and $n\;{\in}\;{\mathbb{N}}$, the quantity S($\zeta$, n) can be calculated. Then we compute the limit $lim_{n{\rightarrow}{\infty}}\;S(\zeta,\;n)/n$ for every ${\zeta}\;{\in}\;{\mathbb{C}}$ of modulus 1. It is equal to 1/$\pi$ if $\zeta$ is not a root of unity. If $\zeta\;=\;\exp(2{\pi}ik/d)$, where $d\;{\in}\;{\mathbb{N}}$ and k $\in$ [1, d-1] is an integer satisfying gcd(k, d) = 1, then the answer depends on the parity of d. More precisely, the limit is 1, 1/(d sin($\pi$/d)) and 1/(2d sin($\pi$/2d)) for d = 1, d even and d > 1 odd, respectively.

• 한국통신학회논문지
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• 제38A권9호
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• pp.759-764
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• 2013

$q{\equiv}5$ (mod 8)의 경우에 유한체 $F_q$상에서 Atkin의 제곱근 알고리즘과 $q{\equiv}9$ (mod 16)의 경우에 Kong의 알고리즘으로부터 일반적인 제곱근 알고리즘을 제안한다. 우리의 알고리즘은 s가 $2^s|q-1$을 만족하는 가장 큰 양의 정수라 할 때, $2^s$차 원시근 ${\xi}$를 미리 계산하였고 s의 값이 작을 때 적용가능하다. 제시한 알고리즘은 제곱근을 계산하기 위해 한 번의 지수계산이 필요하고, Akin, M$\ddot{u}$ller, Kong의 알고리즘과 비교해보아도 유리하다.

• 한국컴퓨터정보학회:학술대회논문집
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• 한국컴퓨터정보학회 2023년도 제68차 하계학술대회논문집 31권2호
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• pp.163-164
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• 2023

실시간 3D 렌더링 게임의 제작 환경에서 캐릭터의 움직임은 모션 캡처(motion capture)를 통해 만들거나 애니메이터에 의해 제작된다. 걷기나 달리기 등 일정한 속도로 캐릭터가 움직이는 모션은 캐릭터가 제자리(in place)에서 움직이도록 한 뒤에 게임에서 프로그램에 의해 일정한 속도로 움직임으로써 구현할 수 있다. 하지만 일정하지 않은 속도로 움직이는 모션을 같은 방식으로 적용하면 캐릭터의 이동이 어색해진다. 이런 어색함을 보완하기 위해 언리얼이나 유니티 3D 등의 엔진에서는 루트 모션(root motion) 기능을 사용하고 있다. 그런데 루트 모션을 위한 계층 구조는 애니메이터의 작업 효율을 위한 계층 구조와 다른 측면이 있다. 본 논문에서는 3ds Max를 사용하여 애니메이터 친화적이고 루트 모션에도 적합한 캐릭터 리깅을 제시한다.

• 대한수학회보
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• 제60권4호
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• pp.1025-1034
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• 2023

Let U be the restricted quantized enveloping algebra Ũ_q(𝖘𝖑₂) over an algebraically closed field of characteristic zero, where q is a primitive 𝑙-th root of unity (with 𝑙 being odd and greater than 1). In this paper we show that any indecomposable submodule of U under the adjoint action is generated by finitely many special elements. Using this result we describe all ideals of U. Moreover, we classify annihilator ideals of simple modules of U by generators.

• Kyungpook Mathematical Journal
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• 제56권3호
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• pp.669-682
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• 2016

In this paper, we study the cellular structure of the G-edge colored partition algebras, when G is a finite group. Further, we classified all the irreducible representations of these algebras using their cellular structure whenever G is a finite cyclic group. Also we prove that the ${\mathbb{Z}}/r{\mathbb{Z}}$-Edge colored partition algebras are quasi-hereditary over a field of characteristic zero which contains a primitive $r^{th}$ root of unity.

• 대한수학회논문집
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• 제10권1호
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• pp.35-38
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• 1995

Let A be a symmetric positive definite Cartan matrix. As in [4], we denote by U the quantum group arising from A and $U_\lambda$ be the corresponding quantum group at a root of unity $\lambda$. In [4], Lusztig constructed irreducible highest weight $U_\lambda$-modules $L_\lambda(z)$ for $z \in Z^n$ and showed that $L_\lambda(z)$ is of finite dimension over C if and only if $z \in (Z^+)^n$.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1996년도 하계학술대회 논문집 B
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• pp.1005-1008
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• 1996

일부궤한 제어시스템이 안정화되는 비례보상기의 이득의 구간을 연구한다. 이 논문에서 제어시스템이 연결된 구간에 대하여 안정화되는 조건을 구한다. 연결된 구간은 그 구간에 있는 어떤 임의의 두 실수를 취할 때 두 실수 사이의 모든 실수가 그 구간에 속하는 경우를 말한다. 조건은 페루프 전달함수의 분자나 분모의 주파수를 매개변수로한 부등식으로 표현된다. 또한 이산 시간 제어시스템과 시간지연 연속시스템에 관한 조건도 구한다.