• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.737-746
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• 1999

For a locally compact Abelian group G, and a commutative Banach algebra B, let $L^1$(G, B) be the Banach algebra of all Bochner integrable functions. We show that if G is noncompact and B is a semiprime Banach algebras in which every minimal prime ideal is cnotained in a regular maximal ideal, then $L^1$(G, B) contains no nontrivial separating idal. As a consequence we deduce some automatic continuity results for $L^1$(G, B).

• Journal of the Chungcheong Mathematical Society
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• v.6 no.1
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• pp.89-94
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• 1993

The main goal of the present paper is to investigate conditions for the separating ideal of a Banach algebra to be nilpotent.

• Kyungpook Mathematical Journal
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• v.53 no.4
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• pp.497-505
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• 2013

The noncommutative Singer-Wermer conjecture states that every derivation on a Banach algebra (possibly noncommutative) leaves primitive ideals of the algebra invariant. This conjecture is still an open question for more than thirty years. In this note, we approach this question via some sufficient conditions for the separating ideal of ${\phi}$-derivations to be nilpotent. Moreover, we show that the spectral boundedness of ${\phi}$-derivations implies that they leave each primitive ideal of Banach algebras invariant.

• Journal of applied mathematics & informatics
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• v.4 no.1
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• pp.273-278
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• 1997

Let A be a Banach algebra and B a semisimple annifilator Banach algebra. Then every homomorphism from A into B with range is continuous. Also we obtain condition s for the automatic continuity of homomorphism with dense range.

• Journal of the Korean Crystal Growth and Crystal Technology
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• v.13 no.2
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• pp.51-55
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• 2003

The interrelation into nucleation and thermodynamic parameters of solutions has been established by plotting of various dependencies: the enthalpy of dissolution, solubility product and super-solubility on ionic salt radii and also the extent of deviation from an ideal Debye -Huckel model of electrolyte solution on solubility product. The possible methods of perfect crystal growth from aqueous solution have been found a priori by separating of known set of pair values of solubility and super-solubility into no less than six-nine characteristic and distinctive sub-sets.

• Speech Sciences
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• v.5 no.1
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• pp.81-88
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• 1999

This paper provides a method for speech detection. After first order FIR filtering on the speech signals, we applied the conventional method of endpoint detection which utilizes the energy as the criterion in separating signals from background noise. By FIR filtering, only the Fourier components with large values of [amplitude x frequency] become significant in energy profile. By applying this procedure to the 445-words database constructed from ETRI, we confirmed that the low-amplitude noise and/or the low-frequency noise are separated clearly from the speech signals, thereby enhancing the feasibility of ideal endpoint detections.

• Bulletin of the Korean Mathematical Society
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• v.26 no.1
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• pp.31-34
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• 1989

In this paper we show that if there is a derivation on a commutative Banach algebra which has a non-nilpotent separating space, then there is a discontinuous derivation on a commutative Banach algebra which has a range in its radical. Also we show that if every prime ideal is closed in a commutative Banach algebra with identity then every derivation on it has a range in its radical.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.5 no.4
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• pp.291-296
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• 2005

In this paper, we introduce a generalized synchronization method and secure communication in the State-Controlled Cellular Neural Network (SC-CNN). We make a SC-CNN using the n-double scroll. A SC-CNN is created by applying identical n-double scroll or non-identical n-double scroll and Chua's oscillator with weak coupled method to each cell. SC-CNN synchronization was achieved using GS(Generalized Synchronization) method between the transmitter and receiver about each state variable in the SC-CNN. In order to secure communication, we have synthesizing the desired information with a SC-CNN circuit by adding the information signal to the hyper-chaos signal using the SC-CNN in the transmitter. And then, transmitting the synthesized signal to the ideal channel, we confirm secure communication by separating the information signal and the SC-CNN signal in the receiver.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• v.9 no.2
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• pp.289-293
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• 2005

this paper, we introduce a secure communication method using complex system. We make a complex system with the n-double scroll or Chua's oscillator. The Complex system is created by applying identical n0double scroll or non-identical n-double scroll and Chua's oscillator with weak soupled method to each cell. In order to secure communication, we have synthesizing the desired information with a complex system circuit by adding the information signal to the hyper-chaos signal. And then, transmitting the synthesized signal to the ideal channel, we confirm secure communication by separating the information signal and the complex system signal in the receiver.

• Journal of the Daesoon Academy of Sciences
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• v.24_2
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• pp.85-115
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• 2015

The Reordering of the Universe(天地公事) pursuing the Latter world(後天)'s ideal world while denying the Former world(先天) is composed of enormous rituals. The Dosu(度數) is formed through these rituals and the world is transformed according to the Dosu. The people who follow the Sangje(上帝), the subject of this universe reordering and also participate in the Reordering of the Universe are called as the followers. The follower group can be said as a ritual group in the aspect that they participate in the ritual for the Reordering of the Universe. They not only observed the rituals but also actively participated in them, so took certain roles in forming the Dosu. That is, they performed certain, given roles in developing the rituals, or actively proposed their ideas under the Sangje's leadership, and participated in the process realizing the Dosu. Therefore it can be said that they were a group initiatively participating in the process overcoming the Former world's Sangguk(相克) world, and making the latter world's ideal world. It seemed that the followers at that time might have gone through a certain entrance ritual process in order to join in such a follower group. The 『Jeon-Gyeong』 recorded the entrance rituals of a man called as Cha Gyeong Seok among tremendous followers relatively in detail. According to the 『Jeon-Gyeong』, he first had to get a unique test in the entrance process, and the test was proceeded in several stages: the wisdom test reflecting the Sangje's unusual intelligence, the patience test to endure physical, psychological pains for the great ethic, and the test to evaluate the testee's ability to give up past oneself and to follow the Sangje with a new body & mind. In the process separating himself from the past his appearance, Gyeong-Seok, the candidate to enter, faced a liminal situation, and then performed the incorporation rite. In this process, the purification rite going him out of the past relationship of benefits & grudges was performed, and he was given the regulations to comply as a member of the follower group. Through such serial processes, his entrance in the follower group was allowed. What requested to the candidate in this entrance process was the severance from one's past. For that, the candidate was needed to go out of his past life habits, to free from the relationship of benefits and grudges, and to sever him from his past faults. Such severance was the precondition for him to go out of the Former world's negative reality and to break from the Sanggeuk habits. Another thing requesting to the candidate as well as the severance from his past was to establish a new ideal. The new ideal should be matched with the ideal of the Reordering of the Universe whose main ideology was the Haewon-Sangsaeng(解冤相生). Such ideal can be said as the driving force to proceed toward the new ideal world of Latter World. And the candidate was requested to purify his mind and to participate in the Universe Fair Judgement (天地公庭). That can be said as an important condition for the new member directly to participate in the ritual of the Reordering of the Universe dramatically transforming the world. Finally, the candidate was given the regulations for his ascetic practice(修道) as well as his participation in the Reordering, and was requested to comply them. After becoming a member of this follower group, one had to practice his asceticism through the compliance with such regulations and the training of mantras(呪文) in order to accomplish the goal called as Dotong(道通). By fulfilling these requirements, the newly entered member could have the qualification to perform a certain role in the ritual of the Reordering of the Universe, and could accomplish his religious ideal.