• 대한수학회보
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• 제29권1호
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• pp.89-99
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• 1992

In this paper we will prove some theorems on the period and the linear complexity of certain sequences in GF(q) which are generated by combining two sequences in a reasonable way. In fact these theorems are generalizations of the main result in [1]. A sequence of elements of GF(2) is called a binary sequence. In recent years considerable interest has been shown in the generation of binary sequences which have good properties. Such binary sequences play an important role in a stream cipher system.

• 호남수학학술지
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• 제41권4호
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• pp.757-768
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• 2019

In this paper, we investigate general topological properties of rough triple sequences in a gradual normed space. We define some new notions such as rough gradual convergent of triple sequences, rough triple gradual Cauchy sequences, etc.

• 호남수학학술지
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• 제42권1호
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• pp.161-173
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• 2020

We introduce statistically localized sequences in 2-normed spaces and give some main properties of statistically localized sequences. Also, we prove that a sequence is statistically Cauchy sequence if and only if its statistical barrier is equal to zero. Moreover, we define the uniformly statistically localized sequences on 2-normed spaces and investigate its relationship with statistically Cauchy sequences.

• 한국통신학회논문지
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• 제22권3호
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• pp.557-561
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• 1997

In this paper, we present three new classes of binary pseudorandom sequences of period ${2_n}-1$ with ideal autocorrelation. These sequences are newly found by an extensive computer search, and the conjectures on the construction of these sequences are formulated. We also classify the binary sequences of period ${2_n}-1$ with ideal autocorrelation, and enumerate them.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권4호
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• pp.253-265
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• 2018

In this paper, we introduce the concept of Fibonacci sequences on MV-algebras and study them accurately. Also, by introducing the concepts of periodic sequences and power-associative MV-algebras, other properties are also obtained. The relation between MV-algebras and Fibonacci sequences is investigated.

• Journal of applied mathematics & informatics
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• 제41권1호
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• pp.1-9
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• 2023

In the present paper, two theorems on absolute matrix summability of infinite series are generalized for the 𝜑 - |A, p_n|_k summability method using quasi 𝛽-power increasing sequences instead of almost increasing sequences.

• Journal of applied mathematics & informatics
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• 제41권3호
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• pp.541-552
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• 2023

In 2005, Patterson studied lacunary statistical convergence of double sequences of real numbers and, in 2009, Mursaleen introduced notion of lacunary statistical convergence of single sequences in intuitionistic fuzzy normed space. The current work intends to investigate the lacunary statistical convergence of double sequences and some significant conclusions on the algebra of the lacunary statistical limit of double sequences in intuitionistic fuzzy normed space. In addition, we have studied some examples to support the definitions.

• 대한수학회지
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• 제52권5호
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• pp.1051-1068
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• 2015

We use methods of relative homological algebra on the category C(mod${\Lambda}$), of complexes of finitely generated modules over an artin algebra ${\Lambda}$, to give some characterizations of almost split sequences.

• Journal of the Korean Statistical Society
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• 제28권2호
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• pp.253-264
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• 1999

Conditinal weakly convergence of the blockwise bootstrapped empirical process for stationary sequences to the appropriate Gaussian process is reestablished particularly for severely dependent $\alpha$-mixing sequences. Issue of block size is discussed from the point of validity of bootstrap method.

• 한국통신학회논문지
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• 제32권11C호
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• pp.1059-1065
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• 2007

이 논문에서는, 일반 홀상관 (general odd correlation) 성질이 비동기 (asynchronous) M진 위상 신호 (M-ary phase signal) 방식에 알맞은 다상 (polyphase) 서명 수열 (signature sequence) 집합을 제안하고 상관 성질을 분석한다. 또한, 제안한 수열과 짝상관 (even correlation) 성질이 좋은 기존 다상 수열인 FZC (Frank-Zadoff-Chu) 수열, 짝상관과 홀상관이 같은 EOE (equivalent odd and even correlation) 수열을 최대 절대 상관값을 (the maximum magnitude of correlations) 사용하여 상관 성질을 견주어 본다. M진 위상 신호 방식을 사용한 직접수열 부호분할 다중접속 (direct sequence code division multiple access: DS/CDMA) 시스템에서 제안한 수열과 FZC 수열을 사용할 때를 모의 실험한 결과, 다중 경로 성분이 존재할 때 제안한 수열을 쓴 시스템 성능이 FZC 수열을 쓸 때보다 더 나음을 보인다.