• 대한전자공학회논문지
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• 제26권12호
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• pp.1886-1902
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• 1989

In this paper we discuss the generating algorithm of Kumar code sequences which are based on generalized bent sequences for FH-CDMA. The code sequence generator was constructed for the shift register stages n=4 over GF (5). Finally we analyze the characteristics fo Hamming correlation between two code sequences and the time-frequency correlatins of the complete waveform with the sinusoidal chips as the elemental waveforms.

• Kyungpook Mathematical Journal
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• 제59권2호
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• pp.233-240
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• 2019

In the present paper, absolute matrix summability of infinite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, is proved using almost increasing and ${\delta}$-quasi-monotone sequences. Also, a result dealing with absolute $Ces{\grave{a}}ro$ summability is given.

• 대한수학회보
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• 제56권3호
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• pp.585-596
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• 2019

It is shown that a pair of Hilbert space operators V and W such that $V^*W=I$ (called a biisometric pair) shares some common properties with unilateral shifts when orthonormal bases are replaced with biorthogonal sequences, and it is also shown how such a pair of biisometric operators yields a pair of biorthogonal sequences which are shifted by them. These are applied to a class of Laguerre operators on $L^2[0,{\infty})$.

• Kyungpook Mathematical Journal
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• 제59권1호
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• pp.23-34
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• 2019

In this paper, we first define generalizations of Pell and Pell-Lucas sequences by the recurrence relations $$p_n=2ap_{n-1}+(b-a^2)p_{n-2}\;and\;q_n=2aq_{n-1}+(b-a^2)q_{n-2}$$ with initial conditions $p_0=0$, $p_1=1$, and $p_0=2$, $p_1=2a$, respectively. We give generating functions and Binet's formulas for these sequences. Also, we obtain some identities of these sequences.

• 호남수학학술지
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• 제45권3호
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• pp.418-432
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• 2023

In this study, we consider the Hankel and Gram matrices which are defined by the elements of special number sequences. Firstly, the eigenvalues, determinant, and norms of the Hankel matrix defined by special number sequences are obtained. Afterwards, using the relationship between the Gram and Hankel matrices, the eigenvalues, determinants, and norms of the Gram matrices defined by number sequences are given.

• 호남수학학술지
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• 제45권3호
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• pp.555-571
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• 2023

The main purpose of this paper is to introduce the concept of asymptotical deferred statistical equivalence in the Wijsman sense for double set sequences. Also, we give some properties of this concept and prove some theorems associated with this concept. Furthermore, we examine the connection between the concepts of asymptotical deferred statistical and Cesàro equivalence in the Wijsman sense for double set sequences.

• 한국양식학회지
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• 제9권1호
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• pp.93-100
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• 1996

물고기에서 효과적인 발현 vector의 구성을 위해, 미꾸라지 MAR로부터 ARS를 cloning하여, 그 염기서열을 분석하였다. 총 443 염기들로 구성된 미꾸라지의 ARS는 다른 여러종들의 DNA 복제원점에서 나타나는 것 처럼, AT가 풍부하고, ARS consensus sequences, topoi-somerase II consensus sequences, 그리고 A 흑은 T-box등을 포함하고 있다. 그리고 그 DNA 단편은 복제원점에서 일반적인 양상으로 나타나는 반복적인 inverted sequence들을 가지고 있고, 5개의 가능한 hairpin loop 구조들을 내포하고 있다. 이들 구조는 DNA 복제개시에 관여하는 단백질들의 인지부위로 작용할 것으로 생각된다.

• 대한디지털의료영상학회논문지
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• 제14권2호
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• pp.57-61
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• 2012

To compare the accuracy of breath-hold magnetic resonance imaging sequences to establish the most effective superparamagnetic iron oxide-enhanced sequence for detection of hepatic metastases. A total of 100 patients(50men and 50women, mean age: 60years) with liver disease(including malignant and benign liver lesions) were investigated at 3.0T machine (GE, General Electric Medical System, Excite HD) with 8Ch body coil. Pulse sequence for MR imaging decided to the FS-T2-FSE-RT(TR/TE/Thick./Freq./Phase=12857ms/100ms/7mm/512/384), MGRE(TR/TE/Thick./Freq./Phase=100ms/9.7ms/7mm/384/288), in-out of phase echo(TR/$TE_1$, $TE_2$/Thick./Freq./Phase=140ms/2.4, 5.8ms/7mm/352/300), Images obtained before the injection of SPIO. Six sequences were optimized for lesion detection: FS-T2-FSE-RT, multigradient recalled echo data image(MGRE), T2-weighted MGRE with an 9.7msec echo time. Images were reviewed independently by five blinded observers. The accuracy of each sequence was measured by using picture archiving communication system analysis. All results were correlated with findings at multidectator computed tomography examination. Differences between the mean results of the six observers were measured by using paired student t-test analysis. Postcontrast T2-weighted MGRE sequences were the most accurate and were significantly superior to postcontrast FS-T2-FSE-RT, T2-weighted MGRE, in-out of phase MR sequences(p < .05). For all lesions that were malignant or smaller than 1 cm, respectively, contrast to noise ratio of pre and postcontrast sequences were -1and -0.3 for T2-weighted FSE, 0.53 and 4.5 in-out of phase, 7, 7.08, 5.08, 3.32, 1.7, 1.16, 0.79, 0.68 for GRE with 2.9, 7.5, 12.1, 16.6, 21.2, 25.8, 30.4, 35.0 TE values. Breath-hold various TE precontrast sequences offer improvement in sensitivity compared with fixed multigradient recalled echo sequences alone.

• 한국전자거래학회지
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• 제26권1호
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• pp.127-140
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• 2021

최근 센서 측정 데이터, 구매이력 등과 같이 시간 정보를 포함하는 시퀀스(sequence) 데이터가 다양한 응용에서 발생되고 있다. 주어진 시퀀스들 중 다른 시퀀스들과 매우 상이한 이상(anomalous) 시퀀스를 탐지하는 기법들은 지금까지 많이 연구되어왔으나 이들 대부분은 주로 시퀀스 내 원소들의 순서만을 고려하여 이상 시퀀스를 찾는다는 한계가 있다. 따라서 본 논문에서는 원소들의 순서와 원소들 간의 시간 간격 모두를 고려하는 새로운 이상 시퀀스 탐지 기법을 제안한다. 본 논문에서 제안하는 방법은 확장된 LSTM 오토인코더 모델을 사용한다. 이 모델은 시퀀스를 해당 시퀀스 내 원소들의 순서와 시간 간격 모두를 효과적으로 학습할 수 있는 형태로 변환하는 층을 추가로 가진다. 제안방법은 확장된 LSTM 오토인코더 모델로 주어진 시퀀스들의 특징을 학습한 뒤, 해당 모델이 잘 복원하지 못하는 시퀀스를 이상 시퀀스로 탐지한다. 본 논문에서는 정상 시퀀스와 이상 시퀀스를 혼합한 가상 데이터를 사용하여 제안 방법이 전통적인 LSTM 오토인코더만을 사용하는 방법과 비교하여 100%에 가까운 정확도를 나타냄을 보인다.

• 대한수학회보
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• 제35권3호
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• pp.515-525
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• 1998

In this paper we obtain a "compactness" result that asserts the existence, in certain sets of sequences, of a sequence which has a maximal reciprocal sum. We derive this result from a much more general theorem which will be proved by introducing a metric into the set of sequences and using a topological argument.