• Title/Summary/Keyword: Complete sequence

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ON THE COMPLETE MOMENT CONVERGENCE OF MOVING AVERAGE PROCESSES GENERATED BY ρ*-MIXING SEQUENCES

  • Ko, Mi-Hwa;Kim, Tae-Sung;Ryu, Dae-Hee
    • Communications of the Korean Mathematical Society
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    • v.23 no.4
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    • pp.597-606
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    • 2008
  • Let {$Y_{ij}-{\infty}\;<\;i\;<\;{\infty}$} be a doubly infinite sequence of identically distributed and ${\rho}^*$-mixing random variables with zero means and finite variances and {$a_{ij}-{\infty}\;<\;i\;<\;{\infty}$} an absolutely summable sequence of real numbers. In this paper, we prove the complete moment convergence of {${\sum}^n_{k=1}\;{\sum}^{\infty}_{i=-{\infty}}\;a_{i+k}Y_i/n^{1/p}$; $n\;{\geq}\;1$} under some suitable conditions. We extend Theorem 1.1 of Li and Zhang [Y. X. Li and L. X. Zhang, Complete moment convergence of moving average processes under dependence assumptions, Statist. Probab. Lett. 70 (2004), 191.197.] to the ${\rho}^*$-mixing case.

A COMPLETE CONVERGENCE FOR LINEAR PROCESS UNDER ρ-MIXING ASSUMPTION

  • Kim, Hyun-Chull;Ryu, Dae-Hee
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.1
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    • pp.127-136
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    • 2010
  • For the maximum partial sum of linear process generated by a doubly infinite sequence of identically distributed $\rho$-mixing random variables with mean zeros, a complete convergence is obtained under suitable conditions.

ON THE STATISTICALLY COMPLETE FUZZY NORMED LINEAR SPACE.

  • Rhie, Gil Seob;Hwang, In Ah;Kim, Jeong Hee
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.597-606
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    • 2009
  • In this paper, we introduce the notion of the statistically complete fuzzy norm on a linear space. And we consider some relations between the fuzzy statistical completeness and ordinary completeness on a linear space.

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DNA Chip Technologies

  • Hwang, Seoung-Yong;Lim, Geun-Bae
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.5 no.3
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    • pp.159-163
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    • 2000
  • The genome sequencing project has generated and will contitute to generate enormous amounts of sequence data. Since the first complete genome sequence of bacterium Haemophilus in fluenzae was published in 1995, the complete genome sequences of 2 eukaryotic and about 22 prokaryotic organisms have detemined. Given this everincreasing amounts of sequence information, new strategies are necessary to efficiently pursue the phase of the geome project- the elucidation of gene expression patterns and gene product function on a whole genome scale. In order to assign functional information to the genome sequence, DNA chip technology was developed to efficienfly identify the differential expression pattern of indepondent biogical samples. DNA chip provides a new tool for genome expreesion analysis that may revolutionize revolutionize many aspects of human kife including mew surg discovery and human disease diagnostics.

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A Study on Korean Connected Digit Recognizer Based on Semi-syllable and Post-processing (반음절기반의 한국어 연속숫자음인식과 그 후처리에 대한 연구)

  • Jeong, Jae-Boo;Chung, Hoon;Chung, Ik-Joo
    • Speech Sciences
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    • v.8 no.4
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    • pp.1-15
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    • 2001
  • This paper describes the effect of new recognition unit, a unit based on semisyllable, and its post processing method. A recognition unit based on semi-syllable expresses Korean connected digit's coarticulation effect. An existing method using semi-syllable limits next models, derived from current recognized models, to make complete connected digit sequence. However, this paper uses a new method to make complete connected digit sequence. The new post-processing method recognizes isolated digit words which include digits sequence from the digit combinations being able to occur from current recognized semi-syllable sequence. This method gives an improved accuracy rate than that of existing method. This new post processing provides two advantages. 1) It corrects current mis-recognized semi-syllable unit. 2) When people say each digit, they say it without regard to saying duration.

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On the fuzzy convergence of sequences in a fuzzy normed linear space

  • Rhie, Gil-Seob;Hwang, In-Ah
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.2
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    • pp.268-271
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    • 2008
  • In this paper, we introduce the notions of a fuzzy convergence of sequences, fuzzy Cauchy sequence and the related fuzzy completeness on a fuzzy normed linear space. And we investigate some properties relative to fuzzy normed linear spaces. In particular, we prove an equivalent conditions that a fuzzy norm defined on a ordinary normed linear space is fuzzy complete.

A NOTE ON COMPLETE MOMENT CONVERGENCE FOR ARRAYS OF ROWWISE EXTENDED NEGATIVELY ORTHANT DEPENDENT RANDOM VARIABLES

  • Kim, Hyun-Chull
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.3
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    • pp.507-519
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    • 2012
  • In this paper we obtain the complete moment convergence for an array of rowwise extended negative orthant dependent random variables. By using the result we can prove the complete moment convergence for some positively orthant dependent sequence satisfying the extended negative orthant dependence.

Complete Nucleotide Sequence and Organization of the Mitogenome of the Red-Spotted Apollo Butterfly, Parnassius bremeri (Lepidoptera: Papilionidae) and Comparison with Other Lepidopteran Insects

  • Kim, Man Il;Baek, Jee Yeon;Kim, Min Jee;Jeong, Heon Cheon;Kim, Ki-Gyoung;Bae, Chang Hwan;Han, Yeon Soo;Jin, Byung Rae;Kim, Iksoo
    • Molecules and Cells
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    • v.28 no.4
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    • pp.347-363
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    • 2009
  • The 15,389-bp long complete mitogenome of the endangered red-spotted apollo butterfly, Parnassius bremeri (Lepidoptera: Papilionidae) was determined in this study. The start codon for the COI gene in insects has been extensively discussed, and has long remained a matter of some controversy. Herein, we propose that the CGA (arginine) sequence functions as the start codon for the COI gene in lepidopteran insects, on the basis of complete mitogenome sequences of lepidopteran insects, including P. bremeri, as well as additional sequences of the COI start region from a diverse taxonomic range of lepidopteran species (a total of 53 species from 15 families). In our extensive search for a tRNA-like structure in the A+T-rich region, one $tRNA^{Trp}$-like sequence and one $tRNA^{Leu}(UUR)$-like sequence were detected in the P. bremeri A+T-rich region, and one or more tRNA-like structures were detected in the A+T-rich region of the majority of other sequenced lepidopteran insects, thereby indicating that such features occur frequently in the lepidopteran mitogenomes. Phylogenetic analysis using the concatenated 13 amino acid sequences and nucleotide sequences of PCGs of the four macrolepidopteran superfamilies together with the Tortricoidea and Pyraloidea resulted in the successful recovery of a monophyly of Papilionoidea and a monophyly of Bombycoidea. However, the Geometroidea were unexpectedly identified as a sister group of the Bombycoidea, rather than the Papilionoidea.

Complete genome sequence of candidate probiotic Limosilactobacillus fermentum KUFM407

  • Bogun Kim;Ji yu Heo;Xiaoyue Xu;Hyunju Lee;Duleepa Pathiraja;Jae-Young Kim;Yi Hyun Choi;In-Geol Choi;Sae Hun Kim
    • Journal of Animal Science and Technology
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    • v.66 no.4
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    • pp.859-862
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    • 2024
  • It has been reported that the administration of Limosilactobacillus fermentum alleviates diseases such as osteoporosis and colitis. In this study, we report the complete genome sequence of Limosilactobacillus fermentum KUFM407, a probiotic strain of LAB isolated from Korean traditional fermented food, Kimchi. Whole genome sequencing of L. fermentum KUFM407 was performed on the Illumina MiSeq and Oxford Nanopore MinION platform. The genome consisted of one circular chromosome (2,077,616 base pair [bp]) with a guanine cytosine (GC) content of 51.5% and one circular plasmid sequence (13,931 bp). Genome annotation identified 1,932 protein-coding genes, 15 rRNAs, and 58 tRNAs in the assembly. The function annotation of the predicted proteins revealed genes involved in the biosynthesis of bacteriocin and fatty acids. The complete genome of L. fermentum KUFM407 could provide valuable information for the development of new probiotic food and health supplements.