• Bulletin of the Korean Mathematical Society
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• v.45 no.1
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• pp.119-131
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• 2008

In this paper, we generalize the Gottlieb groups and the related G-sequence of those groups, and present some sufficient conditions to ensure the exactness or non-exactness of G-sequences at some terms. We also give some applications of the exactness or non-exactness of G-sequences. Especially, we show that the non-exactness of G-sequences implies the non-triviality of homotopy groups of some function spaces.

• Kyungpook Mathematical Journal
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• v.54 no.1
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• pp.87-94
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• 2014

In this paper, we introduce ultra g-Bessel sequences and study some properties of this kind of sequences in Hilbert spaces. We also show that every g-frame for a finite dimensional Hilbert space is an ultra g-Bessel sequence.

• The Plant Pathology Journal
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• v.19 no.3
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• pp.171-176
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• 2003

The complete nucleotide sequences of the genomic RNAs of Soybean mosaic virus strains GS (SMV-G5) and G7H (SMV-G7H) were determined and compared with sequences of other SMV strains. Each viral RNA was determined to be 9588 nucleotides in length excluding the poly (A) tail and contained an open reading frame to encode a polyprotein subsequently processed into up to ten proteins by proteolytic cleavage. Com-parison of the amino acid sequences with those of other SMV strains showed high percentage of amino acid sequence homology with the same genome organization. The nucleotide and the deduced amino acid sequences between SMV-G5 and SMV-G7H were greater than 99% identity. When compared with those of other SMV strains in a phylogenetic analysis of the nucleotide and deduced amino acid sequences, they formed a distinct virus clade showing over 97％ amino acid identity, but were more distantly related to the other potyvirus (44.1-69.6% identity). Interestingly, SMV G7H strain caused a severe mosaic or necrosis symptom in soybean cultivars including Jinpum-1, Jinpum-2, and Sodam, whereas, no symptom was observed in SMV-G5 inoculation. Complete nucleotide sequences of these strains will give clues for determining symptom determinant(s) in future research.

• Communications of the Korean Mathematical Society
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• v.35 no.1
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• pp.83-116
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• 2020

Let G be a finite group. By a sequence over G, we mean a finite unordered sequence of terms from G, where repetition is allowed, and we say that it is a product-one sequence if its terms can be ordered such that their product equals the identity element of G. The large Davenport constant D(G) is the maximal length of a minimal product-one sequence, that is, a product-one sequence which cannot be factored into two non-trivial product-one subsequences. We provide explicit characterizations of all minimal product-one sequences of length D(G) over dihedral and dicyclic groups. Based on these characterizations we study the unions of sets of lengths of the monoid of product-one sequences over these groups.

• ALGAE
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• v.38 no.1
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• pp.23-38
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• 2023

Accurately identifying species is the basis of all biological studies. There has been much confusion in the identification of Grateloupiacean species, which have finely pinnate gross morphology similar to Grateloupia filicina (the type species of the family). The objective of this study was to comprehensively investigate species identification and distribution of G. filicina-like species in the Northwest Pacific, based on the rbcL sequences. A total of 118 specimens from 78 sites in Korea and Japan were collected from 2001 to 2021 and analyzed for their rbcL sequences. Additional 341 sequences downloaded from the GenBank were included in our comprehensive dataset. Based on these sequences, we documented the nomenclatural history and geographical distribution of the species, and commented on the application of species name. G. asiatica was the most abundant G. filicina-like species in the Northwest Pacific, and its high degree of morphological variation caused many misidentifications. In particular, G. dalianensis, G. serra, and G. variata require reconsideration of their conspecificity with G. asiatica using more specimens from China. By contrast, G. oligoclora was presumed to be a heterotypic synonym of G. subpectinata. The occurrence of G. acuminata, G. ramosissima, and G. livida in Korea resulted from misidentifications with other species.

• Korean Journal of Mathematics
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• v.22 no.3
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• pp.443-454
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• 2014

In this paper, we give linearization of generalized Fi-bonacci sequences {$g_n$} and {$q_n$}, respectively, defined by Eq.(5) and Eq.(6) below and use this result to give the matrix form of the nth power of a companion matrix of {$g_n$} and {$q_n$}, respectively. Then we re-prove the Cassini's identity for {$g_n$} and {$q_n$}, respectively.

• Honam Mathematical Journal
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• v.45 no.3
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• pp.503-512
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• 2023

In the present article, we introduce the concepts of strongly asymptotically lacunary equivalence, asymptotically statistical equivalence, and asymptotically lacunary statistical equivalence for sequences in g-metric spaces. We investigate some properties and relationships among these new concepts.

• BMB Reports
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• v.30 no.4
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• pp.299-301
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• 1997

The asialoglycoprotein receptor (ASGPR) was the first described mammalian lectin that mediates the specific binding and internalization of galactose/N-acetylgalactosamine-terminating glycoproteins by hepatic parenchymal cells. H1 and H2 are known as essential subunits of the functional ASGPR. There were close similarities in ASGPR H2 subunits between cultured cell line HepG2 and normal human liver cells including identical sequences at both termini. It was therefore expected that there may be some similarities between the subunits from normal liver cells and fetal liver cells. The two subunits of human fetal liver ASGPR. designated FL-H1 and FL-H2. were cloned from cDNA library by peR and the sequences were compared with the known HI and H2 sequences of HepG2, and the H1 sequence of nornal human liver cells. The results showed that FL-H1 was identical to H1 of HepG2. Whereas FL-H2 contains a 15-bp miniexon, but missing 57-bp at the near upstream from the membrane-spanning domain compared to H2 of HepG2 and normal human liver cells indicating that FL-H2 resulted from a differential splicing compared to HepG2 and normal liver cells.

• Speech Sciences
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• v.7 no.3
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• pp.11-19
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• 2000

The present electropalatographic study reports the production of the allophones. i.e., [l] and [r], of Korean tap /r/ and their coarticulatory characteristics in /$C{\'{a}}r#g$/ and /$C{\'{a}}r#i$/ sequences. The finding that tap /r/ involves a complete oral closure with less lingual contact, i.e., apico-frontalveolar coupling. than lateralized /r/ which involves apico-bladealveolar coupling and tongue dorsum lowering for adequate airflow through either side and/or both of the tongue body suggests that the two allophones of the tap /r/ have different lingual gestures. Moreover. in comparison with the tap. the lateral exerts longer lingual contacts. The mean ratio between them is 3.7. In the sequences /Car#g/. the two adjacent antagonistic segments (i.e., /r/ and /g/) show mutual coarticulation effects taking on features of adjacent segment. but either of them is precisely constrained without blocking the formation of involved major lingual gestures for the other segment. In sequences /Car#i/ occurs anticipatory V-to-C coarticulation but not vocalic carryover effects. In both sequences. the allophones reveal insignificant wordinitial consonantal carryover coarticulatory effects and insignificant speaker-specific lingual contacts.

• ALGAE
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• v.27 no.2
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• pp.83-94
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• 2012

The taxonomic distinctiveness and cosmopolitan distributions of the red algae $Gelidium$ $crinale$ and $G.$ $pusillum$ remain unclear. Both species were first described in Devon in southwestern England; namely in Ilfracome for $G.$ $crinale$ and Sidmouth for $G.$ $pusillum$. We analyzed mitochondrial $cox$1 and plastid $rbc$L sequences from specimens collected in East Asia, Australia, Europe and North America. In all phylogenetic analyses of $cox$1 and $rbc$L sequences, $G.$ $crinale$ was distinct from congeners of the genus. The analyses also revealed a sister relationship with the $G.$ $coulteri$ and $G.$ $capense$ clade. Nineteen $cox$1 haplotypes were identified for $G.$ $crinale$, and they were likely geographically structured. Despite the distinctiveness in both $cox$1 and $rbc$L datasets, the sister relationship of $G.$ $pusillum$ in the genus was not resolved. Our $cox$1 and $rbc$L datasets indicate that $G.$ $crinale$ is a cosmopolitan species, found in East Asia, Australia, Europe and North America, while the distribution of $G.$ $pusillum$ is restricted to Europe and Atlantic North America. Our results suggest that infraspecific classification of $G.$ $pusillum$ may be abandoned.