• Journal of the Chungcheong Mathematical Society
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• v.24 no.2
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• pp.345-349
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• 2011

In this work, we find the genera of arithmetic subgroups $\langle{\Gamma}_{\Delta}(N),{\Phi}\rangle$ of $GL_2^+(\mathbb{R})$ generated by congruence subgroup ${\Gamma}_{\Delta}(N)$ and the Fricke involution $\Phi$.

• The Korean Journal of Soil Zoology
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• v.1 no.1
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• pp.1-4
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• 1996

This paper deals with a new genus, Mainothrus gen. n., and a new species, M. aquaticus sp. n., belonging to Trhypochthoniidae Willmann, 1931 from Korea. The key characters of the new genus distinguishable from other genera of Trhypochthoniidae are 1) six pairs of genital setae, 2) two pairs of anal setae, 3) fifteen pairs of notogastral setae, and 4) epimeral setal formula; 3-1-3-2.

• Animal cells and systems
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• v.16 no.3
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• pp.245-253
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• 2012

A genuine interstitial cyclopoid species belonging to the genus Psammophilocyclops Fryer, 1956 is recorded from the filtration basin of a water treatment plant, South Korea. The genus Psammophilocyclops is very rarely found, and only three species have been recognized as yet: P. boccaroi Fryer, 1956 from Africa, P. trispinosus Shen et Tai, 1964 and P. bispinosus Shen et Tai, 1964 from China. The present new species differs from the congeneric species by the character combination of 11-segmented antennule in female, four-segmented maxilliped with 2,1,1,2 setation, the spine formula of 3,3,3,3, and setal arrangement of 3,3,5,3 on the distal endopodal segments of legs 1-4. Descriptio and taxonomic accounts of the new species are presented with a revised generic diagnosis and a key to the species hitherto known in the genus.

• Journal of Species Research
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• v.11 no.3
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• pp.169-173
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• 2022

Three species belonging to the genus Trapania Pruvot-Fol, 1931 are redescribed from Korea in this paper: Trapania euryeia Gosliner & Fahey, 2008, T. japonica (Baba, 1935), and T. toddi Rudman, 1987. Among these species, T. japonica is newly added to Korean fauna. The genus Trapania is characterized by a pair of extra-rhinophoral appendages on each side of the head, tentacular foot corners, a pair of extra-branchial appendages present around the gill, radula formula N×1.0.1. and consists of denticulated teeth, triaulic reproductive system, and minute spines on the armed penis. Herein, synonyms of the genus Trapania are summarized through a detailed literature review and the diagnostic characters of the genus Trapania are provided. Three species of the genus Trapania from Korea are distinguished from each other based on the color of extra-rhinoporal appendages and extra-branchial appendages, ground color, and distribution range of the brown markings on the dorsal surface. A taxonomic key to the genus Trapania in Korea is provided. In addition, the morphological characteristics of three trapanian nudibranchs in Korea are described and detailed photos of living animal are provided.

• Bulletin of the Korean Mathematical Society
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• v.56 no.2
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• pp.333-349
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• 2019

We give explicitly an average value formula under the multiplication-by-2 map for the x-coordinates of the 2-division points D on the Jacobian variety J(C) of a hyperelliptic curve C with genus g if $2D{\equiv}2P-2{\infty}$ (mod Pic(C)) for $P=(x_P,y_P){\in}C$ with $y_P{\neq}0$. Moreover, if g = 2, we give a more explicit formula for D such that $2D{\equiv}P-{\infty}$ (mod Pic(C)).

• Korean Journal of Medicinal Crop Science
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• v.12 no.5
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• pp.401-405
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• 2004

Karyotypes were established in the eight Korean native species of the genus Iris. Chromosome numbers were 2n=50 in I. koreana and 2n=42 in I. uniflora var. carinata and their karyotype formulas were K = 2n = 50 = 14m + 28sm + 8st and K = 2n = 42 = 16m + 26sm, respectively. I. dichotoma and I. pseudoacorus were diploids of 2n=34. However, they showed different karyotype formulas: K = 2n = 34 = 26m + 6sm + 2st in I. dichotoma and K = 2n = 34 = 8m + 24sm + 2st in I. pseudoacorus. I. setosa, and I. pallasii var. chinensis carried the same chromosome numbers of 2n=40, but they showed different patterns of karyotype formula: K = 2n = 40 = 22m + 14sm + 4st in I. setosa and K = 2n = 40 = 26m + 12sm + 2st in I. pallasii var. chinensis. I. sanguinea was a diploid of 2n=28 and the karyotype formula was K = 2n = 28 = 14m + 14sm. I. ensata var. spontanea was a diploid of 2n=24 and the karyotype formula was K = 2n = 24 = 10m + 14sm. Each species showed characteristic chromosome composition with a pair of satellite chromosome except I. koreana with three pairs of satellite chromosomes. The chromosomes of I. dichotoma and I. uniflora were comparatively short, while the chromosomes of I. ensata were remarkably bigger than those of other species. These cytological data will give a useful information for the identification and breeding program of the Iris plants.

• Korean Journal of Environmental Biology
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• v.39 no.4
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• pp.590-603
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• 2021

Benthic harpacticoids were collected from the East Sea of Korea. Specimen were identified as members of the genus Robertgurneya Apostolov & Marinov, 1988 based on the following characteristics: the fourth segment of antennule with aesthetasc, antenna with three-segmented exopod, shape of mandible, and P1-P4 armature formula. Robertgurneya donghaensis sp. nov. is morphologically most closely related to R. simulans (Norman & Scott T., 1905) and R. similis similis (Scott A., 1896). However, R. donghaensis is characterized by the rostrum with a pointed tip, caudal rami about as board as the length of its inner edge, the first segment of the P1 endopod much longer than entire exopod, and the P5 exopod with five setae in male. The genus Robertgurneya is reported from Korean waters for the first time.

• Animal cells and systems
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• v.7 no.4
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• pp.331-335
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• 2003

Vertebrates with different habitats have different proportions of visual cells, with the rod cells responding to scotopic vision and the cone cells responding to photopic and color vision in their retinas. The present work studied whether the kinds and arrangement patterns of the cone cells and interlocking morphology of the lens were related to the kind of preys and habitats in the genus Zacco. The retinas were observed by a light microscopy using H-E staining method and the interlocking formula of the lens fibers were investigated by a scanning electron microscopy. The interlocking formula of the lens fibers of Z. temmincki is an ' anchor and socket ' connection, and that of Z. platypus is a ' ball and socket ' connection. The cone cells of Z. platypus and Z. temmincki constituted compacted mosaic patterns of row type. Away from the center, the double and single cone cells gradually increased in diameter. Zacco temmincki had identical double cone cells and Z. platypus had non-identical double and single cone cells. The eyes of Z. temminckifeeding on a moving aquatic insects in relative limpid water and swift current of mid and upper stream have better resolution than that of Z. platypus feeding on mainly adhesive algae and some aquatic insects in slightly turbid water of mid stream.

• Journal of applied mathematics & informatics
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• v.32 no.1_2
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• pp.17-26
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• 2014

In this paper, we present an algorithm for computing the number of points on the Jacobian varieties of genus 3 hyperelliptic curves of type $y^2=x^7+ax$ over finite prime fields. The problem of determining the group order of the Jacobian varieties of algebraic curves defined over finite fields is important not only arithmetic geometry but also curve-based cryptosystems in order to find a secure curve. Based on this, we provide the explicit formula of the characteristic polynomial of the Frobenius endomorphism of the Jacobian variety of hyperelliptic curve $y^2=x^7+ax$ over a finite field $\mathbb{F}_p$ with $p{\equiv}1$ modulo 12. Moreover, we also introduce some implementation results by using our algorithm.

• Journal of Species Research
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• v.5 no.3
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• pp.459-462
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• 2016

The branchiobdellidan species Holtodrilus truncatus (Liang, 1963) is reported for the first time in Korea. The genus Holtodrilus Gelder and Brinkhurst, 1990 is monotypic within the family Xironodrilidae, and the genus and family of this species are also new to the Korean fauna. The branchiobdellidan specimens were collected from the exoskeletons of the freshwater atyid shrimp, Neocaridina sp., sampled from the 'Andeok Valley', Jeju-do Province, South Korea. Holtodrilus truncatus is characterized by its terete body form, 7/7 dental formula (with a large medial tooth and three pairs of smaller lateral teeth), and no trunk appendages. In addition, we determined a partial sequence of the mitochondrial cytochrome c oxidase subunit 1 (CO1) gene as a DNA barcode marker for H. truncatus. The present study is the first record of the branchiobdellidan occurrence on a non-crayfish host (shrimp) in Korea. To date, seven species (four genera in three families) of branchiobdellidans have been reported in the Korean fauna.