• 제목/요약/키워드: Korean variety

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PRODUCTS ON THE CHOW RINGS FOR TORIC VARIETIES

  • Park, Hye-Sook
    • 대한수학회지
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    • 제33권3호
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    • pp.469-479
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    • 1996
  • Toric variety is a normal algebraic variety containing algebraic torus $T_N$ as an open dense subset with an algebraic action of $T_N$ which is an extension of the group law of $T_N$. A toric variety can be described in terms of a certain collection, which is called a fan, of cones. From this fact, the properties of a toric variety have strong connection with the combinatorial structure of the corresponding fan and the relations among the generators. That is, we can translate the diffcult algebrogeometric properties of toric varieties into very simple properties about the combinatorics of cones in affine spaces over the reals.

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SEXTIC MOMENT PROBLEMS ON 3 PARALLEL LINES

  • Yoo, Seonguk
    • 대한수학회보
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    • 제54권1호
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    • pp.299-318
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    • 2017
  • Sextic moment problems with an infinite algebraic variety are still widely open. We study the problem with a single cubic column relation associated to 3 parallel lines in which the variety is infinite. It turns out that this specific column relation has a strong connection with moment problems that have a symmetric algebraic variety. We present more concrete solutions to some sextic moment problems with a symmetric variety.

Crystallinity change of silkworm variety cocoons by heat treatment

  • Bae, Yu Jeong;Noh, Si Kab;Um, In Chul
    • International Journal of Industrial Entomology and Biomaterials
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    • 제42권1호
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    • pp.7-13
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    • 2021
  • In the present study, the effect of heat treatment on the crystallinity of the outside of silkworm cocoon in nine different silkworm varieties was studied using ATR-FTIR spectroscopy. Additionally, the morphological structure and moisture regain of the cocoon were examined. The silkworm cocoon showed different colors and external features depending on the silkworm variety. Moreover, the thickness of the filament (15.3-27.6 ㎛) and moisture regain of the cocoon (9.0%-11.0%) were quite different depending on the silkworm variety. The crystallinity index of the cocoon outside varied from 52.1% to 56.1%, depending on the silkworm variety. J300 and MO42 showed the highest (56.1%) and the lowest (52.1%) crystallinity index, respectively, indicating that the microstructure of sericin of the outside of the cocoon was affected by the silkworm variety. Regardless of silkworm variety, their crystallinity indexes decreased from 52.1%-56.1% to 49.9%-43.6% depending on the silkworm variety by the heat treatment at 250 ℃. Interestingly, the crystallinity degree decrease was somewhat different depending on the silkworm variety, implying that the cocoon sericin microstructure is strongly influenced by the silkworm variety.

THE F-VECTORS OF SOME TORIC FANO VARIETIES

  • Park, Hye-Sook
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.437-444
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    • 2003
  • A toric variety is defined by a certain collection of cones. Especially a toric Fano variety is obtained from a special nonsingular fan. In this paper, we define the f-vectors of toric Fano varieties as the numbers of faces of the corresponding fans, and investigate the f-vectors of some toric Fano varieties.

Comparison of Morpho-physiological Characteristics in Diploid and Tetraploid Platycodon grandiflorum

  • Kwon, Soo-Jeong;Lee, Hee-Doo;Seo, Dong-Yeon;Moon, Young-Ja;Cho, Gab-Yeon;Boo, Hee-Ock;Woo, Sun-Hee;Kim, Hag-Hyun
    • 한국작물학회지
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    • 제61권2호
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    • pp.138-144
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    • 2016
  • The present study was performed to compare the morpho-physiological characteristics of the tetraploid and diploid varieties of Platycodon grandiflorum and to obtain basic data for cultivating a tetraploid variety with high yield and content of functional substances. The plant height of the tetraploid variety (54.0 cm) was slightly higher than that of the diploid variety. The leaf length and width of the tetraploid variety were 10.2 cm and 7.3 cm, respectively. The results obtained from the present study revealed that the form of the leaf changed from lanceolate to ovate, and the chlorophyll content in the tetraploid variety (16.7) was slightly higher than that in the diploid variety. The photosynthetic rate significantly increased (24%) to $13.4{\mu}mol\;CO_2{\cdot}m^{-2}{\cdot}s^{-1}$ in the tetraploid variety from that of the diploid variety. The pollen viability of the tetraploid variety was decreased by approximately 33% with respect to that of the diploid variety, but this did not have a significant adverse effect on seed production. The fresh weight of tetraploid P. grandiflorum was 49.4 g, which was approximately 44% higher than that of the diploid variety.