• Title/Summary/Keyword: Basket surfaces

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THE BASKET NUMBERS OF KNOTS

  • Bang, Je-Jun;Do, Jun-Ho;Kim, Dongseok;Kim, Tae-Hyung;Park, Se-Han
    • Korean Journal of Mathematics
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    • v.23 no.1
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    • pp.115-128
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    • 2015
  • Plumbing surfaces of links were introduced to study the geometry of the complement of the links. A basket surface is one of these plumbing surfaces and it can be presented by two sequential presentations, the first sequence is the flat plumbing basket code found by Furihata, Hirasawa and Kobayashi and the second sequence presents the number of the full twists for each of annuli. The minimum number of plumbings to obtain a basket surface of a knot is defined to be the basket number of the given knot. In present article, we first find a classification theorem about the basket number of knots. We use these sequential presentations and the classification theorem to find the basket number of all prime knots whose crossing number is 7 or less except two knots $7_1$ and $7_5$.

A CLASSIFICATION OF LINKS OF THE FLAT PLUMBING BASKET NUMBERS 4 OR LESS

  • Kim, Dongseok
    • Korean Journal of Mathematics
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    • v.22 no.2
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    • pp.253-264
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    • 2014
  • Flat plumbing basket surfaces of links were introduced to study the geometry of the complement of the links. In present article, we study links of the flat plumbing basket numbers 4 or less using a special presentation of the flat plumbing basket surfaces. We find a complete classification theorem of links of the flat plumbing basket numbers 4 or less.

Release Characteristics of Terbutaline Sulfate Sustained-Release Beads In Vitro (서방성 Terbutaline sulfate bead의 방출특성)

  • Kim, Ki Man;Kim, Young Il;Hong, Soon Uk
    • Korean Journal of Clinical Pharmacy
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    • v.1 no.1
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    • pp.23-30
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    • 1991
  • The sustained-release beads containing terbutaline sulfate (TBS) were prepared by rotogranulation method. The drug was dusted on the non-pareil seeds in a CF-granulator. The sustained-release beads were obtained by coating the active beads with ethylcellulose or $Eudragits^{(R)}$, using in any case the same granulator employed for active beads preparation. The release characteristics of sustained-release beads were examined in vitro by rotating basket method applied to $Bricanyl^{(R)}$ durules which is a sustained-release TBS matrix tablet. The release of terbutaline from the beads in vitro was first-order, and the release rate was dependent on both the coat weight ratio and membrane hydrophilicity. Both surfaces of the beads before and after dissolution were smooth. The drug release pattern from the beads could be thought the diffusion through the polymer membrane. The release rate and the surface of the beads stored for 3 years at room temperature were the same with those of the initial beads.

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