Manabu Sakai

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We obtain the distribution of inflection points and singularities on a parametric rational cubic curve segment with aid of Mathematica (A System of for Doing Mathematics by Computer). The reciprocal numbers of the magnitudes of the end slopes determine the occurrence of inflection points and singularities on the segment. Its use enables us to check whether(More)
We derive regions for T-cubic and arc/T-cubic spirals to two-point Hermite interpolation in terms of unit tangent vectors with help of Mathematica. The use of spirals gives the designer an excellent and speedy control over the shape of curve that is produced because there are no internal curvature maxima, curvature minima, inflection points, loops and cusps(More)
  • M Sakai
  • Journal of environmental science and health. Part…
  • 2001
Chronic toxicity tests with Daphnia magna were applied for examination of river water quality. Water was sampled from the Maioka River in Yokohama City on May 14, 20, and 27, 1999, and used for the test after solid-phase extraction. The chronic test was carried out according to the OECD method. The duration was 21 days and the total number of live offspring(More)
A cDNA encoding canine mucosal addressin cell adhesion molecule-1 (MAdCAM-1) was cloned. The entire open reading frame of canine MAdCAM-1 cDNA comprises 1137 bp, corresponding to 378 amino acid residues. The deduced amino acid sequence of canine MAdCAM-1 was 55.2%, 53.7%, and 52.4% identical to rat, mouse, and human MAdCAM-1, respectively. Canine MAdCAM-1(More)