J. B. Listing. Vorstudien zur Topologie. Gottinger Studien, 1847. Home/Search Document Not in Database Summary Related Articles Check |
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The Simplest Hyperbolic Knots - Callahan, DEAN, WEEKS (Correct)
....exceptional surgeries on these knots. 1. Introduction 1.1. Knot Enumeration. The mathematical theory of knots goes back to investigations by Gauss in the 1830 s. In 1847, Listing placed a knot diagram on the cover of his book Vorstudien zur Topologie, the rst published monograph on topology [Lis47] Tait began a systematic study of knots in a series of papers starting in 1877 [Tai98] At this point it became clear that it would be desirable to have a table of knots. In 1885 Little published his attempt at enumerating all knots with at most ten crossings [Lit85] This table had several ....
J.B. Listing, Vorstudien zur topologie, Gottinger Studien, 1847.
Knot theory from Vandermonde to Jones - Przytycki (Correct)
.... were discovered only about a hundred years later (e.g. the Kirchoff complexity of a circuit corresponds to the determinant of the knot or link determined by the circuit) On the other hand, Johann Benedict Listing (1808 1882) a student of Gauss, published his monograph (Vorstudien zur Topologie, [73]) A considerable part of the monograph is devoted to knots 11 . Listing stated in particular that the right handed trefoil knot ( and the left handed trefoil knot ( are not equivalent. Later Listing showed that the of position, which Leibniz initiated and to which only two geometers, Euler ....
.... when I read a little paper[ 110] on the subject, could give me any reference; and it was not till after I had sent my second paper to this Society that I obtained, in consequence of a hint from Professor Clerk Maxwell, a copy of the very remarkable Essay by Listing 13 , Vorstudien zur Topologie[[73]] of which (so far as it bears upon my present subject) I have given a full abstract in the Proceedings of the Society for Feb. 3, 1877. Here, as was to be expected, I found many of my results anticipated, but I also obtained one or two hints which, though of the briefest, have since been very ....
J. B. Listing, Vorstudien zur Topologie, Gottinger Studien (Abtheilung 1) 1 (1847), 811-875.
A New Parameterization of the Attitude Kinematics - Tsiotras, Longuski (1995) (1 citation) (Correct)
....the azimuthal angle describing the relative rotation about the selected body axis is taken about the body spin axis instead of the inertial spin axis, i.e, is a final rotation about the spin axis instead of an initial rotation. Recently we became aware of the Listing parameterization [8, 9] which is similar in spirit to the parameterization proposed in this paper. Walsh et al. 9] use this parameterization and they also introduce stereographic coordinates for the description of the orientation axis in order to solve the problem of spacecraft stabilization with two control torques. ....
LISTING, J.B., Vorstudien zur Topologie, Gottingen Studien, Chapter 10, 1847.
Parallel Graph Contraction For Dual Irregular Pyramids - Willersinn (1994) (1 citation) (Correct)
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J. B. Listing. Vorstudien zur Topologie. Gottinger Studien, 1847.
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