knot theory

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knot theory

Mathematical theory of closed curves in three-dimensional space. The number of times and the manner in which a curve crosses itself distinguish different knots. The fewest possible crossings is three, for the overhand (trefoil) knot, which occurs in two mirror versions according to the directions in which the curve crosses itself. Knot theory has been used to understand both atomic and molecular structures (protein folding).

knot theory [′nät ‚thē·ə·rē]

(mathematics)

The topological and algebraic study of knots emphasizing their classification and how one may be continuously deformed into another.

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No references found			AMS Short Course Applications of Knot Theory (2008: San Diego, CA) Ed. Applications of knot theory; proceedings by SciTech Book News From 1993, in her mid-twenties, Ruth was an assistant professor, then professor, at the University of Michigan studying knot theory. A graduate at just 13 by Huddersfield Daily Examiner (Huddersfield, England) Fusion categories can have implications for string theory, quantum computation and knot theory. Science's next superstars win fortune and fame: top students ... by Ehrenberg, Rachel / Science News			Knoll, Florence Knolles, Sir Robert Knoop hardness Knoop indentation test Knoop indenter knop Knopf, Adolph Knopf, Alfred Knopf, Alfred A. knopite Knopoff, Leon Knoppix Knorin, Vilgelm Knorin, Vilgelm Georgievich Knorozov, Iurii Knorozov, Iurii Valentinovich Knorr Reactions Knorr synthesis Knorre, Dmitrii Knorre, Dmitrii Georgievich Knossos Knot knot brush knot garden knot sealer knot theory Knot Trimmer knot-cluster Knotgrass knothole Knott County Knott, Sarah Gertrude knotted pillar knotted shaft knotted yarn Knotter knotting Knotting Machine knotty pine Knotweed knotwork Know-How Know-Nothing movement Know-Nothing Party knowbot Knowbot Information Service Knowland, William F. Knowledge knowledge acquisition Knowledge Analysis and Design System knowledge base			Knorre, Dmitrii Georgievich Knosp Knossos Knossos Knossos Knossus Knossus Knossus knot knot knot knot knot knot knot Knot (speed) knot brush Knot equivalence Knot garden Knot garden Knot Garden, The knot gardens knot gardens Knot Heads World Wide Knot Just Wood Knot log Knot log Knot Quality Score knot sealer knot sealer knot theory knot together knot together Knot Trimmer knot-cluster Knotberry Knotch Knotch Knotch knotgrass knotgrass knotgrass knotgrass knothead knothole knothole Knothole City Knothole City Knothole Village Knothole Village knotholes knotholes Knotless Knotless Knotless Knotless Knotless knotless anchor suture knots knots knots

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