In the context of higher gauge theory, we construct a flat and fake flat 2-connection, in the configuration space of n particles in the complex plane, categorifying the Knizhnik–Zamolodchikov connection. To this end, we define the differential crossed module of horizontal 2-chord diagrams, categorifying the Lie algebra of horizontal chord diagrams in a set of n Air Jordan 7 Retro
parallel copies of the interval. This therefore yields a categorification of the 4-term relation. We carefully discuss the representation theory of differential crossed modules in chain-complexes of vector spaces, which makes it possible to formulate the notion of an infinitesimal 2-R matrix in a differential crossed module.
Non-uniform rational B-spline (NURBS) curves and surfaces are becoming increasingly widespread. The author have explored G1 continuity Air Jordan 7 Raptor
condition between adjacent NURBS surface Jordan Retro Shoes Canada patches along common cubic boundary curve. On the basis of the research performed, this paper presents a G2 continuity condition between adjacent NURBS patches along common cubic boundary curve and deduces a specific algorithm for control points and weights of NURBS patch. For making another NURBS patch and one given NURBS patch to attain G2, according to algorithm condition, one can adjust another patch control points and weights. It is much more convenient for engineers to apply.