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Abstract: Let f be a differentiable function on the real line, and let P\inG_{f}^{C}= all points not on the graph of f. We say that the illumination index of P, denoted by I_{f}(P), is k if there are ...
The varieties of tangent lines to hypersurfaces in projective spaces
varieties of tangent lines hypersurfaces projective spaces
2011/1/20
or a hypersurface in a projective space, we consider the set of pairs of a point and a line in the projective space such that the line intersects the hypersurface at the point with a fixed multiplicit...
Tangent Lines of Generalized Regular Curves Parametrized by Time Scales
Time scale delta derivative generalized regular curve tangent line
2010/3/1
In this paper a generalization of the notion of regular curve is introduced. For such curves the concept of tangent line is investigated.