منابع مشابه
Numerical Aspects of Evolution of Plane Curves Satisfying the Fourth Order Geometric Equation
In this review paper we present a stable Lagrangian numerical method for computing plane curves evolution driven by the fourth order geometric equation. The numerical scheme and computational examples are presented.
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We consider high order representations of curves in the plane. Through a series of complementary numerical examples, we show that classical interpolation is sometimes far from optimal in the sense of minimizing the interpolation error using a fixed number of degrees-of-freedom (the Kolmogorov n-width problem). We propose a new way of constructing a high order interpolant of a curve in the plane...
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Using the Semple bundle construction of [5] and [6], we derive an intersectiontheoretic formula for the number of simultaneous contacts of specified orders between members of a generic family of degree d plane curves and finitely many fixed curves. The contacts counted by the formula occur at nonsingular points of both the members of the family and the fixed curves.
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The m-order connectivity index (G) m of a graph G is 1 2 1 1 2 1 ... ... 1 ( ) i i im m v v v i i i m d d d G where 1 2 1 ... i i im d d d runs over all paths of length m in G and i d denotes the degree of vertex i v . Also, 1 2 1 1 2 1 ... ... 1 ( ) i i im m v v v i i i ms d d d X G is its m-sum connectivity index. A dendrimer is an artificially manufactured or synth...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 1920
ISSN: 0002-9327
DOI: 10.2307/2370318