Arithmetic Discrete Parabolas
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چکیده
In the present paper, we propose a new definition of discrete parabolas, the so-called arithmetic discrete parabolas. We base our approach on a non-constant thickness function and characterized the 0connected and 1-connected parabolas in terms of thickness function. This results extend the well-known characterization of the κ-connectedness of arithmetic discrete lines, depending on the norm ‖ · ‖∞ and ‖ · ‖1 of their normal vector.
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تاریخ انتشار 2006