Topology of Numbers · Problem 5.1.4

Classification of Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · topograph-minimum-h

Problem

Show that the minimum value of ∣h∣|h| for all the edges in the border of a given region in the topograph of an elliptic or hyperbolic form occurs at an edge having an endpoint that achieves the minimum distance to the separator line or source vertex or edge of all vertices in the border of the given region.

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