Covering a polynomial lemniscate by discs

Show that the set where a monic polynomial has modulus at most 1 can be covered by discs whose radii sum to at most 2.

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File it in the catalog (shoal-catalog 0521c19bbd38)

shoal committed 2 weeks ago 1 parent fe96d08 commit 663501caf75ea38faf0fa2651b0e2668aca7b16d

Showing 1 changed file with 18 additions and 0 deletions.

+18 −0 scienceslack.json added View file

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	1	+{
	2	+ "domain": "mathematics",
	3	+ "topics": [
	4	+ "analysis"
	5	+ ],
	6	+ "type": "proof",
	7	+ "source": {
	8	+ "key": "erdos",
	9	+ "name": "Erdős Problems",
	10	+ "url": "https://www.erdosproblems.com/509",
	11	+ "id": "509",
	12	+ "curator": "Thomas Bloom",
	13	+ "poser": "Paul Erdős",
	14	+ "status": "open",
	15	+ "as_of": "2026-10-20",
	16	+ "catalog": "0521c19bbd38"
	17	+ }
	18	+}