Every three noncollinear $x, y, z\in S,\exists! p\in S:\overline{xp}\text{ , }\overline{yp}\text{ , }\overline{zp} \in S \Longrightarrow| \ker(S) |=1$

score 49 · Answer 6 · 2026-03-28 15:21:31

49

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score 34 · Answer 7 · 2024-02-01 06:37:18

34

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score 31 · Answer 8 · 2024-02-01 22:31:56

Can we find a line L and a closed convex set S such that $L \cap S = \varnothing$, but each plane containing L intersects S

score 54 · Answer 9 · 2026-03-26 22:19:34

54

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score 26 · Answer 10 · 2026-03-27 00:04:03

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score 71 · Answer 11 · 2026-03-26 22:17:20

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score 72 · Answer 12 · 2024-02-03 16:45:50

72

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score 32 · Answer 13 · 2024-02-06 12:37:59

32

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How many sets possible on a plane Venn diagram (using a convex shape for each of the participating sets)

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score 40 · Answer 14 · 2026-03-25 14:36:41

40

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If a convex cone K and a linear subspace L are such that $K\cap L=\{0\}$, is it true that the intersection of their polars has a non-zero vector?

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score 50 · Answer 15 · 2026-03-25 20:08:04

50

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Verify proof: absolutely continuous function convex if gradient monotone wherever it exists

Published on 25 Mar 2026 - 20:08

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