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  • 11 votes cast
Jul
8
accepted Does being distance-preserving force affinity?
Jul
4
revised Does being distance-preserving force affinity?
edited title
Jul
4
asked Does being distance-preserving force affinity?
Dec
23
comment Does this operation result in a convex set
Sorry. I cannot see why $(1-t)a_1 + t a_2$ is a point of $X$.
Dec
23
asked Does this operation result in a convex set
Aug
24
awarded  Scholar
Aug
24
accepted interchange summation and iterated integration
Aug
24
comment interchange summation and iterated integration
Thank all, Evan, Cameron, and @T.Bongers.
Aug
24
asked interchange summation and iterated integration
Apr
21
revised circular table game
added 49 characters in body
Apr
19
comment circular table game
I don't know. In quote is the exact problem description. @Abel
Apr
19
revised circular table game
added 151 characters in body
Apr
19
asked circular table game
Feb
14
comment the segment through a fixed interior point of a compact convex set which is at least as long as its parallels
Thanks. I guess that a proof without relating to homotopy and vector field is expected. The problem is an exercise just after the concept of convexity and affinity, the Carathéodory theorem and the separation theorem are presented in the book.
Feb
10
comment the segment through a fixed interior point of a compact convex set which is at least as long as its parallels
I understand the "it suffices" part. But it is still puzzling to me how to deduce the conclusion using the theorem aforementioned. Could anyone give more details? @5PM
Feb
10
awarded  Supporter
Feb
10
awarded  Teacher
Feb
10
awarded  Editor
Feb
10
revised What does it mean when you say that the function is bounded?
added 84 characters in body
Feb
10
awarded  Student