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 Yearling
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Jan
10
awarded  Yearling
Oct
3
accepted Prove that no tangent in a convex shape crosses the interior
Oct
3
comment Prove that no tangent in a convex shape crosses the interior
Your last comment finally made it click. I'm accepting the answer.
Oct
3
comment Prove that no tangent in a convex shape crosses the interior
Hmm... I'm starting to see problems with my question since a tangent line doesn't make sense for polygons. I assume my convex shape to be "smooth" and then a tangent to be a line that passes through a point on the edge of the shape such that there exists some small area around that point in which that point is the only intersection between the shape and the line.
Oct
3
comment Prove that no tangent in a convex shape crosses the interior
I'm still having trouble understanding your argument. If I understand correctly you construct a quadrilateral from the two points on either side of $S$ and the endpoints of $S$. I understand why this shape must be contained in the original set. But how does that extend so the fact that the extension $L$ of $S$ is not a tangent?
Oct
3
revised Prove that no tangent in a convex shape crosses the interior
added 8 characters in body
Oct
3
comment Prove that no tangent in a convex shape crosses the interior
This isn't really clear to me. What does "on either side" mean when talking about a line segment? Why is the convex hull a subset of the set? Why does that mean that s can't be a tangent? I've also edited the question as you suggested.
Oct
3
asked Prove that no tangent in a convex shape crosses the interior
Aug
3
accepted Line segment equation in polar coordinates
Aug
3
comment Line segment equation in polar coordinates
Yes! Thanks for answering!
Aug
3
comment Line segment equation in polar coordinates
That extremely neat. I am having trouble seeing how the formula for r is derived.
Aug
3
comment Line segment equation in polar coordinates
S is given, and yes, $r$ and $\phi$ are relative to it.
Aug
3
comment Line segment equation in polar coordinates
S is supposed to be the relative origin of the polar coordinates.
Aug
2
asked Line segment equation in polar coordinates
Jul
24
comment Sum of an infinite series $(1 - \frac 12) + (\frac 12 - \frac 13) + \cdots$ - not geometric series?
Awesome TeXing!
Jun
29
accepted What's happening at $a=-1$ in $\int x^a dx$?
Jun
29
asked What's happening at $a=-1$ in $\int x^a dx$?
Jun
27
awarded  Popular Question
Jun
21
comment Prove that the limit of $p$-th root of the integral of the $p$-th power of a function is it's supremum
@Chappers Wow... A definite duplicate. Sorry :(
Jun
21
asked Prove that the limit of $p$-th root of the integral of the $p$-th power of a function is it's supremum