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Results tagged with real-analysis
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user 6153
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
3
votes
Accepted
Ratio of eventually close sequences
If the sequences are bounded, and the b's are bounded away from 0, there is a simple proof by the triangle equality. If the a's are both 1/n, and the b's are 1/n and -1/n, this clearly fails.
Edit: …
- 12.6k
7
votes
Looking for an interesting problem/riddle involving triple integrals.
Coffee mug problem: the volume of the part of a cylinder cut off by a plane, representing the volume of the coffee you have left when you first see the bottom of the mug. (Plane is horizontal, cylinde …
- 12.6k
3
votes
On \ell_3 norm in R^2
So this asks for the general line L in the plane whether the minimum of the three-norm occurs at the point v obtained by dropping a perpendicular from 0 to L. Not true. Geometrically the tangents to t …
- 12.6k
9
votes
Is square of Delta function defined somewhere?
There are whole theories in microlocal analysis that deal with the issues here, I believe. Some heuristics are that the "singular support" of a distribution controls what it can be multiplied by in a …
- 12.6k