Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with real-analysis
Search options not deleted
user 4213
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
35
votes
Can Cantor set be the zero set of a continuous function?
It is a standard result that each closed subset of $\mathbb{R}^n$
is a zero set of some smooth function on $\mathbb{R}^n$.
One proves this using smooth bump functions and partitions of unity.
- 20.8k
44
votes
Accepted
6
votes
Accepted
Inf of a mutivariate function
This is discussed briefly as a generalization of Shapiro's cyclic sum
inequality by J. Michael Steele in his book
The Cauchy-Schwarz Master Class.
He remarks that (1.) holds for $n\ge25$ and refers to …
- 20.8k
4
votes
Accepted
A Jordan arc in the unit disk
It's certainly the case that $\mathbb{R}^2\setminus J$ is path connected.
So any two points in $D\setminus J$ are joined by a path in $\mathbb{R}^2$
missing $J$. If this path isn't in $D$ it hits the …
- 20.8k