 12:51 AM
The tag has been created. Keep? Remove?
0  How to show that $f(x,y)=x^4+y^4-3xy$ is coercive ? This is my attempt : $$f(x,y)=x^4+y^4-3xy$$ $$f(x,y)=x^4+y^4\left(1-\frac{3xy}{x^4+y^4}\right)$$ As $||(x,y)|| \to \infty$ , $\frac{3xy}{x^4+y^4} \to 0$ So $||(x,y)|| \to \infty$ , $f(x,y)=x^4+y^4-3xy \to \infty$. Is this a valid method ?... Coercive function
In mathematics, a coercive function is a function that "grows rapidly" at the extremes of the space on which it is defined. Depending on the context different exact definitions of this idea are in use. == Coercive vector fields == A vector field f : Rn → Rn is called coercive if f ( x ) ⋅ x ∥ x ∥ → + ∞ as ...

10 hours later… 10:41 AM

### Removal of (topology) $\to$ (general-topology) synonym

Dec 1 at 0:16, 3 days total – 109 messages, 5 users, 2 stars

Bookmarked 32 secs ago by Martin Sleziak

4  Resolved (a first step, anyway). The topology⇒general-topology tag synonym has been removed. Problem: I feel that there are quite a number of questions tagged with both general-topology AND algebraic-topology where the former is not really fitting. My understanding being that General Topolo...

1  After much delay, I have today removed the topology⇒general-topology tag synonym. This means that as of now topology is a perfectly acceptable stand-alone tag. Topology, of course, is also a wide ranging field of study, and I feel that the topology tag by itself often won't adequately narrow down...

11 hours later… 9:14 PM
0  I have noticed that there is a dice tag for dice-related probability questions, and a cards one for card-games-related ones. Many probability questions are about extracting balls from urns, under different conditions. There currently exist a polya-urn-model tag, but it is too specific. Shouldn't ...