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Results tagged with reference-request
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user 15506
This tag is used if a reference is needed in a paper or textbook on a specific result.
4
votes
Accepted
Level of a commutative ring and its quotient field
Concerning question 1, such examples have been found independently by David Leep (unpublished) and J. K. Arason and R. Baeza:
Arason, J. K.; Baeza, R. On the level of principal ideal domains. Arch. M …
5
votes
Accepted
Application of polynomials with non-negative coefficients
One answer to question 2 is Polya's theorem on forms positive on an orthant: Let a form (i.e. homogeneous polynomial) in several variables be given which is (strictly) positive whenever evaluated on n …
8
votes
Accepted
Quadratic Farkas' Lemma?
Here is a counterexample: Take $n=2$ variables $X$ and $Y$. Let $L_1,\dots,L_5$ be linear polynomials such that
$$S:=\{ (x, y) \in {\mathbb R}^2 ~|~ L_i(x,y) \ge 0\}$$ is a pentagon inscribed in the …
3
votes
Accepted
does anyone have a copy of schmid's effective work on hilbert 17th?
Here is a copy:
http://math.usask.ca/fvk/schmid.ps