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 |
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
2
votes
0
answers
114
views
Least positive value of a random polynomial
For $d=2$ the following easy argument shows that the probability, if it exists, is strictly positive: consider the set of polynomials $$ \{f=c_2x^2+c_1x+c_0:0\leq c_1<1/2<c_0,c_2\leq 1 \}$$ that has positive … Each such polynomial has minimum value $$ \frac{-c_1^2+4c_0c_2}{4c_2}\geq \frac{-1/4+1}{4}=\frac{3}{16}>0.$$
Question 2: Now let us focus on the polynomials that only take non-negative values. …