query: Proving the algebraic set corresponding to a polynomial is infinite.
positive_passages.docid: 148910
positive_passages.text: Multivariate polynomials have infinitely many zeroes
negative_passages.docid: 6484
negative_passages.text: Polynomials in one variable with infinitely many roots.
negative_passages.docid: 61428
negative_passages.text: Show that an algebraically closed field must be infinite.
negative_passages.docid: 43268
negative_passages.text: How to prove that the set of rational numbers are countable?
negative_passages.docid: 4912
negative_passages.text: Show that an infinite set $C$ is equipotent to its cartesian product $C\times C$
negative_passages.docid: 155575
negative_passages.text: Proving a polynomial $f(x)$ composite for infinitely many $x$
negative_passages.docid: 6478
negative_passages.text: Prove that for any infinite poset there is an infinite subset which is either linearly ordered or antichain.
negative_passages.docid: 156034
negative_passages.text: sufficient condition for a polynomial to have roots in $[0,1]$
negative_passages.docid: 111338
negative_passages.text: Affine variety over a field which is not algebraically closed can be written as the zero set of a single polynomial
negative_passages.docid: 762
negative_passages.text: Proving every infinite set $S$ contains a denumerable subset
negative_passages.docid: 79359
negative_passages.text: Show that $f$ is a polynomial if it's the uniform limit of polynomais
negative_passages.docid: 44974
negative_passages.text: Infinite set and countable subsets
negative_passages.docid: 2527
negative_passages.text: Entire function bounded by a polynomial is a polynomial
negative_passages.docid: 102113
negative_passages.text: Proof that the number of proofs is countably infinite
negative_passages.docid: 134071
negative_passages.text: If A is a finite set and B is an infinite set, then B\A is an infinite set
negative_passages.docid: 156195
negative_passages.text: 1) Show that $(\Bbb Z[\sqrt2]^*, .)$ is infinite.
negative_passages.docid: 82204
negative_passages.text: Prove $ \lim_{n\to\infty}\sqrt[n]{p(n)}=1 $ for polynomial