query: Prove that maximal number of monomials ...
positive_passages.docid: 154487
positive_passages.text: Maximal number of monomials of multivariate polynomial
negative_passages.docid: 109470
negative_passages.text: Proof of whether a specific element is in a commutative, invertible monoid.
negative_passages.docid: 7079
negative_passages.text: ord $(b)|\max\{\text{ord}(g)|g\in G\}$ for all $b\in G\,$ a finite abelian group
negative_passages.docid: 46971
negative_passages.text: Number of surjections from $\{1,...,m\}$ to $\{1,...,n\}$
negative_passages.docid: 156395
negative_passages.text: how many terms will there be once you collect terms with equal monomials? What is the sum of all the coefficients?
negative_passages.docid: 88598
negative_passages.text: Property of $\{0^n, 1^n, \ldots\}$
negative_passages.docid: 106401
negative_passages.text: Prove: $p-mq | f(m)$ where $m$ is any integer
negative_passages.docid: 16660
negative_passages.text: Prove that any positive number has an $n$th root
negative_passages.docid: 149216
negative_passages.text: Give a combinatorial proof to show the following for all integers $n \geq 2$.
negative_passages.docid: 1409
negative_passages.text: Proving that the given set has at most $2^{n-1}$ elements
negative_passages.docid: 151544
negative_passages.text: Prove that if $B$ is the set of rationals in $[0,1]$ with a finite subcover, then: $1 \leq \sum_{k=1}^n m^*(I_k)$
negative_passages.docid: 78873
negative_passages.text: How to show that the monomials are not a Schauder basis for $C[0,1]$
negative_passages.docid: 102341
negative_passages.text: Primary decomposition of a monomial ideal
negative_passages.docid: 109576
negative_passages.text: Prove that $\binom{m+n}{m}=\sum\limits_{i=0}^m \binom{m}{i}\binom{n}{i}$
negative_passages.docid: 32772
negative_passages.text: Proving units in a ring
negative_passages.docid: 152911
negative_passages.text: Stirling numbers combinatorial proof
negative_passages.docid: 59535
negative_passages.text: Prove that there exists such a set of $n$ positive integers