query: Lower Bound on R(k,k)
positive_passages.docid: 154038
positive_passages.text: A constructive lower bound on Ramsey numbers
negative_passages.docid: 106815
negative_passages.text: Better bound for integral inequality
negative_passages.docid: 144382
negative_passages.text: Proving $\lVert x \rVert_3$ is smaller than euclidean norm
negative_passages.docid: 146204
negative_passages.text: Subsets sharing at most $i$ elements
negative_passages.docid: 74498
negative_passages.text: Smallest dense subset of $\mathbb{R}$
negative_passages.docid: 95378
negative_passages.text: Known bounds for the number of groups of a given order.
negative_passages.docid: 44817
negative_passages.text: Lower bound on energy is potential minimum
negative_passages.docid: 28658
negative_passages.text: $R$ with an upper bound for degrees of irreducibles in $R[x]$
negative_passages.docid: 146102
negative_passages.text: Nearest Kronecker Product
negative_passages.docid: 155999
negative_passages.text: How to prove the following properties of infimum and supremum involving the union and intersection of the sets $A_k$
negative_passages.docid: 59563
negative_passages.text: Finite $k$th moment for a random vector
negative_passages.docid: 10585
negative_passages.text: Does a polynomial that's bounded below have a global minimum?
negative_passages.docid: 64239
negative_passages.text: Upper Bound for $p(1-p) $ where $0 \le p \le 1$
negative_passages.docid: 108606
negative_passages.text: Applying a lower bound threshold on a list
negative_passages.docid: 45405
negative_passages.text: An elementary way to show any bounded subset of $\Bbb{R}^k$ is totally bounded
negative_passages.docid: 86518
negative_passages.text: Does $X$ have a lower bound?
negative_passages.docid: 46550
negative_passages.text: Proving an 'obvious' Ramsey upperbound