query: Basis for Polynomial Space
positive_passages.docid: 95513
positive_passages.text: Proving $W$ is a subspace of $P_{2}$
negative_passages.docid: 112939
negative_passages.text: Find a basis for the subspace of $\mathbb{R}^4$ spanned by the given vectors.
negative_passages.docid: 148101
negative_passages.text: Basis for $\mathbb{Z}^2$
negative_passages.docid: 112205
negative_passages.text: Which of the following polynomials are subspaces of $\mathbb{P}_n$ for an appropriate value of n?
negative_passages.docid: 14550
negative_passages.text: Every Hilbert space has an orthonomal basis - using Zorn's Lemma
negative_passages.docid: 70475
negative_passages.text: Proving a basis for inner product space V when $||e_j-v_j||< \frac{1}{\sqrt{n}}$.
negative_passages.docid: 145191
negative_passages.text: Content of a polynomial
negative_passages.docid: 129810
negative_passages.text: What kind of vector spaces have exactly one basis?
negative_passages.docid: 137769
negative_passages.text: How to find a basis for a subspace?
negative_passages.docid: 128941
negative_passages.text: How to compute the topological space of fibered product of schemes?
negative_passages.docid: 78648
negative_passages.text: Find an orthonormal basis for the subspace of $\mathbb R^4$
negative_passages.docid: 151467
negative_passages.text: An infinite generating set of a finite dimensional vector space contains a basis
negative_passages.docid: 65661
negative_passages.text: Decomposition of a homogeneous polynomial
negative_passages.docid: 86246
negative_passages.text: Basis for Skew Symmetric Matrix
negative_passages.docid: 78833
negative_passages.text: Can a basis for a vector space $V$ can be restricted to a basis for any subspace $W$?
negative_passages.docid: 61539
negative_passages.text: proof for a basis in $L^2$
negative_passages.docid: 138631
negative_passages.text: Overlapping Polynomials