query: Intersection and Sum of Subspaces
positive_passages.docid: 139988
positive_passages.text: Counter example for a result of intersection of subspaces
negative_passages.docid: 74465
negative_passages.text: One-dimensional vector space and it's subspaces
negative_passages.docid: 48579
negative_passages.text: How to find the orthogonal complement of a subspace?
negative_passages.docid: 59644
negative_passages.text: Proof of Cartesian product intersection
negative_passages.docid: 18373
negative_passages.text: Can infinite-dimensional vector spaces be decomposed into direct sum of its subspaces?
negative_passages.docid: 6547
negative_passages.text: Given $3$-dimensional subspaces $V, W \subset \Bbb R^5$, there is a nonzero vector in $V \cap W$
negative_passages.docid: 100749
negative_passages.text: How to find bases for a subspace defined by an equation
negative_passages.docid: 76160
negative_passages.text: Dimension of the sum of two vector subspaces
negative_passages.docid: 136108
negative_passages.text: Arbitrary intersection of closed, connected subsets of a compact space connected?
negative_passages.docid: 19946
negative_passages.text: Let $W$ be a given subspace of $V$ find the orthogonal complement $W^{\perp}$
negative_passages.docid: 130156
negative_passages.text: Image of the union and intersection of sets.
negative_passages.docid: 135814
negative_passages.text: Prove certain subsets of $\mathbb R^n$ are subspaces
negative_passages.docid: 152921
negative_passages.text: Proving that Unit Intersection is NP-complete
negative_passages.docid: 94929
negative_passages.text: Proof that the all bases of a subspace V consist of the same number of vectors?
negative_passages.docid: 23225
negative_passages.text: Union of connected subsets is connected if intersection is nonempty
negative_passages.docid: 132085
negative_passages.text: Minkowski sum and product of 2D-regions
negative_passages.docid: 106756
negative_passages.text: Union and Intersection of Sets $A_{i}$ and $B_{j}$