query: Mutually un-biased bases
positive_passages.docid: 16250
positive_passages.text: If $B_1,B_2$ and $B_2,B_3$ are MUBs, can we conclude that either $B_1,B_3$ are MUBs, or they have equivalent Hadamard matrices?
negative_passages.docid: 95928
negative_passages.text: Independence and orthogonality
negative_passages.docid: 158103
negative_passages.text: Computing the UMVUE for Uniform$(0,\theta)$
negative_passages.docid: 84609
negative_passages.text: Unary intersection of the empty set
negative_passages.docid: 14550
negative_passages.text: Every Hilbert space has an orthonomal basis - using Zorn's Lemma
negative_passages.docid: 39957
negative_passages.text: Product of binomial coefficient as a basis
negative_passages.docid: 146664
negative_passages.text: The union of two linearly independent subsets
negative_passages.docid: 15417
negative_passages.text: Tricky problem on skew-symmetric matrices
negative_passages.docid: 60063
negative_passages.text: Independence between random vectors
negative_passages.docid: 94058
negative_passages.text: Applying the Berry-Esseen theorem to non-identically distributed summands
negative_passages.docid: 124973
negative_passages.text: Discrete Uncorrelated Dependent Random Variables
negative_passages.docid: 66500
negative_passages.text: Proving that orthogonal vectors are linearly independent
negative_passages.docid: 38412
negative_passages.text: Basis for tensor products
negative_passages.docid: 8557
negative_passages.text: Invertible Matrices are dense
negative_passages.docid: 21366
negative_passages.text: Help on the relationship of a basis and a dual basis
negative_passages.docid: 90215
negative_passages.text: Proof/Derivation of Residual Sum of Squares (Based on Introduction to Statistical Learning)
negative_passages.docid: 139087
negative_passages.text: polar decomposition of a square A when A is not full rank/invertible