query: Why are systems joined via a tensor product?
positive_passages.docid: 155176
positive_passages.text: Tensor product vs. Cartesian Product for composite quantum systems
negative_passages.docid: 62123
negative_passages.text: Proving that Tensor Product is Associative
negative_passages.docid: 158343
negative_passages.text: how to prove an element is non-zero in a tensor-product
negative_passages.docid: 143923
negative_passages.text: Why can the cross product of two vectors be calculated as the determinant of a matrix?
negative_passages.docid: 102665
negative_passages.text: Why the sudden fascination with tensors?
negative_passages.docid: 31729
negative_passages.text: Tensor products of simple modules over algebras
negative_passages.docid: 114271
negative_passages.text: Why is a matrix invertible if it can be written as the product of elementary matrices?
negative_passages.docid: 127915
negative_passages.text: What is the physical meaning of a dot product and a cross product of vectors?
negative_passages.docid: 103087
negative_passages.text: What is the duality relationship between eigensystems of X X' vs X' X?
negative_passages.docid: 4240
negative_passages.text: The proof of Triple Vector Products
negative_passages.docid: 57318
negative_passages.text: Property of the conjugate transpose matrix with inner product
negative_passages.docid: 121389
negative_passages.text: Why is quantum mechancis is not content with symmetric operators, but wants self-adjoint operators?
negative_passages.docid: 66546
negative_passages.text: Tensor product of reduced $k$-algebras must be reduced?
negative_passages.docid: 59273
negative_passages.text: Cartesian product of embeddings is embedding
negative_passages.docid: 114510
negative_passages.text: Inner Product Spaces
negative_passages.docid: 122623
negative_passages.text: Geometric intuition for the tensor product of vector spaces
negative_passages.docid: 22424
negative_passages.text: Has this "generalized semidirect product" been studied?