MGM-British Studios Meanwhile, Amalgamated Studios Ltd constructed a large studio on the north side of Elstree Way between 1935 and 1937. A January 1937 deal for eight films to be made for the American studio Columbia Pictures soon collapsed. The company was unable to meet the cost of building work, and sold the facility to the Rank Organisation, which was not interested in using the studios itself, but wanted to stop John Maxwell's rival British International Pictures (BIP) from being able to compete more effectively with its own new Pinewood Studios. During the war, the studios were leased from Rank by the
Tensor rank decomposition formula_23 form a dense set formula_28: every tensor in the aforementioned space is either of rank less than the generic rank, or it is the limit in the Euclidean topology of a sequence of tensors from formula_28. In the case of real tensors, the set of tensors of rank at most formula_23 only forms an open set of positive measure in the Euclidean topology. There may exist Euclidean-open sets of tensors of rank strictly higher than the generic rank. All ranks appearing on open sets in the Euclidean topology are called typical ranks. The smallest typical rank is called the