Enhanced PDF - Project Euclid
... Relating the sparse case to the nonsparse case in the above theorem is quite useful, since many results are known for random matrices with nonsparse i.i.d. entries, including a number of results in [34]. One of the motivating consequences of Theorem 1.5 is the following result, which is a combinatio ...
... Relating the sparse case to the nonsparse case in the above theorem is quite useful, since many results are known for random matrices with nonsparse i.i.d. entries, including a number of results in [34]. One of the motivating consequences of Theorem 1.5 is the following result, which is a combinatio ...
Linear Algebra Notes
... 29 Theorem Let S 6= ∅ be a set. Any equivalence relation on S induces a partition of S. Conversely, given a partition of S into disjoint, non-empty subsets, we can define an equivalence relation on S whose equivalence classes are precisely these subsets. ...
... 29 Theorem Let S 6= ∅ be a set. Any equivalence relation on S induces a partition of S. Conversely, given a partition of S into disjoint, non-empty subsets, we can define an equivalence relation on S whose equivalence classes are precisely these subsets. ...