Sentence examples for and be a partition of from inspiring English sources
Let the ordered sets and be a partition of the tensors, where.
where is closed, are all closed and open, and is a partition of For each write (2.18).
where is closed, is closed and open for each and is a partition of Define a map by (2.30).
where is the zero point set of and is a partition of into at most countably many semiclosed polar rectangles such that is univalent on each.
The outputs of the gating networks are scalar values and are a partition of unity at each point in the input space, i.e. a probability set.
Let G= V, E) be a simple connected graph with n vertices and m edges (| V|= n, | E|= m) and P be a partition of V into p classes: P={ V1, V2,.. V p }. Let e ij be the percentage of edges having one end in class V i and the other in class V j : e ij =| E∩(V i × V j )|/ m.
Let P be a SFAP, and let (H_{i}) be a partition of S as in (7).
Let ε be a small positive constant to be determined later, and let ((varphi_{k} )_{k=1}^{m}) be a partition of unity on Ω̅ with (operatorname{diam} (operatorname{supp} varphi_{k} )leq r) for each k, where (operatorname{diam} (operatorname{supp} varphi_{k} )) is the diameter of the domain (operatorname{supp} varphi_{k}).
Let ℋ ∈ C I 1 × … × I P be a P th-order tensor, A 1, …, A L be a partition of, and D ∈ C I A l × I A l be a square matrix.
For instance (Smith 1998, pp. 181 2), (Chaos\(_{te})\) A discrete map is chaotic just in case it exhibits topological entropy: Let \(f\) be a discrete map and \(\{W_{i}\}\) be a partition of a bounded region \(W\) containing a probability measure which is invariant under \(f\).
