Sentence examples for be a cyclic representation from inspiring English sources

In this case, (left{ {,A_{i} } right}_{{i in bar{p}}}) is said to be a cyclic representation of (left( {X,T} right)).

Let (( X,d ) ) be a metric space, (f:Xrightarrow X) be a mapping and let (X=bigcup _{i=1}^{p}A_{i} ) be a cyclic representation of X w.r.t.

X = ∪ i = 1 m A i is said to be a cyclic representation of X with respect to T if (i) A i, i = 1, 2,..., m are nonempty sets.

Let ((X,d)) be a complete metric space, and let (Y=bigcup_{i=1}^{p}A_{i}) be a cyclic representation of (Ysubseteq X) with respect to a mapping (T Yto Y), where the sets (A_{i}) are closed.

Let ((X,d)) be a metric space, (T:Xrightarrow X) be a mapping and let (X=bigcup_{i=1}^{p}A_{i}) be a cyclic representation of X w.r.t.

Recall that (Y=bigcup_{i=1}^{p}A_{i}) is said to be a cyclic representation of Y with respect to a mapping (T Yto Y) if T(A_{1})subset A_{2},qquad ldots,qquad T(A_{p-1})subset A_{p},qquad T(A_{p})subset A_{1}.

X = A ∪ B is a cyclic representation of X w.r.t.

⋃ i = 1 m A i is a cyclic representation of Y with respect to f.

If: (i) (bigcup _{i=1}^{m}A_{i}) is a cyclic representation of Y w.r.t.

It is clear that X = A ∪ B is a cyclic representation of X with respect to f.

By definition, X = ⋃ i = 1 m X i is a cyclic representation of X with respect to f if.