Sentence examples for be a bijective mapping from inspiring English sources

Let ((X,preceq)) be a partially ordered set and (F: Xto X) be a bijective mapping.

Theorem 14 Let ( X, d ) be a complete metric space and let F : X → X be a bijective mapping.

Let T : X → X be a bijective mapping such that T − 1 is a non-decreasing mapping with respect to ⪯ satisfying the following condition for all x, y ∈ X with x ⪰ y : ξ ( d ( T x, T y ) ) ≥ a d ( x, y ) + b d ( x, T x ) + c d ( y, T y ), (16).

Let T : X → X be a bijective mapping such that T − 1 be a non-decreasing mapping with respect to ⪯ satisfying the following condition for all x, y ∈ X with x ⪰ y : ξ ( d ( T x, T y ) ) ≥ d ( x, y ), (17).

Let T : X → X be a bijective mapping such that T − 1 is a non-decreasing mapping with respect to ⪯ satisfying the following condition for all x, y ∈ X with x ⪰ y : d ( T x, T y ) ≥ k d ( x, y ), (18).

Let T : X → X be a bijective mapping such that T − 1 is a non-decreasing mapping with respect to ⪯ satisfying the following condition for all x, y ∈ X with x ⪰ y : ξ ( d ( T x, T y ) ) ≥ m ( x, y ), (14).

Corollary 2.5 Let ( X, d ) be a complete metric space and T : X → X be a bijective map.

We show that there is a bijective mapping between the proposed state-space representation and the augmented state-space.

We say that two G-designs (Vi,Bi), i= 1,2, are exactly embedded into (X,D) if X= V1∪V2, |V1∩V2|="0 and there is a bijective mapping f:B1∪B2→D such that B is a subgraph of f(B), for every B∈B1∪B2.

There exists a constant such that for all real and, (2.8). is a bijective mapping.

A labeling function σ : V → {1, ⋯, n} is a bijective map from the vertices of a colored multigraph to an ordered list labels with a cardinality equal to the number of vertices.