Sentence examples for mappings if it from inspiring English sources

Suppose that S, T are two self-mappings of a multiplicative metric space ( X, d ) ; S, T are called commutative mappings if it holds that for all x ∈ X, S T x = T S x.

Suppose that S, T are two self-mappings of a multiplicative metric space ( X, d ) ; S, T are called weak commutative mappings if it holds that for all x ∈ X, d ( S T x, T S x ) ≤ d ( S x, T x ).

Second, some symptom descriptions may lead to erroneous mappings if the mapping is not constructed or reviewed by an expert clinician.

In conjunction with Theorem 4.1 this shows that the Leray Schauder boundary condition implies the existence of a fixed point for such mappings if (intleft( Kright) ne emptyset.) However in this case it is known that the convexity assumption on K is not even needed.

An element (x^in A) is said to be a best proximity point of the non-self-mapping (T : Arightarrow B) if it satisfies the following condition: dbigl(x^,Tx^bigr)=d(A,B).

Then is said to be a family of generalized -mappings (resp., -majorant mappings) if for each is a generalized -mapping (resp., -majorant mapping).

If an object is mapped by multiple tasks, the kernel maintains consistency for all the mappings if they use the same page alignment for offset and are on the same host.

A mapping T : H → H belongs to the set Φ N of nonexpansive mappings if ∥ T x − T y ∥ ≤ ∥ x − y ∥, ∀ ( x, y ) ∈ H × H.

is called a strongly continuous semigroup of Lipschitzian mappings from C into itself if it satisfies the following conditions: (i) For each s > 0, there exists a function k:(0,∞)→ 0,∞) such that ∥ T ( s ) x − T ( s ) y ∥ ≤ k ( s ) ∥ x − y ∥, ∀ x, y ∈ C. Open image in new window.

The Kermit help desk does not offer help with email programs or other non-Kermit applications, except to the extent that we can advise you choose the appropriate terminal emulation and help you set up the key mappings, if necessary.

(ii)a semigroup of mappings if for every where.