Sentence examples for and define the map from inspiring English sources

Set and define the map given by.

Let (g(x)=xinBbb{R} ) and define the map E as (E x)=|x|).

In the map view, I just added an "if" statement to check which the present screen dimensions and define the map dimensions accordingly.

For and, define the mapping as follows: (1.12).

Let U : = E ∩ S and define the mapping m : U → M by setting m ( w ) : = t w w, where t w is as in Lemma 2.2.

and define the mapping by It is easy to see that is cyclic and It is not difficult to see that satisfies the relation (3.5) of the previous theorem for but has no best proximity point.

Put (M = { chi_{A}; A in S }), where (chi_{A}) is the indicator of a set (A in S), and define the mapping (m:M to langle 0, 1 rangle) by (m chi_{A}) = P(A)).

Put (M = { chi_{A}; A in S }), where (chi_{A}) is a characteristic function of a set (A in S), and define the mapping (m:M to langle 0, 1 rangle) by (m chi_{A}) = P(A)).

Proof Similar to the proof of Theorem 2.3, we consider the set Ω = { g : A → g | g ( 0 ) = 0 }. and define the mapping d on Ω × Ω as follows: d ( g 1, g 2 ) : = inf { c ∈ ( 0, ∞ ) : ∥ g 1 ( a ) − g 2 ( a ) ∥ ≤ c ϕ ˜ ( a ), ∀ a ∈ A }, if there exist such constant C, and d ( g 1, g 2 ) = ∞, otherwise.

We define an extensive set of elementary evolutionary events and suggest an original definition of mapping β of tree G into tree S. We introduce the cost functional c(G, S, f ) and define the mapping β as the global minimum of this functional with respect to the variable f, in which sense it is a generalization of classical mapping α.

and we define the map by (2.9).