Sentence examples for map which assigns from inspiring English sources

The map which assigns to each x ∈ M the value S x + z defines a nonexpansive mapping from M into M.

Let us denote by J : D → X the map which assigns to each y ∈ D the unique point in X such that J y = F ( J y, y ).

Let us denote by τ the map which assigns to each y ∈ M the point τ ( y ) ∈ M such that ( I − S ) τ ( y ) = T y.

Proof Let us denote by J : A ( D ) → X the map which assigns to each y ∈ A ( D ) the unique point in X such that J y = F ( J y, y ).

At first, by (varphi colon X multimap Y ), we shall denote a multivalued map, i.e. a map which assigns to every point (x in X) a nonempty set (varphi(x) subset Y).

Let us denote by τ : M → E the map which assigns to each y ∈ M the unique point in M such that τ ( y ) = S τ ( y ) + T y.

and denote by T a solution mapping which assigns to each ( q, λ ) ∈ Q × [ 0, 1 ] the set of solutions of P ( q, λ ).

Now, let us denote by (J A(M rightarrow X) the mapping which assigns each (yin A(M)) to the unique point in X such that (Jy=F Jy,y)).

Let us denote by (J A(M rightarrow X) the mapping which assigns each (yin A(M)) to the unique point in X such that (Jy=F Jy,y)).

For all q ∈ Q and λ ∈ [ 0, 1 ], consider still the associated fully linearized problem P m ( q, λ ) x ¨ ( t ) ∈ H m ( t, q ( t ), q ˙ ( t ), λ ), for a.a. t ∈ [ 0, T ], x ( T ) = x ( 0 ) = 0, }. and denote by T m the solution mapping which assigns to each ( q, λ ) ∈ Q × [ 0, 1 ] the set of solutions of P m ( q, λ ).

Finally, we compared the density of trichomes in wings expressing Trbl, Yellow, and Pten RNAi by using the heatmap trichomes function, which assign a heat map color to the small area subtended by adjacent trichomes.