Sentence examples for be the linear operator from inspiring English sources

Let be the linear operator defined by.

(3.29) Let (E_{2}) be the linear operator defined in Lemma 2.3.

Lemma 2.5 Let L be the linear operator defined as above.

Let (e_{hp}=y(U_{hp} -Y_{hp}) and (E_{1}) be the linear operator defined in Lemma 2.3.

Let (r_{hp}=p(U_{hp} -P_{hp}) and (E_{1}) be the linear operator defined in Lemma 2.3.

Let (T t,s)) be the linear operator satisfying (x t)=T t,s x s)) for any solution of (1) and each (t,sgeq0).

Let f ∈ A and Γ i : A → A for each i ∈ { 0, 1, 2, 3 } be the linear operators defined as.

Let for m, n ∈ Z the basic discretizers be the linear operators, stemming from X, R, L with compact domains in L 2 related to the scalar product (28): (35).

Associated with is the linear operator defined by.

To apply Elias's theory, we have to prove that (1.4) can be rewritten to the form of (1.6), that is, the linear operator (1.8).

To apply Elias's theory, we have to prove that (1.8) can be rewritten to the form of (1.10), that is, the linear operator L [ x ] : = x ′ ′ ′ ′ + k x ′ ′ + l x (1.12).