Sentence examples for form of the operator from inspiring English sources

This function controls the offset increment for the partial form of the operator in the time-midpoint-offset domain.

We may express inequality (1) by using the form of the operator as follows.

Inequality (20) may be expressed in the form of the operator as follows.

The boundary-value problem (1.1), (1.2) can be presented in the form of the operator equation, where,.

We only need the first-order differentiability in t, benefiting from the form of the operator (-frac{partial }{partial t}+L).

Note that this form of the operator includes, but is not restricted to, both the magnetic and non-magnetic Schrödinger operators.

The algorithm for solving the non-linear optimization problem, which takes advantage of the form of the operators being optimized, reduces the overall simulation time by several orders of magnitude.

As a point of discussion, another form of the operators than the King type can be studied and can be compared with these operators.

Indeed, for a smooth hyperplane section (W = H cap X) of a projective variety X, the cup product with the hyperplane class (h in H^2 X, {mathbb {Z}})) corresponds at the level of forms to the operator L given by wedge product with (xi ), the first Chern form of ({mathcal {O}}_X(H)).

Equalities (iii) mean that R λ is the resolvent operator for all λ ∈ C ∖ Spec ( H ). Hence equality (iv) follows from the form of the resolvent operator in ([7], Lemma 2.25).

(iv) Equalities (iii) mean that R λ is the resolvent operator for all λ ∈ C ∖ Spec ( H ). Hence equality (iv) follows from the form of the resolvent operator in ([7], Lemma 2.25).