Sentence examples for derived for the first from inspiring English sources
Most of the models reported (65%), were derived for the first time (derivation models) while in 35% the models reported were validating pre-existing models (validation models).
On the other hand, period estimates of long-term survival cannot be derived for the first years after initiation of cancer registration, as their derivation requires that the database includes patients who have been under long-term observation in the period of interest.
To our knowledge, this form is now derived for the first time.
The equations for slumping and confined toppling are derived for the first time.
Optimal state feedback laws for the singular region of operation are derived for the first time.
The ML for Hermitian PCM was derived for the first time by Nitzberg in his paper [28].
Finite difference operators approximating second derivatives and satisfying a summation by parts rule have been derived for the fourth, sixth and eighth order case by using the symbolic mathematics software Maple.
Using the chain rule of differentiation, an explicit expression of gradient in terms of system's Jacobian matrices has been derived for the first-order optimal condition of a constrained optimization problem.
A time stable discretization is derived for the second-order wave equation with discontinuous coefficients.
High order finite difference approximations are derived for the second order wave equation with discontinuous coefficients, on rectangular geometries.
By using graph theory and the tools of stochastic analysis, sufficient conditions of mean square containment control problems are derived for the second-order multi-agent systems.
