Sentence examples for procedures as in from inspiring English sources

He distinguished two ways of solving a mathematical problem (and two corresponding types of mathematicians): an "investigation based on numbers," an inductive approach that involves scrutinizing and manipulating data until one finds a general law; and an "investigation based on principle," a reasoned approach that involves directly utilizing rules and procedures, as in algebra.

The r-mode subspace estimates can be updated via exactly the same procedures as in the matrix-based subspace tracking scheme.

Similar procedures as in the homogeneous model were followed to place the barrier fracture after the breakthrough of water and initialize using the "restart" files.

The AAM with the pore size of about 60 nm was prepared using the same procedures as in our previous reports [20 23, 25, 32 34].

Contrary to popular belief, most of the AEs in our study occurred during elective procedures, as in the multicenter SEE 2 study [24].

The investigation of approximate solutions of the concerned integral geometry problems is beyond the scope of this paper, but similar procedures as in [26] can be carried out by using the Galerkin method or the finite difference method.

The state police, with a popular new superintendent, has instituted such procedures as in-car cameras to monitor troopers' behavior and discourage improper conduct.

(4) Down-slice segmentation procedure as in step (3).

The current study uses the leave-one-out strategy in the training procedure, as in [18].

Using the same procedure as in the proof of (1), we can prove (2).

Proposition 4 can be proved by the same procedure as in Theorem 1.2.1 of [13].