Sentence examples for follows applying from inspiring English sources

Some major results are as follows, Applying calculus of variation on the optimization problem contributes to a specific profile for the first mode shape as the optimality condition.

Remark 5 Observe that the proof of Theorem 4 follows applying similar arguments to those given in the proof of Kleen's theorem or Tarski-Kantorovitch's theorem for mappings defined from ω-chain-complete ordered sets into itself (see [42, 43] for more details).

The first implication in (C9) is a consequence of (69) while the second follows applying Theorem 12 with α = 0. Indeed, assuming that | μ | ( B ϱ ) ≲ ϱ n - 1 implies that M 1 is locally bounded, and therefore so is M 0, R # ( D u ) ≡ M R # ( D u ).

We wanted to investigate this situation with a simple, direct experiment as follows: applying a spin echo-based T1-weighted imaging that is fully compliant with the Hahn spin echo condition to macromolecule free tissue pairs with single and multislice options to test potential contrast loss as the refocusing angles are lowered, and a high field MR system is employed.

But it is worth remembering that, in many NGOs, much of what follows applies not only to healthcare provision, but to working hours, overtime, days off, notice periods, termination requirements … the list goes on.

Some of what follows applies particularly to straight young men, because I'm pulling it from my own experience, but I think the principles behind it are pretty universal.

What follows applies only to your taxable accounts.

The surface morphology of virgin and laser-processed films are followed applying electron optical imaging and atomic force microscopy.

Standard operating procedures of the manufacturer were followed, applying all required buffers and solutions in the form provided by the manufacturerh.

Standard operating procedures of the manufacturer were followed, applying all required buffers and solutions in the form provided by the manufacturer (R&D Systems, Minneapolis, MN, USA).

(My own desk, a roll-top with a mind of its own, thinks that that copy desk should close up overused, change which to that and move the only to follow apply").