Sentence examples for key result for from inspiring English sources

This is a key result for the decomposition of the MSE into variance and bias terms.

For large t and n ∼ t, we then found that the asymptotic limit giving the key result for the penetration n w of the wavefront into the crystal, at time t, as n w ∼ v p t, v p = ( ∑ k f k A k ) − 1, (3.27).

The description above is one of the key results for the interpretation of the electrical C-AFM data.

The paper derives the key results for high-order and non-minimum phase processes and also demonstrates the flexibility and potential industrial utility of the proposal.

We also report key results for the largest possible samples of MSAs/PMSAs within these MSAs/CMSAs, on the argument that these give us the most reliable estimates for each outcome.

The data extraction was completed using a standardised reporting system and a range of items coded (e.g., information about the study sample, intervention and control group and the key results for our outcome measures).

One exception is the trial that has been performed specifically in late-life mania, but the key results for which are yet to be published (Young et al. 2010).

To conclude we emphasize that the precise definition of almost (or local-almost) periodic functions on time scales occupies a fundamental position in establishing some key results for dynamical systems on time scales.

Key results for the range of parameters explored here are: (1) Flow pattern and temperature distribution in stratigraphic units with homogeneous permeability are similar to those in units with the same average permeability in a heterogeneous distribution.

In this review, by summarizing key results for the HER on well-characterized electrochemical interfaces in acidic and alkaline media, we have broadened our understanding of the HER in the whole range of pH by considering three main parameters: the nature of the proton donor (H3O+ in acid and H2O in alkaline), the energy of adsorption of Had and OHad, and the presence of spectator species.

The campaign focuses on achieving four key results for children – the so-called 'Four P's's