Sentence examples for theory needed for from inspiring English sources

In this section, we state the stochastic mixed effects model and derive the (approximate) maximum likelihood theory needed for parameter estimation.

Turing's theory needed to account for quantum mechanics if its logic was to hold.

All the theory needed was elaboration and refinement for the benefit of the ordinary mortals who had to make it work, and who, in their obtuseness, opportunism or sheer malevolence, had misinterpreted or abused it.

Quantum theory is needed for understanding nuclear structure.

This adds ideas particularly technological know-how to the inputs of land, labour and capital that in traditional economic theory are needed for growth.

Random operator theory is needed for the study of various classes of random equations.

Strict examination of the psychometric properties of the ODI by modern measurement theory is needed for precise measurement of the level of functional limitation in back pain.

We argue that such a theory needs to account for the semantics of agent interaction, and propose the first mathematical theory which does this.

It is demonstrated that the original Bresse Timoshenko beam theory, as an overcomplicated theory, is not needed for crack analysis.

For the Earth and some smaller terrestrial planets as well as most numerical simulations, Ra may not be as high as the asymptotic theory require, and thus, some other theory may be needed for lid stress scaling.

However, the predicted relationship between k and the shedding frequency no longer holds, indicating that the existing vortex shedding theory needs modification to account for unequal strength shear layers.