Sentence examples for necessary theories from inspiring English sources

In Section 2, some necessary theories and the mathematical models of fractional-order and integer-order systems are given.

(A plural version replaces the singular variable 'x' with a plural variable 'xx' (read "the xs").) This leads to a familiar problem when truthmakers are sought for necessary theories: any entity (or plurality of entities) is a truthmaker for any necessary theory on the analysis.

The necessary theory and pilot tests were worked out, and the bombers then destroyed the dam using this technique.

Alternatively, one can develop the necessary theory directly in workspace coordinates.

The necessary theory of 2D magnetotransport in the presence of spin-orbit coupling beyond the diffusive approximation is developed and used to analyze experimental data.

Students learn to develop the necessary theory to pose, interpret, and solve inverse problems, focusing on topics including error characterization, linear and non-linear methods, approximations, Kalman filters, use of prior constraints, and observing system design.

Here we provide the necessary theory to fit this case, using an approach that combines state-space models of nutrition with Tilman's models of resource exploitation (Tilman 1982, Resource Competition and Community Structure, Princeton Princeton University Presss).

A peculiarity of the use of virtual labs is that, in this case, they are performed after the hands-on labs, and therefore, they do not aim to prepare students for the laboratory by presenting the necessary theory for the experiment.

The work of Palik and Furdyna [12] provides the necessary theory for optical and magneto-optical behavior of semiconductors.

This discovery led to the new field of quantum mechanics, which provided the necessary theory for understanding the photovoltaic effect [ 2], thus proving essential for the invention of solar cells.

The considerations outlined above provide the basic biological intuition for predicting sex-specific genetic architecture for fitness-related phenotypes, including disease, yet we currently lack the necessary theory to quantify the likely affect of sex-specific selection on patterns of phenotypic variation.