Sentence examples for which equations are from inspiring English sources

A complex non-linear system is divided into substructures, of which equations are approximately transformed to modal co-ordinates including non-linear term under the reasonable procedure.

At reservoir scale, meshed models in which equations are solved assuming that constant macroscopic properties can be defined in each cells, are widely used.

It seems to us that a static analysis tool is ideally decomposed into three building blocks: (1) a front-end, which parses programs, generates semantic equations, and supervises the analysis process; (2) a fixpoint equation solver, which takes equations and solves them; (3) and an abstract domain, on which equations are interpreted.

Further, the vector of species mass fractions is partitioned into major species which are those of interest to calculate, and thus for which equations are solved, and minor species which are those of no interest to calculate and are therefore modeled.

A discussion of which equations are gradient flows PDEs and of numerical methods based on these ideas is also provided.

Viewing the diffusion equation's introduction in this way could support an epistemological stance in which equations are viewed as having a limited role in understanding the biological concepts.

To explain which equations were solvable by radicals and which were not, Galois analyzed the ways in which these subgroups were related to one another: solvable equations gave rise to what are now called a chain of normal subgroups with cyclic quotients.

The relationship between hypoglycaemia and utility was modelled using a two stage approach in which equations were derived describing the relationship between hypoglycaemia and the fear of hypoglycaemia (measured via the Hypoglycaemia Fear Score (HFS)).

The calculated specific surface area was quite dependent on which equation is considered for multilayer adsorption.

I knew we breathed out carbon dioxide, but actually feeling the water come out too helped me to remember which equation was which.

2) The kinetic data should include fits and resulting rate constants (and also which equation was used) to judge quality of the kinetic model.