Sentence examples for mathematical model becomes from inspiring English sources

By assuming a linear, equilibrium partitioning between water, gas and the adsorbed chemical phases, the dependent variable in the mathematical model becomes the total resident concentration.

Since, in this case, the fourth order spatial derivative multiplies a small parameter, the mathematical model becomes a boundary layer type of problem.

To prevent "over fitting", when Minwa's mathematical model becomes too obsessed with the specifics of the portion of images it is trained on, the data is also supplied in skewed forms, with vignetting, cropping, colour and shape distortion all applied to make sure the model only learns the important characteristics of the image subject.

The mathematical model becomes computationally intractable when the number of manufacturers, distributors, part/product items, and time periods are large.

A deficiency of the mathematical model becomes apparent, since the impulse response should have its support in the positive time axis.

The equation system (2), (3), associated to the mathematical model becomes: m 1 ẍ + M 6 ÿ + c x ˙ - y ˙ + k 1 + i s x - y + f = F PM t - f · N · sgn u ˙ - F f, PM - G 2 - G EE M 6 · ẍ + m 2 · ÿ - c · x ˙ - y ˙ - k · 1 + i · s · x - y + f = G l - F f, AA - F HS - G 2 - G AA (25 where the following notations have been used: m 1 = m EE + M 3 and m 2 = m AA + M 3. (26).

As mathematical modeling becomes a powerful tool for decision making both in pre-planning [16] [25] and in real-time situations [26] [30], knowing in advance how to account for spontaneous behavioral changes would greatly improve the predictive power of epidemic transmission models and the evaluation of the effectiveness of control strategies.

Because of complex feedback regulation on the meiotic initiation pathway, mathematical modeling becomes an important tool to understand dynamic behaviors of signaling molecules and how their interactions ensure different degrees of sporulation efficiency.

"Mathematical models become simply easier if midair collisions are neglected," says Eric Parteli, a physicist at the University of Erlangen-Nuremberg in Germany who was not involved in the research.

Finally, mathematical models become more important for the understanding and prediction of complex behavior of biological systems.

A clear consequence of our work is that while it is relatively simple to incorporate detailed mechanisms into a mathematical model, it becomes increasingly difficult to independently identify the contributions of each mechanism in the mathematical model using experimental data.