Conversely in the U.S. and Singapore, students in classrooms where teachers asked their students to write equations and functions to represent relationships or work on problems for which there is no immediately obvious method of solution were predicted to have higher mathematics scores, after controlling for all other variables in the model.
For matched lifetimes, spherical bubbles in this ethanol-based solution are predicted to be 6% larger than in water [ 24].
For (k=2), this condition reduces to (sin(gamma x) > 1/(4andha)), and then, for (0 < alphaleq1/4), the solutions are predicted to be nonoscillatory by our definition as well.
Note that the original inlet solution (groundwater) was predicted to be supersaturated with respect to calcium carbonate by about half a saturation index unit.
The incinerator, built in 1971, was meant to be a solution for waste disposal, but was predicted to fail to meet standards of the1997 Clean Air Act laws, and it received violations by the EPA for its excessive release of soot and lead, according to a report by The Great Cities Institute.
(18) The endpoint (x_) lies on the negative side of the x-axis, therefore oscillatory solutions are predicted in the interval (xin[0, x_)). Furthermore, all solutions in (xin(x_, +infty)) are predicted to be nonoscillatory.
(10) The endpoint (x_ = -1 - 2/N) lies on the negative side of the x-axis, therefore oscillatory solutions are predicted in the entire interval (xin[0, +1)). Furthermore, all solutions in (xin(+1, +infty)) are predicted to be nonoscillatory.
In addition to the steady state solutions, other periodic solutions are predicted by the perturbation amplitude and phase modulation equations.
The acid gas absorption in four potassium based amino acid salt solutions was predicted using artificial neural network (ANN).
In the frame work of bifurcation and phase portrait, different classes of solutions are predicted and the explicit solitary wave solutions are obtained for different forms of the nonlinear coefficient ( k u) ).
