Such a chain may be compared with the celebrated Fermi-Pasta-Ulam (FPU) chains as a paradigm of the ILMs where the restoring force is given by a cubic function of displacement called the FPU-[beta] model .
1 with a cubic function for appropriate values for parameters.
Specific excess power is expressed as a cubic function.
The approach yields as one result a cubic function for the specific excess power, [P.
The form of equation (6) is a cubic function which can be solved mathematically for the values of V, which are the three roots of the equation.
The cubic function was the best-fitting time model ([DELTA]AIC = 0) and all other models had a [DELTA]AIC < 4.
The explanatory variables are time (t), included as a cubic function (t + [t.
4]f(x,-x) + 27f(x) = 27f(x), f is a cubic function.
Then there exist a cubic function C : V [right arrow] W and an additive function A : V [right arrow] W such that
Moreover, the cubic function could be expected to exhibit a positive, negative, positive sign pattern as the profits for both small and large firms are higher than those of medium sized firms.
While the cubic function does not directly test whether small banks have advantages in loaning to small business, a finding that the underlying firm size function is a cubic is consistent with such an hypothesis.
A cubic function
that is continuous, and has a continuous first and second derivative is employed to represent the angular position of the motor the derivative of which gives the angular velocity.