Einstein functions fail to model this trend, and for the purposes of interpolation the values were fitted to a quartic polynomial.
Equivalently, the idea is to approximate the underlying function within the moving window not by a constant, but by a polynomial of higher order, typically quadratic or quartic: For each point (f_{i}), we least-squares fit a polynomial to all (n_{text{L}} + n_{text{R}} + 1) points in the moving window, and then set g i to be the value of that polynomial at position i.
Using von Mises criterion, lower bounds of collapse load can be found by solving a quartic equation, thus avoiding the numerical sweep needed with Tresca criterion.
Furthermore, it is observed that the relationship between the pressure and the voltage can be described by a quartic function before the pressure reaches its maximum value.
The collision time of a collision pair is computed by a quartic equation in which the effect of acceleration due to the different diameters is considered.
To improve the gain-temperature characteristics of ATCXOs, a quartic compensation algorithm and network are derived using curve fitting technique.
Therefore, for three receivers and four receivers, the optimal power allocation is a type of water-filling strategy given by the solutions up to a cubic and a quartic equation, respectively.
By Theorems 3.1 and 3.2, there exist a quadratic mapping and a quartic mapping such that (3.42).
For one example of collimating 2.615 MeV gamma rays, a quartic collimator reduces the required volume by over 70% from a standard cylindrical collimator.
Apart from these, a quartic non-polynomial spline approach has been proposed by researchers for the solution of the fourth [13] and sixth order [14] ODEs with second kind boundary conditions.
