# cubic polynomial

## cubic polynomial

[′kyü·bik ‚päl·ə′nō·mē·əl]
(mathematics)
A polynomial in which all exponents are no greater than 3.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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De Moraes, "Limit cycles for a class of continuous and discontinuous cubic polynomial differential systems," Qualitative Theory of Dynamical Systems, vol.
The eigenfunction expansion method is a suitable choice of discretization method for finding multiple solutions of fourth-order ODEs with cubic polynomial nonlinearity.
If you appreciate that pattern, it is straightforward to extend Lagrange's formula to find a cubic polynomial passing through four given points, or any higher order scenario you require.
The Hermite interpolation function is actually the basic cubic two-point interpolation function, the simplest case of a cubic polynomial with boundary conditions settled (C0 and C1 continuity) as stated by Lehmann et al.
It was found that the DSG is effective to eliminate shear locking for a Kriging-based element with cubic polynomial basis, but not effective for those with quadratic and linear bases.
Meanwhile for Figure 1(b) the values for shape parameter are [[alpha].sub.i] = 0 (black), cubic polynomial Ball, that is, from (8), and [[alpha].sub.i] = 1000 (dashed).
From Figure 6 and Table 2, it can be seen that the RMSE about the cubic polynomial function is lowest.
Odds ratios were estimated from a conditional logistic regression model with stratification by ZIP code, year, and month and with parametric control for lag 0 mean temperature, lag 0 mean humidity, and day of year using cubic polynomials; indicators for day of week, warm season, holiday, and lag holiday; and product terms between the warm season indicator and the temperature cubic polynomial, humidity cubic polynomial, day of week indicators, holiday indicators, and lag holiday indicators.

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