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Everything about Cubic function
Polynomial function of degree 3
In mathematics, a cubic function is a function of the form with , that is, a polynomial function of degree three. In many texts, the coefficients a, b, c, and d are supposed to be real numbers, and the function is considered as a real function that maps real numbers to real numbers or as a complex function that maps complex numbers to complex numbers. In other cases, the coefficients may be complex numbers, and the function is a complex function that has the set of the complex numbers as its codomain, even when the domain is restricted to the real numbers. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Cubic functionA 5-minute orientation
- Skim a recent paper: A new cubic transmuted power-function distribution: Properties, inference, and applicationsInfluential work since 2022
- Pick up a classic book: Algebraic constraints implying monotonicity for cubicsThe most-reprinted book on the subject
- Read the landmark paper: Elastic Green's Function for Anisotropic Cubic CrystalsCited 110 times
- Go sideways: Plane cubic curveA closely related topic
- Go sideways: Cubic equationA closely related topic
📖 Definitions
Noun Any function (polynomial) whose greatest exponent is 3.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Elastic Green's Function for Anisotropic Cubic Crystals
On the simple cubic lattice Green function
Lattice Green function for the simple cubic lattice
The cubic anharmonic potential function of polyatomic molecules
Lattice Green's Function for the Simple Cubic Lattice
A rational cubic spline based on function values
On the generality of the cubic creep function
A NEW TOTAL CUBIC FOOT VOLUME FUNCTION
🆕 Influential since 2022
A new cubic transmuted power-function distribution: Properties, inference, and applications
Time-resolved pump–probe spectroscopic ellipsometry of cubic GaN. I. Determination of the dielectric function
The mean values of cubic L-functions over function fields
Optimization of support vector machine with cubic kernel function to detect cyberbullying in social networks
Jacobi elliptic function solutions for the resonant nonlinear Schrödinger equation with anti-cubic nonlinearity
📚 Books worth reading
- 📕Algebraic constraints implying monotonicity for cubicsCharles Fenimore · 2000
- 📕Über die Verwerthung der elliptischen Functionen für die Geomtrie der curven dritten GradesHarnack, Axel · 1875
- 📕Parabolische logarithmen und parabolische trigonometrieSiegmund Günther · 1882
- 📕Teori͡ia kubaturnykh formul i prilozheni͡ia funk͡tsionalʹnogo analiza k zadacham matematicheskoĭ fizikiS. V. Uspenskiĭ · 1977
- 📕Teorii︠a︡ kubaturnykh formul i prilozhenii︠a︡ funkt︠s︡ionalʹnogo analiza k zadacham matematicheskoĭ fiziki · 1976
- 📕Teorii︠a︡ kubaturnykh formul i prilozhenii︠a︡ funkt︠s︡ionalʹnogo analiza k zadacham matematicheskoĭ fiziki · 1981
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🔗 Related topics
- Plane cubic curve In mathematics, a plane cubic curve, often called simply a cubic, is a plane algebraic curve defined by a homogeneous polynomial of degree 3 in three variables…
- Cubic equation In algebra, a cubic equation in one variable is an equation of the form ax3+bx2+cx+d=0 in which a is not zero. The solutions of this equation are called…
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- Inflection point In differential calculus and differential geometry, an inflection point, point of inflection, flex, or inflection (rarely inflexion) is a point on a smooth…
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