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Borweins’ cubic theta functions revisited
The Ramanujan Journal, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heng Huat Chan, Liuquan Wang
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Cubic hermite and cubic spline fractal interpolation functions
AIP Conference Proceedings, 2012Despite that the spline theory is a well studied topic, its relationship with the fractal theory is novel. Fractal approach offers a single specification for a large class of interpolants of which the classical spline is a particular member, and hence possesses considerable flexibility in the choice of an interpolant.
A. K. B. Chand, P. Viswanathan
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Generating Tractable Cubic Cost Functions
SSRN Electronic Journal, 2021Classes in microeconomics typically use cubic cost functions, because they can exhibit marginal costs that fall as output increases to some efficient level, and then rise thereafter. Cubic cost functions embody economies of scale, making it easy to illustrate that concept with quadratic average cost curves.
Scott Swinton, Hanzhe Zhang
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The Cubic Symplectic Theta Function
Journal of Mathematical Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cubic Identities of Theta Functions
The Ramanujan Journal, 1998A number of useful and interesting cubic identities involving theta functions are available in Ramanujan's Lost Note book. In this paper several theorems are established, in order to prove, some of these cubic identities. For proving the theorems the author employed addition formulas, the Jacobi triple product identity and the quintuple product ...
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A Generalized Cubic Functional Equation
Acta Mathematica Sinica, English Series, 2005The author solves the functional equation \[ f_1(2x+y)+f_2(2x-y)=f_3(x+y)+f_4(x-y)+f_5(x), \qquad x,y \in \mathbb R, \] where \(f_1, f_2, f_3, f_4, f_5: \mathbb R \to \mathbb R\). The general solution, obtained by elementary methods, is made up via diagonal of multiadditive symmetric functions. This result is then extended to the case of functions from
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Mathematical Proceedings of the Cambridge Philosophical Society, 1979
Although the classification of affine cubic curves was undertaken by Newton(4), in one of the first major exercises ever in coordinate geometry (see Cayley(2) for a fuller account), a parallel study of cubic functions seems not to have been contemplated till recently.
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Although the classification of affine cubic curves was undertaken by Newton(4), in one of the first major exercises ever in coordinate geometry (see Cayley(2) for a fuller account), a parallel study of cubic functions seems not to have been contemplated till recently.
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