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Cubic Diophantine Equations with Reducible Cubic Part
Proceedings of the London Mathematical Society, 1970Summary: An equation of the type considered can, by suitably transforming the variables, written as \[ yQ + Q_1 + L + N = 0, \tag{1} \] where \(N\) is an integer and \(Q,Q_1, L\) are forms of degrees \(2,2,1\) in \(n\) variables \(x_1,\ldots,x_{n-1}, y\).
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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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2020
In the previous Chapter, the thermodynamic potentials and the equilibrium criteria were obtained as a function of the fugacity and activity coefficients. In turn, the fugacity coefficient was expressed as a function of the two sets of measurable variables.
Bernardo Carreón-Calderón +2 more
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In the previous Chapter, the thermodynamic potentials and the equilibrium criteria were obtained as a function of the fugacity and activity coefficients. In turn, the fugacity coefficient was expressed as a function of the two sets of measurable variables.
Bernardo Carreón-Calderón +2 more
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Cubic Derivative Nonlinear Schrödinger Equations*
SUT Journal of Mathematics, 2000The paper studies the Cauchy problem for the cubic derivative nonlinear Schrödinger equation, whose nonlinear term is a linear combination of all possible cubic differential polynomials but not only polynomials of the unknown function. The global existence in time of solutions to the Cauchy problem is proved, and the modified asymptotics is constructed
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Cubic equation of state as a quartic in disguise
Fluid Phase Equilibria, 2021Naman Kukreja +2 more
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