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Aluminum Cross-Linked Carboxylated Nanocellulose Hydrogels with Enhanced Antifreezing Properties. [PDF]
Gunarathne K +4 more
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Simultaneous learning of static and dynamic charges.
Stärk P +6 more
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Minkowski's conjecture on a system of linear inhomogeneous forms
Mathematical Notes, 1969The possibility of representing third-order unimodular matrices as a product of diagonal, orthogonal, triangular, and integral matrices is investigated.
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Journal of Soviet Mathematics, 1976
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Products of Inhomogeneous Linear Forms
Proceedings of the London Mathematical Society, 1955Davenport, Harold +1 more
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Ukrainian Mathematical Journal, 2023
The authors consider the linear differential equation with constant coefficients (from the valuation ring of a non-Archimedean field) \[ a_mw(m)+\dots+a_1w'+a_0w=f(x), \] where the inhomogeneity \(f\) is in the form of a formal power series. The conditions guaranteeing the uniqueness and existence of the solution in the ring of formal power series are ...
Hefter, S. L., Goncharuk, A. B.
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The authors consider the linear differential equation with constant coefficients (from the valuation ring of a non-Archimedean field) \[ a_mw(m)+\dots+a_1w'+a_0w=f(x), \] where the inhomogeneity \(f\) is in the form of a formal power series. The conditions guaranteeing the uniqueness and existence of the solution in the ring of formal power series are ...
Hefter, S. L., Goncharuk, A. B.
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Equivalent Forms of a Generalized Hirota's Equation with Linear Inhomogeneities
Journal of the Physical Society of Japan, 1983Summary: A generalized version of Hirota's equation with linear inhomogeneities is shown to be equivalent to a generalized continuum Heisenberg ferromagnetic spin chain equation as well as to a generalized Wadati- Konno-Ichikawa-Shimizu (WKIS) type equation, both from geometrical and gauge considerations.
Lakshmanan, M., Ganesan, S.
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On the inhomogeneous minimum of the product of n linear forms
Mathematika, 1956Let \(L_1, \ldots, L_n\) be \(n\) real homogeneous linear forms in \(x_1, \ldots, x_n\) of determinant \(\Delta \neq 0\). Minkowski's conjecture states that if \((x'_1, \ldots, x'_n)\) is any real point, there exists a point \((x_1, \ldots, x_n) \equiv (x'_1, \ldots, x'_n)\pmod 1\) such that \(|L_1\cdots L_n| \leq 2^{-n}|\Delta|\), with equality if and
Birch, B. J., Swinnerton-Dyer, H. P. F.
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Journal of Mathematical Sciences, 2021
The paper is about the determination of necessary and sufficient conditions for the existence of smooth admissible extremals of the functional, where the state variable is subject to an ordinary differential equation (ODE) constraint. When the equations for constraints are regarded as independent, the classical method can be used for the solution of ...
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The paper is about the determination of necessary and sufficient conditions for the existence of smooth admissible extremals of the functional, where the state variable is subject to an ordinary differential equation (ODE) constraint. When the equations for constraints are regarded as independent, the classical method can be used for the solution of ...
openaire +2 more sources

