Results 171 to 180 of about 10,083 (197)

Simultaneous learning of static and dynamic charges.

open access: yesPhys Chem Chem Phys
Stärk P   +6 more
europepmc   +1 more source

Minkowski's conjecture on a system of linear inhomogeneous forms

Mathematical Notes, 1969
The possibility of representing third-order unimodular matrices as a product of diagonal, orthogonal, triangular, and integral matrices is investigated.
exaly   +2 more sources

A proof of Minkowski's conjecture on the product of n linear inhomogeneous forms in variables for n?5

Journal of Soviet Mathematics, 1976
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

Products of Inhomogeneous Linear Forms

Proceedings of the London Mathematical Society, 1955
Davenport, Harold   +1 more
exaly   +3 more sources

Linear Differential Equation with Inhomogeneity in the Form of a Formal Power Series Over a Ring with Non-Archimedean Valuation

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.
openaire   +1 more source

Equivalent Forms of a Generalized Hirota's Equation with Linear Inhomogeneities

Journal of the Physical Society of Japan, 1983
Summary: 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.
openaire   +2 more sources

On the inhomogeneous minimum of the product of n linear forms

Mathematika, 1956
Let \(L_1, \ldots, L_n\) 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.
openaire   +2 more sources

Admissible Extremals in the Problems of Variational Calculus with Constraints in the Form of a System of Linear Inhomogeneous Differential Equations of the First Order with Rectangular Matrices

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 ...
openaire   +2 more sources

Home - About - Disclaimer - Privacy