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A Class of Stochastic Algorithms for the Wigner Equation [PDF]
A class of stochastic algorithms for the numerical treatment of the Wigner equation is introduced. The algorithms are derived using the theory of pure jump processes with a general state space. The class contains several new algorithms as well as some of
Orazio Muscato
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Regularization of a Class of Summary Equations
Russian Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garif'yanov, F. N., Strezhneva, E. V.
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On a Class of Operator Equations
Mathematical Notes, 2001This article deals with the equation \(a(x)=f(x)\) where \(a,f:E_1\to E_2\) are, respectively, a continuous surjective linear operator and a completely continuous nonlinear operator between Banach spaces \(E_1\) and \(E_2\); it is also assumed that \(\dim\text{ker}\,a\geq 1\). The author formulates simple and natural conditions under which the equation
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The Insolubility of Classes of Diophantine Equations
American Journal of Mathematics, 1954Let \(m\) be a natural and \(a_1,a_2,...,a_n\) non-zero rational integers such that for every selection \(e_j=0\) or \(\pm 1\) (\(j=1,2,...,n\)) except \(e_1=e_2=\cdots=e_n=0\) we have \(a_1e_1+\cdots +a_ne_n \neq 0\). Let \(U\) be a large positive real number tending to infinity and \(D(U)\) the number of \(m \leq U\) for which the equation \(a_1X_1^m+
Ankeny, N. C., Erdős, Pál
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A class of Diophantine equations
Publicationes Mathematicae Debrecen, 1992A method is given for the resolution of diophantine equations of type \(F(2^ a\cdot 3^ b)=\pm 2^ c\cdot 3^ d\), where \(F(x)\in\mathbb{Z}[x]\) has at least two distinct roots. The method is based on lower bounds for linear forms in logarithms of algebraic numbers and the LLL-lattice basis reduction algorithm.
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A Class of Diophantine Equations
The Mathematical Gazette, 1938The general solution in positive integers of the equation (1) 2 a(x 2 − y 2 ) + l = z 2 where
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Classes of Semilattices Associated with an Equational Class of Lattices
Canadian Journal of Mathematics, 1973In this paper we consider the question of whether there is a natural class of semilattices associated with a fixed equational class of lattices. We give four classes of semilattices which may be obtained from a given equational class of lattices and show that for the distributive case they coalesce into one class.
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On equivalence classes of interpolation equations
1995An Interpolation Equation is an equation of the form [(x)c 1 ... c n=b], where c 1 ... c n , b are simply typed terms containing no instantiable variable. A natural equivalence relation between two interpolation equations is the equality of their sets of solutions.
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On a class of quasilinear schrödinger equations
Applied Mathematics and Mechanics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shu, Ji, Zhang, Jian
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