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Realistic 3D human saccades generated by a 6-DOF biomimetic robotic eye under optimal control. [PDF]

Front Robot AI
Van Opstal AJ, Javanmard Alitappeh R, John A, Bernardino A.   +3 more
europepmc   +1 more source

State-of-the-art local correlation methods enable affordable gold standard quantum chemistry for up to hundreds of atoms. [PDF]

Chem Sci
Nagy PR.
europepmc   +1 more source

Convergent Concordant Mode Approach for Molecular Vibrations: CMA-2. [PDF]

J Chem Theory Comput
Kitzmiller NL, Lahm ME, Olive Dornshuld LN, Jin J, Allen WD, Schaefer Iii HF.   +5 more
europepmc   +1 more source

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Direct Decompositions of Torsion-Free Abelian Groups

Lobachevskii Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Enumerations and Completely Decomposable Torsion-Free Abelian Groups

Theory of Computing Systems, 2009
The main results of this paper are the following: For any family \(R\) of finite sets there exists a completely decomposable torsion-free abelian group \(G_{R}\) of infinite rank such that \(G_{R}\) has an \(X\)-computable copy if and only if \(R\) has a \(\Sigma_{2}^{X}\)-computable enumeration (Theorem 4).
Alexander G Melnikov
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Projective classes of torsion free abelian groups. II

Acta Mathematica Hungarica, 1984
[Part I, cf. the author and \textit{C. Vinsonhaler}, ibid. 39, 195-215 (1982; Zbl 0496.20041).] Let \({\mathcal C}\) be the category of torsion free abelian groups of finite rank, \(G\in {\mathcal C}\), \(C_ 0(G)=\{A\in {\mathcal C}|\) G is projective with respect to all \({\mathcal C}\) exact sequences (pure exact sequences) of the form: \(0\to K\to A\
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On Torsion-Free Abelian k-Groups

Proceedings of the American Mathematical Society, 1987
A height sequence s is a function on primes p with values \(s_ p\) natural numbers or \(\infty\). The height sequence \(| x|\) of an element x in a torsion-free abelian group G is defined by \(| x|_ p=height\) of x at p. For a height sequence s, \(G(s)=\{x\in G:| x| \geq s\}\), \(G(ps)=\{x\in G(s):| x|_ p\geq s_ p+1\}\), \(G(s^*)=\{x\in G(s):\sum_{p}(|
Dugas, Manfred, Rangaswamy, K. M.
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ENDOPRIMAL TORSION-FREE SEPARABLE ABELIAN GROUPS

Journal of Algebra and Its Applications, 2004
We give a characterization for the groups in the title in terms of the graph structure of the critical types occurring in the group. Moreover, we give an example of arbitrarily large endoprimal indecomposable groups.
Göbel, R., Kaarli, K., Márki, L., Wallutis, S. L.   +3 more
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Local Abelian Torsion-Free Groups

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Tight subgroups in torsion-free Abelian groups

Israel Journal of Mathematics, 2003
The paper deals with ``tight subgroups'' of torsion-free Abelian groups, namely those subgroups that are maximal with respect to being completely decomposable. Tight subgroups were first studied by \textit{K. Benabdallah}, \textit{A. Mader} and \textit{M. A. Ould-Beddi} [J. Algebra 225, No.
Ould-Beddi, Mohamed A., Strüngmann, Lutz   +1 more
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