Results 111 to 120 of about 222 (151)

Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]

Artif Intell Rev
Su Z, Liu X, Hamdan LB, Maroulas V, Wu J, Carlsson G, Wei GW, Wei GW.   +7 more
europepmc   +1 more source

Arithmetic fundamental lemma for the spherical Hecke algebra. [PDF]

Manuscr Math
Li C, Rapoport M, Zhang W.
europepmc   +1 more source

<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]

Math Ann
Loeffler D, Williams C.
europepmc   +1 more source

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.
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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
exaly   +3 more sources

Direct Decompositions of Torsion-Free Abelian Groups

Lobachevskii Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

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.
openaire   +1 more source

On Weakly Transitive Torsion-Free Abelian Groups

Journal of Mathematical Sciences, 2021
This short note adds new information on a previous paper with the same subject by \textit{B. Goldsmith} and \textit{L. Strüngmann} [Commun. Algebra 33, No. 4, 1177--1191 (2005; Zbl 1142.20032)]. The results are: Proposition 2. If \(A\) is a reduced torsion-free group with strongly indecomposable pure subgroups and the set \(T(A)\) of types of all its ...
openaire   +3 more sources

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
openaire   +1 more source