Results 141 to 150 of about 142,721 (259)
ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
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The Mathematical History Behind the Granger–Johansen Representation Theorem
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
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ABSTRACT Artificial intelligence (AI) systems are increasingly being integrated into public sector decision‐making processes, with public managers relying on them to enhance their capabilities. As AI adoption becomes more widespread, discussions about its advantages and drawbacks intensify, alongside growing external expectations and pressures. However,
A. Paula Rodriguez Müller +2 more
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Relationships Between Shared Group Properties: Theory, Measurement, Estimation, and Adjustment
ABSTRACT Teams researchers, meta‐analysts, and others often study relationships between group‐level constructs measured by aggregating individual‐level variables, but it is well‐known that group‐mean correlations are influenced by individual‐level relationships.
Mark A. Maltarich +2 more
wiley +1 more source
ABSTRACT Strategic human resource management (HRM) scholars have extensively examined the impact of a high‐performance work system (HPWS) on firm performance outcomes and the conditions that influence this relationship. However, the factors that affect how intensively a firm uses an HPWS remain less understood.
Dishi Hu +5 more
wiley +1 more source
(Co‐)Reference All the Way Down: A Unified Theory of (Pro) Nominals in Ordinary English
ABSTRACT This essay joins two themes, both arising from Kripke's inspiring ideas in the theory of reference. The first theme concerns reference in general. The second examines the notion of co‐reference and the role it plays in a unified theory of pronouns for natural language.
Jessica Pepp, Joseph Almog
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On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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Isomorphisms in switching classes of graphs [PDF]
We introduce notation and terminology to investigate conditions on a permutation group G sufficient to ensure that G fixes a graph in any switching class of graphs that it stabilises. We show that cyclic groups, groups of odd order groups of order ^k+2 and all stabilisers of switching classes of graphs on an odd number of vertices have this property ...
openaire
Topological Graph Neural Networks: A Novel Approach for Geometric Deep Learning
This graphical abstract illustrates the Topological Graph Neural Network (TopGNN) architecture. It demonstrates a parallel processing approach where an input graph is simultaneously analyzed by a standard GNN Encoder to capture local node features and by Persistent Homology to extract global topological features (like cycles and voids), visualized as a
Amarjeet +7 more
wiley +1 more source

