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Complexity Heliophysics: A Lived and Living History of Systems and Complexity Science in Heliophysics
This review examines complexity science in the context of Heliophysics, describing it not as a discipline, but as a paradigm. In the context of...
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Complexity-driven product design: part 1—methodological framework and geometrical complexity index
Modern industries are experiencing radical changes due to the introduction of high technological innovations. In this context, even more highly...
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Three-dimensional causal complementary complexity: a new measure for time series complexity analysis
The empirical mode decomposition (EMD) energy entropy plane is an effective tool for analysing the complexity of time series, but mode mixing caused...
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Complexity
This chapter establishes the equivalence of deterministic and nondeterministic Turing machines. In addition, it introduces the complexity classes P... -
Care complexity, perceptions of complexity and preferences for interprofessional collaboration: an analysis of relationships and social networks in paediatrics
BackgroundIn the context of increasingly intricate healthcare systems, professionals are compelled to collaborate within dynamically changing...
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Time Complexity
In the realm of informatics and computational analysis, it is important to understand the efficiency of a program or calculation procedure. This... -
Spread complexity in saddle-dominated scrambling
Recently, the concept of spread complexity, Krylov complexity for states, has been introduced as a measure of the complexity and chaoticity of...
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General remarks on the entropy-inspired MCAT (manufacturing complexity assessment tool) model to assess product assembly complexity
Assembly complexity assessment is a widely addressed topic in manufacturing. Several studies proved the correlation between assembly complexity and...
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Complexity in tame quantum theories
Inspired by the notion that physical systems can contain only a finite amount of information or complexity, we introduce a framework that allows for...
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Inflationary Krylov complexity
In this work, we have systematically investigated the Krylov complexity of curvature perturbation for the modified dispersion relation in inflation,...
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Parameterized Complexity
We look at the basics of parameterized complexity. This is a method which seeks to find tractability by limiting some parameter in the input. We... -
Complexity=anything: singularity probes
We investigate how the complexity=anything observables proposed by [1, 2] can be used to investigate the interior geometry of AdS black holes. In...
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Complexity
Complexity emerged as a paradigm for a world that is increasingly difficult to understand. Concepts from natural sciences, notably chaos theory,... -
Subsystem complexity and measurements in holography
We investigate the impact of measuring one subsystem on the holographic complexity of another. While a naive expectation might suggest a reduction in...
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Complexity, scaling, and a phase transition
We investigate the holographic complexity of CFTs compactified on a circle with a Wilson line, dual to magnetized solitons in AdS 4 and AdS 5 . These...
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Complexity Measures
Above all, for measurements in software development, from which test metrics can be derived, metrics are defined using complexity measures that... -
Quantum complexity and bulk timelike singularities
Quantum complexity has already shed light on CFT states dual to bulk geometries containing spacelike singularities [
1 –3 ]. In this work, we turn our... -
Krylov complexity and chaos in quantum mechanics
Recently, Krylov complexity was proposed as a measure of complexity and chaoticity of quantum systems. We consider the stadium billiard as a typical...
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A bulk manifestation of Krylov complexity
There are various definitions of the concept of complexity in Quantum Field Theory as well as for finite quantum systems. For several of them there...
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Metabolic complexity drives divergence in microbial communities
Microbial communities are shaped by environmental metabolites, but the principles that govern whether different communities will converge or diverge...