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This note studies Hardy-type inequalities for vector fields with the L¹ norm of the operator curl. In contrast to the well-known results in the whole space for the divergence-free vector fields, we ...

There’s been a debate of sorts in AI circles about which database is more important in finding truthful information in generative AI applications: graph or vector databases. AWS decided to leave the ...

One of the common debates in the AI circles is whether using graph or vector databases offers more truthful information in generative AI (GenAI) applications. While graph data is great at representing ...