In this note, we introduce the notion of the local product on a sheet and associated space. As an application, we prove that some inequalities of multiple integrals of the distance and the log normalized distance of vectors in space.
Research Article
An inequality for multiple integral for distance and log normalized distance function of vectors
https://doi.org/10.21203/rs.3.rs-1762591/v1
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In this note, we introduce the notion of the local product on a sheet and associated space. As an application, we prove that some inequalities of multiple integrals of the distance and the log normalized distance of vectors in space.
Local product
Local product space
sheet
No competing interests reported.
posted
You are reading this latest preprint version