LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

An improved lower bound for the maximal length of a multivector

Photo from wikipedia

A new lower bound for the maximal length of a multivector is obtained. It is much closer to the best known upper bound than previously reported lower bound estimates. The… Click to show full abstract

A new lower bound for the maximal length of a multivector is obtained. It is much closer to the best known upper bound than previously reported lower bound estimates. The maximal length appears to be unexpectedly large for n-vectors, with $$n>2$$n>2, since the few exactly known values seem to grow only linearly with vector space dimension, whereas the new lower bound grows at power $$n-1$$n-1 like the best known upper bound. This result has implications in quantum chemistry for the compression of information contained in an electronic wave function.

Keywords: bound maximal; chemistry; maximal length; bound; lower bound

Journal Title: Journal of Mathematical Chemistry
Year Published: 2018

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.