circulant love

# circulant

## Definitions

### from The Century Dictionary.

• noun In mathematics, a determinant having all the elements of the principal diagonal equal, and those of every row the same as those of any other cyclically transposed.

• noun mathematics A circulant matrix

## Etymologies

Sorry, no etymologies found.

## Examples

• But the basic Weyl circulant is only one of the MUB factors, coming from the braided (MUB) 1-circulants, with entries that are roots of unity, give rise to more general large complex matrices with one entry in each row and column.

• In vector space arithmetic, instead of ordinary combination of circulant primes in a matrix ordinal $n$ is a product.

• It follows that a Koide matrix is an exponential of the matrix The first entry of the circulant $A$ is $\textrm {log} (\sqrt {m_1 m_2 m_3})$.

• For example, on the two dimensional circulant piece we have

• CKM circulant sum $X + iY$, the Fourier transform gives the sum of a diagonal and codiagonal matrix, which on rearranging rows and columns roughly equals