Regardless of its use, the concept is equally simple. The definition of "=" is the only difference.
Frank --- Frank C. Wimberly 140 Calle Ojo Feliz, Santa Fe, NM 87505 505 670-9918 Santa Fe, NM On Sat, Jun 13, 2020, 12:23 PM Jon Zingale <[email protected]> wrote: > Tom, > > Perhaps one of the most common usages of the Kronecker delta, > and a usage we skirted in the discussion, is to establish biorthogonality > between a vector space and its dual space. The Kronecker delta arises > when given an indexed basis and its indexed dual set (which may or > may not span the dual space), we take inner products of vectors in > the first with vectors in the second. Because of linear independence > in both sets, the inner product will take the value 1 when the vectors > correspond and 0 otherwise. The Kronecker delta, in this case, is a > manifestation of inner products and duality. > > Jon > > > > -- > Sent from: http://friam.471366.n2.nabble.com/ > > - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . > FRIAM Applied Complexity Group listserv > Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam > un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com > archives: http://friam.471366.n2.nabble.com/ > FRIAM-COMIC http://friam-comic.blogspot.com/ >
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