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[Frank Wimberly]

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 <jonzingale at gmail.com> 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
>
>
>
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