## Dyadic

A linear Polynomial of Dyads consisting of nine components which transform as

 (1) (2) (3)

Dyadics are often represented by Gothic capital letters. The use of dyadics is nearly archaic since Tensors perform the same function but are notationally simpler.

A unit dyadic is also called the Idemfactor and is defined such that

 (4)

In Cartesian Coordinates,
 (5)

and in Spherical Coordinates
 (6)

See also Dyad, Tetradic

References

Arfken, G. Dyadics.'' §3.5 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 137-140, 1985.

Morse, P. M. and Feshbach, H. Dyadics and Other Vector Operators.'' §1.6 in Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 54-92, 1953.

© 1996-9 Eric W. Weisstein
1999-05-24