Advanced Form
For a vector space V and subspace W, a shear fixing W translates all vectors parallel to W.
To be more precise, if V is the direct sum of W and W′, and we write vectors as
- v = w + w′
correspondingly, the typical shear fixing W is L where
- L(v) = (w + Mw′) + w ′
where M is a linear mapping from W′ into W. Therefore in block matrix terms L can be represented as
with blocks on the diagonal I (identity matrix), with M above the diagonal, and 0 below.
Read more about this topic: Shear Mapping
Famous quotes containing the words advanced and/or form:
“Predatory capitalism created a complex industrial system and an advanced technology; it permitted a considerable extension of democratic practice and fostered certain liberal values, but within limits that are now being pressed and must be overcome. It is not a fit system for the mid- twentieth century.”
—Noam Chomsky (b. 1928)
“The most brutal, ugly, desperate, vicious form of expression it has been my misfortune to hear.”
—Frank Sinatra (b. 1915)