Infinitesimal transformation
Limiting form of small transformation / From Wikipedia, the free encyclopedia
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In mathematics, an infinitesimal transformation is a limiting form of small transformation. For example one may talk about an infinitesimal rotation of a rigid body, in three-dimensional space. This is conventionally represented by a 3×3 skew-symmetric matrix A. It is not the matrix of an actual rotation in space; but for small real values of a parameter ε the transformation
This article may be too technical for most readers to understand. (September 2010) |
is a small rotation, up to quantities of order ε2.