Equivalently, can be written as a linear combination of pairwise orthogonal projections, called its "'spectral decomposition " '.
22.
In, after giving a brief exposition of the method of orthogonal projection and making reference to Weyl's writings, Kodaira explains:
23.
In accordance with a general approach described in the introduction above ( find "'XS "'which is an orthogonal projection ),
24.
It can be visualized as a 2-dimensional orthogonal projections, for example the a D 7 Coxeter plane, containing 12-gonal symmetry.
25.
We can also express the orthogonal projection of f onto W in terms of given local frame \ { f _ k \ } of W,
26.
These projections are also used to represent spatial figures in two-dimensional drawings ( see oblique projection ), though not as frequently as orthogonal projections.
27.
The r-coordinate is found by calculating the magnitude of the stress deviator ( the orthogonal projection of the stress state into the deviatoric plane ).
28.
Examples include the Petrie polygons, polygonal paths of edges that divide a regular polytope into two halves, and seen as a regular polygon in orthogonal projection.
29.
Using the Hausdorff maximal principle and the fact that in a complete inner product space orthogonal projection onto linear subspaces is well-defined, one may also show that
30.
The idea of the Arnoldi iteration as an eigenvalue algorithm is to compute the eigenvalues of the orthogonal projection of " A " onto the Krylov subspace.
