It also represents the exterior envelope of a cell-centered orthogonal projection of the 120-cell, one of six ( convex regular 4-polytopes ).
32.
This can be described as the orthogonal projection of the data z _ n onto a solution in the form of the polynomial \ hat z ( t ).
33.
For every regular polytope there exists an orthogonal projection onto a plane such that one Petrie polygon becomes a regular polygon with the remainder of the projection interior to it.
34.
Nevertheless it exists, and can be computed numerically in the same way as " g " 2 above, as the orthogonal projection in the Hilbert space.
35.
Four methods of constructing the harmonic function are widely employed : the Perron method; the Schwarz alternating method; the Dirichlet principle; and Weyl's method of orthogonal projection.
36.
Consider the complete ( being a closed subset of a complete space ), and so has a corresponding orthogonal projection which we denote . is bounded, so it is in.
37.
Intuitively, strong incoherence of a matrix U asserts that the orthogonal projections of standard basis vectors to U has magnitudes that have high likelihood if the singular vectors were distributed randomly.
38.
The orthogonal projection P onto the solution space of a random equation of Ax = b is given by Pz = z-\ langle z-x, Z \ rangle Z.
39.
For example, the 5 Platonic solids have 4, 6, and 10-sided regular skew polygons, as seen in these orthogonal projections with red edges around the projective envelope.
40.
They are listed below, along with their Coxeter Dynkin diagram, with each dimensional family drawn as a graphic orthogonal projection in the plane of the Petrie polygon of the regular simplex.
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