orthogonal projection sentence in Hindi
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- Equivalently, can be written as a linear combination of pairwise orthogonal projections, called its "'spectral decomposition " '.
- In, after giving a brief exposition of the method of orthogonal projection and making reference to Weyl's writings, Kodaira explains:
- In accordance with a general approach described in the introduction above ( find "'XS "'which is an orthogonal projection ),
- It can be visualized as a 2-dimensional orthogonal projections, for example the a D 7 Coxeter plane, containing 12-gonal symmetry.
- We can also express the orthogonal projection of f onto W in terms of given local frame \ { f _ k \ } of W,
- These projections are also used to represent spatial figures in two-dimensional drawings ( see oblique projection ), though not as frequently as orthogonal projections.
- The r-coordinate is found by calculating the magnitude of the stress deviator ( the orthogonal projection of the stress state into the deviatoric plane ).
- 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.
- 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
- 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.
- It also represents the exterior envelope of a cell-centered orthogonal projection of the 120-cell, one of six ( convex regular 4-polytopes ).
- 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 ).
- 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.
- Nevertheless it exists, and can be computed numerically in the same way as " g " 2 above, as the orthogonal projection in the Hilbert space.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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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