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On concentration and inertia ellipsoids
concentration ellipsoid correlation ellipsoid ellipsoid of residuals
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2010/9/14
We review the known intricate connections between the concentration ellipsoid of statistics [1, 2] and the inertia ellipsoid of mechanics [3, 4]. We then contribute a new relationship involving the ec...
On the relationship between concentration and inertia hyperellipsoids
concentration hyperellipsoid correlation hyperellipsoid
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2010/9/10
We extend the known intricate connections between the concentration ellipsoid of statistics [1, 2] and the inertia ellipsoid of mechanics [3, 4] from three to n dimensions. We then also extend the rel...
Computing of signs of eigenvalues for diagonally dominant matrix for inertia problem
Eigenvalue Inertia Diagonally Dominant Matrix
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2010/9/13
In this paper we present two theorems for computing of inertia of Diagonally Dominant Matrix and show a good relation between the inertia theorem and the signs of diagonal entries of the diagonally do...
The polar moment of inertia of the projection curve
polar moment of inertia homothetic motion orthogonal projection
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2008/12/26
H. R. MÄuller, [2], had studied the polar moment of inertia
for the orbit curves during the one-parameter closed planar motions and
the area of the projection curve, [3], under the spatial kine...
The Inertia of Hermitian Tridiagonal Block Matrices
Tridiagonal Block Matrices Hermitian Matrices Inertia Patterned Matrix
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2008/6/26
Let H be a partitioned tridiagonal Hermitian matrix. We characterized the possible inertias of H by a system of linear inequalities involving the orders of the blocks, the inertia of the diagonal bloc...