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Transverse Isotropy is observed in sedimentary rocks at long wavelengths. Each layer has approximately the same properties in-plane but different properties through-the-thickness. The plane of each layer is the plane of isotropy and the vertical axis is the axis of symmetry.
Horizontal transverse isotropy (HTI), transverse isotropy with a horizontal axis of symmetry, is associated with cracks and fractures and is found where regional stress is the dominant factor. The transverse anisotropic matrix has the same form as the isotropic matrix, except that it has five non-zero values distributed among 12 non-zero elements.
Isotropy group An isotropy group is the group of isomorphisms from any object to itself in a groupoid. [dubious – discuss] [1] An isotropy representation is a representation of an isotropy group. Isotropic position A probability distribution over a vector space is in isotropic position if its covariance matrix is the identity. Isotropic ...
Hughes–Drever experiments (also clock comparison-, clock anisotropy-, mass isotropy-, or energy isotropy experiments) are spectroscopic tests of the isotropy of mass and space. Although originally conceived of as a test of Mach's principle , they are now understood to be an important test of Lorentz invariance .
But now—thanks to a study published in the journal Geophysical Research Letters—we can see that, in less than two decades, Earth has tilted 31.5 inches as a result of pumping groundwater. This ...
Pages for logged out editors learn more. Contributions; Talk; Transversely isotropic
While the finite sizes of atoms and bonding considerations ensure that true isotropy of atomic position will not exist in the solid state, it is possible for measurements of a given property to yield isotropic results, either due to the symmetries present within a crystal system, or due to the effects of orientational averaging over a sample (e ...
The two dashed paths shown above are homotopic relative to their endpoints. The animation represents one possible homotopy. In topology, two continuous functions from one topological space to another are called homotopic (from Ancient Greek: ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a ...