Dec 13, 2014 · Also, isotropic is always homogeneous but the reverse is not true. And another way to say it all is that an isotropic property is invariant under translation and rotation.

Jul 8, 2017 · In my book, it's been mentioned that crystalline solids are anisotropic whereas amorphous solids are isotropic in nature. The reason for these has been explained (with a diagram) as: …

Nov 7, 2014 · The aim of the isotropic coordinates is to write the metric in the form where the spacelike slices are as close as possible to Euclidean. That is, we try to write the metric in the form:

Mar 31, 2018 · 2 The unit vector r shows that Coulomb's force is parallel to the line joining the charges. It could not be otherwise unless space itself has some built in directional property, for with two point …

Nov 14, 2020 · Hence this leads me to two main questions: How is pascal's law related to the isotropic nature of pressure? How do you prove the isotropic nature of pressure using pascal's law in lack of …

Jul 6, 2022 · Modern cosmology is built on the Friedmann equations, which in turn rely on isotropy — the idea that the universe looks the same in every direction — as a fundamental assumption. However, …

Oct 1, 2024 · Many resources online say that metals are isotropic, in that they have the same properties in all directions, and it is because of their metallic bonds; because metal atoms are treated as point …

Nov 2, 2025 · A fluid at rest is isotropic. The force acting on each plane does not have a preferred direction parallel to the plane, and hence it acts along the plane normal. For this reason the off …

Sep 21, 2019 · The pressure at A is equal to pressure at B since it is at the same level and pressure is isotropic. The pressure at A could be defined as the downward thrust acting on a unit area of cross …

It is sometimes said that the universe is homogeneous and isotropic. What is meant by each of these descriptions? Are they mutually exclusive, or does one require the other? And what implications r...