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Velocity is contravariant or covariant tensor?
velocity is contravariant tensor becasue displacement tensor is contravariant.
What are tensors?
A vector is a group of numbers in one dimensions; if you have such arrangements of numbers in more than one dimension, you get a tensor. Actually, a vector is simply a special case of a tensor (a 1st-order tensor).
What does Rik equals o2 stand for?
riemann tensor=0 where R=Riemann tensor 0=the surface is flat
What is the difference between tensors and matrices?
A scalar, which is a tensor of rank 0, is just a number, e.g. 6 A vector, which is a tensor of rank 1, is a group of scalars, e.g. [1, 6, 3] A matrix, which is a tensor of rank 2, is a group of vectors, e.g. 1 6 3 9 4 2 0 1 3 A tensor of rank 3 would be a group of matrix and would look like a 3d matrix. A tensor is the general term for all of these, and the generalization into high dimensions.
What were Albert Einsteins 3 contributions to algebra?
· The Famous E=mc2 is the most profound mathematics in the history of the world. It tells us that no matter can travel the speed of light because of the mass that would be needed to generate the speed would slow it down with drag.· The Einstein Field Equations (EFE) is a tensor equation relating a set of symmetric 4 x 4 tensors. Each tensor has 10 independent components. Given the freedom of choice of the four space time coordinates, the independent equations reduce to 6 in number.· The Vacuum Field Equations ,If the energy-momentum tensor Tμν is zero in the region under consideration, then the field equations are also referred to as the vacuum field equations. By setting Tμν = 0 in the full field equations, the vacuum equations can be written asThe solutions to the vacuum field equations are called vacuum solutions. Flat Minkowski space is the simplest example of a vacuum solution. Nontrivial examples include the Schwarzschild solution and the Kerr solution.Manifolds with a vanishing Ricci tensor, Rμν = 0, are referred to as Ricci-flat manifolds and manifolds with a Ricci tensor proportional to the metric as Einstein manifolds.
