velocity is contravariant tensor becasue displacement tensor is contravariant.
A zero tensor is a tensor with all entries equal to zero.
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).
riemann tensor=0 where R=Riemann tensor 0=the surface is flat
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.
Yes. Zero velocity is a velocity; if it is always zero then it is a constant velocity.
In mathematics, covariant transformations involve changing the basis vectors, while contravariant transformations involve changing the components of vectors.
The covariant derivative of a tensor in differential geometry is important because it measures how the tensor changes as it moves along a curved space. It is crucial for understanding how quantities like vectors or tensors behave under parallel transport, which is the process of moving them along a curved path without changing their intrinsic properties. The covariant derivative helps us quantify how these quantities change as they are transported along a curved space, providing a way to define and study concepts like curvature and geodesics.
A zero tensor is a tensor with all entries equal to zero.
tensor.
Stress is a tensor because it affects the datum plane. When this is affected and it changes, it is then considered a tensor.
I'm not entirely sure, but I think the tensor contraction over these two tensors should give back the identity. For example: If the resistivity tensor is a 2x2 matrix, then the conductivity tensor is the inverse of this matrix.
We can say current is a zero rank tensor quantity.
The synergist of tensor fascia latae is the gluteus maximus.
Tensors are simply arrays of numbers, or functions, that transform according to certain rules under a change of coordinates. Scalars and vectors are tensors of order 0 and 1 respectively. So a vector is a type of tensor. An example of a tensor of order 2 is an inertia matrix. And just for fun, the Riemann curvature tensor is a tensor of order 4.
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).
riemann tensor=0 where R=Riemann tensor 0=the surface is flat
A person should use a tensor bandage on their ankle if they believe their ankle has been sprained or twisted. The tensor bandage should only be worn when a person is participating in an activity.