angular tensor in a sentence
1) For angular velocity tensor maps velocities to positions, it is a vector field.
angular collocations
2) The angular momentum tensor is the generator of boosts and rotations in spacetime, in the Lorentz group.
3) It is possible to prove that angular velocity tensor are skew symmetric matrices which means that a __FORMULA__ satisfies __FORMULA__.
angular tensor example sentences
4) The angular momentum tensor forms 6 of the 10 generators of the Poincaré group, the other four being the components of the four-momentum for spacetime translations.5) This tensor is additive: the total angular momentum of a system is the sum of the angular momentum tensors for each constituent of the system.
6) But it is also used with other bivectors such as the angular velocity tensor and the electromagnetic tensor, respectively a 3×3 and 4×4 skew-symmetric matrix or tensor.
7) This multiplied by vectors on both sides gives the same vector as the product of a vector and bivector; an example is the angular velocity tensor .
8) In general, the angular velocity in an n-dimensional space is the time derivative of the angular displacement tensor which is a second rank skew-symmetric tensor.
9) There are two possible ways to describe the angular velocity of a rotating frame: the angular velocity vector and the angular velocity tensor .
10) where __FORMULA__ is the previous angular velocity tensor .
11) And therefore the angular velocity tensor we are looking for is:
12) We can introduce here the angular velocity tensor associated to the angular speed __FORMULA__:
13) the total angular momentum tensor "Jμν" about the event "Yα":
14) For a particle of rest mass __FORMULA__, the "total" angular momentum tensor is:
15) At any instant, __FORMULA__, the angular velocity tensor represents a linear map between the position vectors __FORMULA__
example sentences with angular tensor
16) (Since cars have reasonable symmetrical shapes, the off-diagonal terms of the angular inertia tensor can usually be ignored.)17) The boost generators and rotation generators can be combined into one generator for Lorentz transformations; the antisymmetric angular momentum tensor , with components:
18) The torque acting on a point-like particle is defined as the derivative of the angular momentum tensor given above with respect to proper time:
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