antisymmetric tensor वाक्य
उदाहरण वाक्य
मोबाइल
- Antisymmetric tensors of rank 2 play important roles in relativity theory.
- A related concept is that of the antisymmetric tensor or alternating form.
- Similarly one can express elementary symmetric polynomials via traces over antisymmetric tensor powers.
- Here juxtaposition is symmetric respectively antisymmetric multiplication in the symmetric and antisymmetric tensor algebra.
- Where is an arbitrary antisymmetric tensor in indices.
- Mathematically, a Slater determinant is an antisymmetric tensor, also known as a wedge product.
- So the pseudovector "'a "'can be written as an antisymmetric tensor.
- The number of independent components of an antisymmetric tensor is given by entries of Pascal's triangle.
- The relation between the two antisymmetric tensors is given by the moment of inertia which must now be a fourth order tensor:
- The derivative of the relativistic angular momentum with respect to proper time is the relativistic torque, also second order antisymmetric tensor.
- The electromagnetic field tensor is another second order antisymmetric tensor field, with six components : three for the electric field and another three for the magnetic field.
- This can be achieved by replacing the cross product by the exterior product in the language of exterior algebra, and angular momentum becomes a contravariant second order antisymmetric tensor
- There's more that could be said about antisymmetric tensors, but I'll leave it at that .-- talk ) 06 : 00, 11 August 2010 ( UTC)
- Which is only valid in three dimensions, or an antisymmetric tensor field of second order via antisymmetrization of indices, indicated by delimiting the antisymmetrized indices by square brackets ( see Ricci calculus ):
- Where \ omega _ { ij } is the average angular velocity of the rotating particles ( as an antisymmetric tensor rather than a pseudovector ) and \ eta _ r is the rotational viscosity coefficient.
- In three dimensions antisymmetric tensors of rank 0, 1, 2, 3 have 1, 3, 3, 1 components respectively, and they are scalars, vectors, pseudovectors, and pseudoscalars respectively.
- In differential geometry, a " "'p "-vector "'is the antisymmetric tensor obtained by taking linear combinations of the wedge product of " p " tangent vectors, for some integer.
- The angular momentum of a classical pointlike particle orbiting about an axis, defined by "'x "'?"'p "'} }, is another example of a pesudovector, with corresponding antisymmetric tensor:
- An example of a four dimensional second order antisymmetric tensor is the relativistic angular momentum, which has six components : three are the classical angular momentum, and the other three are related to the boost of the center of mass of the system.
- In the-entry of the table, " M " denotes the dimensionality of the underlying vector space or manifold because for each dimension of the space, a separate index is needed to select that dimension to get a maximally covariant antisymmetric tensor.
- अधिक वाक्य: 1 2
antisymmetric tensor sentences in Hindi. What are the example sentences for antisymmetric tensor? antisymmetric tensor English meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.