Examples of 'antisymmetric' in a sentence
Meaning of "antisymmetric"
antisymmetric (adjective): Used in mathematics to describe a relation R on a set X if whenever xRy is true, then yRx is false for all x, y in X. It is commonly used in algebra, geometry, and logic to represent a specific type of symmetry
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- Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.
- Whose sign changes on the application of a matrix transpose or some generalisation thereof:
- That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);
- For which B(w,v) = -B(v,w).
How to use "antisymmetric" in a sentence
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antisymmetric
They are antisymmetric with respect to the other.
Partial orders and total orders are antisymmetric.
Antisymmetric spin and antisymmetric under parity.
Eld a obtained from the antisymmetric tensor.
A further antisymmetric field could be added.
Every alternating multilinear map is antisymmetric.
Particles which exhibit antisymmetric states are called fermions.
Antisymmetric with respect to all particles.
The result of the exterior product is an antisymmetric tensor.
These compact antisymmetric states are only partially stable.
For fermions the wavefunction is antisymmetric.
The totally antisymmetric fourth rank tensor is defined.
The latter is defined only for an antisymmetric tensor.
Antisymmetric between the two sides of the stator.
This forces the wavefunction to be antisymmetric under particle interchange.
See also
The divergences are equal only if the tensor is symmetric or antisymmetric.
There is the completely antisymmetric symbol in the three indices.
In the theory of quantum mechanics fermions are described by antisymmetric states.
Particles with wave functions antisymmetric under exchange are called fermions.
Important examples of such tensors include symmetric and antisymmetric tensors.
Completely antisymmetric tensor.
In the other family it is antisymmetric.
It is antisymmetric if for all.
A relation is asymmetric if and only if it is both antisymmetric and irreflexive.
In this way an antisymmetric stiffness matrix is obtained for the beam element.
This mode is called antisymmetric.
The role of the antisymmetric epsilon pseudotensor in dimensional regularization is briefly discussed.
We now need to show it is antisymmetric.
A bivector is an element of the antisymmetric tensor product of a tangent space with itself.
Any matrix can be decomposed into the sum of a symmetric matrix and an antisymmetric matrix.
It is antisymmetric in a and b.
Then is said to be antisymmetric if.
The lowest order antisymmetric contribution agrees quite well with available theoretical calculations.
Any matrix may be written as the sum of an antisymmetric matrix and a symmetric matrix.
Antisymmetric matrices can also be produced by the Paley construction.
Similarly one can express elementary symmetric polynomials via traces over antisymmetric tensor powers.
The symmetric and antisymmetric combinations in Eqs.
An antisymmetric wave function can be mathematically described using the Slater determinant.
Bell States are either symmetric or antisymmetric with respect to the subsystems.
This source refers to asymmetric relations as " strictly antisymmetric.
In odd dimensions, antisymmetric matrices are not invertible.
Paley digraphs are directed analogs of Paley graphs that yield antisymmetric conference matrices.
Antisymmetric tensors of rank 2 play important roles in relativity theory.
The Levi-Civita totally antisymmetric tensor.
An antisymmetric preorder is a partial order, and a symmetric preorder is an equivalence relation.
Can be shared into a symmetric and an antisymmetric part,.
The symmetrical and antisymmetric zero-order modes deserve special attention.
A tournament is a complete and antisymmetric relation1.
Antisymmetric tensors are commonly used to represent rotations for example, the vorticity tensor.
This compatibility condition is neither transitive, symmetric nor antisymmetric.
