antisymmetric in a sentence
1) Antisymmetric tensors of rank 2 play important roles in relativity theory.
2) In the other family it is antisymmetric .
3) For example, let us consider the first higher antisymmetric mode.
antisymmetric example sentences
4) Let __FORMULA__ be an antisymmetric tensor of rank "r".5) The symmetrical and antisymmetric zero-order modes deserve special attention.
6) They are antisymmetric with respect to the other.
7) In other words, a partial order is an antisymmetric preorder.
8) The patterns before and after SFS are antisymmetric .
9) The importance of symmetric and antisymmetric states is ultimately based on empirical evidence.
10) Important examples of such tensors include symmetric and antisymmetric tensors.
11) The electromagnetic field tensor __FORMULA__, a rank-two antisymmetric tensor.
12) Particles which exhibit antisymmetric states are called fermions.
13) We have seen that two equivalent bonds always have symmetric and antisymmetric stretching vibrations.
14) Similarly π is symmetric and π* is antisymmetric with respect to the mirror plane.
15) As opposed to the former, the latter is antisymmetric and a total order.
example sentences with antisymmetric
16) A relation that is reflexive, antisymmetric , and transitive is called a partial order.17) But not every such tensor is a form, as a form must be antisymmetric .
18) This is antisymmetric and imaginary.
19) Nowadays, one recognizes this as a single antisymmetric 2nd-rank tensor field in spacetime.
20) For ranks greater than two, the symmetric or antisymmetric index pairs must be explicitly identified.
21) If R satisfies (a) we say that R is an antisymmetric binary relation.
22) Note this is antisymmetric in b and c, as expected from the left hand side.
23) That is the geometric product is the sum of the symmetric interior product and antisymmetric exterior product.
24) Equivalently, "β" is a totally antisymmetric covariant tensor field of rank "k".
25) Antisymmetric tensors are commonly used to represent rotations (for example, the vorticity tensor).
26) The antisymmetric nature of the cross product can be recast into a tensorial form as follows.
27) True (g) If a relation is irreflexive and transitive, then it is antisymmetric .
28) States where this is a sum are known as symmetric; states involving the difference are called antisymmetric .
How to use antisymmetric in a sentence
29) Some authors require __FORMULA__ to also be antisymmetric , so that the relation is a partial order.30) In other words, in an antisymmetric state two identical particles cannot occupy the same single-particle states.
31) We can construct symmetric and antisymmetric multi-particle states out of continuous eigenstates in the same way as before.
32) The angular velocity can also be defined as an antisymmetric second order tensor, with components "ωij".
33) When there are external lines, the amplitudes are antisymmetric when two Fermi insertions for identical particles are interchanged.
34) Neutrons are fermions and so obey Fermi-Dirac statistics, which implies that the final state is antisymmetric .
35) A binary relation is acyclic if it contains no "cycles": equivalently, its transitive closure is antisymmetric .
36) The structure constants "fabc" are totally antisymmetric in all indices analogous to those of SU(2).
37) A relation that is antisymmetric and transitive on a given domain is said to induce an ordering on that domain.
38) The real case breaks up into two cases, the symmetric and the antisymmetric forms that should be treated separately.
39) A total order is a total preorder which is antisymmetric , in other words, which is also a partial order.
40) Thus the space part of the wavefunction must Likewise for parahydrogen, the spin is antisymmetric and the space part symmetric.
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