# 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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