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How do you use Antisymmetric in a sentence? See 10+ example sentences showing how this word appears in different contexts, plus the exact meaning.

Rare word

Antisymmetric in a sentence

Antisymmetric meaning

  1. 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.
  2. Whose sign changes on the application of a matrix transpose or some generalisation thereof:
  3. Whose transpose equals its negative (i.e., Mᵀ = −M);

Using Antisymmetric

  • The main meaning on this page is: 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: | Whose transpose equals its negative (i.e., Mᵀ = −M);
  • In the example corpus, antisymmetric often appears in combinations such as: is antisymmetric, and antisymmetric, antisymmetric under.

Context around Antisymmetric

  • Average sentence length in these examples: 24.3 words
  • Position in the sentence: 1 start, 11 middle, 8 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Often before:

symmetric 2× necessarily 1× covariant 1× versus 1× strictly 1×

Often after:

relation 1× states 1× orbital 1× fermionic 1× tensor 1× eigenstates 1× stretching 1×

Sentence patterns with Antisymmetric

These short patterns come directly from the example sentences and show how the word is often embedded:

as strictly antisymmetric 1× bosonic or antisymmetric fermionic states 1× deuteron is antisymmetric under parity 1× fermions is antisymmetric with respect 1× hand are antisymmetric the entry 1× in an antisymmetric state two 1× initially symmetric antisymmetric it will 1× is an antisymmetric relation 1×

Sentence openings and endings

Common sentence openings:

a more rigorous 1× all 3 components 1× approximated wavefunction of 1× as a result 1× as a simple 1× commutator and cross 1×

Common sentence endings:

additional quantum number 1× an antisymmetric relation 1× an empirical fact 1× antisymmetric and imaginary 1× antisymmetric in general 1× as shown below 1×

Words around Antisymmetric

Just before it in the word index:

antisubmarine 16 antistrophe 3 antistius 2 antispyware 2 antisperm 2 antisocially 3

Just after it in the word index:

antisymmetry 4 antitank 23 antiterrorism 8 antithesis 101 antithetic 5 antithetical 52

Similar in corpus frequency:

aare 29 aarti 29 abl 29 academician 29 acquaint 29 adegboyega 29

Corpus analysis for Antisymmetric

  • In this selection, "antisymmetric" usually appears in the middle of the sentence. The average example has 24.3 words, and this corpus slice is mostly made up of statements.
  • Around the word, symmetric, necessarily, covariant, relation, states and orbital stand out and add context to how "antisymmetric" is used.
  • Recognizable usage signals include as strictly antisymmetric and bosonic or antisymmetric fermionic states. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "antisymmetric" sits close to words such as aare, aarti and abl, which helps place it inside the broader word index.

Example types with antisymmetric

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

Note that this source refers to asymmetric relations as "strictly antisymmetric". ). (11 words)

As a simple example, the divisibility order on the natural numbers is an antisymmetric relation. (15 words)

Equality is also the only relation on a set that is reflexive, symmetric and antisymmetric. (15 words)

Longer example sentences

In the (0, M) -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. (42 words)

The yellow and orange ones, on the other hand, are antisymmetric: The entry for row p, column q is R (resp N) if and only if the entry at row q, column p, is N (resp R). (37 words)

The latter is symmetric if the deuteron is symmetric under parity (i.e. have an "even" or "positive" parity), and antisymmetric if the deuteron is antisymmetric under parity (i.e. have an "odd" or "negative" parity). (36 words)

Example sentences (20)

Approximated wavefunction of the deuteron The deuteron wavefunction must be antisymmetric if the isospin representation is used (since a proton and a neutron are not identical particles, the wavefunction need not be antisymmetric in general).

If the quantum state is initially symmetric (antisymmetric), it will remain symmetric (antisymmetric) as the system evolves.

The latter is symmetric if the deuteron is symmetric under parity (i.e. have an "even" or "positive" parity), and antisymmetric if the deuteron is antisymmetric under parity (i.e. have an "odd" or "negative" parity).

All 3 components of the dipole operator are antisymmetric under inversion with respect to the nucleus, : where is the dipole operator and is the inversion operator.

A more rigorous statement is that the total wave function for two identical fermions is antisymmetric with respect to exchange of the particles.

As a result, it can be regarded as an observable of the system, which means that, in principle, a measurement can be performed to find out if a state is symmetric or antisymmetric.

As a simple example, the divisibility order on the natural numbers is an antisymmetric relation.

Commutator and cross product The commutator of two octonions x and y is given by : This is antisymmetric and imaginary.

Advertentie

Conversely, if the diagonal quantities A(x,x) are zero in every basis, then the wavefunction component : is necessarily antisymmetric.

Equality is also the only relation on a set that is reflexive, symmetric and antisymmetric.

Exchange symmetry The importance of symmetric and antisymmetric states is ultimately based on empirical evidence.

In order to realize an antisymmetric orbital S-state, it is necessary for the quark to have an additional quantum number.

In ordinary quantum mechanics, there is not much theoretical motivation for using symmetric (bosonic) or antisymmetric (fermionic) states, and the need for such states is simply regarded as an empirical fact.

In other words, in an antisymmetric state two identical particles cannot occupy the same single-particle states.

In the (0, M) -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.

It may thus be utilized as an interaction term in a Hamiltonian, splitting the energy eigenvalues of its symmetric versus antisymmetric eigenstates.

Note that this source refers to asymmetric relations as "strictly antisymmetric". ).

Six of these vibrations involve only the CH 2 portion: symmetric and antisymmetric stretching, scissoring, rocking, wagging and twisting, as shown below.

The deuteron, being an isospin singlet, is antisymmetric under nucleons exchange due to isospin, and therefore must be symmetric under the double exchange of their spin and location.

The yellow and orange ones, on the other hand, are antisymmetric: The entry for row p, column q is R (resp N) if and only if the entry at row q, column p, is N (resp R).

Advertentie

Common combinations with antisymmetric

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "antisymmetric" in a sentence?
An example: "Approximated wavefunction of the deuteron The deuteron wavefunction must be antisymmetric if the isospin representation is used (since a proton and a neutron are not identical particles, the wavefunction need not be antisymmetric in general)." This page contains 10+ example sentences with the word "antisymmetric" from authentic English texts.
What does "antisymmetric" mean?
Antisymmetric means: 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.
How many example sentences with "antisymmetric" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "antisymmetric", drawn from a database of millions of English sentences.