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Explore Eigenfunctions through 8 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.

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Eigenfunctions in a sentence

Eigenfunctions meaning

plural of eigenfunction

Using Eigenfunctions

  • The main meaning on this page is: plural of eigenfunction
  • In the example corpus, eigenfunctions often appears in combinations such as: eigenfunctions of, the eigenfunctions, are eigenfunctions.

Context around Eigenfunctions

  • Average sentence length in these examples: 18.1 words
  • Position in the sentence: 1 start, 6 middle, 1 end
  • Sentence types: 8 statements, 0 questions, 0 exclamations

Often before:

proper 1×

Often after:

change 1×

Sentence patterns with Eigenfunctions

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

as the eigenfunctions of the 1× choice of eigenfunctions is not 1× function into eigenfunctions for the 1× lacks proper eigenfunctions 1× modes are eigenfunctions of a 1× of the eigenfunctions change slowly 1× system of eigenfunctions for the 1× they are eigenfunctions of the 1×

Sentence openings and endings

Common sentence openings:

complete orthonormal systems 1× further the observation 1× however this choice 1× however unlike the 1× in other words 1× the fourier transform 1×

Common sentence endings:

called the eigenvalues 1× group of translations 1× in functional analysis 1× is not unique 1× is virtually reversible 1× lacks proper eigenfunctions 1×

Words around Eigenfunctions

Just before it in the word index:

eigene 2 eigen 6 eiga 2 eig 7 eiffel 211 eiff 4

Just after it in the word index:

eigenket 2 eigenmann 2 eigenmodes 3 eigenspaces 2 eigenstate 16 eigenstates 15

Similar in corpus frequency:

aargau 11 abacos 11 abboud 11 abbreviate 11 abdelkader 11 abdomens 11

Corpus analysis for Eigenfunctions

  • In this selection, "eigenfunctions" usually appears in the middle of the sentence. The average example has 18.1 words, and this corpus slice is mostly made up of statements.
  • Around the word, proper and change stand out and add context to how "eigenfunctions" is used.
  • Recognizable usage signals include as the eigenfunctions of the and choice of eigenfunctions is not. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "eigenfunctions" sits close to words such as aargau, abacos and abboud, which helps place it inside the broader word index.

Example types with eigenfunctions

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

However, this choice of eigenfunctions is not unique. (8 words)

However, unlike the Hamiltonian, the position operator lacks proper eigenfunctions. (10 words)

The Fourier transform decomposes a function into eigenfunctions for the group of translations. (13 words)

Longer example sentences

Complete orthonormal systems of wave functions appear naturally as the eigenfunctions of the Hamiltonian (of a bound system ) in quantum mechanics that measures the energy levels, which are called the eigenvalues. (31 words)

The idea is that the shapes of the eigenfunctions change slowly and continuously, so that no quantum jump is triggered, and the change is virtually reversible. (26 words)

In other words, the Hermite functions form a complete orthonormal system of eigenfunctions for the Fourier transform on L 2 (R). (21 words)

Example sentences (8)

Complete orthonormal systems of wave functions appear naturally as the eigenfunctions of the Hamiltonian (of a bound system ) in quantum mechanics that measures the energy levels, which are called the eigenvalues.

Further, the observation that sine and cosine satisfies means that they are eigenfunctions of the second-derivative operator.

However, this choice of eigenfunctions is not unique.

However, unlike the Hamiltonian, the position operator lacks proper eigenfunctions.

In other words, the Hermite functions form a complete orthonormal system of eigenfunctions for the Fourier transform on L 2 (R).

The Fourier transform decomposes a function into eigenfunctions for the group of translations.

The idea is that the shapes of the eigenfunctions change slowly and continuously, so that no quantum jump is triggered, and the change is virtually reversible.

These modes are eigenfunctions of a linear operator on a function space, a common construction in functional analysis.

Common combinations with eigenfunctions

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "eigenfunctions" in a sentence?
An example: "Complete orthonormal systems of wave functions appear naturally as the eigenfunctions of the Hamiltonian (of a bound system ) in quantum mechanics that measures the energy levels, which are called the eigenvalues." This page contains 8 example sentences with the word "eigenfunctions" from authentic English texts.
What does "eigenfunctions" mean?
Eigenfunctions means: plural of eigenfunction
How many example sentences with "eigenfunctions" are there?
Voorbeeldzinnen.info contains 8 example sentences with "eigenfunctions", drawn from a database of millions of English sentences.