Random word

On this page you'll find 6 example sentences with Eigenvector. Discover the meaning, how to use the word correctly in a sentence.

Rare word

Eigenvector in a sentence

Related words

Eigenvector | Eigenvectors

Eigenvector meaning

  1. A vector that is only scaled (not rotated out of its span) under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue).
  2. A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A."

Using Eigenvector

  • The main meaning on this page is: A vector that is only scaled (not rotated out of its span) under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue). | A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A."
  • In the example corpus, eigenvector often appears in combinations such as: the eigenvector, an eigenvector.

Context around Eigenvector

  • Average sentence length in these examples: 20.8 words
  • Position in the sentence: 0 start, 3 middle, 3 end
  • Sentence types: 6 statements, 0 questions, 0 exclamations

Often before:

normalized 1×

Often after:

give 1×

Sentence patterns with Eigenvector

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

a normalized eigenvector i 1× also an eigenvector for that 1× of this eigenvector give the 1× only the eigenvector with the 1× to an eigenvector of the 1× which the eigenvector is scaled 1×

Sentence openings and endings

Common sentence openings:

assuming that the 1× each eigenstate of 1× moreover the eigenvectors 1× the components of 1× the corresponding eigenvalue 1× the weights can 1×

Common sentence endings:

eigenvector is scaled 1× for that eigenvalue 1× in that eigenstate 1× normalized eigenvector i 1× sequence at equilibrium 1× will eventually dominate 1×

Words around Eigenvector

Just before it in the word index:

eigenvalues 37 eigenvalue 20 eigenstates 15 eigenstate 16 eigenspaces 2 eigenmodes 3

Just after it in the word index:

eigenvectors 16 eiger 8 eigg 4 eighmey 2 eight 17.801 eightball 5

Similar in corpus frequency:

aaaaa 8 aage 8 aardvarks 8 abaca 8 abaji 8 abascal 8

Corpus analysis for Eigenvector

  • In this selection, "eigenvector" usually appears in the middle of the sentence. The average example has 20.8 words, and this corpus slice is mostly made up of statements.
  • Around the word, normalized and give stand out and add context to how "eigenvector" is used.
  • Recognizable usage signals include a normalized eigenvector i and also an eigenvector for that. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "eigenvector" sits close to words such as aaaaa, aage and aardvarks, which helps place it inside the broader word index.

Example types with eigenvector

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

The corresponding eigenvalue is the factor by which the eigenvector is scaled. (12 words)

The components of this eigenvector give the relative abundance of each sequence at equilibrium. (14 words)

The weights can be computed from the corresponding eigenvectors: If is a normalized eigenvector (i. (15 words)

Longer example sentences

Assuming that the matrix W is a primitive matrix ( irreducible and aperiodic ), then after very many generations only the eigenvector with the largest eigenvalue will prevail, and it is this quasispecies that will eventually dominate. (35 words)

Each eigenstate of an observable corresponds to an eigenvector of the operator, and the associated eigenvalue corresponds to the value of the observable in that eigenstate. (26 words)

Moreover, the eigenvectors are not unique because any linear combination of eigenvectors for the same eigenvalue is also an eigenvector for that eigenvalue. (23 words)

Example sentences (6)

The corresponding eigenvalue is the factor by which the eigenvector is scaled.

Assuming that the matrix W is a primitive matrix ( irreducible and aperiodic ), then after very many generations only the eigenvector with the largest eigenvalue will prevail, and it is this quasispecies that will eventually dominate.

Each eigenstate of an observable corresponds to an eigenvector of the operator, and the associated eigenvalue corresponds to the value of the observable in that eigenstate.

Moreover, the eigenvectors are not unique because any linear combination of eigenvectors for the same eigenvalue is also an eigenvector for that eigenvalue.

The components of this eigenvector give the relative abundance of each sequence at equilibrium.

The weights can be computed from the corresponding eigenvectors: If is a normalized eigenvector (i.

Common combinations with eigenvector

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "eigenvector" in a sentence?
An example: "The corresponding eigenvalue is the factor by which the eigenvector is scaled." This page contains 6 example sentences with the word "eigenvector" from authentic English texts.
What does "eigenvector" mean?
Eigenvector means: A vector that is only scaled (not rotated out of its span) under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue).
How many example sentences with "eigenvector" are there?
Voorbeeldzinnen.info contains 6 example sentences with "eigenvector", drawn from a database of millions of English sentences.