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Get to know Variational better with 7 real example sentences, the meaning.

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Variational in a sentence

Variational meaning

Of, pertaining to, or caused by variation

Using Variational

  • The main meaning on this page is: Of, pertaining to, or caused by variation
  • In the example corpus, variational often appears in combinations such as: variational form, the variational, variational equations.

Context around Variational

  • Average sentence length in these examples: 24.9 words
  • Position in the sentence: 4 start, 2 middle, 1 end
  • Sentence types: 7 statements, 0 questions, 0 exclamations

Often before:

invariants 1×

Often after:

form 2× equations 2× formulation 1× encoder 1× fermat 1× ansatz 1×

Sentence patterns with Variational

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

in a variational form where 1× in my variational encoder has 1× integral invariants variational equations the 1× of the variational equations 1× of the variational fermat principle 1× potential a variational ansatz for 1× variational formulation of 1× weak or variational form of 1×

Sentence openings and endings

Common sentence openings:

a complete modern 1× an equivalent weak 1× nothing in my 1× poincaré also developed 1× they introduced the 1× variational formulation of 1×

Common sentence endings:

appropriate boundary conditions 1× function is proposed 1× is an extremum 1× is called dinner 1× the asymptotic expansions 1× the two points 1×

Words around Variational

Just before it in the word index:

variation 1.200 variates 6 variants 1.048 variant 1.164 variances 59 variance 335

Just after it in the word index:

variations 1.476 variava 2 varicella 6 varichon 6 varick 6 varicoloured 3

Similar in corpus frequency:

aaba 10 aafc 10 aaib 10 aalbers 10 abbate 10 abbesses 10

Corpus analysis for Variational

  • In this selection, "variational" usually appears near the start of the sentence. The average example has 24.9 words, and this corpus slice is mostly made up of statements.
  • Around the word, invariants, form, equations and formulation stand out and add context to how "variational" is used.
  • Recognizable usage signals include in a variational form where and in my variational encoder has. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "variational" sits close to words such as aaba, aafc and aaib, which helps place it inside the broader word index.

Example types with variational

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

Within this potential, a variational ansatz for the wave function is proposed. (12 words)

Poincaré also developed a general theory of integral invariants and solutions of the variational equations. (15 words)

They introduced the small parameter method, fixed points, integral invariants, variational equations, the convergence of the asymptotic expansions. (18 words)

Longer example sentences

Variational formulation of distance The Euclidean distance between two points in space ( and ) may be written in a variational form where the distance is the minimum value of an integral: : Here is the trajectory (path) between the two points. (39 words)

An equivalent weak or variational form of the equation, proved to produce the same velocity solution as the Navier–Stokes equation, citation is given by, : for divergence-free test functions w satisfying appropriate boundary conditions. (35 words)

A complete modern statement of the variational Fermat principle is that the optical length of the path followed by light between two fixed points, A and B, is an extremum. (30 words)

Example sentences (7)

Variational formulation of distance The Euclidean distance between two points in space ( and ) may be written in a variational form where the distance is the minimum value of an integral: : Here is the trajectory (path) between the two points.

Nothing in my variational encoder has prepared me for repairing a meal which, by the way, in most of the civilized world is called dinner.

A complete modern statement of the variational Fermat principle is that the optical length of the path followed by light between two fixed points, A and B, is an extremum.

An equivalent weak or variational form of the equation, proved to produce the same velocity solution as the Navier–Stokes equation, citation is given by, : for divergence-free test functions w satisfying appropriate boundary conditions.

Poincaré also developed a general theory of integral invariants and solutions of the variational equations.

They introduced the small parameter method, fixed points, integral invariants, variational equations, the convergence of the asymptotic expansions.

Within this potential, a variational ansatz for the wave function is proposed.

Common combinations with variational

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "variational" in a sentence?
An example: "Variational formulation of distance The Euclidean distance between two points in space ( and ) may be written in a variational form where the distance is the minimum value of an integral: : Here is the trajectory (path) between the two points." This page contains 7 example sentences with the word "variational" from authentic English texts.
What does "variational" mean?
Variational means: Of, pertaining to, or caused by variation
How many example sentences with "variational" are there?
Voorbeeldzinnen.info contains 7 example sentences with "variational", drawn from a database of millions of English sentences.