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Get to know Ultraproduct better with 2 real example sentences, the meaning.

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Ultraproduct in a sentence

Ultraproduct meaning

A quotient of the direct product of a family of structures

Using Ultraproduct

  • The main meaning on this page is: A quotient of the direct product of a family of structures

Context around Ultraproduct

  • Average sentence length in these examples: 20 words
  • Position in the sentence: 2 start, 0 middle, 0 end
  • Sentence types: 2 statements, 0 questions, 0 exclamations

Often before:

principal 1×

Often after:

construction 1×

Sentence patterns with Ultraproduct

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

non principal ultraproduct of finite 1× the ultraproduct construction in 1×

Sentence openings and endings

Common sentence openings:

for example a 1× the ultraproduct construction 1×

Common sentence endings:

extensions of structures 1× of any degree 1×

Words around Ultraproduct

Just before it in the word index:

ultraprocessed 7 ultrapro 6 ultrapower 3 ultraportable 6 ultrapeers 3 ultrapeer 4

Just after it in the word index:

ultrapure 5 ultrarelativistic 2 ultrarich 6 ultrarunner 2 ultrarunning 4 ultras 34

Similar in corpus frequency:

aabb 4 aabria 4 aacha 4 aacta 4 aadu 4 aafmaa 4

Corpus analysis for Ultraproduct

  • In this selection, "ultraproduct" usually appears near the start of the sentence. The average example has 20 words, and this corpus slice is mostly made up of statements.
  • Around the word, principal and construction stand out and add context to how "ultraproduct" is used.
  • Recognizable usage signals include non principal ultraproduct of finite and the ultraproduct construction in. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "ultraproduct" sits close to words such as aabb, aabria and aacha, which helps place it inside the broader word index.

Example types with ultraproduct

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 ultraproduct construction in model theory uses ultrafilters to produce elementary extensions of structures. (14 words)

For example, a non-principal ultraproduct of finite fields is a pseudo finite field; i.e., a PAC field having exactly one extension of any degree. (26 words)

Longer example sentences

For example, a non-principal ultraproduct of finite fields is a pseudo finite field; i.e., a PAC field having exactly one extension of any degree. (26 words)

The ultraproduct construction in model theory uses ultrafilters to produce elementary extensions of structures. (14 words)

Example sentences (2)

For example, a non-principal ultraproduct of finite fields is a pseudo finite field; i.e., a PAC field having exactly one extension of any degree.

The ultraproduct construction in model theory uses ultrafilters to produce elementary extensions of structures.

Frequently asked questions

How do you use "ultraproduct" in a sentence?
An example: "For example, a non-principal ultraproduct of finite fields is a pseudo finite field; i.e., a PAC field having exactly one extension of any degree." This page contains 2 example sentences with the word "ultraproduct" from authentic English texts.
What does "ultraproduct" mean?
Ultraproduct means: A quotient of the direct product of a family of structures
How many example sentences with "ultraproduct" are there?
Voorbeeldzinnen.info contains 2 example sentences with "ultraproduct", drawn from a database of millions of English sentences.