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Get to know Automorphic better with 9 real example sentences, the meaning.

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Automorphic in a sentence

Automorphic meaning

  1. Describing a mineral, in an igneous rock, that is bounded by its own crystal face; euhedral, idiomorphic.
  2. Describing a number whose square ends in the number itself; circular.
  3. Of or pertaining to automorphy or an automorphism.

Using Automorphic

  • The main meaning on this page is: Describing a mineral, in an igneous rock, that is bounded by its own crystal face; euhedral, idiomorphic. | Describing a number whose square ends in the number itself; circular. | Of or pertaining to automorphy or an automorphism.
  • In the example corpus, automorphic often appears in combinations such as: automorphic forms, of automorphic, automorphic collineations.

Context around Automorphic

  • Average sentence length in these examples: 26.1 words
  • Position in the sentence: 1 start, 4 middle, 4 end
  • Sentence types: 9 statements, 0 questions, 0 exclamations

Often before:

associates 1×

Often after:

forms 4× collineations 2× functions 1× representations 1×

Sentence patterns with Automorphic

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

are called automorphic collineations 1× arising from automorphic forms 1× back to automorphic forms working 1× homographies and automorphic collineations 1× it associates automorphic representations of 1× spaces of automorphic forms in 1× theory of automorphic forms not 1× theory of automorphic functions in 1×

Sentence openings and endings

Common sentence openings:

another type of 1× his first accomplishment 1× however poincaré published 1× in recent years 1× in the theory 1× klein summarized his 1×

Common sentence endings:

about 20 years 1× and automorphic collineations 1× called automorphic collineations 1× calls beyond endoscopy 1× discrete series appeared 1× from automorphic forms 1×

Words around Automorphic

Just before it in the word index:

automobility 2 automobili 3 automobiles 342 automobile 663 automne 13 automl 5

Just after it in the word index:

automorphism 31 automorphisms 15 automotion 2 automotive 1.091 automotives 2 auton 2

Similar in corpus frequency:

aakash 12 aanholt 12 aardwolf 12 abadan 12 abati 12 abcc 12

Corpus analysis for Automorphic

  • In this selection, "automorphic" usually appears in the middle of the sentence. The average example has 26.1 words, and this corpus slice is mostly made up of statements.
  • Around the word, associates, forms, collineations and functions stand out and add context to how "automorphic" is used.
  • Recognizable usage signals include are called automorphic collineations and arising from automorphic forms. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "automorphic" sits close to words such as aakash, aanholt and aardwolf, which helps place it inside the broader word index.

Example types with automorphic

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

Another type of collineation of PG(2,K) is induced by any automorphism of K, these are called automorphic collineations. (20 words)

In the theory of Shimura varieties it associates automorphic representations of other groups to certain l -adic Galois representations as well. (21 words)

In recent years he has turned his attention back to automorphic forms, working in particular on a theme he calls `beyond endoscopy'. (22 words)

Longer example sentences

This has become a major tool in attacking functoriality in general, and in particular has been applied to demonstrating that the Hasse–Weil zeta functions of certain Shimura varieties are among the L -functions arising from automorphic forms. (38 words)

As a second application of this work, he was able to show meromorphic continuation for a large class of L -functions arising in the theory of automorphic forms, not previously known to have them. (34 words)

His first accomplishment in this field was a formula for the dimension of certain spaces of automorphic forms, in which particular types of Harish-Chandra's discrete series appeared. (29 words)

Example sentences (9)

Another type of collineation of PG(2,K) is induced by any automorphism of K, these are called automorphic collineations.

As a second application of this work, he was able to show meromorphic continuation for a large class of L -functions arising in the theory of automorphic forms, not previously known to have them.

His first accomplishment in this field was a formula for the dimension of certain spaces of automorphic forms, in which particular types of Harish-Chandra's discrete series appeared.

However Poincaré published an outline of his theory of automorphic functions in 1881, which led to a friendly rivalry between the two men.

In recent years he has turned his attention back to automorphic forms, working in particular on a theme he calls `beyond endoscopy'.

In the theory of Shimura varieties it associates automorphic representations of other groups to certain l -adic Galois representations as well.

Klein summarized his work on automorphic and elliptic modular functions in a four volume treatise, written with Robert Fricke over a period of about 20 years.

The fundamental theorem of projective geometry says that all the collineations of PG(2,K) are compositions of homographies and automorphic collineations.

This has become a major tool in attacking functoriality in general, and in particular has been applied to demonstrating that the Hasse–Weil zeta functions of certain Shimura varieties are among the L -functions arising from automorphic forms.

Common combinations with automorphic

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "automorphic" in a sentence?
An example: "Another type of collineation of PG(2,K) is induced by any automorphism of K, these are called automorphic collineations." This page contains 9 example sentences with the word "automorphic" from authentic English texts.
What does "automorphic" mean?
Automorphic means: Describing a mineral, in an igneous rock, that is bounded by its own crystal face; euhedral, idiomorphic.
How many example sentences with "automorphic" are there?
Voorbeeldzinnen.info contains 9 example sentences with "automorphic", drawn from a database of millions of English sentences.