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On this page you'll find 7 example sentences with Meromorphic. Discover the meaning, how to use the word correctly in a sentence.

Rare word

Meromorphic in a sentence

Meromorphic meaning

That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points).

Using Meromorphic

  • The main meaning on this page is: That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points).
  • In the example corpus, meromorphic often appears in combinations such as: meromorphic functions, meromorphic function, is meromorphic.

Context around Meromorphic

  • Average sentence length in these examples: 23.6 words
  • Position in the sentence: 0 start, 6 middle, 1 end
  • Sentence types: 7 statements, 0 questions, 0 exclamations

Often before:

show 1× generally 1×

Often after:

functions 3× function 3× continuation 1×

Sentence patterns with Meromorphic

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

into a meromorphic function on 1× is a meromorphic function on 1× is a meromorphic function with 1× more generally meromorphic functions 1× of all meromorphic functions defined 1× that are meromorphic functions of 1× to show meromorphic continuation for 1×

Sentence openings and endings

Common sentence openings:

complex analysis is 1× consider the resolvent 1× dimensional regularization is 1× given a riemann 1× namely the function 1× thus the gamma 1×

Common sentence endings:

called the dimension 1× compactified complex plane 1× generally meromorphic functions 1× space of matrices 1× the nonpositive integers 1×

Words around Meromorphic

Just before it in the word index:

meromictic 2 merola 5 meroitic 3 merogony 2 meroe 4 merodach 3

Just after it in the word index:

meron 19 meronk 2 meropa 4 merope 11 meropide 2 meros 2

Similar in corpus frequency:

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

Corpus analysis for Meromorphic

  • In this selection, "meromorphic" usually appears in the middle of the sentence. The average example has 23.6 words, and this corpus slice is mostly made up of statements.
  • Around the word, show, generally, functions, function and continuation stand out and add context to how "meromorphic" is used.
  • Recognizable usage signals include into a meromorphic function on and is a meromorphic function on. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "meromorphic" sits close to words such as aaba, aafc and aaib, which helps place it inside the broader word index.

Example types with meromorphic

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

Namely, the function f extends into a meromorphic function : on the compactified complex plane. (14 words)

Complex analysis is particularly concerned with analytic functions of complex variables (or, more generally, meromorphic functions ). (16 words)

Consider the resolvent function : which is a meromorphic function on the complex plane with values in the vector space of matrices. (21 words)

Longer example sentences

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)

Dimensional regularization is a method for regularizing integrals in the evaluation of Feynman diagrams; it assigns values to them that are meromorphic functions of an auxiliary complex parameter d, called the dimension. (32 words)

Thus, the gamma function must be undefined at those points to avoid division by zero ; it is a meromorphic function with simple poles at the nonpositive integers. (27 words)

Example sentences (7)

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.

Complex analysis is particularly concerned with analytic functions of complex variables (or, more generally, meromorphic functions ).

Consider the resolvent function : which is a meromorphic function on the complex plane with values in the vector space of matrices.

Dimensional regularization is a method for regularizing integrals in the evaluation of Feynman diagrams; it assigns values to them that are meromorphic functions of an auxiliary complex parameter d, called the dimension.

Given a Riemann surface M, the set of all meromorphic functions defined on M is a field, denoted by C(M).

Namely, the function f extends into a meromorphic function : on the compactified complex plane.

Thus, the gamma function must be undefined at those points to avoid division by zero ; it is a meromorphic function with simple poles at the nonpositive integers.

Common combinations with meromorphic

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "meromorphic" in a sentence?
An example: "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." This page contains 7 example sentences with the word "meromorphic" from authentic English texts.
What does "meromorphic" mean?
Meromorphic means: That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points).
How many example sentences with "meromorphic" are there?
Voorbeeldzinnen.info contains 7 example sentences with "meromorphic", drawn from a database of millions of English sentences.