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Get to know Combinatorics better with 10+ real example sentences, the meaning.

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Combinatorics in a sentence

Combinatorics meaning

a branch of mathematics that studies (usually finite) collections of objects that satisfy specified criteria

Using Combinatorics

  • The main meaning on this page is: a branch of mathematics that studies (usually finite) collections of objects that satisfy specified criteria
  • In the example corpus, combinatorics often appears in combinations such as: in combinatorics, combinatorics main, and combinatorics.

Context around Combinatorics

  • Average sentence length in these examples: 20.2 words
  • Position in the sentence: 8 start, 6 middle, 6 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Often before:

infinitary 2× main 1× learned 1× additive 1× algebraic 1× studies 1× arithmetic 1× finite 1× advanced 1× enumerative 1×

Often after:

main 3× studies 2× refers 1×

Sentence patterns with Combinatorics

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

additive combinatorics refers to 1× algebraic combinatorics is continuously 1× and bars combinatorics the roles 1× arithmetic combinatorics main let 1× combinatorics and dynamical 1× combinatorics main combinatorics 1× combinatorics main combinatorics studies the 1× combinatorics studies ways 1×

Sentence openings and endings

Common sentence openings:

a mathematician who 1× additive combinatorics refers 1× algebraic combinatorics is 1× another occurrence of 1× applications formal power 1× arithmetic combinatorics main 1×

Common sentence endings:

to infinite sets 2× a given structure 1× another emerging field 1× can be shuffled 1× combined or arranged 1× comtet advanced combinatorics 1×

Words around Combinatorics

Just before it in the word index:

combinatorial 73 combinator 28 combinations 722 combinational 12 combination 4.234 combinable 3

Just after it in the word index:

combinatory 5 combine 1.734 combined 6.061 combiner 6 combines 909 combing 92

Similar in corpus frequency:

aar 34 abdulla 34 abimbola 34 abp 34 accommodative 34 accoutrements 34

Corpus analysis for Combinatorics

  • In this selection, "combinatorics" usually appears near the start of the sentence. The average example has 20.2 words, and this corpus slice is mostly made up of statements.
  • Around the word, infinitary, main, learned, main, studies and refers stand out and add context to how "combinatorics" is used.
  • Recognizable usage signals include additive combinatorics refers to and algebraic combinatorics is continuously. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "combinatorics" sits close to words such as aar, abdulla and abimbola, which helps place it inside the broader word index.

Example types with combinatorics

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

Arithmetic combinatorics main Let A be a set of N integers. (11 words)

Graph theory Petersen graph main Graphs are basic objects in combinatorics. (11 words)

A mathematician who studies combinatorics is called a combinatorialist or a combinatorist. (12 words)

Longer example sentences

On Twitter and in the comments on The Times’s website, it was clear that some readers knew immediately how to solve the problem because they had learned combinatorics, an area of math that figures out the number of ways things can be shuffled. (44 words)

Another occurrence of this number is in combinatorics, where it gives the number of ways, disregarding order, that k objects can be chosen from among n objects; more formally, the number of k-element subsets (or k- combinations ) of an n-element set. (43 words)

Algebraic combinatorics is continuously expanding its scope, in both topics and techniques, and can be seen as the area of mathematics where the interaction of combinatorial and algebraic methods is particularly strong and significant. (34 words)

Example sentences (20)

Infinitary combinatorics main Infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets.

Combinatorics main Combinatorics studies the way in which discrete structures can be combined or arranged.

On Twitter and in the comments on The Times’s website, it was clear that some readers knew immediately how to solve the problem because they had learned combinatorics, an area of math that figures out the number of ways things can be shuffled.

Additive combinatorics refers to the special case when only the operations of addition and subtraction are involved.

Algebraic combinatorics is continuously expanding its scope, in both topics and techniques, and can be seen as the area of mathematics where the interaction of combinatorial and algebraic methods is particularly strong and significant.

A mathematician who studies combinatorics is called a combinatorialist or a combinatorist.

Another occurrence of this number is in combinatorics, where it gives the number of ways, disregarding order, that k objects can be chosen from among n objects; more formally, the number of k-element subsets (or k- combinations ) of an n-element set.

Applications Formal power series can be used to solve recurrences occurring in number theory and combinatorics.

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Arithmetic combinatorics main Let A be a set of N integers.

Combinatorial set theory main Combinatorial set theory concerns extensions of finite combinatorics to infinite sets.

Combinatorics and dynamical systems Combinatorial aspects of dynamical systems is another emerging field.

Combinatorics studies ways of enumerating the number of objects that fit a given structure.

Connection with Stirling numbers of the second kind If denotes Stirling numbers of the second kind L. Comtet, Advanced combinatorics.

Coxeter's analysis in The Fifty-Nine Icosahedra introduced modern ideas from graph theory and combinatorics into the study of polyhedra, signalling a rebirth of interest in geometry.

Fibonacci numbers is the basic example of a problem in enumerative combinatorics.

Graph theory Petersen graph main Graphs are basic objects in combinatorics.

He made numerous contributions to the study of topology, graph theory, calculus, combinatorics, and complex analysis, as evidenced by the multitude of theorems and notations named for him.

In the article Stars and bars (combinatorics) the roles of n and k are reversed.

In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right.

It is a special case of a more general object in combinatorics.

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Common combinations with combinatorics

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "combinatorics" in a sentence?
An example: "Infinitary combinatorics main Infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets." This page contains 10+ example sentences with the word "combinatorics" from authentic English texts.
What does "combinatorics" mean?
Combinatorics means: a branch of mathematics that studies (usually finite) collections of objects that satisfy specified criteria
How many example sentences with "combinatorics" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "combinatorics", drawn from a database of millions of English sentences.