Examples of 'arithmetic progressions' in a sentence

Meaning of "arithmetic progressions"

arithmetic progressions: This phrase refers to a sequence of numbers in which the difference between any two consecutive terms remains constant. In mathematics, it is a fundamental concept used to study patterns and relationships between numbers
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  • plural of arithmetic progression

How to use "arithmetic progressions" in a sentence

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arithmetic progressions
Then it contains arbitrarily long arithmetic progressions.
Knowledge of arithmetic progressions is also evident from the mathematical sources.
Dirichlet theorem on primes in arithmetic progressions.
Different properties of arithmetic progressions can be incorporated into school projects.
Then the primes must contain arbitrarily long arithmetic progressions.
The Erdős conjecture on arithmetic progressions in sequences with divergent sums of reciprocals.
This study depends on the distribution of friable integers in arithmetic progressions.
Is also the common difference in arithmetic progressions of fifteen and sixteen primes.
The behavior of the generator may be described using arithmetic progressions.
The family of infinite arithmetic progressions of integers also has the 2-Helly property.
Then one of the colour classes contains arbitrarily long arithmetic progressions.
Which term of the following two arithmetic progressions will have the same value?
Since was arbitrary this implies that contains arbitrarily long arithmetic progressions.
Erdős conjecture on arithmetic progressions.
Two common types of mathematical progressions taught in school are geometric progressions and arithmetic progressions.

See also

Dirichlet theorem on arithmetic progressions.
To understand properties of Dirichlet L-functions, and their relation to primes in arithmetic progressions.
Erdos conjecture on arithmetic progressions.
Linnik 's theorem in analytic number theory answers a natural question after Dirichlet 's theorem on arithmetic progressions.
It has to do with arithmetic progressions.
Primorials play a role in the search for prime numbers in additive arithmetic progressions.
To teach this to students, have them create arithmetic progressions given a common difference.
One of the concepts that used is the study of geometric and arithmetic progressions.
For this purpose, a connection between dirichlet 's theorem on arithmetic progressions and ramsey theory is established.
In particular, the entire set of prime numbers contains arbitrarily long arithmetic progressions.
In other words, for every natural number k, there exist arithmetic progressions of primes with k terms.
The Green-Tao theorem asserts the prime numbers contain arbitrary long arithmetic progressions.
Title, Moments for primes in arithmetic progressions.
Recently, Binbin Zhou proved that the Chen primes contain arbitrarily long arithmetic progressions.
Title, Variance of primes in arithmetic progressions.
Call a subset of natural numbers a.p. - rich if it contains arbitrarily long arithmetic progressions.
Y Dirichlet 's theorem on arithmetic progressions.
Jozsef Beck for tight bounds on the discrepancy of arithmetic progressions.
I shall return to this question of primes in arithmetic progressions in Chapter 4, Section IV.
Problems 39 and 40 compute the division of loaves and use arithmetic progressions.
This theorem states that there are arbitrarily long arithmetic progressions of prime numbers.
Szemerédi 's theorem is a result in arithmetic combinatorics concerning arithmetic progressions in subsets of the integers.

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Examples of using Arithmetic
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Arithmetic turned to anatomy class that quickly
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Examples of using Progressions
We can trace the progressions through a number
Then we have songs and chord progressions
Image progressions from the morphing sequence
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