# arithmetic progression in a sentence

1) The Green-Tao theorem shows that there are arbitrarily long

**arithmetic**

**progressions**consisting of primes.

arithmetic collocations

2) In 1841 he generalized his

**arithmetic**

**progressions**theorem from integers to the ring of Gaussian integers __FORMULA__.

3) The values for the changes in the length of daylight are in the form of an

**arithmetic**

**progression**.

## arithmetic **progression** example sentences

4) If you add a red 9, then the red 3, 6, and 9 are in **arithmetic**

**progression**.

5) In 2004 Ben Green and Terence Tao proved that within the prime numbers you can find arbitrarily long

**arithmetic**

**progressions**.

6) Having classes that have a

**arithmetic**

**progression**of Vancian casting in the same game with classes that lack it entirely.

7) If this necessary condition is satisfied, Dirichlet's theorem on

**arithmetic**

**progressions**asserts that the

**progression**contains infinitely many primes.

8) It is an

**arithmetic**

**progression**and it refers to the very process of life and of the multiplication of the seed.

9) Alternatively, if you add a blue 9, then the blue 1, 5, and 9 are in

**arithmetic**

**progression**.

10) Peter Gustav Lejeune Dirichlet developed Dirichlet "L"-functions to give the proof of Dirichlet's theorem on

**arithmetic**

**progressions**and began analytic number theory.

11) This is the definition of a d+1 dimensional

**arithmetic**

**progression**, so you have a homogenous d+1 dimensional AP.

12) The 0-dimensional

**arithmetic**

**progression**is the single point at index value (L,L,L,L...,L).

13) The boundaries of a D-dimensional AP with benefits are these additional

**arithmetic**

**progressions**of dimension d-1,d-2,d-3,d-4, down to 0.

14) If "b"1·5 + "a"3 is red, then we have found our

**arithmetic**

**progression**: "b"1·5 + "a""i" are all red.

15) Coppersmith, D., Winograd S., "Matrix multiplication via

**arithmetic**

**progressions**", J. Symbolic Comput. 9, p. 251-280, 1990.

### example sentences with **arithmetic** **progression**

16) Let __FORMULA__ denote the number of primes in the **arithmetic**

**progression**"a", "a" + "n", "a" + 2"n", "a" + 3"n", ... less than "x".

17) If "A + A" is barely larger than "A", must "A" have plenty of

**arithmetic**structure, for example, does "A" resemble an

**arithmetic**

**progression**?

18) The theorem can also be restated in the language of combinatorics as the fact that the infinite

**arithmetic**

**progressions**of integers form a Helly family .

19) A "D-dimensional

**arithmetic**

**progression**" consists of

20) and no three integers of the same color form an

**arithmetic**

**progression**.

21) For example, Dirichlet's theorem asserts that in any

**arithmetic**progression

22) Prime number theorem for

**arithmetic**progressions

23) Dirichlet's theorem on

**arithmetic**

**progressions**, in its basic form, asserts that linear polynomials

24) Perhaps the most mathematically notable of these problems is the Erdős conjecture on

**arithmetic**

**progressions**:

25) conjectured what amounts to the prime number theorem and Dirichlet's theorem on

**arithmetic**

**progressions**.

26) Generating Pythagorean Triples Using

**arithmetic**Progressions

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