22 Übersetzungen
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Anwendungsbeispiele Englisch
weitere Beispiele ...
- In 1936, Erdős and Turán conjectured that every set of integers "A" with positive natural density contains a "k" term arithmetic progression for every "k".
- In 1936, Erdős and Turán conjectured that every set of integers "A" with positive natural density contains a "k" term arithmetic progression for every "k".
- In 1936, Erdős and Turán made the weaker conjecture that any set of integers with positive natural density contains infinitely many 3 term arithmetic progressions.
- There is no way to choose a positive integer at random so that each positive integer occurs with equal probability, but statements about "randomly chosen integers" such as the ones above can be formalized by using the notion of "natural density".
- The "theorem of Frobenius" states that for any given choice of Π the primes "p" for which the splitting type of "P" mod "p" is Π has a natural density δ, with δ equal to the proportion of "g" in "G" that have cycle type Π.
- 65%, of all prime numbers are regular, in the asymptotic sense of natural density.
- Even though the natural density of the positive integers for which [...] does not exist, [...] showed that the logarithmic density of these positive integers does exist and is positive.
- We calculate the natural density of these numbers in [...] , that is, the average value of [...] , denoted by [...] , in terms of the zeta function.
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