asymptotic density造句

• The conjecture also ascribes an asymptotic density to these primes.
• An analogue of this theorem for lower asymptotic density was obtained by Kneser.
• Perhaps surprisingly, then, the happy numbers do not have an asymptotic density.
• For both problems the asymptotic density should be that given by Kepler's conjecture.
• It follows from the first Hardy Littlewood conjecture that cousin primes have the same asymptotic density as twin primes.
• Indeed, the asymptotic density ( as well as some other types of densities ) is studied in probabilistic number theory.
• *PM : inequality of logarithmic and asymptotic density, id = 7424-- WP guess : inequality of logarithmic and asymptotic density-- Status:
• *PM : inequality of logarithmic and asymptotic density, id = 7424-- WP guess : inequality of logarithmic and asymptotic density-- Status:
• If this probability tends to some limit as " n " tends to infinity, then this limit is referred to as the asymptotic density of " A ".
• This question has also been explored using the notion of ideals : for instance, WilczyD
  ski proved that is sufficient to rearrange only the indexes in the ideal of sets of asymptotic density zero.
• The set of self numbers in a given base " q " is infinite and has a positive asymptotic density : when " q " is odd, this density is 1 / 2.
• As the local density of a packing in an infinite space can vary depending on the volume over which it is measured, the problem is usually to maximise the average or asymptotic density, measured over a large enough volume.
• :: : Because if an arithmetic progressions with difference " d " contained only primes then the asymptotic density of primes would be at least 1 / " d ", which contradicts the prime number theorem . talk ) 09 : 19, 22 August 2010 ( UTC)
• :Basically, ( A ) and ( B ) correspond to two different ways to measure amount, and there is no reason to expect that they would give the same results . ( A ) corresponds to cardinality, and ( B ) corresponds to asymptotic density . 00 : 00, 23 August 2007 ( UTC)
• However, the set of supersingular primes has asymptotic density zero . conjectured that the number of supersingular primes less than a bound " X " is within a constant multiple of \ frac { \ sqrt { X } } { \ ln X }, using heuristics involving the distribution of eigenvalues of the Frobenius endomorphism ., this conjecture is open.
• In one of the advanced problems in the " American Mathematical Monthly ", set in 1991 and solved in 1994, Paul ErdQ
  s pointed out that the function " S " ( " n " ) coincides with the largest prime factor of " n " for " almost all " " n " ( in the sense that the asymptotic density of the set of exceptions is zero ).