We have derived the star formation history of the Milky Way disk over the last 2 Gyr with a time resolution of 0.05 Gyr from the age distribution diagram of a large sample of open clusters comprising more than 580 objects. By interpreting the age distribution diagram using numerical results from an extensive library of N-body calculations carried out during the last ten years, we reconstruct the recent star formation history of the Milky Way disk. Under the assumption that the disk has never been polluted by any extragalactic stellar populations, our analysis suggests that superimposed on a relatively small level of constant star formation activity mainly in small-N star clusters, the star formation rate has experienced at least 5 episodes of enhanced star formation lasting about 0.2 Gyr with production of larger clusters. This cyclic behavior shows a period of 0.4±0.1 Gyr and could be the result of density waves and/or interactions with satellite galaxies. On the other hand, the star formation rate history from a volume-limited sample of open clusters in the solar neighbourhood appears to be consistent with the overall star formation history obtained from the entire sample. Pure continuous star formation both in

that for large n, and for all Φ’s except a negligible fraction, the following property holds: For every y having a representation y = Φα0 by a coefficient vector α0 ∈ R m with fewer than ρ · n nonzeros, the solution α1 of the ℓ 1 minimization problem min �x�1 subject to Φα = y is unique and equal to α0

This paper uses historical U.S. data to directly estimate the contri-bution of intergenerational transfers to aggregate capital accumula-tion. The evidence presented indicates that intergenerational trans-fers account for the vast majority of aggregate U.S. capital forma-tion; only a negligible

of the distribution, which is indicative of a non-negligible fraction of relatively short, successful runs. A rapid restart strategy eliminates heavy-tailed behavior and takes advantage of short runs, significantly reducing expected solution time. We demonstrate speedups of up to two orders of magnitude on SAT

We consider variance estimation for Horvitz-Thompson type estimated totals based on survey data with imputed nonrespondents and with non-negligible sampling fractions. A method based on a variance decomposition is proposed. Our method can be applied to complicated situations where a composite

probability. Since there is typically little demand for decoders which decrypt only a small fraction of the transmissions (even if it is non-negligible), we further introduce threshold tracing schemes which can only be used against decoders which succeed in decryption with probability greater than some

showed that for linear edge latency functions the price of anarchy is exactly 4 3 under the assumption that each user controls only a negligible fraction of the overall traffic (this result also holds for the splittable case). Note that under the assumption of negligible traffic pure and mixed strategies

fraction of PP requests, little further improve- ment, however, seems likely. 5.4 Experiment D - All PP Overlays on

1 and we place uniform measure on such Φ. We study the underdetermined case where m ∼ An, A> 1 and prove the existence of ρ = ρ(A) and C> 0 so that for large n, and for all Φ’s except a negligible fraction, the following approximate sparse solution property of Φ holds: For every y having

programs fail on a non-negligible fraction of the instances. We discuss several scenarios where such tests are desired and several potential sources for problems instances. We also dicuss the application of this idea for combatting junk mail.