We prove that the ordinary generating function of Bell numbers satisfies no algebraic differential equation over C(x) (in fact, over a larger field). We investigate related numbers counting various set partitions (the Uppuluri–Carpenter numbers, the numbers of partitions with j mod i blocks, the Bessel numbers, the numbers of connected partitions, and the numbers of crossing partitions) and pro...

3330. Phone: (206) 543-6715; FAX: (206) 685-7477; email: [email protected]. A Preliminary version of this paper was presented at the Seventh World Congress of the Econometric Society in Tokyo, Japan and at the NBER-NSF Time Series Conference in Cambridge, MA (November, 1995). Partial research support was generously provided by the University of Washington Graduate Research Fund. The autho...

In the context of the recently developed “equation-free” approach to the computerassisted analysis of complex systems, we illustrate the computation of coarsely selfsimilar solutions. Dynamic renormalization and fixed point algorithms for the macroscopic density dynamics are applied to the results of short bursts of appropriately initialized molecular dynamics in a simple diffusion simulation. ...

Failure, the lack of technical and commercial success for a product in the marketplace, is endemic to innovative technologies. Failure is worthy of study if only to better understand success. Historians of business and technology accept this, but tend to focus more on success. This lack of coverage distorts our knowledge of the business process because failure is an integral, if not dominant, t...

BACKGROUND Many managed care organizations use feedback based on electronically maintained claims data to alert physicians to potential treatment problems, including patient medication nonadherence. However, the efficacy of such interventions for improving adherence among patients treated for depression is unknown. METHODS We examined an antidepressant compliance program consisting of faxed a...

Macrogases are defined as two-component, large-scale celestial objects where the subsystems interact only via gravitation. The macrogas equation of state is formulated and compared to the van der Waals (VDW) equation of state for ordinary gases. By analogy, it is assumed that real macroisothermal curves in macrogases occur as real isothermal curves in ordinary gases, where a phase transition (v...

The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a vector potential is studied in the arrangements associated with the AharonovBohm effect. The solution of the Dirac equation showed a change in the velocity of the electron wave packet even in a region where no forces acted on the elec...