Using integer programming techniques for the solution of an experimental design problem

Latin hypercube sampling is often used to estimate the distribution function of a complicated function of many random variables. In so doing, it is typically necessary to choose a permutation matrix which minimizes the correlation among the cells in the hypercube layout. This problem can be formulated as a generalized, multi-dimensional assignment problem. For the two-dimensional case, we provide a polynomial algorithm. For higher dimensions, we offer effective heuristic and bounding procedures.Supported in part by a grant from the National Institute of Standards and Technology (60NANB9D-0974).Supported in part by grants from the Office of Naval Research (N00014-90-J-1324) and the Air Force Office of Scientific Research (F49 620-90-C-0022).Research partially performed while visiting the Department of Mathematics, Brunel University, Uxbridge, England.     

Ueber den mikrochemischen Nachweis des Asparagins

Ohne Zusammenfassung     

Isoenstrophy points and surfaces in turbulent flow and mixing

Vorticity ω magnitude is measured by the enstrophy field ω². Equations describing the motion of surfaces of constant enstrophy, and lines and points of extreme enstrophy, are derived. The purpose is to develop better tools for studies of small scale processes of turbulence and turbulent mixing.     

Single axial mode Q-switched pulse generation at 1.052 μm by self seeding in a Nd: YAG oscillator

Single axial mode Q-switched pulse generation at 1.052 μm in Nd:YAG by self seeding with free running spikes is discussed. The Nd:YAG, having plane parallel faces without anti-reflection coatings, exhibits modulation-free spikes in the free running regime. By allowing the Q-switching to take place, when the radiation field of any of these pulses is present in the resonator, very reliable and reproducible modulation-free Q-switched pulses are obtained.