The proximity of (algebraic) geometric programming to linear programming

Geometric programming with (posy)monomials is known to be synonomous with linear programming. This note reduces algebraic programming to geometric programming with (posy)binomials.Partially supported by the Army under research grant DA-AROD-31-124-71-G17.Partially supported by the Northwestern University Urban Systems Engineering Center under research grant #731.     

A semiclassical model for quark jet fragmentation

A semiclassical model is presented for the way the energy of a fast quark is transformed into observable hadrons. It reproduces the features of 1+1 dimensional QED (the Schwinger model) concerning a flat rapidity distribution in the central region. It also reproduces results from phenomenological considerations, which, based upon scaling, predict that meson formation in the fragmentation region can be described by an iterative scheme, implying a set of coupled integral equations. In particular the model predicts that the probability to find a meson containing the leading quark is independent of the Feynman scaling variablez. The iterative structure corresponds to a Brownian motion with relevance both to the confinement problems and to the distribution of mass in the quark jet.     

The interaction of hydrogen with polycrystalline zirconium: II. The effect of preadsorbed oxygen

An investigation into the low temperature (300 to 1000 K) behavior of the hydrogen/polycrystalline zirconium system has revealed an interesting binding state for hydrogen which has a desorption temperature of 500 K. This state involves surface oxygen, believed to be in the form of hydroxyl groups. Furthermore, the surface oxygen appears to attract hydrogen from the metal, suggesting a low energy path for the removal of hydrogen from zirconium.     

A theoretical study on the thermodynamic properties of the formation and decomposition of methyloxirane via triplet mechanisms

Molecular unrestricted Hartree-Fock calculations with geometry optimization have been carried out on eight triplet isomers of C₃H₆O considered to be possible intermediates in the addition of O(³P) atoms to propylene and in the Hg(³P) sensitization of methyloxirane. The computed thermodynamic stabilities reveal that four triplet states are available in the former and eight triplet states are available in the latter reaction. The isomer CH₃?HCH₂? is more stable than ?CHCH₃?H₂. This latter feature gives a satisfactory explanation for the experimental observation that in the O(³P) + C₃H₆ reaction propionaldehyde is the major carbonyl product.     

Production of soft X-ray emitting slow multiply charged ions: Recoil ion spectroscopy

A study of Ne L-shell vacancy production by S^～14+, Cl^～12+ ions has shown copious production of NeIINeVIII excited states with ～10^?18 cm² cross sections and recoil velocities which may permit significantly higher resolution spectroscopy than is possible with beam-foil methods.     

Enhanced Raman-scattering measurements in low-density supersonic flows

Raman scattering, enhanced by a light trapping cell, has been used to measure temperature and density in the inviscid and viscous regions of the flow from an open-jet supersonic nozzle. Raman temperatures and densities in the inviscid regions are in excellent agreement with static temperatures and densities calculated from measurements of stagnation temperature, stagnation pressure and Pitot pressure.     

Optimality conditions in generalized geometric programming

Generalizations of the Kuhn-Tucker optimality conditions are given, as are the fundamental theorems having to do with their necessity and sufficiency.This research was sponsored by the Air Force Office of Scientific Research, Air Force Systems Command, USAF, under Grant No. AFOSR-73-2516.