Notes on equivalent stationary policies in Markov decision processes with total rewards

We construct examples of Markov Decision Processes for which, for a given initial state and for a given nonstationary transient policy, there is no equivalent (randomized) stationary policy, i.e. there is no stationary policy which occupation measure is equal to the occupation measure of a given policy. We also investigate the relation between the existence of equivalent stationary policies in special models and the existence of equivalent strategies in various classes of nonstationary policies in general models.     

An equivalent circuit characterization of power MOSFET accounting for high field and high frequency effects

An equivalent circuit model for analyzing the AC characteristics of power VDMOS transistors is presented. The model accounts for high field and saturation effects. This is achieved by incorporating dependent voltage and current sources in the device model. Results are given for the AC characteristics of a POLYFET F2001 Power VDMOSFET rated with a drain current of 1.4A, power out of 2.5W at 1GHz. The linear, quasi-saturation and saturation regions of the IV characteristics are accounted for in the analysis. The small signal device parasitics are extracted through s-parameter methods. The s-parameter results were used to extract the frequency dependent parasitics including parasitic capacitances, inductances and transconductances.     

Zigzag inequalities: a new class of facet-inducing inequalities for Arc Routing Problems

In this paper we introduce a new class of facet-inducing inequalities for the Windy Rural Postman Problem and the Windy General Routing Problem. These inequalities are called Zigzag inequalities because they cut off fractional solutions containing a zigzag associated with variables with 0.5 value. Two different types of inequalities, the Odd Zigzag and the Even Zigzag inequalities, are presented. Finally, their application to other known Arc Routing Problems is discussed.     

Cycloadditions of non-stabilized azomethine ylides and quinones synthesis of the Reniera isoindole

Azomethine ylides, generated from cyanomethylamino silanes and excess silver fluoride, undergo cycloaddition with quinones to give, after oxidation $\text{in situ}$, quinonoid isoindoles. This reaction provides the key step for a short, high yield synthesis of the $\text{Reniera}$ isoindole 1a.     

Approaches to the isoquinoline quinone antibiotics. Additions of an amino acid derivative to a quinone monoacetal.

The addition of the benzylidine derivative of ethyl glycine to the enone system of a quinone monoacetal and subsequent aromatization provide a high yield preparation of intermediates for the synthesis of isoquinoline quinones.     

Observation of splitting of the E2g mode and two-phonon spectrum in graphites

We have found the two-phonon mode of the disorder-induced line at 1370 cm^-1 for the single crystal and polycrystalline graphites having disorder. The degenerate E_2g mode of the D_6h symmetry for graphite is split for the disordered graphites, having frequencies at 1590 cm^-1 and 1627 cm^-1. Brewster angle measurements using lasers at 6328A and 10.6 μm yield n and k with good consistency even for surfaces with moderate roughness. Our results suggested that distortion of the crystal structure is present.     

Laminar boundary layer oblique shock wave interaction on flat and curved plates

Résumé Ce mémoire décrit quelques recherches expérimentales et théoriques sur l'interaction des ondes de choc obliques avec les couches limites laminaires. Une série de mesures détaillées de pressions et du frottement a été faite dans la région d'interaction dans un écoulement le long d'une plaque plane. Un modèle du mécanisme en a été déduit, dont les prédictions s'accordent raisonnablement bien avec les résultats des expériences. Les mêmes idées ont été appliquées à l'interaction sur une surface courbe, et les résultats s'accordent encore avec les expériences. Une étude simplifiée de la région de stabilité de l'interaction sous l'action d'oscillations de faible amplitude a été faite.

---

---

This work was supported by the National Advisory Committee for Aeronautics Contracts Nos. Naw-6320, 6412, 6452, 6507 and Air Force Contract No. 33-(616-3064) sponsored by the Wright Air Development Center, Wright Patterson Air Force Base.     

Two-photon absorption of optical and x-ray quanta

Two-photon absorption of an optical (laser) and an x-ray quantum is considered within the context of the Born approximation. A simple expression relating the two-photon and one-photon photoionization absorption coefficients is obtained. If the upper state is one of the conduction bands of a solid, the two-photon absorption coefficient is shown to peak at points in the zone for which the curvature of the band is a maximum. Numerical estimates show that with a 100 kW Nd laser, the intensity of the two-photon absorption process is a few percent of that of the one-photon process.     

Efficient quantum circuits for Schur and Clebsch-Gordan transforms

The Schur basis on n d-dimensional quantum systems is a generalization of the total angular momentum basis that is useful for exploiting symmetry under permutations or collective unitary rotations. We present efficient {size poly[n,d,log(1/epsilon)] for accuracy epsilon} quantum circuits for the Schur transform, which is the change of basis between the computational and the Schur bases. Our circuits provide explicit efficient methods for solving such diverse problems as estimating the spectrum of a density operator, quantum hypothesis testing, and communicating without a shared reference frame. We thus render tractable a large series of methods for extracting resources from quantum systems and for numerous quantum information protocols.