Translating the Cantor set by a random

We determine the constructive dimension of points in random translates of the Cantor set. The Cantor set "cancels randomness" in the sense that some of its members, when added to Martin-Lof random reals, identify a point with lower constructive dimension than the random itself. In particular, we find the Hausdorff dimension of the set of points in a Cantor set translate with a given constructive dimension

Purification And Characterization Of Ribouridylyl Terminal Transferase And Ribocytidylyl Terminal Transferase Activities From RNA Tumor Virus-Infected Avian Myeloblasts

Two enzymes, one which catalyzes the addition of one or more cytidine 5'-monophosphate residue from cytidine 5’-triphosphate to the 3'-terminus of a ribonucleic acid primer, referred to as ribocytidylyl terminal transferase, and one which catalyzes the addition of one or more uridine 5’-monophosphate residue from uridine 5'-triphosphate to the 3'-terminus of a ribonucleic acid primer, referred to as ribouridylyl terminal transferase, have been purified from RNA tumor virus-infected avian myeloblasts. The purification procedure involved cation and anion exchange chromatography. Both enzymes were stimulated by the divalent cations Mg++ and Mn++ with optimal concentrations of 0.0001 M Mn++ and between 0.001 M and 0.004 M Mg++. The molecular weight of ribocytidylyl terminal transferase was approximately 60,000 and the molecular weight of ribouridylyl terminal transferase was approximately 56,000

A Hybrid Analysis for Security Protocols with State

Cryptographic protocols rely on message-passing to coordinate activity among principals. Each principal maintains local state in individual local sessions only as needed to complete that session. However, in some protocols a principal also uses state to coordinate its different local sessions. Sometimes the non-local, mutable state is used as a means, for example with smart cards or Trusted Platform Modules. Sometimes it is the purpose of running the protocol, for example in commercial transactions. Many richly developed tools and techniques, based on well-understood foundations, are available for design and analysis of pure message-passing protocols. But the presence of cross-session state poses difficulties for these techniques. In this paper we provide a framework for modeling stateful protocols. We define a hybrid analysis method. It leverages theorem-proving---in this instance, the PVS prover---for reasoning about computations over state. It combines that with an "enrich-by-need" approach---embodied by CPSA---that focuses on the message-passing part. As a case study we give a full analysis of the Envelope Protocol, due to Mark Ryan

Equality between Functionals in the Presence of Coproducts

AbstractWe consider the lambda calculus obtained from the simply typed calculus by adding products, coproducts, and a terminal type. We prove the following theorem: The equations provable in this calculus are precisely those true in any set-theoretic model with an infinite base type

An Agent Allocation System for the West Virginia University Extension Service

Extension recognizes the importance of data in guiding programing decisions at the local level. However, allocating personnel resources and specializations at the state level is a more complex process. The West Virginia University Extension Service has adopted a data-driven process to determine the number, location, and specializations of county agents across the state. While local desires will always be part of the process, new metrics and methods encourage discussion and guide those decisions. The expected result is an improved matching of agents with local needs, thus improving the ability of Extension to fulfill its service mission statewide

Operability of an Ejector Enhanced Pulse Combustor in a Gas Turbine Environment

A pressure-gain combustor comprised of a mechanically valved, liquid fueled pulsejet, an ejector, and an enclosing shroud, was coupled to a small automotive turbocharger to form a self-aspirating, thrust producing gas turbine engine. The system was constructed in order to investigate issues associated with the interaction of pulsed combustion devices and turbomachinery. Installed instrumentation allowed for sensing of distributed low frequency pressure and temperature, high frequency pressure in the shroud, fuel flow rate, rotational speed, thrust, and laboratory noise. The engine ran successfully and reliably, achieving a sustained thrust of 5 to 6 lbf, and maintaining a rotor speed of approximately 90,000 rpm, with a combustor pressure gain of approximately 4 percent. Numerical simulations of the system without pressure-gain combustion indicated that the turbocharger would not operate. Thus, the new combustor represented a substantial improvement in system performance. Acoustic measurements in the shroud and laboratory indicated turbine stage sound pressure level attenuation of 20 dB. This is consistent with published results from detonative combustion experiments. As expected, the mechanical reed valves suffered considerable damage under the higher pressure and thermal loading characteristics of this system. This result underscores the need for development of more robust valve systems for this application. The efficiency of the turbomachinery components did not appear to be significantly affected by unsteadiness associated with pulsed combustion, though the steady component efficiencies were already low, and thus not expected to be particularly sensitive