A relaxed primal-dual path-following algorithm for linear programming

In this paper, we provide an easily satisfied relaxation condition for the primaldual interior path-following algorithm to solve linear programming problems. It is shown that the relaxed algorithm preserves the property of polynomial-time convergence. The computational results obtained by implementing two versions of the relaxed algorithm with slight modifications clearly demonstrate the potential in reducing computational efforts.Partially supported by the North Carolina Supercomputing Center, the 1993 Cray Research Award, and a National Science Council Research Grant of the Republic of China.     

Higher Harmonic Operations of Submillimeter Wave Gyrotrons (Gyrotron FU Series)

Higher harmonic operation of gyrotrons is necessary to obtain high frequencies. Some gyrotrons included in the Gyrotron FU series developed at Fukui University have achieved operation at the third and even fourth harmonics of the electron cyclotron frequency. The output lies in the millimeter to submillimeter wavelength range and the output powers are several watts to several tens of watts. In this paper, the gyrotrons and the conditions under which they operate are described in detail.     

产品开发决策的灵敏性分析

文章着重研究了市场需求服从正态分布时参数估计误差变化对产品开发决策正确性的影响。通过实例分析，得到了处理这类问题的方法。文章进而给出了需求为有限方差与数学期望的一般随机量的处理方法，还给出了对Poisson变量的分析公式。     

A procedure for one-parametric linear programming

A procedure is proposed for the parametric linear programming problem where all the coefficients are linear or polynomial functions of a scalar parameter. The solution vector and the optimum value are determined explicitly as rational functions of the parameter. In addition to standard linear programming technique, only the determination of eigenvalues is required. The procedure is compared to those by Dinkelbach and Zsigmond, and a numerical example is given.     

A passive solar heater-refrigerator

Summary In this paper we study the nonequilibrium thermodynamic steady-state behaviour of a model system representing a core surrounded by an envelope in which the envelope interacts with the solar radiation and with an external bath having a given temperature profile. The heat flow between core and envelope can be controlled by varying the thermal conductivity of their interface. We show that this system acts as a passive heat pump raising the core average temperature with respect to the average equilibrium value corresponding to a fixed value of the interface conductivity, at the same time flattening its oscillation in time. By changing the time dependence of the conductivity the systemvice versa acts as a refrigerator. We show how the limits of this performance depend on the passive parameters such as surfaces, conductivities, heat capacities. The periodicity considered in this study is the daily cycle.

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Riassunto In questo lavoro si studia lo stato stazionario di non equilibrio termodinamico per un sistema che rappresenta modellisticamente un corpo circondato da un involucro; questo interagisce con la radiazione solare e con un bagno termico esterno caratterizzato da una temperatura che dipende dal tempo in modo prefissato. Il flusso di calore fra l'interno e l'involucro è controllato variando la conducibilità termica dell'interfaccia. Noi mostriamo che questo sistema funziona come una pompa di calore passiva, cioè innalza la temperatura media dell'interno rispetto a quella che si avrebbe nel caso di conducibilità fissa e, allo stesso tempo, riduce le oscillazioni di codesta temperatura. Semplicemente cambiando la dipendenza oraria del controllo, il sistema funziona come un frigorifero. Si mostra in che modo tale effetto dipenda dai parametri passivi che sono le superfici, i calori specifici, la conducibilità. Consideriamo in questo studio il ciclo giornaliero.

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Резюме В этой работе мы исследуем неравновесное термодинамическое стационарное поведение модельной системы, представляющей ядро, окруженное оболочкой, которая взаимодействует с солнечным излучением и с внешним термостатом, имейщим заданный профиль температур. Поток тепла между ядром и оболочкой можно контролировать посредством изменения теплопровдности их границы раздела. Мы покзываем, что эта система действует, как пассивный тепловой насос, поднимающий среднюю температуру ядра относительно средней равновесной величины, соответствующей фиксировчнной величине теплопроводности границе раздела, и в то же время сглаживающий осцилляции температуры во времени. Изменяя временную зависимость теплопроводности, описанная система может действовать как холодильник. Мы показываем, как указанный эффект зависит от таких пассивных параметров, как поверхности, проводимости, теплоемкости. Периодичность рассмотренной системы представляет суточный цикл.

     

A superdense star model as charged analogue of Schwarzschild’s interior solution

A charged analogue of Schwarzschilds interior solution has been derived by considering the non-gravitational energy density to be constant along with a special choice of electric intensity. The charged fluid sphere so obtained is seen to be more general than that of P.S. Florides and joins smoothly with the Reissner-Nordström metric at the pressure-free interface. Also the new charged fluid sphere is capable of representing a superdense star with surface density of 2×10¹⁴ g cm^–3 which can occupy maximum mass 1.502408 times the solar mass. In the process of deriving the solution, the authors have also come across A. L. Mehras gaseous charged fluid model which is found to be unphysical as it has negative pressure at least at the center of the model.This revised version was published online in April 2005. The publishing date was inserted.     

The “SKATE” CO2 Gigawatt Laser for a Laser-Plasma Generator of Ions and Nuclei

A set-up of the CO₂ SKATE and its output characteristics are described. The system is based on a self-sustained gas discharge module with x-ray preionization that ensures reliability and stable repetition rate operation at 1 Hz for a long time. Measurement of the initial electron density in the discharge volume produced by an x-ray gun is presented for different gases and their mixtures, which is of independent interest for some applications of x-ray preionization. Data on measurements of the low-intensity signal gain and laser parameters for a free-running generator configuration are presented as well as long-term operation characteristics. This laser system has been used as a CO₂ generator with gigawatt peak intensity and high spatial–temporal characteristics. In particular, the laser can be used as a driver for a source of multicharged ions in contrast to the laboratory prototypes previously investigated.     

Convergence Analysis of an Infeasible Interior Point Algorithm Based on a Regularized Central Path for Linear Complementarity Problems

Most existing interior-point methods for a linear complementarity problem (LCP) require the existence of a strictly feasible point to guarantee that the iterates are bounded. Based on a regularized central path, we present an infeasible interior-point algorithm for LCPs without requiring the strict feasibility condition. The iterates generated by the algorithm are bounded when the problem is a P _* LCP and has a solution. Moreover, when the problem is a monotone LCP and has a solution, we prove that the convergence rate is globally linear and it achieves `-feasibility and `-complementarity in at most O(n ² ln(1/`)) iterations with a properly chosen starting point.     

Algebraic Operations and Generic Effects

Given a complete and cocomplete symmetric monoidal closed category V and a symmetric monoidal V-category C with cotensors and a strong V-monad T on C, we investigate axioms under which an Ob C-indexed family of operations of the form _x :(Tx) ^v (Tx) ^w provides semantics for algebraic operations on the computational -calculus. We recall a definition for which we have elsewhere given adequacy results, and we show that an enrichment of it is equivalent to a range of other possible natural definitions of algebraic operation. In particular, we define the notion of generic effect and show that to give a generic effect is equivalent to giving an algebraic operation. We further show how the usual monadic semantics of the computational -calculus extends uniformly to incorporate generic effects. We outline examples and non-examples and we show that our definition also enriches one for call-by-name languages with effects.