Thesis (Ph. D.)--University of Chicago, 1905. / Published also as Astronomiska iakttagelser och undersökningar, band 10, no. 1. Includes bibliographical references.

Th. 3e cycle--Méc. non linéaire et chronométrie--Besançon, 1979. N°: 320.

No description available.

No description available.

Certain single input, linearised extremum controllers of the empirical type described in the literature have been designed and their performances have been compared to that of an approximately optimal controller. The plant is subject to disturbances, lags and measurement noise. A dimensionless performance criterion and description of the plant have been used to present the results. A design procedure for a sinusoidal perturbation controller in connection with the above plant has been obtained, using a linear equivalent circuit for the system together with an experimentally obtained estimate of the equivalent circuit validity. Experimental results have shown that the resulting design is the best, and that the system is likely to remain stable, when the performance of the system is limited mainly by the measurement noise. This empirical controller has been compared with Roberts approximately optimal controller and has been shown to perform equally well if the effect of the lag is small. The performances of three different types of extremum controller have been compared when the plant lags can be neglected. The three controllers use sine wave perturbation, square wave perturbation, and square wave perturbation with a sample and hold unit in the controller. It has been shown that all three the perturbation frequency is infinite. When the perturbation frequency is limited, as in a practical system, the controllers without the sample and hold unit give better performance, at the expense of requiring the adjustment of an additional controller parameter.

Thèse de doctorat : Sciences mathématiques : Paris, Faculté des sciences : 1880. / Titre provenant de l'écran-titre. Notes bibliogr.

Thèse : Analyse : Faculté des sciences de Paris : 1856. Thèse : Astronomie : Faculté des sciences de Paris : 1856. / Titre provenant de l'écran-titre.

No description available.

We present a complete calculation of the photon +1 jet rate in e(^+)e(^-) annihilation up to O(aa(_s)). Although formally of next-to-leading order in perturbation theory, this calculation contains several ingredients appropriate to a next-to-next-to-leading order calculation of jet observables. No such calculation has been performed before, and the work discussed here represents a first step in that direction. In particular, we describe a generalization of the commonly used phase space slicing method to isolate the singularities present when more than one particle is unresolved. More precisely, we provide an analytic evaluation of the following multiple unresolved factors: triple collinear factor, soft/collinear factor and double single collinear factor. By comparing the results of our calculation with the existing data on the photon +1 jet rate from the ALEPH Collaboration at CERN, we make a new determination of the process-independent non-perturbative quark-to-photon fragmentation function D(_q-γ)(z,μ(_F)) at O(aa(_s)). at As a first application of this measurement allied with our improved perturbative calculation, we determine the dependence of the isolated photon -fl jet cross section in a democratic clustering approach on the jet resolution parameter y(_cut) at next-to-leading order. Inclusion of the next-to-leading order corrections to this observable considerably improves the agreement between theoretical prediction and experimental data.

Tsui Lung Kwan = 致密星的準簡正模 : 以微擾方程為基礎之研究 / 徐隆焜. / Thesis submitted in: August 2003. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 98-100). / Text in English; abstracts in English and Chinese. / Tsui Lung Kwan = Zhi mi xing de zhun jian zheng mo : yi wei rao fang cheng wei ji chu zhi yan jiu / Xu Longkun. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Oscillating Stars and Gravitational Waves --- p.1 / Chapter 1.2 --- Outline of the Thesis --- p.3 / Chapter 2 --- Stellar Structure and Mode Classifications --- p.5 / Chapter 2.1 --- Relativistic Stars --- p.5 / Chapter 2.2 --- Equation of State --- p.6 / Chapter 2.3 --- Mode Classifications --- p.9 / Chapter 3 --- Axial w-mode Oscillations --- p.16 / Chapter 3.1 --- Equations of Stellar Oscillations --- p.16 / Chapter 3.2 --- Evaluation of QNMs --- p.18 / Chapter 3.3 --- General features of QNMs --- p.20 / Chapter 4 --- Universal behavior of axial QNMs --- p.22 / Chapter 4.1 --- BBF universal curve --- p.22 / Chapter 4.2 --- Scaled Coordinates --- p.26 / Chapter 4.3 --- Universality of Vrw(r*) inside stars --- p.29 / Chapter 4.3.1 --- Searching for the universality inside stars --- p.29 / Chapter 4.3.2 --- Simple analysis --- p.35 / Chapter 4.3.3 --- The importance of R* --- p.38 / Chapter 5 --- Scaled Coordinates Logarithmic Perturbation Theory --- p.40 / Chapter 5.1 --- The scaled axial oscillation equations --- p.41 / Chapter 5.2 --- The Formalism of SCLPT --- p.41 / Chapter 5.2.1 --- Perturbation parameter --- p.42 / Chapter 5.2.2 --- Perturbation-dependent boundary condition --- p.43 / Chapter 5.2.3 --- The first order perturbation --- p.44 / Chapter 5.2.4 --- The second order perturbation --- p.48 / Chapter 6 --- Cubic-Quintic Model of Neutron Stars --- p.53 / Chapter 6.1 --- Cubic-Quintic Model (CQM) --- p.53 / Chapter 6.2 --- The fluid functions --- p.54 / Chapter 6.3 --- The metric coefficients --- p.56 / Chapter 6.4 --- The tortoise radius R* --- p.58 / Chapter 6.5 --- The QNM frequencies --- p.60 / Chapter 7 --- The Chain of Approximations --- p.63 / Chapter 8 --- Inversion of QNMs --- p.72 / Chapter 8.1 --- The modified SCLPT --- p.72 / Chapter 8.2 --- The Inverting Scheme --- p.76 / Chapter 8.3 --- Application of the Inverting Scheme --- p.79 / Chapter 8.4 --- Improved Inverting Scheme --- p.80 / Chapter 9 --- Conclusion --- p.87 / Chapter 9.1 --- Summary of Our Work --- p.87 / Chapter 9.2 --- Outlook --- p.88 / Chapter A --- Linear and Quadratic Models --- p.90 / Chapter A.1 --- Linear Model (LM): Mass oc r --- p.90 / Chapter A.2 --- Quadratic Model (QM): Mass oc r2 --- p.93 / Chapter B --- The relationship between R* and the mass distribution --- p.96 / Bibliography --- p.98