Magnetic resonance images are typically displayed as the absolute value of the discrete Fourier transform of the k-space data. However, absorption-mode images, the real part of the discrete Fourier transform of the data after applying an appropriate phase correction, have significant advantages over absolute-value images. In a companion paper, the problem of estimating the phase parameters need...

A world-volume model of non-critical 3-brane is quantized in a strong coupling phase where fluctuations of the conformal mode become dominant. This phase, called the conformal-mode dominant phase, is realized at the very high energy far beyond the Planck mass scale. We separately treat the conformal mode and the traceless mode and quantize the conformal mode non-perturbatively, while the tracel...

The problem of (local) static output feedback stabilization for a class of minimum phase relative degree two systems is studied. It is shown that, under natural assumptions, it is possible to design a stabilizing static output feedback control law and to give an estimate of the resulting region of attraction. The general results are illustrated via examples.

Model matching by output feedback is completely treated in the geometric approach framework. Self-bounded controlled invariant subspaces are shown to play a crucial role in the synthesis of minimal-order dynamic regulators achieving model matching by output feedback with stability. The approach provides insight into the internal eigenstructure of the minimal self-bounded controlled invariant su...

We consider quasimodes on planar domains with a partially rectangular boundary. We prove that for any ǫ0 > 0, an O(λ0 ) quasimode must have L mass in the “wings” (in phase space) bounded below by λ for any δ > 0. The proof uses the author’s recent work on 0-Gevrey smooth domains to approximate quasimodes on C domains. There is an improvement for C and C domains.

Molecular dynamics simulations are performed to study the cooling process of quasi-2D liquid carbon. Our results show an obvious liquid-liquid phase transition (LLPT) from the twofold coordinated liquid to the threefold coordinated liquid with the decrease of temperature, followed by a liquid-solid phase transition (LSPT). The LLPT can be regarded as the preparation stage of LSPT. During the co...

Minimum phase uncertain nonlinear systems in output feedback form are considered: they are subject to disturbances and/or uncertainties and are required to track reference signals. Both disturbances and references are generated by an exosystem whose parameters are uncertain. Under the assumption that the regulator problem has a solution, but with no a priori assumption on the required control i...

the effects of isothermal aging at temperatures between 550-850 ?c for durations of 1-100 h on microstructure, tensile properties, and impact fracture behavior of 316l austenitic stainless steel weld metal have been investigated. for this purpose, various techniques including metallographic observations, measurement of ferrite content using ferritscope, and fractographic investigations have bee...

The theory of phase control of coherence, entanglement and quantum steering is developed for an optomechanical system composed of a single mode cavity containing a partially transmitting dielectric membrane and driven by short laser pulses. The membrane divides the cavity into two mutually coupled optomechanical cavities resulting in an effective three-mode closed loop system, two field modes o...