We derive a general expression of the quantum Fisher information for a Mach-Zehnder interferometer, with the port inputs of an arbitrary pure state and a squeezed thermal state. We find that the standard quantum limit can be beaten, when even or odd states are applied to the pure-state port. In particular, when the squeezed thermal state becomes a thermal state, all the even or odd states have ...

In this paper, a new approach is proposed for stress state - dependent flow localization in bifurcation failure model bounded through ductile damage in dynamically loaded sheets. Onset of localized necking is considered in phenomenological way for different strain rates to draw the forming limit diagram (FLD). Using a strain metal hardening exponent in the Vertex theory related to the strain ra...

A theory is developed for local, first-order sensitivity analysis of limit-cycle oscillating hybrid systems, which are dynamical systems exhibiting both continuous-state and discrete-state dynamics whose state trajectories are closed, isolated, and time-periodic. Methods for the computation of initial-condition sensitivities and parametric sensitivities are developed to account exactly for any ...

Benthic macroinvertebrate protocols, in the United States, have been integral implementation of Clean Water Act (33 U.S.C. §1251 et seq. (1972)). The methods these protocols are designed to describe patterns biological water quality and ecological condition relevant legislative oversight, require a tradeoff between taxonomic precision protocol simplicity. global similarity evolutionary response...

This paper discusses state-space methods for analyzing stability of continuous time linear systems subject to structured uncertainties. Four types of uncertainties are discussed: linear parametric and dynamic uncertainties (real and complex) and nonlinear paramet-ric and dynamic uncertainties. The method employs LMIs equipped with a scaling matrix adapted to the type of uncertainty. For para-me...