ABSTRACT Maximum flows are often estimated from flood frequency analysis, by means of the statistical fitting a theoretical probability distribution to maximum annual flow data. However, because limitations imposed practice at-site measurement, empirical models applied as rating curve for estimating streamflow. These curves approximations actual and incorporate different sources uncertainty, es...

We investigate dynamical systems with time-dependent mass and frequency, with particular attention on models attaining the minimum value of uncertainty formula. A criterium of minimum uncertainty is presented and illustrated by means of explicit and exactly solved examples. The role of the Bogolubov coefficients, in general and in the context of minimum uncertainty case, is discussed. PACS: 03....

Aided by ultrahigh resolution spectroscopy, the overall systematic uncertainty of the 1S0-3P0 clock resonance for lattice-confined 87Sr has been characterized to 9 x 10(-16). This uncertainty is at a level similar to the Cs-fountain primary standard, while the potential stability for the lattice clocks exceeds that of Cs. The absolute frequency of the clock transition has been measured to be 42...

it was claimed that human hearing can beat the Fourier uncertainty principle. In this Comment, we demonstrate that the experiment designed and implemented in the original article was ill-chosen to test Fourier uncertainty in human hearing. The Gabor limit [1], ∆t∆f ≥ 1 4π , (1) refers to the lower bound on the product of the standard deviations (STD) in time (∆t) and frequency (∆f) of an audio ...

We review the quaternionic Fourier transform (QFT). Using the properties of the QFT we establish an uncertainty principle for the right-sided QFT. This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion-valued signals in the spatial and frequency domains. It is shown that only a Gaussian quaternion signal minimizes the uncertainty.

In this paper we study frequency dependent error bounds for comparison and simpliication of models with uncertainty. The uncertainty is described by quadratic constraints and the error bounds are calculated based on solutions to linear matrix inequalities.