Modal vectors frequently have small amounts of contamination or distortion from random errors or bias errors, particularly when compared to results from modeling where normal modal vectors are the common result since damping is not included in the model. In order to understand, and possibly eliminate the contamination, tools are needed to evaluate the contamination. While the traditional modal ...

within a language whose only modal operators are the box and the diamond; other modal idioms cannot be expressed within such a language at all. Nonetheless, quantified modal logic has enjoyed considerable success in uncovering and explaining ambiguities in modal sentences and fallacies in modal reasoning. A prime example of this success is the now standard analysis of the distinction between mo...

This paper presents the Fourier and wavelet characterization of vibratio...

In this thesis, we investigate the modal logic of forcing and the modal logic of grounds of generic multiverses. Hamkins and Löwe showed that the ZFC-provable modal principles of forcing, as well as of grounds, are exactly the theorems of the modal logic S4.2 (see [16],[17]). We prove that the modal logic of forcing of any generic multiverse is also exactly S4.2 by showing that any model of ZFC...

Modal logic has a good claim to being the logic of choice for describing the reactive behaviour of systems modeled as coalgebras. Logics with modal operators obtained from so-called predicate liftings have been shown to be invariant under behavioral equivalence. Expressivity results stating that, conversely, logically indistinguishable states are behaviorally equivalent depend on the existence ...

A modal analogue of Lindstrr om's characterization of rst-order logic is proved. Basic modal logics are characterized as the only modal logics that have a notion of nite rank, or, equivalently, as the strongest modal logic whose formulas are preserved under ultra-products over !. Also, basic modal logic is the strongest classical logic whose formulas are preserved under bisimulations and ultra-...

In this work, a new monitoring system is developed for bearing fault detection in high-speed trains. Firstly, data acquisition to collect vibration and other related signals wirelessly. Secondly, multiple correlation analysis (MCA) technique proposed detection. The MCA consists of the three processing steps: (1) collected signal decomposed by variational modal decomposition (VMD) formulate repr...

Recent years, the theory of characteristic modes has emerged as a powerful analysis technique in antenna engineering, providing means to reveal natural resonant properties objects and variety modal parameters. Based on these parameters, advanced techniques have been developed based address wide range electromagnetic radiation, scattering, coupling problems. This review provides an overview some...

Obtaining the modal parameters of a tire with ground contact and rolling conditions represents challenge due to complex vibration characteristic behaviors that cause distortion tire’s symmetry bifurcation phenomena natural frequencies. An in-plane rigid–elastic-coupled model was used examine 200 DOF finite difference method (FDM) analysis accuracy under non-ground non-rotating conditions. The d...

We introduce a new semantics for modal predicate logic, with respect to which a rich class of first-order modal logics is complete, namely all normal first-order modal logics that are extensions of free quantified K. This logic is defined by combining positive free logic with equality PFL . = and the propositional modal logic K. We then uniformly construct—for each modal predicate logic L—a can...