Studying the interaction between a system's components and the temporal evolution of the system are two common ways to uncover and characterize its internal workings. Recently, several maps from a time series to
The relationship between structure and function is fundamental in complex systems1,2,3, and important efforts have been invested in developing network models to better understand it. In particular, models of dynamics on networks4,5,6,7have been proposed to assess the influence of network structure...
The relationship between structure and function is fundamental in complex systems1,2,3, and important efforts have been invested in developing network models to better understand it. In particular, models of dynamics on networks4,5,6,7have been proposed to assess the influence of network structure...
The linear estimation (or optimal control) problem in the emerging area of time-delay systems, multiplicative noise systems, and Markov jump linear systems has been taken into consideration by the control engineers. The purpose of this survey is to provide a review of duality between linear estima...
If a full remote patchbay is being provided then the ducting between the console and the patch racks will need to be of sufficient size to accommodate the following numbers of cables: 24 channel remote patch will require 38 off 11mm diameter cables 48 channel remote patch will require 56 off...
14, is the appearance of holographic screens. A holographic screen is a codimension one surface (the ‘screen’) in the bulk that carries all information contained in the region enclosed between the surface and the boundary. (Even if DOFs inside this region are lost, all its information ...
This non-locality of information storage within the hologram is crucial, because even if most parts are damaged, the entirety will be contained within even a single remaining part of sufficient size. Pribram and others noted the similarities between an optical hologram and memory storage in the hu...
First, a combination of time series and cluster analysis is used on smart meter data to build patterns for demand models. Second, point and interval estimates of pipe roughnesses are retrieved using least squares to calibrate the hydraulic model, utilizing the demand models from the first step....
This exhibits some duality between weak and strong couplings and can be used to understand the critical point of the Ising model [32, 33] (see also [16, 17]). However, the disorder fields µ are not local operators in the theory alone, but have to be accompanied by a topological "...
We then derive a number of interesting properties of the set B which shed light on the connection between the reflection mapping tech- nique of [22] and the geometric approach. We discuss why the reflection mapping approach is limited to the class of SPs we have labeled the gen- eralized ...