Stability is realization-dependent: some examples

Stability is realization-dependent: some examples

This paper gives some examples with the same impulse response, both approximately controllable and observable, but one of them is exponentially stable and the other is unstable. Some related spectral properties are also investigated.

Some Examples in the Realization of Symmetry

I don't think I have much to teach this audience about string theory as such. What I will do, that I hope is useful, is discuss a few phenomena that have come up in my recent work which are in some way connected to fundamental issues regarding the realization of symmetry in quantum mechanics. My strong impression is that the fundamental symmetry of string theory, or whatever string theory is ev...

Representations : Some Examples

Some Effective Oop Examples

This paper will present two examples that we feel can convince students of the benefits of object-oriented design and spur their interest. Both examples are well-known and fun to program. We first describe a sorting animation. In this project we will ask students to implement animation of various sorting algorithms, and for each sorting algorithm the user can choose one of two methods of animat...

nCal - Some Examples

The function ncal carries out nonlinear calibration, which entails fitting concentration-response curves to sets of samples of known concentrations, also known as standard samples, and using the fitted curves to obtain point estimates and confidence intervals for the analyte concentrations in the samples of interest, also known as the unknown samples. Take Luminex (Defawe et al., 2012) as an ex...