Numerical Pitfalls in Q-Design

Nano(Q)SAR: Challenges, pitfalls and perspectives.

Regulation for nanomaterials is urgently needed, and the drive to adopt an intelligent testing strategy is evident. Such a strategy will not only provide economic benefits but will also reduce moral and ethical concerns arising from animal testing. For regulatory purposes, such an approach is promoted by REACH, particularly the use of quantitative structure-activity relationships [(Q)SAR] as a ...

Common Problems and Pitfalls in Gear Design

Pitfalls of formality in early system design

One of the advantages of using formal methods in design should be that we can be precise about where our methods fail. However, it is rare to nd discussions in the literature of problems in applying formal methods-particularly in the early stages of design. One reason for this is that failures are often caused by the context in which a method is applied, rather than by some purely technical lim...

Common Problems and Pitfalls in Gear Design

The Q-numerical Range and the Real Q-numerical Range of the Shifts

We show that the q-numerical range and the real q-numerical range of the unilateral shift and bilateral shift and their adjoints are the closed unit disc when jqj < 1. We also consider some weighted shifts.