Commentary on Heinz Richter - Operation Mercury

Heinz Nixdorf Institute Heinz Nixdorf

Josef Richter

Wolfram F . Richter

The working papers published in the Series constitute work in progress circulated to stimulate discussion and critical comments. Views expressed represent exclusively the authors' own opinions and do not necessarily reflect those of the editors. Die Deutsche Nationalbibliothek verzeichnet diese Publikation in der Deutschen Nationalbibliografie; detaillierte bibliografische Daten sind im Interne...

Heather Richter

INTRODUCTION My research career began as an undergraduate in Software Engineering, exploring formal specification of functional models. My interest in the human aspects of software engineering led me to Human-Computer Interaction (HCI) and Ubiquitous Computing as a graduate student, where I have investigated automated meeting capture and access. I implemented and evaluated prototypes that captu...

On the Invariance Equation for Heinz Means

We solve the so-called invariance equation in the class of Heinz means, that is, we give necessary and sufficient conditions for the constants 0 p,q,r 1 such that the identity Hp(Hq(x,y),Hr(x,y)) = Hp(x,y) (x,y ∈ R+) holds true where the Heinz mean Hp is defined for 0 p 1 as Hp(x,y) = xpy1−p + x1−pyp 2 . The Taylor expansion of the Heinz mean is used. Mathematics subject classification (2010): ...