We generalize Reimer’s Inequality [6] (a.k.a the BKR Inequality or the van den Berg–Kesten Conjecture [1]) to the setting of finite distributive lattices. (MSC 60C05)

2 Acknowledgements The completion of this master thesis would not have come about without the help and encouragement of several people. They should not be left unmen-tioned. First of all, I would like to thank Jan van den Berg, the supervisor of this thesis, for his guidance and for the many helpful suggestions and comments he made regarding the thesis. I am also grateful to Ludo Waltman, a ver...

Note: Contribution to ‘Augustine and Manichaean Christianity’, the First South African Symposium on Augustine of Hippo, University of Pretoria, 24−26 April 2012. Dr Jacob van den Berg is participating as research fellow of Prof. Dr Hans van Oort, Professor Extraordinarius in the Department of Church History and Polity of the Faculty of Theology at the University of Pretoria, Pretoria, South Afr...

The bacterial flagellar motor is a rotary molecular engine driven by an electrochemical gradient; which turns a helical filament generating the thrust enabling the bacteria to swim. The mechanism of torque generation has been described by different models, each of them predicting a different relationship between speed and torque. In order to rule out the less effective models in favor of more p...

BACKGROUND AND PURPOSE It is well known that people with Parkinson's disease (PD) have significant difficulty turning, and that such difficulty is related to freezing episodes and falls. However, it is unclear how clinicians should evaluate turning. The purpose of this exploratory study was to determine whether the common clinical assessment instruments reflect turning deficits in persons with ...

We present a variant of Reimer’s proof of the van den Berg-Kesten conjecture.

Starting from the background of nanofluidics in other disciplines, this paper describes the present state of research in this field and discusses possible directions of development. Emphasis is put on the very diverse background of nanofluidics in biology, chemistry, physics and engineering and the valuable knowledge available in these disciplines. First, the forces that play a role on the nano...