In this paper we develop a measure of competition based on management’s disclosures in their 10-K filing and find that firms’ rates of diminishing marginal returns on new and existing investment vary significantly with our measure. We show that these firm-level disclosures are related to existing industry-level measures of disclosure (e.g. Herfindahl index), but capture something distinctly new...

We study the S-integral points on the complement of a union of hyperplanes in projective space, where S is a finite set of places of a number field k. In the classical case where S consists of the set of archimedean places of k, we completely characterize, in terms of the hyperplanes and the field k, when the (S-)integral points are not Zariski-dense.

In this article we obtain some positive results about the existence of a common nontrivial invariant subspace for N-tuples of not necessarily commuting operators on Banach spaces with a Schauder basis. The concept of joint quasinilpotence plays a basic role. Our results complement recent work by Kosiek [6] and Ptak [8].

During (nearly) all steps in retroviral pathogenesis, viruses are confronted with complement and complement receptor (CR)-positive cells. As all of the retroviruses tested so far activate the complement system, members of this virus family have adapted different protection mechanisms to keep complement activation under the threshold necessary to avoid complement-mediated lysis. As a consequence...

Murine or rabbit whole brain homogenates were shown to activate human complement via the classical pathway by an antibody-independent reaction. This activity required Ca++ ions. Anticomplementary activity in fractionated murine brain was found to reside in the myelin fraction and in purified myelin. It was absent, however, both from highly purified myelin basic protein (MBP) and from the MBP-fr...

Current views on the acquisition of PRO can roughly be divided into two areas: lexical and syntactic accounts. We present data on one verb, decide, that yields data that not only differs from the data for other similar verbs with the same children, but does not lend itself easily to either type of account. Data from a sentence elicitation task conducted with 20 typically-developing children (4;...

Let R be an o-minimal expansion of the real field, and let Lnest(R) be the language consisting of all nested Rolle leaves over R. We call a set nested sub-pfaffian over R if it is the projection of a boolean combination of definable sets and nested Rolle leaves over R. Assuming that R admits analytic cell decomposition, we prove that the complement of a nested sub-pfaffian set over R is again a...

Understanding non-Haken 3-manifolds is central to many current endeavors in 3-manifold topology. We describe some results for closed orientable surfaces in non-Haken manifolds, and extend Fox’s theorem for submanifolds of the 3-sphere to submanifolds of general non-Haken manifolds. In the case where the submanifold has connected boundary, we show also that the ∂-connected sum decomposition of t...

The European commission, Photonics 21 and LASHARE invite to a forum at Laser World of Photonics in Munich on June 29th from 10:00 to 14:00 in Hall B3.360. Under the headline “Digitisation of laserbased manufacturing in Europe” the program intends to identify topics and activities that support digitisation in the photonics sector. After an overview about research agendas and work programmes by t...