101,017 research outputs found
Perturbation of baum-bott residues
No full textWe prove that Baum-Bott residues vary continuously in an appropriate sense under smooth deformations of holomorphic foliations. This provides an effective way of computing residues
Some aspects of the muon catalysis of d-t fusion
No full textWhen a deuteron, a triton and a muon are bound in a (dμt) mesomolecule the nuclear reaction d + t → 4He + n takes place in a very short time. In this paper the processes following the nuclear reaction are studied. The probability of the muon sticking to the α-particle is found to be w = (1.2 ± 0.1) × 10-2. All the processes which can strip the (μα) during the slowing down are taken into account. At the end of the slowing down the probability for the muon still to be bound to the α-particle is $ ̄w = 9.1 × 10-3. Consequently the maximum number of d-t fusions one muon can catalyse is Nmax = 1 w ̄ = 110. The yields of K and L (μα) lines are also calculated: K = 0.60 × 10-2, L = 0.59×10-3. © 1981
Localized intersection of currents and the Lefschetz coincidence point theorem
No full textWe introduce the notion of a Thom class of a current and define the localized intersection of currents. In particular, we consider the situation where we have a C-infinity map of manifolds and study localized intersections of the source manifold and currents on the target manifold. We then obtain a residue theorem on the source manifold and give explicit formulas for the residues in some cases. These are applied to the problem of coincidence points of two maps. We define the global and local coincidence homology classes and indices. A representation of the Thom class of the graph as a Cech-de Rham cocycle immediately gives us an explicit expression of the index at an isolated coincidence point, which in turn gives explicit coincidence classes in some non-isolated components. Combining these, we have a general coincidence point theorem including the one by S. Lefschetz
Simulating Effects of Serum Potassium on the ECG
No full textThe O’Hara et al. ventricular cell model was used to quantify cell and tissue electrical characteristics under altered extracellular serum potassium ([K+]o) levels. The cell model was incorporated into a heterogeneous 1D bi-domain virtual strand description where pseudo-ECG was computed. In multiple simulations, the effects of [K+]o on CV and ECG T wave were quantified. Further, heterogeneous inter-cellular coupling was simulated to elicit the augmented action potential dispersion in human ventricles observed experimentally.
An increase of [K+]o reduced APD90 and increased cellular alternans propensity. In 1D simulations, CV was reduced due to both increased and reduced [K+]o. ECG T wave amplitude and absolute value of repolarization slope reduced with increasing [K+]o.
There is a close correlation between ECG features and [K+]o levels which could be used to develop non-invasive diagnostic methods
New development: Integrating risk management in management control systems—lessons for public sector managers
No full textExploring multiple dimensions of management control systems (MCS), this article proposes a new framework to integrate risk management with strategy, MCS and performance measurement systems (PMS). Considering the public sector as a focal point, the article points to some enterprise risk management (ERM) issues and argues that ERM-enabled MCS has potential to improve PMS and strategic decision-making, leading to a more proactive risk management framework and a culture that promotes performance driven accountability. Consequently, the article calls for further research towards solving the public sector’s risk management problems, motivating its managers to adopt best practices, and stimulating suitable policy developments
Letter, [Author unclear] to Paulina T. Merritt
No full textHandwritten letter to Paulina Merritt from an unknown author, October 1, 1876.
Localization of Atiyah classes
No full textWe construct the Atiyah classes of holomorphic vector bundles using (1, 0)-connections and developing a Chern-Weil type theory, allowing us to effectively compare Chern and Atiyah forms. Combining this point of view with the Cech-Dolbeault cohomology, we prove several results about vanishing and localization of Atiyah classes, and give some applications. In particular, we prove a Bott type vanishing theorem for (not necessarily involutive) holomorphic distributions. As an example we also present an explicit computation of the residue of a singular distribution on the normal bundle of an invariant submanifold that arises from the Camacho-Sad type localization
Handwritten biographical information on Paulina T. McClung Merritt
No full textA handwritten biography of Paulina T. McClung Merritt by an unknown author, 1892.
- …
