The stability of slotted ALOHA systems with various types of capture phenomena and multiple packet reception capability is discussed in conjunction with the cusp catastrophe. The slotted ALOHA systems considered are classified into; 1) single packet reception with geometric capture, 2) independent multiple packet reception with geometric capture, 3) single packet reception with M -out-of-N capt...

necropsy. The normal aortic valve echocardiogram is described and evidence is given that the anteriorly visualized cusp echoes arefrom the right coronary but those which are posteriorly visualized may befrom the non-coronary or the left coronary cusp. The ultrasound patterns in aortic stenosis, aortic regurgitation, and mixed aortic valve disease are described. In each case the aortic root diam...

The large-scale and continuous monitoring of the ionospheric cusp region offered by HF radars has been exploited in order to examine the statistical location and motion of the equatorward edge of the HF radar cusp as a function of the upstream IMF BZ component. Although a considerable scatter is seen, both parameters have a clear influence from the north-south component of the IMF. Excellent ag...

In this paper, we present a label-based approach for implementing deflection in a photonic packet network, and we introduce an algorithm for determining deflection options in a manner which eliminates looping. A general analytical model is developed to evaluate packet loss probabilities in networks with deflection. The analysis may be applied to a wide class of deflection schemes and may be app...

We present a rigorous, detailed study of the generic, quantitative properties of gravitational lensing near cusp catastrophes. Concentrating on the case when the individual images are unresolved, we derive explicit formulas for the total magnification and centroid of the images created for sources outside, on, and inside the cusped caustic. We obtain new results on how the image magnifications ...

Thin-walled workpieces, such as aero-engine blisks and casings, are usually made of hard-to-cut materials. The wall thickness is very small and it is easy to deflect during milling process under dynamic cutting forces, leading to inaccurate workpiece dimensions and poor surface integrity. To understand the workpiece deflection behavior in a machining process, a new real-time nonintrusive method...

A promising option to raising busty interchange in system communication could be Optical Burst Switched (OBS) networks among scalable and support routing effective. The routing schemes with disputation resolution got much interest, because the OBS network is buffer less in character. Because the deflection steering can use limited optical buffering or actually no buffering thus the choice or de...

The phase diagrams of some cholesterol-lipid mixtures exhibit two immiscibility regions along with a sharp cusp, pointing to a particular stoichiometry for possible lipid/cholesterol complex formation. It has been hypothesized that reactive cholesterol monomers are present in mixtures with cholesterol content greater than that at the cusp. To test this hypothesis, we have examined how the prese...

Let k be a global function field with field of constants Fr, r = p m, and let ∞ be a fixed place of k. In his habilitation thesis [Boc2], Gebhard Böckle attaches abelian Galois representations to characteristic p valued cusp eigenforms and double cusp eigenforms [Go1] such that Hecke eigenvalues correspond to the image of Frobenius elements. In the case where k = Fr(T ) and ∞ corresponds to the...

The effect of artificial diffusion on discrete shock structures is examined for a family of schemes which includes scalar diffusion, convective upwind and split pressure (CUSP) schemes, and upwind schemes with characteristic splitting. The analysis leads to conditions on the diffusive flux such that stationary discrete shocks can contain a single interior point. The simplest formulation which m...