We test a previously proposed model for the generation of internal waves, produced both by the flow over the body and the disturbances produced by its turbulent wake, within the framework of a ray model of the internal waves. This model approximates the stratified flow over the sphere as a combination of a distribution of sources representing the steady internal wave flow, relative to the spher...

Traditional display systems usually display objects on static screens (monitors, walls etc) and the interaction between the displaying object and the viewer can only be via keyboard and mouse. It will be attractive if we display the object to a hand-held screen and interact with it using our hands as we do in our daily lives. In this paper, we propose a prototype system by projecting the object...

In this paper, we discuss how to realize a non singular Smale flow with a four band template on 3-sphere. This extends the work done by the second author on Lorenz Smale flows, Bin Yu on realizing Lorenz Like Smale flows on 3-manifold and continues the work of Elizabeth Haynes and the second author on realizing simple Smale flows with a different four band template on 3-sphere.

This article explains how to construct immersed Lagrangian submanifolds in C2 that are asymptotic at large distance from the origin to a given braid in the 3–sphere. The self-intersections of the Lagrangians are related to the crossings of the braid. These Lagrangians are then used to construct immersed Lagrangians in the vector bundle O(−1)⊕ O(−1) over the Riemann sphere which are asymptotic a...

These notes are a short review of the q–deformed fuzzy sphere S2 q,N , which is a “finite” noncommutative 2–sphere covariant under the quantum group Uq(su(2)). We discuss its real structure, differential calculus and integration for both real q and q a phase, and show how actions for Yang–Mills and Chern–Simons–like gauge theories arise naturally. It is related to D-branes on the SU(2)k WZW mod...

In the first paper of this series, we introduced Voronoi correlation functions to characterize the structure of maximally random jammed (MRJ) sphere packings across length scales. In the present paper, we determine a variety of different correlation functions that arise in rigorous expressions for the effective physical properties of MRJ sphere packings and compare them to the corresponding sta...

There is now convincing evidence that genomes are organized into loops, and that looping brings distant genes together so that they can bind to local concentrations of polymerases in "factories" or "hubs." As there remains no systematic analysis of how looping affects the probability that a gene can access binding sites in such factories/hubs, we used an algorithm that we devised and Monte Carl...

Through the example of the quantum symplectic 4-sphere, we discuss how the notion of twisted spectral triple fits into the framework of quantum homogeneous spaces.