We count the number of walks of length n on a k-node circular digraph that cover all k nodes in two ways. The first way illustrates the transfer-matrix method. The second involves counting various classes of height-restricted lattice paths. We observe that the results also count so-called k-balanced strings of length n, generalizing a 1996 Putnam problem. Corresponding Author This work was supp...

Signal to interference ratio (SIR) is a key factor to measure the quality of the received signal. In a wireless system parameters such as cell size, coverage, quality of service (QoS), and etc are controlled using SIR. In this paper, exact solution of probability density function (PDF) for SIR is evaluated analytically in a circular cell taking into consideration the randomness of users and cha...

We have studied a new type of double-negative metamaterials (DNMs) composed of split ring resonators (SRRs) and wire strips with substrate teflon, suitable for generation of reversed Cherenkov radiation (RCR) which is TM radiation. We have experimentally observed a narrow pass band in a circular waveguide partially loaded with the DNMs and stop bands for SRRs-only with teflon and for wire strip...

Let f be a boolean function. Define the circuit complexity of . . . No, wait! Let’s back up a little bit. Let me tell you how we ended up here. We are in Berkeley, California, in a circular-shaped building on the university campus. It is week five in the life of the Simons Institute for the Theory of Computation. This institute is named after James Harris Simons, an American mathematician who s...

The results of a comprehensive pile load-test program and observations from field monitoring of helical piles with either a single helix or double helixes installed in oil sand are presented in this paper. Eleven full-scale pile load tests were carried out including axial compression, uplift, and lateral load tests. The results of the full-scale load tests are used to develop a theoretical desi...

Wind turbine (WT) foundations are generally subjected to large combined vertical, horizontal, moment, and torsional (VHMT) loads. The available investigations of the ultimate limit states WT focus predominately on unlimited-tension soil-foundation interfaces that more appropriate for offshore settings. However, onshore unable resist tensile To address this omission, a zero-tension interface is ...

The problem of determining the values of the independent variable given a value of the dependent variable is commonly referred to as the inverse regression problem. This problem is also encountered in real life with circular data and we refer to it in that context as the inverse circular regression problem. For such a problem, we develop distance-basedmethods, and parametric methods, where we u...

Submitted for the MAR15 Meeting of The American Physical Society Intrinsic circular polarization in centrosymmetric stacks of transition-metal dichalcogenide1 QIHANG LIU, XIUWEN ZHANG, ALEX ZUNGER, University of Colorado, Boulder — The circular polarization (CP) that the photoluminescence inherits from the excitation source in n monolayers of transition-metal dichalcogenides (MX2)n has been pre...