1. This service should be on an equal footing with the Provincial Medical Service, i.e., the health officers should be gazetted officers and should enjoy all the rights and privileges of a Government servant as regards leave, pension, &c. 2. The health officers should be absolutely independent of the Municipal Commissioners and should be vested with both administrative and executive powers. The...

High-resolution direct numerical simulation data for three-dimensional Navier-Stokes turbulence in a periodic box are used to study the scaling behavior of low-order velocity structure functions with positive and negative powers. Similar to high-order statistics, the low-order relative scaling exponents exhibit unambiguous departures from the Kolmogorov 1941 theory and agree well with existing ...

This paper dealt with by studying continued fractions of the form c 1 1 + c 1 1 + · · · + c 1 1 + · · · Necessary and sufficient conditions are given for a sequence of it to be convergent in the formal powers series case.

Synchronization of coupled oscillators on a d-dimensional lattice with the power-law coupling G(r) = g0/rα and randomly distributed intrinsic frequency is analyzed. A systematic perturbation theory is developed to calculate the order parameter profile and correlation functions in powers of ϵ = α/d-1. For α ≤ d, the system exhibits a sharp synchronization transition as described by the conventio...

In 1994, James Sellers conjectured an infinite family of Ramanujan type congruences for 2-colored Frobenius partitions introduced by George E. Andrews. These congruences arise modulo powers of 5. In 2002 Dennis Eichhorn and Sellers were able to settle the conjecture for powers up to 4. In this article, we prove Sellers' conjecture for all powers of 5. In addition, we discuss why the Andrews-Sel...

My talk was dedicated to the memory of Jan Stern. The brief account given below focuses on the progress achieved in the determination of the ππ S-wave scattering lengths, both experimentally and with light dynamical quarks on a lattice. In view of the excellent agreement, we can conclude that (a) the expansion in powers of the two lightest quark masses represents a very efficient tool for the a...

Barth and Paladino (2011) argue that changes in numerical representations are better modeled by a power function whose exponent gradually rises to 1 than as a shift from a logarithmic to a linear representation of numerical magnitude. However, the fit of the power function to number line estimation data may simply stem from fitting noise generated by averaging over changing proportions of logar...

In this letter, the properties of split-ring resonators (SRRs) loaded with high-Q capacitors and nonlinear varactors are theoretically analyzed and experimentally measured. We demonstrate that the resonance frequency f(m) of the nonlinear SRRs can be tuned by increasing the incident power. f(m) moves to lower and higher frequencies for the SRR loaded with one varactor and two back-to-back varac...

In an earlier paper [14], we showed that the Hilbert scheme of points in the plane Hn = Hilb (C) can be identified with the Hilbert scheme of regular orbits C//Sn. Using this result, together with a recent theorem of Bridgeland, King and Reid [4] on the generalized McKay correspondence, we prove vanishing theorems for tensor powers of tautological bundles on the Hilbert scheme. We apply the van...

According to GLOMOsys (the GLObal versus LOcal processing MOdel, a systems account), an important distinction is that between a local and a global processing system: The former processes information in parts, the latter processes it globally. These systems can be activated by perceptual processing and carry over to subsequent conceptual processing, in particular to analytical and creative thoug...