Some Observations on the Nature of Insect Names

A recent study of dragonfly names (Montgomery, 1973) has led to a consideration of insect names, especially ancient and early English names. This interest was aroused, chiefly by the statement in Sarot\u27s study of the folklore of the dragonfly from A Linguistic Approach that no recognizable name for dragonflies has been found in Anglo-Saxon, classical Latin or ancient Greek. Any language is capable of supplying names for all objects, including insects, which are recognized by its community of speakers. As so many names for dragonflies have been found in modern languages, (95 in English, over 60 in German, about 40 in French and almost 200 in Italian) and names for other insects are fairly numerous in these languages (for example: at least 13 for grasshopper or locust, eight for beetles, and six each for moth, fly and cicada in ancient Greek) this is surprising if not incredible. However, in several years of search I must say that I have been as unsuccessful as Sarot. The search is made rather difficult because all of the comprehensive dictionaries and glossaries of these languages which I have found are one-way, that is from the other language into English. Search for an English word in them is comparable in difficulty to getting where you wish to go by traveling the wrong way on a lane of a super-highway! A great amount of data on insect names in general has been acquired

Dynamic simulations of water at constant chemical potential

The grand molecular dynamics (GMD) method has been extended and applied to examine the density dependence of the chemical potential of a three-site water model. The method couples a classical system to a chemical potential reservoir of particles via an ansatz Lagrangian. Equilibrium properties such as structure and thermodynamics, as well as dynamic properties such as time correlations and diffusion constants, in open systems at a constant chemical potential, are preserved with this method. The average number of molecules converges in a reasonable amount of computational effort and provides a way to estimate the chemical potential of a given model force field

Financial Structure: An International Persepective

macroeconomics, financial structure

ECONOMICS OF THE FROZEN FOOD DISTRIBUTION SYSTEM

Agribusiness,

Velocity field distributions due to ideal line vortices

We evaluate numerically the velocity field distributions produced by a bounded, two-dimensional fluid model consisting of a collection of parallel ideal line vortices. We sample at many spatial points inside a rigid circular boundary. We focus on ``nearest neighbor'' contributions that result from vortices that fall (randomly) very close to the spatial points where the velocity is being sampled. We confirm that these events lead to a non-Gaussian high-velocity ``tail'' on an otherwise Gaussian distribution function for the Eulerian velocity field. We also investigate the behavior of distributions that do not have equilibrium mean-field probability distributions that are uniform inside the circle, but instead correspond to both higher and lower mean-field energies than those associated with the uniform vorticity distribution. We find substantial differences between these and the uniform case.Comment: 21 pages, 9 figures. To be published in Physical Review E (http://pre.aps.org/) in May 200

Viscous, resistive MHD stability computed by spectral techniques

Expansions in Chebyshev polynomials are used to study the linear stability of one dimensional magnetohydrodynamic (MHD) quasi-equilibria, in the presence of finite resistivity and viscosity. The method is modeled on the one used by Orszag in accurate computation of solutions of the Orr-Sommerfeld equation. Two Reynolds like numbers involving Alfven speeds, length scales, kinematic viscosity, and magnetic diffusivity govern the stability boundaries, which are determined by the geometric mean of the two Reynolds like numbers. Marginal stability curves, growth rates versus Reynolds like numbers, and growth rates versus parallel wave numbers are exhibited. A numerical result which appears general is that instability was found to be associated with inflection points in the current profile, though no general analytical proof has emerged. It is possible that nonlinear subcritical three dimensional instabilities may exist, similar to those in Poiseuille and Couette flow

Hyperk\"ahler Arnold Conjecture and its Generalizations

We generalize and refine the hyperk\"ahler Arnold conjecture, which was originally established, in the non-degenerate case, for three-dimensional time by Hohloch, Noetzel and Salamon by means of hyperk\"ahler Floer theory. In particular, we prove the conjecture in the case where the time manifold is a multidimensional torus and also establish the degenerate version of the conjecture. Our method relies on Morse theory for generating functions and a finite-dimensional reduction along the lines of the Conley-Zehnder proof of the Arnold conjecture for the torus.Comment: 13 page