Root numbers and ranks in positive characteristic

For a global field K and an elliptic curve E_eta over K(T), Silverman's specialization theorem implies that rank(E_eta(K(T))) <= rank(E_t(K)) for all but finitely many t in P^1(K). If this inequality is strict for all but finitely many t, the elliptic curve E_eta is said to have elevated rank. All known examples of elevated rank for K=Q rest on the parity conjecture for elliptic curves over Q, and the examples are all isotrivial. Some additional standard conjectures over Q imply that there does not exist a non-isotrivial elliptic curve over Q(T) with elevated rank. In positive characteristic, an analogue of one of these additional conjectures is false. Inspired by this, for the rational function field K = kappa(u) over any finite field kappa with odd characteristic, we construct an explicit 2-parameter family E_{c,d} of non-isotrivial elliptic curves over K(T) (depending on arbitrary c, d in kappa^*) such that, under the parity conjecture, each E_{c,d} has elevated rank.Comment: 40 pages; last version; to appear in Adv. Mat

The Brutal Murder of George J. Bushman

In the fall of 1918 there occurred in Adams County a singularly brutal murder that brought the County and the town of Gettysburg to a shocked standstill. The tentacles of this event would reach into four Pennsylvania counties: Adams, Cumberland, Dauphin, and Philadelphia, and eventually the Pennsylvania Supreme Court. The investigation of the crime and the trial of the perpetrators involved so many public officials and families, as well as the extended judicial system and geographical locations within and without the County, that we have included a Cast of Characters and Locations to assist the reader in following this convoluted tale

A Study of Techniques for Calculating Motion Drive Signals for Flight Simulators

Development and evaluation of experimental test plan for solutions of motion drive problem in formation flying task with flight simulator

How Does Law Affect Finance? An Empirical Examination of Tunneling in an Emerging Market

This paper documents that law affects finance in emerging markets through the methods used by controlling shareholders to “tunnel” wealth out of the firm. We find that Bulgarian securities law enabled financial tunneling via dilution and freeze-out tender offers. During the period 1999- 2001, about two-thirds of the 1,040 firms on the Bulgarian Stock Exchange were delisted. Freeze-out tender offers for minority shares averaged about 25% of the shares’ intrinsic value. Bulgarian securities law changes in 2002 made financial tunneling more costly for controlling shareholders. Subsequent increases in stock market valuations and liquidity suggest that controlling shareholders have shifted from financial tunneling to less value-destroying methods, such as transfer pricing, to extract wealth from firms.http://deepblue.lib.umich.edu/bitstream/2027.42/40128/3/wp742.pd

Polarization effects in attosecond photoelectron spectroscopy

We study the influence of polarization effects in streaking by combined atto- and femtosecond pulses. The polarization-induced terms alter the streaking spectrum. The normal streaking spectrum, which maps to the vector potential of the femtosecond pulse, is modified by a contribution following the field instead. We show that polarization effects may lead to an apparent temporal shift, that needs to be properly accounted for in the analysis. The effect may be isolated and studied by angle-resolved photoelectron spectroscopy from oriented polar molecules. We also show that polarization effects will lead to an apparent temporal shift of 50 as between photoelectrons from a 2p and 1s state in atomic hydrogen.Comment: 4 pages, 3 figure

Resonance tube igniter

Reasonance induced in stoichiometric mixtures of gaseous hydrogen-oxygen produces temperatures /over 1100 deg F/ high enough to cause ignition. Resonance tube phenomenon occurs when high pressure gas is forced through sonic or supersonic nozzle into short cavity. Various applications for the phenomenon are discussed

How Does Law Affect Finance? An Empirical Examination of Tunneling in an Emerging Market

This paper documents that law affects finance in emerging markets through the methods used by controlling shareholders to “tunnel” wealth out of the firm. We find that Bulgarian securities law enabled financial tunneling via dilution and freeze-out tender offers. During the period 1999- 2001, about two-thirds of the 1,040 firms on the Bulgarian Stock Exchange were delisted. Freeze-out tender offers for minority shares averaged about 25% of the shares’ intrinsic value. Bulgarian securities law changes in 2002 made financial tunneling more costly for controlling shareholders. Subsequent increases in stock market valuations and liquidity suggest that controlling shareholders have shifted from financial tunneling to less value-destroying methods, such as transfer pricing, to extract wealth from firms.Tunneling, freeze-out, controlling shareholders, appraisal rights, preemptive rights

New mechanization equations for aided inertial navigation systems

Inertial navigation equations are developed which use area navigation (RNAV) waypoints and runway references as coodinate centers. The formulation is designed for aided inertial navigation systems and gives a high numerical accuracy through all phases of flight. A new formulation of the error equations for inertial navigation systems is also presented. This new formulation reduces numerical calculations in the use of Kalman filters for aided inertial navigation systems

A GENERAL FRAMEWORK FOR GRAIN BLENDING AND SEGREGATION

The Hennessy and Wahl model of optimal grain blending and segregation (GBS) is extended to the case where it is not possible to separate components within a load. Analytical solutions are not available when segregation is the optimal strategy, and so solutions are obtained with nonlinear optimization. The model is then used to determine the optimal sorting of hard red winter wheat by protein content. Most of the benefits from sorting can be obtained with only two bins.blending, grain, segregation, Crop Production/Industries,