Reply to Comment on 'Two-finger selection theory in the Saffman-Taylor problem

We clarify the meaning of the results of Phys. Rev. E 60, R5013 (1999). We discuss the use and implications of periodic boundary conditions, as opposed to rigid-wall ones. We briefly argue that the solutions of the paper above are physically relevant as part of a more general issue, namely the possible generalization to dynamics, of the microscopic solvability scenario of selection.

Hamilton Jacobi theory for constrained systems

We extend the HamiltonJacobi formulation to constrained dynamical systems. The discussion covers both the case of first-class constraints alone and that of first- and second-class constraints combined. The HamiltonDirac equations are recovered as characteristic of the system of partial differential equations satisfied by the HamiltonJacobi function.

Equivalence Between the Lagrangian and Hamiltonian Formalisms for Constrained Systems

The equivalence between the Lagrangian and Hamiltonian formalism is studied for constraint systems. A procedure to construct the Lagrangian constraints from the Hamiltonian constraints is given. Those Hamiltonian constraints that are first class with respect to the Hamiltonian constraints produce Lagrangian constraints that are FL-projectable.

Lee HWA Chung theorem for presympectic manifolds. Canonical transformations for constrained systems

We generalize the analogous of Lee Hwa Chungs theorem to the case of presymplectic manifolds. As an application, we study the canonical transformations of a canonical system (M, S, O). The role of Dirac brackets as a test of canonicity is clarified.

Hamilton-Jacobi theory for constrained systems

We extend the HamiltonJacobi formulation to constrained dynamical systems. The discussion covers both the case of first-class constraints alone and that of first- and second-class constraints combined. The HamiltonDirac equations are recovered as characteristic of the system of partial differential equations satisfied by the HamiltonJacobi function.

New experimental apparatus for the study of the Bénard-Rayleigh problem

A new experimental system to measure the equivalent thermal conductivity of a liquid with regard to the Bénard-Rayleigh problem was constructed. The liquid is enclosed within walls of polymethylmethacrylate between two copper plates in which there are thermocouples to measure the difference in temperature between the lower and upper surfaces of the layer of liquid. Heat flux is measured by means of a linear heat fluxmeter consisting of 204 thermocouples in series. The fluxmeter was calibrated and the linear relationship that exists between the heat flux and the emf generated was verified. The thermal conductivity of the polymethylmethacrylate employed was measured and measurements of the equivalent conductivity in cylindrical boundaries of two silicone oils were made. The critical value of the temperature difference and the contribution of the convective process to the transmission of heat were determined.

John Addington Symonds. A Problem in Greek Ethics. Plutarch's Eroticus quoted only in some footnotes? Why?

It is certainly astonishing that an innovating study about the Greek pederasty in England like the one by John Addington Symonds does not quote Plutarch's Eroticus -in fact, it is only cited in some footnotes-, if one bears in mind that this dialogue is an accurate philosophical reflection on Greek eros, in which very often significant ethical themes are approached. The aim of this article is just to reveal the different reasons for such an omission.

John Addington Symonds. A Problem in Greek Ethics. ¿El Erótico de Plutarco reducido a algunas notas a pie de página? ¿Por qué?

Resulta sorprendente que un estudio pionero en Inglaterra sobre la pederastia griega como el de John Addington Symonds no cite el Erótico de Plutarco, excepción hecha de en algunas notas a pie de página, siendo como es este dialogo una seria reflexión filosófica sobre el eros griego, en que a menudo se abordan cuestiones éticas. El objetivo de este artículo es revelar justamente las razones de índole diversa para una tal omisión.

John Addington Symonds. A Problem in Greek Ethics. ¿L'Eròtic de Plutarc reduït a algunes notes a peu de pàgina? Per què?

Resulta sorprenent que un estudi pioner a Anglaterra sobre la pederàstia grega como el de John Addington Symonds no citi l'Eròtic de Plutarc, llevat de en algunes notes a peu de pàgina, essent com és aquest diàleg una seriosa reflexió filosòfica sobre l'eros grec, en què sovint s'aborden qüestions ètiques. L'objectiu d'aquest article és revelar justament les raons d'índole diversa per a una tal omissió.

Computation of arbitrarily constrained synthetic discriminant functions

An algorithm for computing correlation filters based on synthetic discriminant functions that can be displayed on current spatial light modulators is presented. The procedure is nondivergent, computationally feasible, and capable of producing multiple solutions, thus overcoming some of the pitfalls of previous methods.

The database search problem: a question of rational decision making

This paper applies probability and decision theory in the graphical interface of an influence diagram to study the formal requirements of rationality which justify the individualization of a person found through a database search. The decision-theoretic part of the analysis studies the parameters that a rational decision maker would use to individualize the selected person. The modeling part (in the form of an influence diagram) clarifies the relationships between this decision and the ingredients that make up the database search problem, i.e., the results of the database search and the different pairs of propositions describing whether an individual is at the source of the crime stain. These analyses evaluate the desirability associated with the decision of 'individualizing' (and 'not individualizing'). They point out that this decision is a function of (i) the probability that the individual in question is, in fact, at the source of the crime stain (i.e., the state of nature), and (ii) the decision maker's preferences among the possible consequences of the decision (i.e., the decision maker's loss function). We discuss the relevance and argumentative implications of these insights with respect to recent comments in specialized literature, which suggest points of view that are opposed to the results of our study.

Reforming the Iowa Civil Justice System, January 30, 2012

Executive Summary I. Survey The Task Force conducted a wide-ranging survey of more than 9,000 licensed Iowa attorneys and judges to obtain their input on a variety of civil justice system topics. The survey results helped inform the Task Force of problem areas in Iowa’s civil justice system. II. Two-Tier Justice System The Task Force recommends a pilot program based on a two-tier civil justice system. A two-tier system would streamline litigation processes—including rules of evidence and discovery disclosures—and reduce litigation costs of certain cases falling below a threshold dollar value. III. One Judge/One Case and Date Certain for Trial Some jurisdictions in Iowa have adopted one judge/one case and date certain for trial in certain cases. The assignment of one judge to each case for the life of the matter and the establishment of dates certain for civil trials could enhance Iowans’ access to the courts, improve judicial management, promote consistency and adherence to deadlines, and reduce discovery excesses. IV. Discovery Processes Reforms addressing inefficient discovery processes will reduce delays in and costs of litigation. Such measures include adopting an aspirational purpose for discovery rules to “secure the just, speedy, and inexpensive determination of every action,” holding discovery proportional to the size and nature of the case, requiring initial disclosures, limiting the number of expert witnesses, and enforcing existing rules. V. Expert Witness Fees The Task Force acknowledges the probable need to revisit the statutory additional daily compensation limit for expert witness fees. Leaving the compensation level to the discretion of the trial court is one potential solution. VI. Jurors Additions to the standard juror questionnaire would provide a better understanding of the potential jurors’ backgrounds and suitability for jury service. The Task Force encourages adoption of more modern juror educational materials and video. Rehabilitation of prospective jurors who express an unwillingness or inability to be fair should include a presumption of dismissal. VII. Video and Teleconferencing Options When court resources are constrained both by limited numbers of personnel and budget cuts, it is logical to look to video and teleconferencing technology to streamline the court process and reduce costs. The judicial branch should embrace technological developments in ways that will not compromise the fairness, dignity, solemnity, and decorum of judicial proceedings. VIII. Court-Annexed Alternative Dispute Resolution(ADR) Litigants and practitioners in Iowa are generally satisfied with the current use of private, voluntary ADR for civil cases. There is concern, however, that maintaining the status quo may have steep future costs. Court-annexed ADR is an important aspect of any justice system reform effort, and the Task Force perceives benefits and detriments to reforming this aspect of the Iowa civil justice system. IX. Relaxed Requirement of Findings of Fact and Conclusions of Law A rule authorizing parties to waive findings of fact and conclusions of law could expedite resolution of nonjury civil cases. X. Business (Specialty) Courts Specialty business courts have achieved widespread support across the country. In addition, specialty courts provide excellent vehicles for implementing or piloting other court innovations that may be useful in a broader court system context. A business specialty court should be and could be piloted in Iowa within the existing court system framework of the Iowa Judicial Branch. Appendix included as a separate document, is 176 pages.

Exact solution to the mean exit time problem for free inertial processes driven by Gaussian white noise

We obtain the exact analytical expression, up to a quadrature, for the mean exit time, T(x,v), of a free inertial process driven by Gaussian white noise from a region (0,L) in space. We obtain a completely explicit expression for T(x,0) and discuss the dependence of T(x,v) as a function of the size L of the region. We develop a new method that may be used to solve other exit time problems.