Generalized Schmidt decomposition and classification of three-quantum-bit states

We prove for any pure three-quantum-bit state the existence of local bases which allow one to build a set of five orthogonal product states in terms of which the state can be written in a unique form. This leads to a canonical form which generalizes the two-quantum-bit Schmidt decomposition. It is uniquely characterized by the five entanglement parameters. It leads to a complete classification of the three-quantum-bit states. It shows that the right outcome of an adequate local measurement always erases all entanglement between the other two parties.

Komik, Ernst und Mise en page. Zum Problem der Farblinien in Heinrich Wittenwilers "Der Ring"

Der Aufsatz nähert sich dem Interpretationsproblem des ,Ring', eines seit Forschungsbeginn ausserordentlich konträr diskutierten Textes, aus wissenschaftsanalytischer Perspektive. Er führt die Zersplitterung und die Extremisierung der Deutungsansätze, die die breite Forschung zu Wittenwilers Werk kennzeichnet, auf einen vergleichsweise simplen Befund zurück: die ungeklärte Frage nach dem Verhältnis von Komik und Didaktik und der Ernsthaftigkeit des lehrhaften Angebots im ,Ring'. Die so auf grundlegendster Ebene offen gebliebene Erfassung des Textes führt in einen interpretatorischen Leerraum, in dem die widersprüchlichsten, oft wissenschaftsideologisch begründeten Positionen Platz finden. Ihre Analyse zeigt, dass sie sich in wiederkehrende Gruppierungen ordnen. Als Schlüsselglied sowohl der Befunddaten als auch der konträren Vernetzungen von Befund und Deutung wird die wechselnd rote und grüne Initialenlinie der Münchner Handschrift identifiziert. Als im Prolog eingeführte Markierung von Ernst auf der einen und Komik auf der anderen Seite ist sie nicht nur visueller Ausdruck des Deutungsproblems des ,Ring', sondern sie hat es wegen der scheinbaren Unstimmigkeit ihrer Zuweisungen auch wesentlich bedingt. Der Aufsatz zeigt ihren bisher übersehenen Aufschluss für das Verständnis des Werks. Nimmt man die Linie als graphisches Verfahren ernst, stellt sie sich als strukturelle Markierung zum Auffinden von Text im diskontinuierlichen Zugriff dar - nicht aber, wie man sie bisher ausnahmslos verstand, als semantische Kommentierung eines laufenden, kontinuierlich zu lesenden Textes. Die strukturierende Funktion des Farbwechsels ist auf zwei Ebenen nachzuweisen: Auf Makroebene trennen seine Zuweisungen vorwiegend narrative und vorwiegend wissensvermittelnde Grosspartien des ,Ring' durch eine jeweilige Grundfarbe. Auf Mikroebene wird diese Grundfarbe durch die jeweils andere Farbe durchbrochen, um formale Einschnitte wie etwa Sprecherwechsel, Ortswechsel, Handlungsneueinsätze, Beginn und Ende eines eingeschalteten Binnentextes oder einer Sentenz anzuzeigen. Dem Benutzer der autornahen Handschrift sollte so in einem ersten Schritt (makrostrukturell) ermöglicht werden, gezielt auf gewünschte Stellen des Textes zuzugreifen und ihn in einem zweiten Schritt (mikrostrukturell) schneller zu erfassen. Nicht in seiner Umsetzung, sehr wohl aber in seiner Funktion steht dieses ungewöhnliche Layout zeitgenössischen Techniken der Buchgliederung durchaus nahe. Auch im Profil der Zusammenstellung seiner Binnentexte rückt der ,Ring' damit in die Nähe der im Spätmittelalter beliebten Sammelhandschriften mit Ziel einer Wissenssumme, die hier narrativ verbundenen wird. Es scheint, als möchte der ,Ring' in einem ungewöhnlichen Experiment beides sein: Kompilation und Werkganzes, Wissenssammlung und Erzählwerk - Texte und Text. Als Ergebnis einer Neuuntersuchung des Münchner codex unicus des ,Ring' weist der Beitrag schliesslich darauf hin, dass auch zahlreiche Markierungszeichen am Spaltenrand formale und strukturelle Texteinschnitte anzeigen und somit die gleiche Funktion haben wie der Farbwechsel auf Mikroebene. Ein kausaler, produktionstechnischer Zusammenhang zwischen diesen Zeichen und der Verteilung des Farbwechsels ist nicht auszuschliessen, zumal beide Verfahren etwa im letzten Fünftel des Textes zunehmend zusammenfallen. Möglicherweise war nur die makrostrukturelle Funktion des Farbwechsel ursprünglich indendiert und mit der Erläuterung im Prolog bezeichnet, während seine mikrostrukturelle Funktion erst Resultat des Abschreibprozesses ist.

A test of Jessor's problem behavior theory in a Eurasian and a Western European developmental context.

PURPOSE: The current study tested the applicability of Jessor's problem behavior theory (PBT) in national probability samples from Georgia and Switzerland. Comparisons focused on (1) the applicability of the problem behavior syndrome (PBS) in both developmental contexts, and (2) on the applicability of employing a set of theory-driven risk and protective factors in the prediction of problem behaviors. METHODS: School-based questionnaire data were collected from n = 18,239 adolescents in Georgia (n = 9499) and Switzerland (n = 8740) following the same protocol. Participants rated five measures of problem behaviors (alcohol and drug use, problems because of alcohol and drug use, and deviance), three risk factors (future uncertainty, depression, and stress), and three protective factors (family, peer, and school attachment). Final study samples included n = 9043 Georgian youth (mean age = 15.57; 58.8% females) and n = 8348 Swiss youth (mean age = 17.95; 48.5% females). Data analyses were completed using structural equation modeling, path analyses, and post hoc z-tests for comparisons of regression coefficients. RESULTS: Findings indicated that the PBS replicated in both samples, and that theory-driven risk and protective factors accounted for 13% and 10% in Georgian and Swiss samples, respectively in the PBS, net the effects by demographic variables. Follow-up z-tests provided evidence of some differences in the magnitude, but not direction, in five of six individual paths by country. CONCLUSION: PBT and the PBS find empirical support in these Eurasian and Western European samples; thus, Jessor's theory holds value and promise in understanding the etiology of adolescent problem behaviors outside of the United States.

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.

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.

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.

Accurate and efficient simulation of multiphase flow in a heterogeneous reservoir by using error estimate and control in the multiscale finite-volume framework

The multiscale finite-volume (MSFV) method is designed to reduce the computational cost of elliptic and parabolic problems with highly heterogeneous anisotropic coefficients. The reduction is achieved by splitting the original global problem into a set of local problems (with approximate local boundary conditions) coupled by a coarse global problem. It has been shown recently that the numerical errors in MSFV results can be reduced systematically with an iterative procedure that provides a conservative velocity field after any iteration step. The iterative MSFV (i-MSFV) method can be obtained with an improved (smoothed) multiscale solution to enhance the localization conditions, with a Krylov subspace method [e.g., the generalized-minimal-residual (GMRES) algorithm] preconditioned by the MSFV system, or with a combination of both. In a multiphase-flow system, a balance between accuracy and computational efficiency should be achieved by finding a minimum number of i-MSFV iterations (on pressure), which is necessary to achieve the desired accuracy in the saturation solution. In this work, we extend the i-MSFV method to sequential implicit simulation of time-dependent problems. To control the error of the coupled saturation/pressure system, we analyze the transport error caused by an approximate velocity field. We then propose an error-control strategy on the basis of the residual of the pressure equation. At the beginning of simulation, the pressure solution is iterated until a specified accuracy is achieved. To minimize the number of iterations in a multiphase-flow problem, the solution at the previous timestep is used to improve the localization assumption at the current timestep. Additional iterations are used only when the residual becomes larger than a specified threshold value. Numerical results show that only a few iterations on average are necessary to improve the MSFV results significantly, even for very challenging problems. Therefore, the proposed adaptive strategy yields efficient and accurate simulation of multiphase flow in heterogeneous porous media.

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.

Yield gains of coffee plants from phosphorus fertilization may not be generalized for high density planting

Inconclusive responses of the adult coffee plant to phosphorus fertilization have been reported in the literature, especially when dealing with application of this nutrient in high density planting systems. Thus, this study was carried out for the purpose of assessing the response of adult coffee plants at high planting density in full production (in regard to yield and their biennial cycle/stability) to the addition of different sources and application rates of P in the Zona da Mata region of Minas Gerais, Brazil. The experiment with coffee plants of the Catucaí Amarelo 6/30 variety was carried out over four growing seasons. Treatments were arranged in a full factorial design [(4 × 3) + 1] consisting of four P sources (monoammonium phosphate, simple superphosphate, natural reactive rock phosphate from Algeria (Djebel-Onk), and FH 550®), three P rates (100, 200, and 400 kg ha-1 year-1 of P2O5), and an additional treatment without application of the nutrient (0 kg ha-¹ year-¹). A randomized block experimental design was used with three replicates. The four seasons were evaluated as subplots in a split plot experiment. The P contents in soil and leaves increased with increased rates of P application. However, there was no effect from P application on the yield and its biennial cycle/stability regardless of the source used over the four seasons assessed.

Generalized Weyl solutions

It was shown by Weyl that the general static axisymmetric solution of the vacuum Einstein equations in four dimensions is given in terms of a single axisymmetric solution of the Laplace equation in three-dimensional flat space. Weyls construction is generalized here to arbitrary dimension D>~4. The general solution of the D-dimensional vacuum Einstein equations that admits D-2 orthogonal commuting non-null Killing vector fields is given either in terms of D-3 independent axisymmetric solutions of Laplaces equation in three-dimensional flat space or by D-4 independent solutions of Laplaces equation in two-dimensional flat space. Explicit examples of new solutions are given. These include a five-dimensional asymptotically flat black ring with an event horizon of topology S1S2 held in equilibrium by a conical singularity in the form of a disk.