Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations

In this paper we construct the autonomous quad-equations which admit as symmetries the five-point differential-difference equations belonging to known lists found by Garifullin, Yamilov and Levi. The obtained equations are classified up to autonomous point transformations and some simple non-autonomous transformations. We discuss our results in the framework of the known literature. There are among them a few new examples of both sine-Gordon and Liouville type equations.Comment: 27 page

Darboux integrability of trapezoidal H4H^{4} and H6H^{6} families of lattice equations I: First integrals

In this paper we prove that the trapezoidal $H^{4}$ and the $H^{6}$ families of quad-equations are Darboux integrable systems. This result sheds light on the fact that such equations are linearizable as it was proved using the Algebraic Entropy test [G. Gubbiotti, C. Scimiterna and D. Levi, Algebraic entropy, symmetries and linearization for quad equations consistent on the cube, \emph{J. Nonlinear Math. Phys.}, 23(4):507543, 2016]. We conclude with some suggestions on how first integrals can be used to obtain general solutions.Comment: 34 page

Enacting Productive Dialogue: Addressing the Challenge that Non-Human Cognition Poses to Collaborations Between Enactivism and Heideggerian Phenomenology

This chapter uses one particular proposal for interdisciplinary collaboration – in this case, between early Heideggerian phenomenology and enactivist cognitive science – as an example of how such partnerships may confront and negotiate tensions between the perspectives they bring together. The discussion begins by summarising some of the intersections that render Heideggerian and enactivist thought promising interlocutors for each other. It then moves on to explore how Heideggerian enactivism could respond to the challenge of reconciling the significant differences in the ways that each discourse seeks to apply the structures it claims to uncover

Complexity and integrability in 4D bi-rational maps with two invariants

In this letter we give fourth-order autonomous recurrence relations with two invariants, whose degree growth is cubic or exponential. These examples contradict the common belief that maps with sufficiently many invariants can have at most quadratic growth. Cubic growth may reflect the existence of non-elliptic fibrations of invariants, whereas we conjecture that the exponentially growing cases lack the necessary conditions for the applicability of the discrete Liouville theorem.Comment: 16 pages, 2 figure

A multiple scales approach to maximal superintegrability

In this paper we present a simple, algorithmic test to establish if a Hamiltonian system is maximally superintegrable or not. This test is based on a very simple corollary of a theorem due to Nekhoroshev and on a perturbative technique called multiple scales method. If the outcome is positive, this test can be used to suggest maximal superintegrability, whereas when the outcome is negative it can be used to disprove it. This method can be regarded as a finite dimensional analog of the multiple scales method as a way to produce soliton equations. We use this technique to show that the real counterpart of a mechanical system found by Jules Drach in 1935 is, in general, not maximally superintegrable. We give some hints on how this approach could be applied to classify maximally superintegrable systems by presenting a direct proof of the well-known Bertrand's theorem.Comment: 30 pages, 4 figur

Next-to-leading order QCD predictions for W+W+jj production at the LHC

Because the LHC is a proton-proton collider, sizable production of two positively charged W-bosons in association with two jets is possible. This process leads to a distinct signature of same sign high-pt leptons, missing energy and jets. We compute the NLO QCD corrections to the QCD-mediated part of pp -> W+W+jj. These corrections reduce the dependence of the production cross-section on the renormalization and factorization scale to about +- 10 percent. We find that a large number of W+W+jj events contain a relatively hard third jet. The presence of this jet should help to either pick up the W+W+jj signal or to reject it as an unwanted background.Comment: 15 pages, 5 (lovely) figures, v3 accepted for publication in JHEP, corrects tables in appendi

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Los esfuerzos para reducir los consumos de agua en el cultivo de la fresa deben ir orientados tanto a optimizar los calendarios de riego, como tambi&eacute;n a conocer la capacidad del sistema de riego para aplicar el agua en tiempo y forma adecuada.En este documento se presentan resultados de evaluaciones realizadas en condiciones de campo para comparar la uniformidad de distribuci&oacute;n del riego obtenida, usando cintas de riego de distintos caudales nominales y diferentes duraciones de los pulsos de riego.</p

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La evaluaci&oacute;n de un sistema de riego con lateral de desplazamiento frontal es una pr&aacute;ctica que ayuda a conocer si la instalaci&oacute;n y el manejo que se realiza re&uacute;nen las condiciones necesarias para aplicar los riegos adecuadamente. Se trata, en definitiva, de cubrir las necesidades de agua del cultivo para la obtenci&oacute;n de m&aacute;ximas producciones y, al mismo tiempo, minimizar las p&eacute;rdidas de agua. En este documento se describe el Procedimiento para llevar a cabo la evaluaci&oacute;n de una instalaci&oacute;n de riego con lateral de desplazamiento frontal. Tambi&eacute;n se incluye un Formulario para la recopilaci&oacute;n de datos de campo durante la realizaci&oacute;n de la misma. La informaci&oacute;n se completa con el documento titulado "Programa de C&aacute;lculo para Evaluaciones de Laterales de Desplazamiento Frontal", disponible en SERVIFAPA, en el apartado "Software" del sector Riego.</p

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La evaluaci&oacute;n de un sistema de riego por superficie es una pr&aacute;ctica que ayuda a conocer si la aplicaci&oacute;n del agua se hace de manera uniforme y si todo el cultivo recibe cantidades de agua similares. Se trata, en definitiva, de cubrir las necesidades de agua del cultivo para la obtenci&oacute;n de m&aacute;ximas producciones y, al mismo tiempo, minimizar las p&eacute;rdidas de agua. En este documento se describe el Procedimiento para llevar a cabo la evaluaci&oacute;n de un sistema de riego por superficie. Tambi&eacute;n se incluye un Formulario para la recopilaci&oacute;n de datos de campo durante la realizaci&oacute;n de la misma. La informaci&oacute;n se completa con el documento titulado "Programa de C&aacute;lculo para Evaluaciones de Riego por Superficie", disponible en SERVIFAPA, en el apartado "Software" del sector Riego.</p