La Inversión francesa en la canalización del Ebro: de la navegación al riego (1848-1904)

La Real Compañía de Canalización del Ebro, sociedad anónima constituida en 1852 con un capital nominal de 31,5 millones de pesetas, que tenía como objetivo fundamental abrir el Ebro a la navegación a vapor en base a un proyecto técnico elaborado por ingenieros franceses, tuvo que recurrir a inversores europeos para levantar su capital. Se trataría, pues, de una empresa equiparable en muchos aspectos –inversión en comunicaciones, elevado capital, dependencia de técnicos e inversores europeos– a las grandes compañías ferroviarias constituidas en España a mediados del siglo XIX. El fracaso en la navegación reorientó su actividad hacia el riego, siendo la empresa encargada de construir y explotar hasta 1966 estas infraestructuras en el Delta del Ebro. En este texto, después de referirnos a los diferentes intentos de canalización del Ebro relacionados con la navegación hasta mediados de siglo XIX, analizaremos los motivos de su evolución y la diferente actitud mantenida ante las oportunidades de negocio por los dos grandes sectores de accionistas, el capital catalán y el capital francés, hasta la salida de este último ocurrida entre 1878 y 1904. Asimismo, intentaremos mostrar como el ritmo de la inversión en la canalización se ajusta al de la inversión francesa en España, que iniciada en el siglo XVIII, se paraliza con la crisis del Antiguo Régimen, se intensifica a partir de la década de 1840 orientándose mayoritariamente hacia los sectores ferroviario y minero, e inicia un cierto repliegue a partir de la última década del siglo XIX.

Miguel de Unamuno and Heraclitus: from ‘The Eternal Elegy’ (‘La elegía eterna’) to ‘The Cut Flower’(‘La flor tronchada’)

The aim of this brief article is to demonstrate and analyze the influence of Heraclitus’s thought on some of the poems written by Miguel de Unamuno, in particular ‘La elegía eterna’ and ‘La flor tronchada’. At times –as in ‘La elegía eterna’– Heraclitus merely serves as a sort of a walking stick, an aid to his efforts to poetically reveal his anxieties. On other occasions –as in ‘La flor tronchada’– he genuinely needs Heraclitus’s philosophy to illustrate his view of human life and its relation to God as unending warfare.

Sherali-Adams Relaxations and Indistinguishability in Counting Logics

Two graphs with adjacency matrices $\mathbf{A}$ and $\mathbf{B}$ are isomorphic if there exists a permutation matrix $\mathbf{P}$ for which the identity $\mathbf{P}^{\mathrm{T}} \mathbf{A} \mathbf{P} = \mathbf{B}$ holds. Multiplying through by $\mathbf{P}$ and relaxing the permutation matrix to a doubly stochastic matrix leads to the linear programming relaxation known as fractional isomorphism. We show that the levels of the Sherali--Adams (SA) hierarchy of linear programming relaxations applied to fractional isomorphism interleave in power with the levels of a well-known color-refinement heuristic for graph isomorphism called the Weisfeiler--Lehman algorithm, or, equivalently, with the levels of indistinguishability in a logic with counting quantifiers and a bounded number of variables. This tight connection has quite striking consequences. For example, it follows immediately from a deep result of Grohe in the context of logics with counting quantifiers that a fixed number of levels of SA suffice to determine isomorphism of planar and minor-free graphs. We also offer applications in both finite model theory and polyhedral combinatorics. First, we show that certain properties of graphs, such as that of having a flow circulation of a prescribed value, are definable in the infinitary logic with counting with a bounded number of variables. Second, we exploit a lower bound construction due to Cai, Fürer, and Immerman in the context of counting logics to give simple explicit instances that show that the SA relaxations of the vertex-cover and cut polytopes do not reach their integer hulls for up to $\Omega(n)$ levels, where $n$ is the number of vertices in the graph.

The Next Step: Darwin, Brontë, Fowles

The present article proposes Heathcliff and Sarah Woodruff as monstrous beings who reclaim their desire to be agent subjects in a society and a narrative which deny such a possibility. It would be possible to argue, however, that their monstrosity might be that of the unique specimen, the potential first stage towards the improvement of species through natural selection as theorized by Charles Darwin in 1859. The multiple references to Darwin’s study in the novel by JohnFowles demonstrate that such a theory could clarify what Sarah represents in the novel. In a retroactive manner, Darwinian theory might be used to understand what Heathcliff is, who Heathcliff is, and why he is the object of general animosity. It might be concluded that what is really monstrous about these twocharacters is that both are new specimens, avant la lèttre, and they occupy a space to which language has no access.