Contiguous Relations Research Articles

Cuando la contigüidad no es suficiente: bloqueo en relaciones de equivalencia

El fenómeno de bloqueo describe una circunstancia en la cual se impide o se dificulta el la transferencia de funciones entre eventos que se han presentado en una relación de contigüidad espacio-temporal. Desde una perspectiva teórica y empírica, el efecto bloqueo no debería predecirse en la adquisición de clases de estímulos aun cuando algunos de los estímulos de la misma clase se presenten simultáneamente. El presente estudio examina si la historia adicional de entrenamiento A-EI bien sea previa o posterior al entrenamiento con un estímulo muestra compuesto AX, es la variable crítica en la presentación del efecto bloqueo. Los desempeños obtenidos en las pruebas de bloqueo por los participantes de un grupo expuesto al procedimiento de bloqueo, un grupo expuesto al procedimiento de bloqueo invertido, y un grupo control, sugieren que el entrenamiento adicional con un solo elemento del compuesto no impide la inclusión de todos los estímulos dentro de la clase. Los casos en los que se observó el efecto bloqueo se interpretan en términos de tipos de percepciones elementales y configurales.

Banished with No Force: Exile and Metonymy in Cicero's Pro Caecina Oratio

This article explores the use of metonymic force in exilic practices during the late period of the Roman republic. This type of force is shown to be fundamentally different from the one deployed in sacratio as defined by Agamben. While homo sacer is displaced from law but remains within the reach of sovereign power, metonymic force takes advantage of one's voluntary departure into a different jurisdiction and aims to prolong and perpetuate this displacement. This paradigm is explored in two case studies brought forward in Cicero's speech Pro Caecina: aquae et ignis interdictio in Roman criminal law and deiectio in private property suits. In both cases, force is encoded―and made unaccountable―in a rhetorical way, through the reversal of contiguity relations in space and time. Finally, by looking at Cicero's own exile, the article argues that metonymic force does more than effecting displacement within discrete legal realms; it also brings a surreptitious displacement of exile's restitutive claims from one realm into another.

A RESEARCH ON SPATIAL TOPOLOGICAL ASSOCIATION RULES MINING

Abstract. Spatial association rules mining is a process of acquiring information and knowledge from large databases. Due to the nature of geographic space and the complexity of spatial objects and relations, the classical association rule mining methods are not suitable for the spatial association rule mining. Classical association rule mining treats all input data as independent, while spatial association rules often show high autocorrelation among nearby objects. The contiguous, adjacent and neighboring relations between spatial objects are important topological relations. In this paper a new approach based on topological predictions to discover spatial association rules is presented. First, we develop a fast method to get the topological relationship of spatial data with its algebraic structure. Then the interested spatial objects are selected. To find the interested spatial objects, topological relations combining with distance were used. In this step, the frequent topological predications are gained. Next, the attribute datasets of the selected interested spatial objects are mined with Apriori algorithm. Last, get the spatial topological association rules. The presented approach has been implemented and tested by the data of GDP per capita, railroads and roads in China in the year of 2005 at county level. The results of the experiments show that the approach is effective and valid.

Contiguous relations for 2F1 hypergeometric series

Abstract Two Gauss functions are said to be contiguous if they are alike except for one pair of parameters, and these differ by unity. Contiguous relations are of great use in extending numerical tables of the function. In this paper we will introduce a new method for computing such types of relations.

Recursion formulas for Appell functions

Inspired by the recent work of Opps, Saad and Srivastava, who gave the recursion formulas of Appell’s function F 2 by the contiguous relation of the Gauss hypergeometric series 2 F 1, we establish the recursion formulas for Appell functions F 1, F 2, F 3 and F 4 by the contiguous relations of hypergeometric series.

Topological theory for Selberg type integral associated with rigid Fuchsian systems

Using the analytic realization of middle convolution due to Dettweiler and Reiter, we show that any rigid Fuchsian system can be obtained as a subsystem of some generating system which has an integral representation of solutions of Selberg type. Twisted homology groups and twisted cohomology groups associated with such integrals are studied. In particular, contiguity relations and twisted cycles which realize local exponents are obtained.

On some new contiguous relations for the Gauss hypergeometric function with applications

Contiguous relations for hypergeometric series contain an enormous amount of hidden information. Applications of contiguous relations range from the evaluation of hypergeometric series to the derivation of summation and transformation formulas for such series. In this paper, a new set of contiguous function relations are established. Applications of such relations to hypergeometric summation formulas and the theory of Jacobi polynomials are presented.

Contiguity matrix of spatial units and its properties on example of land districts of Podkarpackie province

Spatial units are an important carrier of numerical data on tested statistical characteristics of selected social-economic phenomena. They are in the relation of contiguity to one another, which can be expressed by the binary matrix of contiguity. Its 1-elements indicate occurrence of common boundary, and zeros – no boundary. In the work various divisions of spatial units have been presented as well as their properties and description of contiguity allowing determination of the contiguity matrix. It stands out with many analytical properties. Its illustration has been shown on land districts of Podkarpackie Province.

The Riemann-Wirtinger Integral and Monodromy-Preserving Deformation on Elliptic Curves

We study the functions defined by definite integrals whose integrands are power products of an exponential function and theta functions, which we call the Riemann-Wirtinger integrals. We show that those functions describe special solutions to the monodromy-preserving deformation of Fuchsian differential equations on elliptic curves. In addition, we establish some basic properties of the Riemann-Wirtinger integral: difference equations for the shifts of parameters (contiguity relations), computations of monodromy matrices, and description of modular transformation properties.

Charles Darwin and the Evolution of Human Grammatical Systems

Charles Darwin's evolutionary theories of animal communication were deeply embedded in a centuries-old model of association psychology, whose prodromes have most often been traced to the writings of Aristotle. His notions of frequency of occurrence of pairings have been passed down through the centuries and were a major ontological feature in the formation of associative connectivity. He focused on the associations of cause and effect, contiguity of sequential occurrence, and similarity among items. Cause and effect were often reduced to another type of contiguity relation, so that Aristotle is most often evoked as the originator of the associative bondings through similarity and contiguity, contiguity being the most powerful and frequent means of association. Contiguity eventually became the overriding mechanism for serial ordering of mental events in both perception and action. The notions of concatenation throughout the association psychology took the form of “trains” of events, both sensory and motor, in such a way that serial ordering came to be viewed as an item-by-item string of locally contiguous events. Modern developments in the mathematics of serial ordering have advanced in sophistication since the early and middle twentieth century, and new computational methods have allowed us to reevaluate the serial concatenative theories of Darwin and the associationists. These new models of serial order permit a closer comparative scrutiny between human and nonhuman. The present study considers Darwin's insistence on a “degree” continuity between human and nonhuman animal serial ordering. We will consider a study of starling birdsongs and whether the serial ordering of those songs provides evidence that they have a syntax that at best differs only in degree and not in kind with the computations of human grammatical structures. We will argue that they, in fact, show no such thing.

Mementoes and the Memory of the Reader in L'Éducation sentimentale

Objects do not simply appear in L' Éducation sentimentale; they reappear. The memory of the reader is solicited in order to establish links between different occurrences of the same object, or closely related objects reappearing within a paradigm. Three main objects are examined in this article: the series of bracelets; the parasol; and Madame Arnoux's coffer. Flaubert uses these inanimate objects not only as traditional 'realist' metonyms standing for money, industrial art, or a social type, but also as clues pointing towards whole narrative segments that are never otherwise made explicit. Objects thus have a diegetic function, effectively working as narrative synecdoches. At times they also function through misplaced metonymy, that is, a relation of contiguity in which one object is substituted for another in an inappropriate way. Objects invite the reader to fill in the famous 'gaps' in the novel, in a way that is sometimes misleading. The act of misreading is thus an integral part of L'Éducation sentimentale.

Discriminants of Chebyshev-like polynomials and their generating functions

In his paper of 2000, Kenneth B. Stolarsky made various observations and conjectures about discriminants and generating functions of certain types of Chebyshev-like polynomials. We prove several of these conjectures. One of our proofs involves Wilf-Zeilberger pairs and a contiguous relation for hypergeometric series.

ON THE COMPUTATIONS OF CONTIGUOUS RELATIONS FOR2F1HYPERGEOMETRIC SERIES

Contiguous relations for hypergeometric series contain an enormous amount of hidden information. Applications of contiguous rela- tions range from the evaluation of hypergeometric series to the derivation of summation and transformation formulas for such series. In this paper, a general formula joining three Gauss functions of the form 2F1(a1,a2;a3;z) with arbitrary integer shifts is presented. Our analysis depends on using shifted operators attached to the three parameters a1,a2 and a3. We also, discussed the existence condition of our formula. The theory of generalized hypergeometric function is fundamental in the field of mathematics and mathematical physics. Most of the functions that occur in the analysis are special cases of the hypergeometric functions. Professor John Wallis in his work Arithmetica Infinitorum (1655), first used the term hypergeometric to denote any series which was beyond the ordinary geometric series. In fact, he studied the series

Od „Zarysu teorii nonsensu” do czystego nonsensu w życiu codziennym

Contrary to common conviction, which treats pure nonsense and logic as a relation of incompatibility and incongruity, it is the relation of contiguity that appears to be fundamental for the principle of the paralogic of pure nonsense. Like in the poetry of nonsense also even nonsensical jokes or absurd situations appear to be peculiarly logical (i.e. paralogical). Studies of metaphor and panegyric seem to be this trope, which most closely leads to the goal which is a theory of literature view of pure nonsense.

Depicting by gesture

This paper deals with ways in which gestural “pictures” are made, i.e., manual depictions of phenomena in the world. The view that “iconic” gestures uniformly function by way of some resemblance between signifier and signified is rejected, giving way to an understanding of depiction by gesture as the achievement of a heterogeneous set of practices, some of which rely on relations of contiguity or indexicality to evoke commonly known objects or scenes. Others seem to be derivative of other representation methods (e.g., drawing on surfaces). The paper reviews some existing work on gestural depiction methods, offers a working heuristics, and illustrates some of its categories. It is suggested that some of the basic ways in which actions of the hands evoke the world in gesture correspond to fundamental modes of existence and activity of human hands in the world: hands depict by enacting their familiar, “real-world” capacities as users, transporters, experiencers, assemblers, molders, and shapers of things.

Recursion formulas for Appell’s hypergeometric function [formula omitted] with some applications to radiation field problems

Using some contiguous function relations for the classical Gauss hypergeometric series 2 F 1 , we establish a number of new recursion formulas for the Appell functions F 2 ( σ , α 1 , α 2 ± n ; β 1 , β 2 ; x , y ) and F 2 ( σ , α 1 , α 2 ; β 1 , β 2 ± n ; x , y ) , where n ∈ N 0 ≔ { 0 , 1 , 2 , … } = N ∪ { 0 } . Some important applications of our results to the evaluation of radiation field integrals are discussed and a listing of some useful reduction (and transformation) formulas is provided.

Quantum Painlevé equations: from continuous to discrete and back

We present a cascade of quantum Painleve equations consisting in successive contiguity relations, whereupon starting form a continuous equations we obtain a discrete one, and continuous limits of the latter. We start from the quantum Painleve V and in the process derive the quantum form of continuous PIII which was missing in previous studies.

Quantum Painlevé Equations: from Continuous to Discrete

We examine quantum extensions of the continuous Painlev\'e equations, expressed as systems of first-order differential equations for non-commuting objects. We focus on the Painlev\'e equations II, IV and V. From their auto-B\"acklund transformations we derive the contiguity relations which we interpret as the quantum analogues of the discrete Painlev\'e equations.

Contiguity relations for discrete and ultradiscrete Painlevé equations

We show that the solutions of ultradiscrete Painlevé equations satisfy contiguity relations just as their continuous and discrete counterparts. Our starting point are the relations for q-discrete Painlevé equations which we then proceed to ultradiscretise. In this paper we obtain results for the one-parameter q-PIII, the symmetric q-PIV and the q-PIV. These results show that there exists a perfect parallel between the properties of continuous, discrete and ultradiscrete Painlevé equations.

Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions

AbstractIn 1991, one of the authors showed the existence of quadratic transformations between the Painlevé VI equations with local monodromy differences (1/2, a, b, ±1/2) and (a, a, b, b). In the present paper we give concise forms of these transformations. They are related to the quadratic transformations obtained by Manin and Ramani–Grammaticos–Tamizhmani via Okamoto transformations. To avoid cumbersome expressions with differentiation, we use contiguous relations instead of the Okamoto transformations. The 1991 transformation is particularly important as it can be realized as a quadratic‐pull back transformation of isomonodromic Fuchsian equations. The new formulas are illustrated by derivation of explicit expressions for several complicated algebraic Painlevé VI functions. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)