Analytic connections on Riemann surfaces and orbifolds

We give a differentially closed description of the uniformizing representation to the analytical apparatus on Riemann surfaces and orbifolds of finite analytic type. Apart from well-known automorphic functions and Abelian differentials it involves construction of the connection objects. Like functions and differentials, the connection, being also the fundamental object, is described by algorithmically derivable ODEs. Automorphic properties of all of the objects are associated to different discrete groups, among which are excessive ones. We show, in an example of the hyperelliptic curves, how can the connection be explicitly constructed. We study also a relation between classical/traditional `linearly differential' viewpoint (principal Fuchsian equation) and uniformizing $\tau$-representation of the theory. The latter is shown to be supplemented with the second (to the principal) Fuchsian equation.Comment: Final version. LaTeX, 16 pages. No figure

Dysfunctions of highly parallel real-time machines as 'developmental disorders': Security concerns and a Caveat Emptor

A cognitive paradigm for gene expression in developmental biology that is based on rigorous application of the asymptotic limit theorems of information theory can be adapted to highly parallel real-time computing. The coming Brave New World of massively parallel 'autonomic' and 'Self-X' machines driven by the explosion of multiple core and molecular computing technologies will not be spared patterns of canonical and idiosyncratic failure analogous to the developmental disorders affecting organisms that have had the relentless benefit of a billion years of evolutionary pruning. This paper provides a warning both to potential users of these machines and, given that many such disorders can be induced by external agents, to those concerned with larger scale matters of homeland security

Bridging the Accountability Gap: Rights for New Entities in the Information Society?

Technological developments in the information society bring new challenges, both to the applicability and to the enforceability of the law. One major challenge is posed by new entities such as pseudonyms, avatars, and software agents that operate at an increasing distance from the physical persons "behind" them (the "principal"). In case of accidents or misbehavior, current laws require that the physical or legal principal behind the entity be found so that she can be held to account. This may be problematic if the linkability of the principal and the operating entity is questionable. In light of the ongoing developments in electronic agents, there is sufficient reason to conduct a review of the literature in order to more closely examine arguments for and against legal personhood for some nonhuman acting entities. This article also includes a discussion of alternative approaches to solving the "accountability gap.

Ideal bases in constructions defined by directed graphs

The present article continues the investigation of visible ideal bases in constructions defined using directed graphs. Our main theorem establishes that, for every balanced digraph D and each idempotent semiring R with 1, the incidence semiring ID(R) of the digraph D has a convenient visible ideal basis BD(R). It also shows that the elements of BD(R) can always be used to generate two-sided ideals with the largest possible weight among the weights of all two-sided ideals in the incidence semiring

Ideal Basis in Constructions Defined by Directed Graphs

The present article continues the investigation of visible ideal bases in constructions defined using directed graphs. This notion is motivated by its applications for the design of classication systems. Our main theorem establishes that, for every balanced digraph and each idempotent semiring with identity element, the incidence semiring of the digraph has a convenient visible ideal basis. It also shows that the elements of the basis can always be used to generate ideals with the largest possible weight among the weights of all ideals in the incidence semiring

Commons - Whose Commons? Considering conceptual approaches to rural space of production

The article takes its point of departure in current suggestions stating that the idea of ‘commons’ could be a universal and normative guideline for how to organise a part of the interplay between nature and human activity. It is stated, that the concept in contemporary discourses has a widespread spectrum of connotations and is engaged for descriptive, prescriptive, and normative purposes. The content, character and meaning thus depend on context and dimensions in focus; the point is illustrated by means of the historical Danish commons. In a consecutive investigation of implicated concepts from social sciences (‘property rights’ being the starting point) it is similarly stated that implications cannot be determined ex ante. By means of elements from institutional economics and the sociology of space, suggestions for a conceptual framework are presented as basis for more detailed studies at a lower level of abstraction. Returned to Danish farming – but now in its contemporary settings – it is concluded that the framework of commons not adequately can be copied-and-pasted into present context due to the complex interconnectivity where local agriculture have boundless prerequisites and effects