Construction of complex potentials for multiply connected domain

The method of reduction of a Fredholm integral equation to the linear system is generalized to construction of a complex potential – an analytic function in an unbounded multiply connected domain with a simple pole at infinity which maps the domain onto a plane with horizontal slits. We consider a locally sourceless, locally irrotational flow on an arbitrary given 𝑛-connected unbounded domain with impermeable boundary. The complex potential has the form of a Cauchy integral with one linear and 𝑛 logarithmic summands. The method is easily computable.

Carl Menger's Grundsätze as a Foundation for Contemporary Entrepreneurship Research

This paper takes the subjective value theory, conception of economic goods, and the hierarchy of needs from Carl Menger's Grundsätze der Volkswirtschaftslehre (1871) to elaborate a model of strategic entrepreneurship. Menger's account of subjective valuation by buyers of goods in market exchange fills a gap in most conceptual approaches to entrepreneurship, which are based on a highly impermeable boundary around the entrepreneurial firm. We examine how this account "closes" an economic model of entry for an entrepreneurial firm in an existing rivalry network by making the assessment of value explicit with respect to buyer needs relative to goods sold by incumbent firms. A formal representation of Menger's needs hierarchy in the face of qualitatively different market goods is the centerpiece of the strategic entrepreneurship model. This conceptual model is tied to methods of eliciting subjective valuations of product attributes and buyer needs fulfilment from the literatures of consumer behavior, marketing, and organizational psychology. This serves as a methodological basis for scholarship in entrepreneurship.

Unity of the Individual and the Collective

This chapter undertakes a conceptual analysis of the relationship between the individual and the collective with a view to understanding the processes and conditions, which bring about ‘unity’ of the two within diverse cultures. The individual is seen as being constituted by several types of selves, which seek unity with several types of collectives. The chapter discusses the processes and factors that explain how a collective comes to inhabit the individual, and individual the collective. Another question that is examined is how certain processes and cultural contexts create permeable and impermeable boundary conditions between self and the other, between the individual and the collective. The chapter draws from the discourses and approaches in disciplines other than psychology.

Aristotle and Crossing the Boundaries between the Sciences

On the basis of what Aristotle says in the Posterior Analytics about how sciences are differentiated and about the impermissibility (save in some exceptional cases) of ‘kind-crossing’, many commentators suppose that when it comes to his scientific practice, Aristotle treats the boundaries of the sciences as impermeable, so that if subject-matter X is the business of one science, it simply cannot (save for the exceptional cases) be the business of another. I call this the impermeable boundary theory of the sciences: knowledge is divided into watertight compartments, determined by their distinct genera, and what goes on in one compartment cannot turn up in another. I argue that, even if this is a correct account of Aristotle’s position in the Analytics, the view that he accepts the impermeable boundary theory when it comes to his scientific and philosophical work outside the Analytics is simply untenable.

Non-Russian Language Space and Border in Russian Karelian Literature

This article examines Finnish language literature in Russian Karelia on the Russian–Finnish national borderland from the 1940s until the 1970s. It focuses on the concepts of the non-Russian language space and border that are constructed and studied in the context of three novels: Iira (1947), Tiny White Bird (1961), and We Karelians (1971). The article claims that the non-Russian language space and the national border started to be understood differently from the official degrees dictated by Moscow, as found in literature already from the late 1950s and early 1960s. From the 1950s onwards, the historical, linguistic, and cultural roots across the national border and the Finnish population were allowed to be recognized in literature. Furthermore, this article claims that in the 1970s, literature was able to represent such regional history, and also the closeness and permeability of the national border that influenced the lives of the Soviet Karelian non-Russian speaking population and their identity formation. This led to different ideas of the national border, in which the border and its functions and meanings became gradually more multi-voiced, ambivalent and controversial, in comparison to the conceptualization of the border as presenting a strict, impermeable boundary.

Parameter Inversion of Field Pumping Test in Aquifer with Enclosed Impermeable Boundary

Theis formula derived under the circumstance of unsteady flow pumping in infinite aquifer without impermeable boundary is the representation of analytic method solving unsteady well flow problem, which can not be applied to the case of impermeable boundary just limited by its premise condition: “infinite permeable border”. In this paper, the well flow model of pumping in aquifer with unsealed impermeable boundary is researched based on mapping theory and superposition principle. And then this model is applied to a typical field pumping test in Pudong working shaft deep foundation of South Xizang road river-crossing tunnel. The results show that the slope of draw down and pumping duration time curve will increase while the surrounding impermeable boundary comes into play.