There are nine antirealist explanations of the success of science in the literature. I raise difficulties against all of them except the latest one, and then construct a pessimistic induction that the latest one will turn out to be problematic because its eight forerunners turned out to be problematic. This pessimistic induction is on a par with the traditional pessimistic induction that successful present scientific theories will be revealed to be false because successful past scientific theories were revealed to be false., V literatuře existuje devět antirealistických vysvětlení úspěchu vědy. Vyvolávám obtíže proti všem, s výjimkou posledního, a pak buduji pesimistickou indukci, že poslední z nich bude problematická, protože osm předchůdců se ukázalo jako problematické. Tato pesimistická indukce je na stejné úrovni s tradiční pesimistickou indukcí, že úspěšné současné vědecké teorie budou odhaleny jako nepravdivé, protože úspěšné minulé vědecké teorie byly odhaleny jako nepravdivé., and Seungbae Park
Motivated by applications to transition semigroups, we introduce the notion of a norming dual pair and study a Pettis-type integral on such pairs. In particular, we establish a sufficient condition for integrability. We also introduce and study a class of semigroups on such dual pairs which are an abstract version of transition semigroups. Using our results, we give conditions ensuring that a semigroup consisting of kernel operators has a Laplace transform which also consists of kernel operators. We also provide conditions under which a semigroup is uniquely determined by its Laplace transform.
In this paper is proved a weighted inequality for Riesz potential similar to the classical one by D. Adams. Here the gain of integrability is not always algebraic, as in the classical case, but depends on the growth properties of a certain function measuring some local potential of the weight.
This paper presents a novel error-feedback practical solution for real-time implementation of nonlinear output regulation. Sufficient and necessary conditions for both state- and error-feedback output regulation have been established for linear and nonlinear systems several decades ago. In their most general form, these solutions require solving a set of nonlinear partial differential equations, which may be hard or even impossible to solve analytically. In recent years, a methodology for dynamic calculation of the mappings required for state-feedback regulation has been put forward; following the latter, an error-feedback extension is hereby provided which, when combined with design conditions in the form of linear matrix inequalities, becomes suitable for real-time setups. Real-time results are presented for a nonlinear twin rotor MIMO system. Issues concerning the implementation as well as the solutions adopted, are discussed.
The existence of a positive solution for the generalized predator-prey model for two species $$ \begin{gathered} \Delta u + u(a + g(u,v)) = 0\quad \mbox {in}\ \Omega ,\\ \Delta v + v(d + h(u,v)) = 0\quad \mbox {in} \ \Omega ,\\ u = v = 0\quad \mbox {on}\ \partial \Omega , \end{gathered} $$ are investigated. The techniques used in the paper are the elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties of the solution of logistic equations.
Th e article reads the Czech literary canon during the period from 1948 to 1989 not from a consciously feminist standpoint, but from a gender perspective. Following works of Michel Foucault, Judith Butler, and Wendy Brown, the article’s primary focus is on fi ction written by dissent and alternative writers, with an emphasis on their role in what the author calls “dispositives of silence,” consisting of the discursive emergence of silencing and the aff ective dimension of “injurious attachments.” Th e article holds that while the dissident and alternative literary scene’s opposition to the then-offi cial regime made the need for political opposition clearly visible to it, other issues, such as the drive towards gender equality, became invisible to it, which represents a case of injurious attachments. In the article’s interpretative part, it reads literary works by writers Iva Pekárková, Tereza Boučková, and Pavel Kohout as examples that illustrate the issue of injurious attachments. In the article’s fi nal part, it supplements its thesis on dissident and alternative literature of the 1948–1989 period with a brief sketch of the literary evolution during the period, and it presents an overview of fi ve major – and partly contradictory – tendencies that can be identifi ed in the four decades in question.
In this survey we consider superlinear parabolic problems which possess both blowing-up and global solutions and we study a priori estimates of global solutions.