On a Construction of Some Class of Metric Spaces

In this talk we are going to describe Sz´az’s construction of some class of metric spaces. Most of all we will analyze topological properties of metric spaces obtained by using Sz´az’s construction. In particular, we provide necessary and sufficient conditions for completeness of metric spaces obtained in this way. Moreover, we will discuss the relation between Sz´az’s construction and the “linking construction”. A particular attention will be drawn to the “floor” metric, the analysis of which provides some interesting observations

On the recursive and explicit form of the general J.C.P. Miller formula with applications

The famous J.C.P. Miller formula provides a recurrence algorithm for the composition $B_a \circ f$, where $B_a$ is the formal binomial series and $f$ is a formal power series, however it requires that $f$ has to be a nonunit. In this paper we provide the general J.C.P. Miller formula which eliminates the requirement of nonunitness of $f$ and, instead, we establish a necessary and sufficient condition for the existence of the composition $B_a \circ f$. We also provide the general J.C.P. Miller recurrence algorithm for computing the coefficients of that composition, if $B_a\circ f$ is well defined, obviously. Our generalizations cover both the case in which $f$ is a one--variable formal power series and the case in which $f$ is a multivariable formal power series. In the central part of this article we state, using some combinatorial techniques, the explicit form of the general J.C.P. Miller formula for one-variable case. As applications of these results we provide an explicit formula for the inverses of polynomials and formal power series for which the inverses exist, obviously. We also use our results to investigation of approximate solution to a differential equation which cannot be solved in an explicit way

HISTORIA HISTORIOGRAFII JAKO HISTORIA PRAWDY. DWUGŁOS O PODSTAWACH TEORETYCZNYCH HISTORII HISTORIOGRAFII JERZEGO TOPOLSKIEGO

In this article we refl ect on the theoretical foundations of Jerzy Topolski’s history of historiography. In the fi rst part of the text, entitled “On truth in historiography – pragmatically and idealistically,” Maria Solarska shows the relationship between Topolski’s theory of truth and his view of the community of historians, of that community’s methodological and ethical rules. In the second part of the text, “Historiography between truth and myth,” Maciej Bugajewski raises a question about Topolski’s defi nition of the diff erence between truth and myth. In our opinion Topolski wanted to see the history of historiography as the history of truth about the past.In this article we refl ect on the theoretical foundations of Jerzy Topolski’s history of historiography. In the fi rst part of the text, entitled “On truth in historiography – pragmatically and idealistically,” Maria Solarska shows the relationship between Topolski’s theory of truth and his view of the community of historians, of that community’s methodological and ethical rules. In the second part of the text, “Historiography between truth and myth,” Maciej Bugajewski raises a question about Topolski’s defi nition of the diff erence between truth and myth. In our opinion Topolski wanted to see the history of historiography as the history of truth about the past

WSPÓLNOTA I ZMIANA. DWUGŁOS O PRZECIW-HISTORII

In this article the authors raise the question of how to understand the concept of counter-history. In addition, the authors deal with the relationship between counter-history and historiography. In the fi rst part of the text, Counter history and the construction of the community, Maria Solarska refers to the diff erence between the legal-philosophical discourse and the historicopolitical discourse, the diff erence worked out by Michel Foucault. Th e second part of the text, Historiography as a form of counter-history, Maciej Bugajewski refers to Walter Benjamin’s On the concept of history and analyzes the counter-history as a practice of change in real history.In this article the authors raise the question of how to understand the concept of counter-history. In addition, the authors deal with the relationship between counter-history and historiography. In the fi rst part of the text, Counter history and the construction of the community, Maria Solarska refers to the diff erence between the legal-philosophical discourse and the historicopolitical discourse, the diff erence worked out by Michel Foucault. Th e second part of the text, Historiography as a form of counter-history, Maciej Bugajewski refers to Walter Benjamin’s On the concept of history and analyzes the counter-history as a practice of change in real history

SŁOWO O HISTORII HISTORIOGRAFII cz. 2

SŁOWO O HISTORII HISTORIOGRAFII cz.

LaSalvia, Jerry (FA 1065)

Finding aid only for Folklife Archives Project FA 1065. Student folk studies project titled: “Herb Medicine,” which includes survey sheets with remedies, cures and practices related to herb medicine in Bullitt County, Kentucky. Sheets include remedies, cures, beliefs, informant’s name and address, and motif index number