Mutating Monsters: Approaches to “Living Texts” of the Carolingian Era

Scholars of pre-modern legal history face interesting problems with the interpretation of their materials because the ideal of fixed written laws is compromised by the variability in handwritten transcription of the texts. The variability may lead to inadvertently peculiar readings of the law in specific instances, or may have resulted from deliberate manipulation of the texts to adapt them to particular interests or circumstances. While such textual evolution occurs in many professional fields (medicine, music, liturgy, etc.), it raises especially interesting questions in the field of legal studies because of the implications for the authority of the text and the threshold of “forgery.” This paper investigates new methods for assessing the relationship between “standard” versions of legal texts and the degree and frequency of alteration in manuscript witnesses, using the Carolingian Canon Law project as one possible model for using a digital environment to study the histories of “living texts”, that is, texts that potentially mutate in each manuscript representation

Boundary Integral Equations for the Laplace-Beltrami Operator

We present a boundary integral method, and an accompanying boundary element discretization, for solving boundary-value problems for the Laplace-Beltrami operator on the surface of the unit sphere $\S$ in $\mathbb{R}^3$. We consider a closed curve ${\cal C}$ on ${\cal S}$ which divides ${\cal S}$ into two parts ${\cal S}_1$ and ${\cal S}_2$. In particular, ${\cal C} = \partial {\cal S}_1$ is the boundary curve of ${\cal S}_1$. We are interested in solving a boundary value problem for the Laplace-Beltrami operator in $\S_2$, with boundary data prescribed on \C

The T-PEN Tool: Sustainability and Quality Control in Encoding Handwritten Texts

The Center for Digital Theology and the Carolingian Canon Law (CCL) Project will collaborate to develop a Transcription-Paleographic and Editing Notation (T-PEN) Tool. Using digitized images of medieval manuscripts, this tool will assist scholars in the transcription of such sources and will allow automatic insertion of markup of textual features during the transcription process. T-PEN will be a new research tool in the CCL, permitting any number of scholars to submit their transcriptions of unpublished texts of early medieval canon law. Moreover, T-PEN will assist the CCL in maintaining quality control of transcriptions, as it will supply continuous comparison of manuscript image and the transcriber's work in a transparent display. It supports easy and immediate insertion of annotations (paleographic, discursive, and bibliographic), insertion of TEI P5 markup according to project protocols and validation against the schema during the transcription process

On the uniqueness of LpL_p-Minkowski problems: the constant pp-curvature case in R3\mathbb{R}^3

We study the $C^4$ smooth convex bodies $\mathbb{K}\subset\mathbb{R}^{n+1}$ satisfying $K(x)=u(x)^{1-p}$, where $x\in\mathbb{S}^n$, $K$ is the Gauss curvature of $\partial\mathbb{K}$, $u$ is the support function of $\mathbb{K}$, and $p$ is a constant. In the case of $n=2$, either when $p\in[-1,0]$ or when $p\in(0,1)$ in addition to a pinching condition, we show that $\mathbb{K}$ must be the unit ball. This partially answers a conjecture of Lutwak, Yang, and Zhang about the uniqueness of the $L_p$-Minkowski problem in $\mathbb{R}^3$. Moreover, we give an explicit pinching constant depending only on $p$ when $p\in(0,1)$.Comment: references update

Deep-sea corals : a new oceanic archive

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences, 1998.Vita.Includes bibliographical references.by Jess F. Adins.Ph.D

Statistical Methods by SAS. Annotated Output from SAS for Selected Examples from Statistical Methods, Snedecor and Cochran

52 pages, 1 article*Statistical Methods by SAS. Annotated Output from SAS for Selected Examples from Statistical Methods, Snedecor and Cochran* (Arneson, Valerie; Firey, Patricia A.; McCulloch, Charles) 52 page

On the multiple Borsuk numbers of sets

The Borsuk number of a set S of diameter d >0 in Euclidean n-space is the smallest value of m such that S can be partitioned into m sets of diameters less than d. Our aim is to generalize this notion in the following way: The k-fold Borsuk number of such a set S is the smallest value of m such that there is a k-fold cover of S with m sets of diameters less than d. In this paper we characterize the k-fold Borsuk numbers of sets in the Euclidean plane, give bounds for those of centrally symmetric sets, smooth bodies and convex bodies of constant width, and examine them for finite point sets in the Euclidean 3-space.Comment: 16 pages, 3 figure

A discrete random model describing bedrock profile abrasion

We use a simple, collision-based, discrete, random abrasion model to compute the profiles for the stoss faces in a bedrock abrasion process. The model is the discrete equivalent of the generalized version of a classical, collision based model of abrasion. Three control parameters (which describe the average size of the colliding objects, the expected direction of the impacts and the average volume removed from the body due to one collision) are sufficient for realistic predictions. Our computations show the robust emergence of steady state shapes, both the geometry and the time evolution of which shows good quantitative agreement with laboratory experiments.Comment: 9 pages, 6 figure

The decline and rise of neighbourhoods: the importance of neighbourhood governance

There is a substantial literature on the explanation of neighbourhood change. Most of this literature concentrates on identifying factors and developments behind processes of decline. This paper reviews the literature, focusing on the identification of patterns of neighbourhood change, and argues that the concept of neighbourhood governance is a missing link in attempts to explain these patterns. Including neighbourhood governance in the explanations of neighbourhood change and decline will produce better explanatory models and, finally, a better view about what is actually steering neighbourhood change

What does it mean when people call a place a shithole? Understanding a discourse of denigration in the United Kingdom and the Republic of Ireland

This paper investigates what people mean when they engage in the discourse of denigration. Building on existing literature on territorial stigmatisation that either focuses on macro‐scale uses and effects of territorial stigmatisation or micro‐scale ethnographic studies of effects, we develop a novel approach that captures the diverse voices that engage in the discourse of denigration by tracing the use of the word and hashtag “shithole” on the social media platform Twitter in order to examine who is engaged in the stigmatising discourse, the types of place that are stigmatised and the responses to stigmatised places. Using a robust data set, we highlight two key findings. First, the majority of tweets were aimed at places where the tweeter was not from, a form of othering consistent with how territories are stigmatised by those in positions of power such as policymakers, politicians and journalists. Second, we note that an important and gendered minority of tweets can be characterised by a “cry for help” and powerlessness, where the stigma is aimed at their own places. We offer an interpretive lens through which to understand and frame these minoritarian voices by engaging with theories of abjection that allow us to see how minoritarian voices relate to place