formal analogue
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Author(s):  
Matthew R. Crawford

This chapter situates the Eusebian apparatus against the backdrop of the theory and history of paratexts and the theory and history of information visualization. It argues that Eusebius’ Canon Tables were a highly original paratext and a remarkably sophisticated instance of information visualization when compared to what preceded them. The closest formal analogue to the Canon Tables is shown to be the astronomical tables composed by Ptolemy in the second century. When seen in relation to the fourfold gospel, the Canon Tables are a paratext that orders the textual material of the gospels by organizing it into relational categories and providing the user with a navigational system when reading the corpus.


2018 ◽  
Vol 61 (1) ◽  
pp. 82-110
Author(s):  
Garrett Ryan

AbstractBetween the late first and the mid-third century CE, local elites in the eastern provinces of the Roman Empire lined the formerly utilitarian streets of their cities with honorific statues, colonnades, and ornamental buildings. The monumental avenues thus created have usually been interpreted as unplanned products of competitive munificence. This article, by contrast, suggests that the new streets had real political significance. It compares the monumental avenues of Roman Ephesus with a formal analogue from a better-documented historical context: the long, colonnaded courtyard of Florence's Uffizi complex, constructed by Duke Cosimo I in the mid-sixteenth century. Comparison with the Uffizi courtyard illuminates the prominence of “democratic” architectural conventions in Ephesian monumental avenues, the elite-centric vision of civic history implicit in their sculptural displays, and the degree to which public ceremonies reinforced their political messages.


2014 ◽  
Vol 57 (1) ◽  
pp. 101-105
Author(s):  
PAVLOS TZERMIAS

AbstractThe proof of Theorem 3.2 in [1] (P. Tzermias, On the p-adic binomial series and a formal analogue of Hilbert's Theorem 90, Glasgow Math. J.47 (2005), 319–326) contains two opaque claims. The necessary clarifications are provided here.


Author(s):  
C. Mca. Gordon

1. Introduction. It is known (6) that the connectivity conditions on the manifolds in Irwin's embedding theorem (7) can be replaced by a connectivity condition on the map. This has led to the suggestion that in Hudson's analogue of Irwin's theorem for bounded manifolds (5), (6), the connectivity conditions on the manifolds modulo boundary can be replaced by the corresponding connectivity condition on the map modulo boundary. The main purpose of the present note is to show that this is in fact false, as is the formal analogue of Irwin's and Hudson's theorems for manifold triads. Its other purpose is to announce a related embedding theorem for manifolds with boundary which appeared in (3).


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