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Now showing items 51-59 of 59
A metaphilosophical defense of Wittgenstein's conception of polythetic methods of analysis
(2022-04-06)
This thesis advances a metaphilosophical interpretation of Wittgenstein’s later conception of philosophy and specifically, its emphasis on a plurality of different philosophical methods. The thesis aims to achieve three ...
The disbanded Royal Irish Constabulary and forced migration, 1922–31
(2022-04-08)
This article concerns the men of the Royal Irish Constabulary (RIC) who were disbanded from the force in 1922 and felt obliged to leave Ireland for Britain. Afforded unique – if not always entirely sufficient – financial ...
Data-driven learning, theories of learning and second language acquisition: in search of intersections (Pre published)
(2021-11)
This chapter focuses on the need to address both theories of learning and theories of language acquisition in data-driven learning (DDL) research. While it recognises that there has been so much worthwhile research work ...
Aristotle on efficient and final causes in Plato (Pre published)
(2022-11-09)
In Metaphysics A 6, Aristotle claims that Plato only recognises formal and material causes. Yet, in various dialogues, Plato seems to use and distinguish efficient and final causes too. Consequently, Harold Cherniss accuses ...
Graph rigidity for unitarily invariant matrix norms (Pre-published)
(Elsevier, 2020-11-15)
A rigidity theory is developed for bar-joint frameworks in linear matrix spaces endowed with a unitarily invariant matrix norm. Analogues of Maxwell's counting criteria are obtained and minimally rigid matrix frameworks ...
Symbol functions for symmetric frameworks (Pre-published)
(Elsevier, 2021-05-15)
We prove a variant of the well-known result that intertwiners for the bilateral shift on ℓ2(Z) are unitarily equivalent to multiplication operators on L2(T). This enables us to unify and extend fundamental aspects of ...
Constructing isostatic frameworks for the l1 and l infinity plane (Pre-published)
(Electronic Journal of Combinatorics, 2020-06-12)
We use a new coloured multi-graph constructive method to prove that if the edge-set of a graph G = (V,E) has a partition into two spanning trees T1 and T2 then there is a map p : V → R2, p(v) = (p(v)1,p(v)2), such that ...
Rigidity of symmetric frameworks in normed spaces
(Elsevier, 2020-12-15)
We develop a combinatorial rigidity theory for symmetric bar-joint frameworks in a general finite dimensional normed space. In the case of rotational symmetry, matroidal Maxwell-type sparsity counts are identified for a ...
Which graphs are rigid in lpd? (Pre-published)
(Springer, 2021-03-13)
We present three results which support the conjecture that a graph is minimally rigid in d-dimensional ℓp-space, where p∈(1,∞) and p≠2, if and only if it is (d, d)-tight. Firstly, we introduce a graph bracing operation ...