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Now showing items 91-94 of 94
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 ...
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 ...
A conceptual framework for integrating mathematics and science in the secondary classroom (Pre-published)
(Springer, 2021-06-14)
This article presents a theoretical model for integrating mathematics and science in the secondary classroom. This model, Authentic Integration of Mathematics and Science (AIMS), promotes engagement with rich tasks which ...