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Growth of the Sudler product of sines at the golden rotation number
Perceptions of online tutorials for distance learning in mathematics and computing
Key conclusions are that both staff and students value online sessions, to supplement face-to-face sessions, mainly for their convenience, but interaction within the sessions is limited.
Wandering Intervals for Lorenz Maps with Bounded Nonlinearity
The effect of seasonal host birth rates on disease persistence.
On Globally Periodic Solutions of the Difference Equation x n + 1 = f ( x n )/ x n − 1
- B. Mestel
- 1 February 2003
We study the second-order difference equation x n +1 = f ( x n ) x n m 1 where f ] C 1 ([0, X ),[0, X )) and x n ] (0, X ) for all n ] Z . For the cases p h 5, we find necessary and sufficient…
Low carbon futures: Confronting electricity challenges on island systems
A garden of orchids: a generalized Harper equation at quadratic irrational frequencies
We consider a generalized Harper equation at quadratic irrational flux, showing, in the strong coupling limit, the fluctuations of the exponentially decaying eigenfunctions are governed by the…
Golden mean renormalization for a generalized Harper equation: The Ketoja–Satija orchid
We provide a rigorous analysis of the fluctuations of localized eigenstates in a generalized Harper equation with golden mean flux and with next-nearest-neighbor interactions. For…
Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors
We calculate all piecewise-constant periodic orbits (with values ±1) of the renormalisation recursion arising in the analysis of correlations of the orbit of a point on a strange nonchaotic…
Do screencasts help to revise prerequisite mathematics? An investigation of student performance and perception
Basic calculus skills that are prerequisites for advanced mathematical studies continue to be a problem for a significant proportion of higher education students. While there are many types of…