Moving Targets: Constructing Canons, 2013–2014

Moving Targets

In addition to its well-known role in regulating blood pressure and fluid balance, the renin-angiotensin-aldosterone system (RAAS) has continued to fascinate both researchers and clinicians because of the several additional functions that it has been proposed to carry out. Disruption of the production or action of angiotensin II (Ang II) during development, either by gene mutation or by pharmac...

Sturmian Canons

Sturmian words are balanced, almost periodic, self-similar and hierarchical infinite sequences that have been studied in music theory in connection with diatonic scale theory and related subjects.[3][5] Carey and Camplitt 1996 give a brief but suggestive rhythmic example in which these properties are made manifest in a particularly visceral manner. The present paper expands upon this example, c...

Saccades to moving targets.

The metrics and dynamics of saccades to stationary and moving targets were observed in monkeys (Macaca mulatta). To isolate the effects of target speed on the saccade from contributions of smooth pursuit, saccade velocity was corrected for intrasaccadic pursuit velocity on a trial-by-trial basis prior to analysis. The effects of presaccadic retinal error and target speed on the saccadic velocit...

Moving Targets on Curves

Recent papers of Vojta ([V 3], [V 4]) and Ru and Vojta ([R-V]) show that in Roth’s and Wirsing’s theorems the points being approximated may vary provided that their height remains small relative to the height of the points with which they are being approximated. In [R-V] and [V 4] the technique of proof is a variation of a technique of Steinmetz from Nevanlinna theory which consists of embeddin...

Constructing and Formalizing Tiling Rhythmic Canons: a Historical Survey of a “mathemusical” Problem