The Boolean 2014
DOI: 10.33178/boolean.2014.15
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Doughnuts and the Fourth Dimension

Abstract: Those of you with a sweet tooth are no doubt already familiar with the delicious doughnut, but did you know there is much more to that simple pastry than meets the eye? Here’s an experiment: take a sheet of A4 paper and roll it up, now try to join the two open ends without bending or making any corners on the paper, go on I’ll wait…..impossible right? Well that’s because we are stuck with only three dimensions, add in one more dimension though and you can! What’s more is that if we lived on the surface of that… Show more

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Cited by 3 publications
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“…Diagnostic signals are processed by several advanced data processing algorithms implemented in the control system. Plasma position, shape, and β are computed in real-time using function parametrization [24,25]. This method relies on the statistical analysis of a large database of simulated equilibria to obtain a functional representation (typically quadratic polynomials) of the above mentioned physical parameters in terms of the values of the magnetic probe and flux loop measurements.…”
Section: Data Evaluation Algorithmsmentioning
confidence: 99%
“…Diagnostic signals are processed by several advanced data processing algorithms implemented in the control system. Plasma position, shape, and β are computed in real-time using function parametrization [24,25]. This method relies on the statistical analysis of a large database of simulated equilibria to obtain a functional representation (typically quadratic polynomials) of the above mentioned physical parameters in terms of the values of the magnetic probe and flux loop measurements.…”
Section: Data Evaluation Algorithmsmentioning
confidence: 99%
“…We have selected the AUG discharge #30411 at 5.4 s as the baseline case for our simulations. A realistic magnetic equilibrium reconstruction was performed using the CLISTE code [22]. In the simulation we also include the radial electric field derived from a typical plasma potential profile at AUG, shown in figure 3 (in black).…”
Section: Proposed Experimental Setupmentioning
confidence: 99%
“…Plasma position and shape control on ASDEX Upgrade is performed using function parameterization [1,2]. This method relies on the statistical analysis of a large database of simulated experiments to obtain a functional representation of the intrinsic physical parameters of the plasma position and shape in terms of the values of the magnetic probe and flux loop measurements.…”
Section: Introductionmentioning
confidence: 99%