Determination of System Dimensionality from Observing Near-Normal Distributions

Figure 1

Distribution of a vector component for different -ball models. The vector component can take a range of values between −0.5 (min) and +0.5 (max), and therefore the -ball model has radius = 0.5. The distributions represent the count of data points that lie in any of 400 bins dividing the [−0.5,0.5] range. ((a), (b), (c)) 1-ball, 2-ball, and 3-ball. ((d), (e), (f)) 4-ball, 5-ball, and 11-ball.

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