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Fig. 1

image

Contours of cluster mass in 1015M units (red curves) and redshift (blue curves) projected onto the observational plane defined by the filter output K5θ500 and angular scale θ500 = c500θm. A cluster of fixed mass M500 follows a red contour according to Eq. (16) as it moves out in redshift. Each mass contour follows the same pattern, simply displaced in amplitude. This figure shows how each point in the observational plane maps to a point in the cluster plane of (M500,z).

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