a) The implicit correlation prior, as a function of redshift, induced by using the cubic spline to connect the 11 redshift nodes. All three functions, ΩX, µ and Σ, are subject to the same implicit prior, with no cross-correlation between different functions. b) The Horndeski prior correlating the nodes of ΩX, µ and Σ. The correlation between the nodes of each function is much stronger than that introduced by the cubic spline. The Horndeski prior also introduces a strong correlation between µ and Σ. c) The correlation obtained from our “Baseline” data posterior covariance of the nodes, i.e. that determined by the data and the implicit prior correlation in Panel (a). d) The correlation corresponding to the posterior covariance derived from the Baseline data with the help of the Horndeski prior in Panel (b).Scientists from around the world have reconstructed the laws of gravity, to help get a more

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