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src/stan-users-guide/one-dimensional-integrals.Rmd

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@@ -112,12 +112,12 @@ with the Leibniz integral rule).
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## Integrator Convergence
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The integral is performed with the iterative 1D quadrature methods implemented
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in the Boost library [@BoostQuadrature:2017]. If the nth estimate of the
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integral is denoted $I_n$ and the nth estimate of the norm of the integral is
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in the Boost library [@BoostQuadrature:2017]. If the $n$th estimate of the
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integral is denoted $I_n$ and the $n$th estimate of the norm of the integral is
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denoted $|I|_n$, the iteration is terminated when
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$$
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\frac{{|I_{n + 1} - I_n|}}{{|I|_{n + 1}}} < \text{relative tolerance}
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\frac{{|I_{n + 1} - I_n|}}{{|I|_{n + 1}}} < \text{relative tolerance}.
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$$
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The `relative_tolerance` parameter can be optionally specified as the

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