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stevengj committed Jul 25, 2023
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8 changes: 4 additions & 4 deletions docs/src/gauss-kronrod.md
Original file line number Diff line number Diff line change
Expand Up @@ -91,10 +91,10 @@ fewer points $n' < n$, and use their *difference* as an error
estimate. (If the error is rapidly converging with $n$, this is usually
a conservative upper bound on the error.)
```math
\mbox{error estimate} = \left|
\underbrace{\sum_{i=1}^n w_i f(x_i)}_\mbox{first rule} -
\underbrace{\sum_{j=1}^{n'} w_j' f(x_j')}_\mbox{second rule}
\right|
\mbox{error estimate} = \Big|
\underbrace{\sum_{i=1}^n w_i f(x_i)}_{\mbox{first rule}} -
\underbrace{\sum_{j=1}^{n'} w_j' f(x_j')}_{\mbox{second rule}}
\Big|
```
Naively, this requirs us to evaluate our integrand $f(x)$ an extra
$n'$ times to get the error estimate from the second rule. However,
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