diff --git a/README.md b/README.md index 39c4f27..5bde413 100644 --- a/README.md +++ b/README.md @@ -29,7 +29,7 @@ Bounds for which the level of available verification is currently at minimal lev | [7b](https://teorth.github.io/optimizationproblems/constants/7b.html) | Irrationality measure of $\Gamma(1/4)$ | 2 | $10^{143}$ | | [8](https://teorth.github.io/optimizationproblems/constants/8a.html) | Classical zero-free region constant | 0.755106 | 4.896 | | [9](https://teorth.github.io/optimizationproblems/constants/9a.html) | Shannon capacity of the 7-cycle | 3.2578 | 3.3177 | -| [10a](https://teorth.github.io/optimizationproblems/constants/10a.html) | The real Grothendieck constant | $1.67696 + 10^{-26}$ | 1.78215358819137 | +| [10a](https://teorth.github.io/optimizationproblems/constants/10a.html) | The real Grothendieck constant | $1.67696 + 10^{-12}$ | 1.78215358819137 | | [10b](https://teorth.github.io/optimizationproblems/constants/10b.html) | The complex Grothendieck constant | 1.338 | 1.40491 | | [10c](https://teorth.github.io/optimizationproblems/constants/10c.html) | Spencer discrepancy constant (“six standard deviations suffice”) | 1.414214 | 3.674235 (3.65*) | | [11a](https://teorth.github.io/optimizationproblems/constants/11a.html) | $L^1$ Poincaré constant on the Hamming cube | $\sqrt{\pi/2} \approx 1.2533$ | $\pi/2 - 0.00013 \approx 1.5707$ | diff --git a/constants/1a.md b/constants/1a.md index 0aaa861..4e9f699 100644 --- a/constants/1a.md +++ b/constants/1a.md @@ -38,7 +38,7 @@ for all non-negative $f \colon \mathbb{R} \to \mathbb{R}$. ## Additional comments and links - [Damek Davis's meta-analysis of this problem](https://x.com/damekdavis/status/1923031798163857814). -- [AlphaEvolve repository page for this problem](https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/2.html). This repository also contains pages for some similar autocorrelation constants, see [here](https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/3.html), [here](https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/4.html), and [here](https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/6.html). See also the [page here for the minimum overlap problem](https://teorth.github.io/optimizationproblems/constants/2.html). +- [AlphaEvolve repository page for this problem](https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/2.html). This repository also contains pages for some similar autocorrelation constants, see [here](https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/3.html), [here](https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/4.html), and [here](https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/6.html). See also the [page here for the minimum overlap problem](https://teorth.github.io/optimizationproblems/constants/1b.html). ## References