Reading the paper, exercise alone had no effect on these "biological clocks". So, the results are promising, but given the lackluster results of the trial on other outcomes (blood pressure, mortality, falls, etc.), I'd be cautious before jumping to conclusions.
I think the main question is how exercise alone compares to exercise +supplements. If I have time later I'll try to dig into the paper.
Here's another solution, that is suboptimal but might be preferable to the soap bubble solution in practice: an ellipse with long axis 1.592 and short axis 0.972. This should be close to the optimal ellipse (I used Kepler's approximate P=pi * (a+b) formula for the perimeter). It gives an area of 4.861 which is close enough to the current optimum, and looks like this:
You have the best solution so far, but I wouldn't call it solved yet, since we don't have any proof or indication that it is the best solution that exists.
In my case, yes, because I don't have much to attach the mesh wire to.
Hi, I'm familiar with the concept of Euler-Lagrange equations, however I wouldn't know how to use them in practice to solve a problem like this one. ChatGPT isn't very helpful and suggest a single circle cut in half is the optimal solution, even when I tell it to use Euler-Lagrange.
It looks good, however when I compute the area, I get 4.4872..., which is less than what I get for the single circle. I could be wrong though, as others seem to be getting 4.94.
Edit: I found my mistake! I was using the wrong formula for the altitude of the equilateral triangle. Now I get 4.9458..., which is by far the best result so far. Thank you!
The best I was personally able to obtain is the circle divided by a wall.
I initially asked this question on the mathematics stack exchange: https://math.stackexchange.com/questions/5035579/area-maximization. Of course, it got closed for no reason, but before it did, someone offered the following solution: join two circular arc (subtended at angle 240∘ with respect to their center) at their end points, add a line segment between the end points, you can achieve an area ∼4.9457788. Recomputing the area of their solution, I get ~4.49 instead, but I'm not sure I got it right...
Je pense que le délai de 10 ans seulement a fait peur.
C'est dur quand même, ça montre l'ampleur du chemin à parcourir :-/
This is really cool! BTW, if you haven't tried playing Leela with queen odds, I highly recommend it. It's insanely hard and eye opening.
There is a bot in Lichess that allows you to play it. No setup required.
Tout le monde sait qu'un premier ministre de gauche essayant d'appliquer le programme du NFP serait immédiatement censuré par RN+LREM. Donc la question pour la gauche, c'est est-ce qu'on reste dans l'opposition, ou est-ce qu'on essaie de négocier quelques avancées avec LREM? Pour moi c'est clair qu'il est plus avantageux d'essayer au moins de négocier. Après, tout est dans le contenu du compromis.