I expect:
1) OpenAI will tune the model serving.
2) The GPUs are not exclusive for 4.5; will be used by whatever is popular.
3) 4.5 performs better as perceived by humans. This by itself is worth a lot.

ChatGPT is the first product in a while to have 400M signed users. This is very valuable!!

The best explanation I read was in "Stumbling into happiness" - a book about human behavior, not self-help.

We derive "anticipatory pleasure" from imagining what the book will do for us. Similar to the joy we feel in advance b/c of dinner plans, separate from the joy from actually eating the food.

The triangles are right isosceles triangles (octagon internal angle is 135 degrees). So if each side of Octagon is s, then area of each triangle is 0.5 * s *s, so shaded area is s*s.

Area of octagon = 2*(1+sqrt(2)) * s * s, so the ratio becomes

1/( 2* (1+sqrt(2))

10

As we have not specified the side of the rightmost triangle, I can "cheat" by shrinking it to the same as its neighbor.

Now the triangle's height is sqrt(5), and base is 2*sqrt(5) + 2 * sqrt(5), giving us area as 10.

Do not know how to prove that the size of the last square does not matter.

Thank you Mark!!

In the article, she says that she meant to say "alternative information, additional facts."

This was in context of the "provably false" claims from Sean Spicer about Trump's inauguration crowd size. Any idea what additional facts she could bring up to exonerate Sean?