the background it likely ai generated anyways
(i took the meme off some discord channel, so i dont know how its made)
I recently started reading TAOCP, in other words you can expect daily posts from me again, because I'll just take some of the cooler questions from there and repost them here.
I'm a Londoner, I used to have this friend (who is not a Londoner) we had a huge disagreement on topic unspecified. But after I've watched this video I think I see his viewpoint, which is true. I just don't see it at all because there's such a enormous disconnect between London and the rest of the country.
I would recommend you to watch the video as well, some arguments made in the video are slightly misleading, but the general picture is clear and true.
S=sum of (-1)^n/n from 1 to infty
For why I named the post as so, here's why
spoiler
- Show that
cosθ=(u⋅v)/(|u||v|)for 2D vectors u and v.
(it is quite hard to come up with these challenges, so if you got any ideas, please post them)
Hint:
spoiler
It is not a telescoping series
Solution:
i thought the "default" counter example is y=|x| lol
i got the answers, but i dont really know why
Solution (starter question):
spoiler
Please refer to the main post, if you don't like looking at the image. https://gmtex.siri.sh/fs/1/School/Extra/Maths/Unsolved/1d-gravity.html
For the main question, you are encouraged to share your progress
spoiler
You might be able to solve this with differential equations, or by solving the iterative functions, I dont know
i added the solution to the post, i didnt see the multiplication before someone mentioned it, but yeah if we put it to the power of e it will telescope again, which is clearly the main character of this sub at this point (jk)
Hint:
spoiler
e
Solution:
spoiler
zkfcfbzr solved it
i put everything into ln because i was scared of multiplication
i showed the question to my friend who isnt particularly bright in maths, he said 30 by just looking at it, i freaked out a bit but it might just have been a lucky guess
i pulled the image from a meme channel, so i dont know if its real or not, but at the same time, this below does look like a legit response