tetris11
@tetris11@lemmy.ml
- Comment on Mary E. Brunkow, one of this year's Nobel Prize winners in Medicine, has only 34 published papers and an H-index of 21. 3 days ago:
I have a high school friend who owns a paper mill. He was a rich kid who never did the work, and always took credit for others work.
He has an h-index of 90 and 200,000 citations. He is not a professor.
- Comment on TIL science has its own swifties 1 week ago:
For (1), we start with 2 definitions of cos(x) and sin(x), using their Taylor expansions
cos(x) = 1 - x^2^/2! + x^4^/4! - …
sin(x) = x - x^3^/3! + x^5^/5! - …
We now start with the definition of e^x^ Taylor expansion, and proceed to do some substitutions:
e^x^ = 1 + x + x^2^/2! + x^3^/3! + … + x^n^/n!
We can then substitute in: x=iθ (remembering that i^2^ = -1) to get
e^iθ^ = 1 + iθ - θ^2^/2! - iθ^3^/3! + θ^4^/4! + iθ^5^/5! + … etc…
If we group by real and complex, we can arrange the above as:
e^iθ^ = (1 - θ^2^/2! + θ^4^/4! + … ) + i(θ - θ^3^/3! + θ^5^/5! + … )
You should now realise that the left part resembles the expansion of cos(θ), and the right part resembles sin(θ). That is:
e^iθ^ = cos(θ) + i sin(θ)
Finally, we substitute in θ = π
e^iπ^ = cos(π) + i sin(π)
And we know that cos(π) = -1, and that sin(π) = 0, meaning that we end up with
e^iπ^ = -1 + i 0
or
e^iπ^ + 1 = 0
The teacher got excited because it is literally one of the most beautiful mathematical statements you can get, that connects five universal identities under a single statement: 0, 1, e, i, and π – and does so using 3 different operators (times, power, plus).
For (2), I’m still waiting as I think it’s currently holding the world together by sheer mass alone
- Comment on TIL science has its own swifties 1 week ago:
My high school teacher introduced this to us as a slow reveal over the course of weeks of what would be the proof of
e^iπ^ = -1
- Comment on Which timezone would win in a conflict? 1 week ago:
US and Russia would tear themselves apart internally. That leaves China with the largest functioning army, vs the EU if they can mobilize fast enough
- Comment on Ants Trapped For Years in a Soviet Nuclear Bunker Survived in The Most Horrifying Way 1 week ago:
Dark, but then again, when in Australia…
- Comment on 'Buy one, get one free' deals for unhealthy food banned in supermarkets 1 week ago:
It wouldn’t actually take much would it, to make competition happen. Government just offers their own cheaper alternative, and boom, suddenly food prices drop
- Comment on Remember: You are loved. 1 week ago:
Didn’t all dinosaurs die for our sins?
- Comment on 'Buy one, get one free' deals for unhealthy food banned in supermarkets 1 week ago:
…and replaced with more BOGOF for healthier items?
Oh, nothing? Oh, okay
- Comment on Anon makes games 2 weeks ago:
Ah nice, this led me to
- Comment on Anon makes games 2 weeks ago:
“Tell me”
Imperative case absolutionist too
- Comment on Anon makes games 2 weeks ago:
would love to read more about this
- Comment on 2 weeks ago:
I wonder how close the comet comes for the Lich to be able to jump towards Earth like that.
Logic dictates that that comet swoops overheard, but 10 million km away, and then 3 days later the Lich drops the elbow
- Comment on Can you think of any now? 2 weeks ago:
T H R I L L H O
- Comment on 2 OP 3 weeks ago:
Russian cats
- Comment on Kinky 3 weeks ago:
same
- Comment on Hello there 3 weeks ago:
It’s one of the older LoTR cartoons
- Comment on The Epstein Scandal Finally Takes Down a Politician 4 weeks ago:
so this is just the PM effectively distancing himself from his previous decision of appointing him
- Comment on The Epstein Scandal Finally Takes Down a Politician 4 weeks ago:
the whole thing is a bit weird though - his assosciation was known since last year, and he was transparently visiting Epstein in prison. Why now?
- Comment on Speed 4 weeks ago:
Keanu Reeves starred in a film all about Matrices, and another about Constants
- Comment on Anon doesn't like AI 4 weeks ago:
I know, but we did some cool things. Our advances in Math and Physics to unlock the secrets of the universe. Our engineering prowess. The Linux Kernel is a standing achievement of humanity’s ability to contribute to something greater than themselves for no real financial gain. Plus our music and our humour and our entertainment have been just fantastic.
It’d be cool if we could at least have some permanent record of that if we don’t make it, so that future aliens could know that despite us being continual fuckwits, we did do some pretty amazing things
- Comment on Save the day 5 weeks ago:
Agree. Now.
- Comment on Anon eats Italian 1 month ago:
It looks practically pregnant with murderous potential
- Comment on I just ate a little bag of popcorn without getting any bits stuck in my teeth/throat. ask me anything 1 month ago:
I think that’s how one nuts
- Comment on I just ate a little bag of popcorn without getting any bits stuck in my teeth/throat. ask me anything 1 month ago:
Why? How many people are watching you sleep?
- Comment on I just ate a little bag of popcorn without getting any bits stuck in my teeth/throat. ask me anything 1 month ago:
Yes, to serve as a medium in which life can be examined and critiqued, as well as a money laundering vessel
- Comment on I just ate a little bag of popcorn without getting any bits stuck in my teeth/throat. ask me anything 1 month ago:
USA! USA! USA!
- Comment on Salvatore Ganacci - Fight Dirty 1 month ago:
I always feel that about his videos/songs
- Comment on The Mysterious Noise, The Empty Bottle, The Asshole Labmate 1 month ago:
The dry lab informatician sits by themselves in a tiny windowless corner, surrounded by the hottest and loudest machines known to man, staring unblinkingly at a dark rectangle on the screen for 12+ hours a day, muttering only to themselves whilst biting the corner of their thumbs, and interacting with no one except when grabbing a water or a coffee.
The wet lab drama is just around the corner but they refuse to acknowledge it nor participate in the endless discussions, nor even make eye contact with anyone in the outside world.
They are frequently praised by the Prof who has no idea what they actually do, only that they are by far the cheapest employee due to them not constantly ordering reagent kits every 30 seconds.
- Comment on Who is the enemy? 1 month ago:
Death Star structural engineers hate the waste management guys
- Comment on Anon is a fact checker 1 month ago:
It’s possible that my classmates who had sex just didn’t tell me
we went to way different schools