tetris11
@tetris11@lemmy.ml
- Comment on Thats fair 1 week ago:
I stand throbbingly by my statement
- 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. 2 weeks 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 3 weeks 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 3 weeks 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? 3 weeks 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 Everybody is fine with celebrities like Whoopi Goldberg making up fake names for themselves, but when someone chooses a name for themselves to suit their gender identity it's suddenly a problem 3 weeks ago:
Related: www.youtube.com/watch?v=xAn4aO3EKrY
- Comment on Ants Trapped For Years in a Soviet Nuclear Bunker Survived in The Most Horrifying Way 3 weeks ago:
Dark, but then again, when in Australia…
- Comment on 'Buy one, get one free' deals for unhealthy food banned in supermarkets 3 weeks 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. 3 weeks ago:
Didn’t all dinosaurs die for our sins?
- Comment on 'Buy one, get one free' deals for unhealthy food banned in supermarkets 3 weeks ago:
…and replaced with more BOGOF for healthier items?
Oh, nothing? Oh, okay
- Comment on Its all bots, isn't it? 3 weeks ago:
Where there’a a profit incentive, yes it’s likely being gamed by bots.
For quieter spaces with not too much engagement, you’re generally talking to people is my feeling there
- Comment on Can you think of any now? 4 weeks ago:
T H R I L L H O
- Comment on 2 OP 5 weeks ago:
Russian cats
- Comment on Kinky 5 weeks ago:
same
- Comment on Hello there 5 weeks ago:
It’s one of the older LoTR cartoons
- Comment on Samsung brings ads to US fridges 5 weeks ago:
It’s not a huge issue, you need a DoH resolver now (e.g. your browser which has a secure connection to a secure DNS server) which cannot block <script> from requesting the ad, but can definitely block <script> from displaying it once the domain resolves.
Extra overhead though, agreed
- Comment on The Epstein Scandal Finally Takes Down a Politician 1 month 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 1 month 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 1 month ago:
Keanu Reeves starred in a film all about Matrices, and another about Constants
- Comment on Put down your phone and engage in boredom – how philosophy can help with digital overload 1 month ago:
This is why the bathroom is the most important room in the house. You can’t* shower with your phone, only your thoughts. You can’t* take a dump with your phone, only your thoughts.
The Romans new this and constructed Faraday cages around their public restrooms so that people could discuss and formulate ways to overthrow the emperor using circuses and bread, sliced so thin that you could put a slice of cheese and salami on it and feel the soft crunch of the seeds. Throw that into a sandwich maker, watch it melt, mmm goddamn, and maybe a drip or two of worcester sauce to really put it into high gear when you’re at the circus. That way the emperor won’t see it coming when you emerge from the restroom and hit him with your phone
*shouldn’t
- 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 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 We should have a term called "Internet casualty," referring to people whose brains have been broken from the internet. 1 month ago:
explosive memes tho
- Comment on We should have a term called "Internet casualty," referring to people whose brains have been broken from the internet. 1 month ago:
How about we all move to an underwater based medium where memes are exchanged by means of colourful air bubbles that propagate at the speed of sounds
- Comment on Do ya dig it? 2 months ago:
I do feel like the speed of the heat exchange might be a bit slower, even if the gradient is higher… though maybe a higher gradient faciliates the speed too
- Comment on Do ya dig it? 2 months ago:
I didn’t watch the while thing, but that’s a pretty cool idea