This is terribly true
I'm suddenly very bothered that Jesus was born on year 1 and not year 0.
Let’s teach kids math the right way and bring VR geometry and algebra into the classroom
Mango nectar is the best worst. I can pretend i drink it for the fruit but maybe I just drink it for that sweet syrupy sugar
the main reason it took until the mid-20th century for humans to go into space is that hundreds of years ago when Galileo trained those parakeets to just keep flying upwards until they got to space and then come back down, they all reported that it was "really boring"
I want a girl with a short skirt and a
Earth defense force 2025???
Tumblr tried to sneak in data collection under the radar. After a few taps, you can get a list of who they're sharing data with.
The list takes 19 screenshots to see all the names on my phone.
NINETEEN.
And finally, you can control who gets what.
Note the list of partner consists of 322 (not a typo: three hundreds and thirty two) entries. You have to uncheck them one by one.
Hobbies: calling my dog Mango something that does not at all match his name. My favorite fake name for him is Toby
My dog always asks to go outside in the early morning to check if his favorite beam of sunlight has arrived. When i wake up early, he gets mad because he thinks I control it and so I get asked four or five times before the sun finally reaches the backyard ☺️
There is a big diff between wanting your life to be exciting and wanting your life to be like your friends’ instagrams. But it feels like the same thing
Can somebody give me their informal definition of duality? I feel like I’m missing something in the definitions I find.
Let P be the mapping from ordered pairs (k,n) : k<n and gcd(k,n)=1; to complex numbers n*exp(2*pi*i*k/n). For z in S:=P([0,1]), let r(z) be the radius of the largest open ball around z containing no other point of S. Prove that r(z) is bounded above by a constant.
First part of proof:
Let z’ = n * exp( 2*pi*i*(k+1)/n )
We know r(z) <= |z - z’|.
(continued later, i don’t like this first step but i’m not sure why.)
@birdman Or:
going in the other direction, it seems we could describe 'addition' as a kind of 'looping construct' (add one, but do it X times)
and then multiplication is just 'loop Addition X times', exponentiation is 'loop Multiplication X times'
so are loops more fundamental than even addition? are arithmetic operators just a reflection of ALGORITHMS, rather than the other way around?
Spectroscopy tells us many things including what things are made of. The dark lines in this spectrum of Aldebaran are made by the various elements in it. Each element has a unique set of lines which identifies it.
