an even smarter and wiser person uses this opportunity to make a post on c/science_memes

if there’s nothing that crows have and you don’t, does that not make you a superset of crows? that would be pretty cool i think

it would be a pretty funny post for the full 5 minutes it would last until it got stalin sorted out of lemmy.ml

i wonder what the inverse of the letters in the english alphabet are. since it has a non-prime number of letters (26 to be exact), we know that some letters won’t have inverses. i wonder which letters don’t have inverses. i guess it would be pretty easy to find out if you use the standard alphabet ordering and then port the alphabet over to ℤ/26ℤ, but that’s not a particularly satisfying answer.

yeah cohomology can be particularly rough. look on the bright side though, at least you now have the tools to answer this question:

exactly!

and i am always in favor of counting with fingers. we were given them for a reason, might as well make the most of them. counting is hard enough as it is

i was in a group call with 6 mathematicians, and it came time to order our names in the paper we were writing. in math papers, the names are always ordered alphabetically. we had to pull up a picture of the alphabet because none of us could remember which way the letters are ordered.

oh fuck i wasn’t prepared for this. but this one feels way more fair.

my gut tells me walnut

this is a particularly cruel picture for day #7. this level of difficulty should be reserved for the final days of the month

i would like to know why the AI is predicting that there will be future states named Democraic, Wicconana, Nich Caroina, and Ohida.

written by dr. love

ah true. i missed the context of the original comment since it got deleted, but you’re completely right that the “1 is a scalar while i is a vector” statement is not entirely accurate.

after you spend enough time with complex numbers, the real numbers start to feel wrong

whether or not i is a scalar depends entirely on the context.

every vector space has an associated field of coefficients. in practice, this field is typically the real numbers. but you can have lots of other kinds of vector spaces as well, and they can be useful for certain things.

anyways, if you have a vector space over the complex numbers, then i is a scalar, because it is a complex number. if you have a vector space over the real numbers, then i is not a scalar, because it’s not a real number.

its worth mentioning that you can view the complex numbers as a vector space over itself. this is just a fancy way of saying that you can add complex numbers together, and you can multiply a complex number by a complex number. (one of those numbers is playing the role of scalar, and the other is playing the role of vector.) but you can also view the complex numbers as a vector space over the real numbers. and this is just a fancy way of saying that you can add complex numbers, and you can multiply a complex number by a real number.

from a topological perspective, pizzas are also pyramids and cubes. from an enlightened topological perspective, pizzas are lines and points.

the only problem with that is i’d need to change their mind again next year

unfortunately i don’t believe in uranium or numbers higher than 200, so this argument doesn’t work on me

nothing beats having to click the download button twice. it’s my favorite

they already are

into our minds and into our hearts