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I forgot I made a couple of mini vine compilations when they announced the end of vine

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get got nerd

the angy,,,

Eurasian Nightjar, photographed by Valia Pavlou (Source)

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a lot of artists dont know how to draw bullets and to be real it bothers me a lot. here's my simple guide on bullets

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I do not recognize quaternions as numbers because they are not commutative 😤 but seriously, nice post! I believe that, for (maybe) complicated reasons, there is actually no division algebra over R with dimension 3, and the complex numbers are the largest possible field extension of R! (where quaternions are a division algebra rather than a field because of non-commutativity)

Wow this has apparently been sitting in my inbox for over a year. It's not like my inbox is busy, so I have no real excuse for this. Regardless! Requiring commutativity for number systems is something that I can totally understand, and to be frank the quaternions are really the only non-commutative thing that anyone ever seriously argues "counts as numbers" (except for the poor confused souls that champion the Octonions and Sedenions and so on).

(I've recently been having Many Thoughts about the "what is a number" question, including a reasonably convincing case for rings, but that's neither here nor there. I am of course willing to expand on this, as I am with anything I ever say. I love expanding on things it's my favorite activity.)

As to your claims, the first is spot on! There is no finite-dimensional division algebra over ℝ that isn't the complex numbers or quaternions (or ℝ itself) which you can prove using ~matrices~ or other more complicated stuff. In fact, William Rowan Hamilton's original problem was to find a three-dimensional division algebra (rather than the stuff I was doing with the Euclidean norm) which I ignored because my task is much easier to prove impossible.

For your second claim, unfortunately the complex numbers are not the largest possible field extension of ℝ, since you can for example take the polynomials over ℂ and close them under division. They are, however, the largest (and only) algebraic extension of ℝ, that is to say, any other field extension of ℝ must have infinite dimension.

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These circles are stationary

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Higgledy-piggledy unparliamentary green parrots quarrel outside in the trees

Squawking out epithets uncomplimentary Squads of unmannerly Oversized peas.

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That's me! Profile pic created by tumblr user @existentialterror over here.

Its name is Seerael (pronounced like "cereal") and it is one of my rp ocs (roleplay original characters).

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Well for one she knows all your tickle points.

Just extra ramblings under the cut

Can't really tell if that's a reliable source, but I did the draw now context later style again and I needed a dialogue. This was the first that went in my head. Haha

From what little I understand Shiva is creator, protector, and destroyer of the universe? I could read or listen about that some time and correct myself in the future.

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having pet stick bugs is fun because every so often i will hear the distinct sound of several stick bug falling and ill go to check on them and find them all in a pile on the ground of their enclosure and i have to figure out if theyve just decided that its floor time now or if they kept mistaking each other for actual sticks again and bundled together the ceiling until gravity got the best of them.

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i think carrying my guitar around is strengthening my back. i was having backpain from how big my boobs are but now it's gone?...

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Zuko having a connection to the spirit world but instead of it being something deep and profound, it’s just because he spent three years pre-finding the avatar running towards the first weird magical shit he saw.

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worst trend of the 2010s: media that thinks its destroying the political commentary game

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just woke up from a dream in which “having a two year old alter” was such a common identity facet among the general public that you could buy like mugs and gift bags etc related to this at any walmart or target

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