#derivation

[anremithrl]

I was a bit overwhelmed earlier and decided that the only solution was to go on a tedious pedantry rampage in latex. It did work. I am feeling better.

Here is a very simple proof of a very simple thing. (that isometries must be injective). You can weaken it on the left to finish adding how metric spaces and the reals work, but I ran out of space, and it was fairly trivial to do, and I was already feeling better.

There's not really a point to doing things this way most of the time and it isn't hard, just somewhat tedious. And this is longer than it really has to be. But, for anyone who hasn't seen what a formal math equivalent of someone saying a lot of words and not getting a lot of meaning across, this is it.

[arrogantamerican]

I've never understood the "why" behind the quadratic formula, which bothered me because it's literally such an essential formula in all of mathematics. So on this wonderful Sunday morning, I decided to derive the quadratic formula. If anyone else wants to see a simple, ten step derivation of the quadratic formula (with explanations) here's the one I made.

[economicsresearch]

page 574 - maybe we'll end up by the sea. Staring. Endless. Reeds in the shallows. Reflections. Reflecting.

[paizau]

what should the Ngįout word for "to dream" be?

sǫ-tǫ̈yį /sɔ̃ tʌ̃.jĩ/ - sǫį "sleep" + tǫ̈yį "see"

sǫ-bö /sɔ̃ bʌ/ - sǫį "sleep" + bö "smell, think"

Voting ended onOct 26, 2025

orthography

option 1:

option 2:

[datpotatolover]

Romance Story Idea.

She was a princess, isolated and abandoned. Cursed by birth to reduce the power of any being who dared to touch her.

He was a prince. Complex and irrational. Yet possessed a power so mysterious and unknown that could be altered by his will.

Only he was the one, whose power the princess couldn't alter. The first one to embrace her in years he was.

When the princess finally looked at him after her embrace, tears of joy rolled down her eyes, to find his power still and unchanged.

She held him and cried, years of loneliness and pain spilled from her eyes, leaving the irrational prince in a confused frenzy. Her first ever laughter came through her mouth at the sight of his confused face.

Enchanted by her lush laugh, the prince too smiled, and held her in his arms for as long as she wanted.

This is the heartfelt tale of princess d/dx and prince e^x. A cursed princess and an irrational prince.

[linguisticillustrations]

Possible orderings of some derivational prefixes in Japhug. An arrow pointing from one circle to another means that the one being pointed to may follow it. Not all inner derivational prefixes are included here, likely (my own speculation) due to either rarity, or for the highly productive autive prefix, the fact that it can be infixed into the stem or other prefixes in some cases.Source is page 475. Jacques, Guillaume. 2021. A grammar of Japhug. (Comprehensive Grammar Library 1). Berlin: Language Science Press. DOI: 10.5281/zenodo.4548232 https://langsci-press.org/catalog/book/295

Submitted by @puddox​

(CAUS = causative | RECIP = reciprocal | REFL = reflexive | FACIL = facilitative | PASS = passive | APASS = antipassive | APPL = applicative | TROP = tropative | PROP = proprietive)

[ouroboros-sys]

ok so i came up with a fun idea for Werat just based on a decision we made a while ago. So the verb Rēnaj means "to go; to walk", and there's a set of verbs derived from it using an old compounding of what later became prepositions and the verb stem. I realized i could extend this. so now any verb of movement can take these prefixes to specify how the movement is happening or to where. now I have sets like Ħandēnaj "to approach (on foot)" and Ħafnot "to approach (by flight)", which is fun when translating into english lmao. this will now go further; i cannot be stopped