hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final
((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)
@Chemosh_moab there are at least 10,000+ engineers among only faang+ companies itself in India with 5+ yoe each earning base salary greater than 50lpa so your quoted tweet is pure cope.
I tried ditching typing for speaking using AI tools but something always felt off. Typing (or writing) gives you a buffer in the head to think, revise and explore thoughts in a way that speaking doesn't.
My bet is that if someone does a careful controlled test on quality of work output while typing v/s dictating, we'll see dictation having much worse outcomes.