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)
something i learned from my wife, who recently learned how to sew: do not do beginner projects. if what you want to make is difficult to make, you should just try to make it. don't do a slow learning process. don't start with the basics. start with the advanced
Whatever your faith, ethos, or general mores, you need to evangelize them through your actual actions—what you build, grow, or craft.
Ideas and arguments will only get you so far.
Your life needs to be your proof of concept.
This happened today.
It happens all the time.
I see that boy sometimes, beneath the years. Happens with strangers, happens with friends.
Easy to find if you’re looking for it. Makes forgiving all the trespasses much easier. Try it.
When I was 17 a guy I was talking to at a gas station asked me why my car was so dusty, and I said it was such a POS it wasn’t worth washing.
He said to me “if it’s worth having, it’s worth taking care of” and it deeply shamed me and stuck with me to this day.
There’s a phenomenon during fatherhood that no one ever tells you about.
The house is dead quiet.
The kitchen is empty.
You decide to make a sandwich.
Every single person in the house is transported to the kitchen and each of them take turns standing directly in your way.
Every single time.
Here’s a hard truth: if you are even mildly successful at building something good—at making the world more beautiful—some people will hate you.
They won’t even know why. They’ll seek to justify it though. They’ll find a way.
Remember: you can build harder than they can hate.