fractal geometry RULES, I wanna makeout with a mathematician now
What’s the worst thing about limits?
• Is it always having to amplify by the conjugate to eliminate indeterminate forms? NO.
• Is it having to learn some limits by heart (especially for trig functions)? NO.
• Is it having to sometimes use L’Hôpital-Bernoulli’s rule over and over again? NO.
• Is it having to just write “lim” before each line? YES. FUCKING YES. WHY OH GOD WHY I HATE THE NOTATION.
The most infuriating part of it is that it’s just a notation and it could so easily be changed, BUT NO, we’re stuck with this shit.
I was dicking around in polar coordinates last night and I found something... extensible.
r = sqrt(sec(2θ)), an ordinary hyperbola. One of the five conic sections. In Cartesian coordinates x^2 = y^2 + 1.
r = sqrt(sec(3θ)), a triperbola :)
And now here's r = sqrt(sec(aθ)) for some other values of a:
a = [1/2 2/7 6/1 5/2 3/5 5/9]
A/C unit failed. Repair scheduled for Tuesday.
Questions:
Will it have an appreciable effect?
Will my cat die?
Click here
Mathematics people interested in either learning about the Peano axioms of natural numbers (how do you prove a+b = b+a) or interested in learning a proving assistant (Lean) should DEFINITELY check out the natural number game. This is a game which teaches you both of these things step by step, and has you construct the natural numbers and their most important properties from the very basic axioms. Even if you just like logical puzzles and are interested in a bit of mathematics you should check it out!
"Is maths really necessary?" Yes, yes it is
touching grass is not enough sometimes. sometimes what you actually need to touch is a math textbook
Just like your system is formal and effective.
Math affirmations:
You are necessary and sufficient.