Let's take a simple example. f(x)=x + c f '(x)=1
How, is the derivative local, if any value of f(x) can have the same derivative? lol... this one is funny.
Let's take a simple example. f(x)=x + c f '(x)=1
How, is the derivative local, if any value of f(x) can have the same derivative? lol... this one is funny.
Finite-difference formulas are approximations for derivatives, not exact expressions. But there are exact formulas.
For integration, f^{(-n)}(x) = 1/((n-1)!) int of (x - t)^{n-1} f(t) by t from t0 to x
For differentiation, f^{(n)}(x) = n!/(2*pi*i) contour int of f(t) / (t - x)^{n+1} by t around x
One can use them to find fractional-derivative formulas, using the Euler gamma function to extend the factorial function to fractional args.
Repeated integration:
Repeated differentiation:
a contour integral, where the contour goes around x.
"I am wearing latex" was great to read, until I got to the part where you wear condoms. Thanks for the image. It will definitely help out in the future, when I don't want to hook up with a hot woman. Ok. It won't help in the future. I'm not going to have that chance. lol.
You're the first person I've spoke with who needed 2 condoms. Is it a genetic condition, or is one of them your gun?
I thought Inspector Sledgehammer was the only person who protected their gun during sex.
no, the point is that with two condoms on, I can't feel a damn thing... so when I take one off, I'm SUPER sensitive and it feels great.
dumb joke originally intended to poke fun at those that say that they hate condoms because they numb the sensations.. which of course they do... So I say that (not only do I wear one...) I wear two!