e^𝘪θ^ is not just notation. You can graph the entire function e^x+𝘪θ^ across the whole complex domain and find that it matches up smoothly with both the version restricted to the real axis (e^x^) and the imaginary axis (e^𝘪θ^). The complete version is:
e^x+𝘪θ^ := e^x^(cos(θ) + 𝘪sin(θ))
Various proofs of this can be found on wikipeda. Since these proofs just use basic calculus, this means we didn't need to invent any new notation along the way.
try this on -- Yes 👎
It's a fraction of two infinitesimals. Infinitesimals aren't numbers, however, they have their own algebra and can be manipulated algebraically. It so happens that a fraction of two infinitesimals behaves as a derivative.
I guess Ty changed their name
oh huh, neat. Always though of those as "operations."
In Comp-Sci, operators mean stuff like >>, *, /, + and so on. But in math, an operator is a (possibly symbollic) function, such as a derivative or matrix.
it's legit a fraction, just the numerator and denominator aren't numbers.
I get these kind of reactions on Lemmy all the time. I say something that isn't the exact party line, people assume I'm their worst enemy even though our disagreement is very minor in the broad scheme.
Makes sense. Author is a psychologist.
My support for abortion is grounded in my belief that zygotes don't have souls. I don't know if I would support abortion in general without believing this. Here are some things you can try, assuming that you're talking with a rational person:
that would be debating these "chuclefucks"
criminalizes abortions only after a fetus can survive outside the womb
Out of curiosity, when is this? Like 7 months? I'd say this is pretty decent, hardly anyone gets an abortion past 7 months anyway.
Not very good mathematicians if they tell you they aren't fractions.