4 ms·

Sure. But the square root and the sine function also have nice geometric interpretations. Bring radicals don't. They're just defined as a solution to this part

• reikonomusha 7mo ago
  The Bring radical has a great geometric interpretation: BR(a) is where the curve x^5 + x + a crosses the x axis. Like sine or exp, it also has a nice series representation: sum(k = 0 to inf) binom(5k,k) (-1)^(k+1) a^(4k+1) / (4k+1) We can compute its digits with the very rapidly convergent Newton iteration x <- x - (x^5 + x + a)/(5x^4 + 1) and so on. Why not invite it to the table of functions? Ellipses are simple and beautiful figures known to every child, but why do we rarely invite the elliptic integrals to the table too? I guess my point is that "nice geometric interpretation" is a little subjective and hasn't led to much consistency in our choice of which functions are popular or obscure.
  • cyberax 7mo ago
    > The Bring radical has a great geometric interpretation Erm... No. It's not great. > Why not invite it to the table of functions? Because it's too arbitrary.