Quotes About Equation

It is more important to have beauty in one's equation than to have them fit experiment

the differential arc length ds along a curve y = y(x) is The arc length from x = 0 to x = x?, then, is simply

Euler's constant, which is ? = 0.577215664901532 …. After ? and e, ? is perhaps the most important mathematical constant not appearing in elementary arithmetic.

In particular, the three roots to a cubic polynomial either must all be real, or there must be one real root and one conjugate pair.