May 30, 2025 · Integral inequality with logarithm Ask Question Asked 8 months ago Modified 2 months ago

Feb 2, 2014 · The (second) Chebyshev function gives the natural logarithm of the least common multiple of the first n natural numbers: https://en.wikipedia.org/wiki/Chebyshev_function

Thanks for bringing this to my attention. I checked the lecture tape, and found that what Feynman originally said was, "When I took a small fraction of 1024, as the fraction went to zero, what would …

Just recall $\exp (\alpha i) = \cos \alpha + i \sin \alpha$ for complex numbers, the quaternion (remember a quaternion is just 3 complex numbers which all have the same real part) version is by direct …

The sequence you're applying the logarithm to (i.e., $\sin (x)/x$) converges to $1$, not $0$ (by l'Hospital's Theorem), thus continuity of the logarithm makes your solution valid.

Feb 28, 2020 · Is the logarithm twice differentiable? Ask Question Asked 5 years, 11 months ago Modified 5 years, 11 months ago

Aug 15, 2017 · The logarithm is used for the "logarithmic derivative" trick, which turns products into sums. This is useful because the functions to optimize are often products, often with exponentials, …

My ultimate goal is to come up with a new lower bound on some logarithm-related function, and I'd like to apply the intuition behind the standard logarithm lower-bound to my setting.

Aug 2, 2015 · A long time ago, in the last century, I had an early calculator with no log function. To do a log, I would hit the square root button ten times, subtract $1$, and multiply by $1,024$. The answer …

Nov 5, 2016 · Logarithm of the determinant of a positive definite matrix Ask Question Asked 9 years, 3 months ago Modified 9 years, 3 months ago