logarithms

Basically: the mean value of the logarithms is not the logarithm of the mean value.

Wouldn't the arithmetic mean of the logarithms be the logarithm of the geometric mean?

For example, Pi behaves like a logarithm, so linear combinations of Pi and (poly)logarithms tend to pop up, while Pi^2 tends to occur in combination with the product of two logarithms.

And the reason, as far as I can tell, is because the curriculum is sometimes using logarithms and decimal-shift operations to teach multiplication and division.

However, discrete logarithms on this second curve are very easy to compute: s = (Q_x P_y) / (P_x Q_y) mod p.

The part that he was proudest of was the subroutine for computing logarithms.

I can see someone just learning about logarithms being confused about where the + and * go.

The flip side is that I'm sitting here wishing I knew how to work logarithms properly.

This helps, because I don't need to re-invent logarithms and e to study animal population growth.

How do you use an SAT score to diagnose and then help Johnny with his conceptual misunderstanding of the relationship between exponents and logarithms?

They solved a lot of questions with half dozen of uneven logarithms, but they had no idea when they met one in a real life.

Hey I love (and defend) crypto but ultimately it relies on (sometimes standard) assumptions like the one-way hardness of discrete logarithms.

Another interesting way to consider this stuff is in terms of the "logarithms" and "exponentiation" of Markov matrices.

I've watched over his shoulder as he gets to 8192 in a game of 2048 (original rules, no "undo".) He understands exponents and logarithms.

"Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer." 1994.

"incommensurable" is apparently being used in the sense that their logarithms are not in rational ratios (so no common step size generates them all in the relevant way).

Logarithms as practiced on the slide rule.