About a year ago, I was reading the Go source for computing
$\log(x)$ and was very surprised by the
implementation.^{1}

Even three years into a PhD in Applied Math (i.e. numerics), I still managed to learn something by diving in and trying …

About a year ago, I was reading the Go source for computing
$\log(x)$ and was very surprised by the
implementation.^{1}

Even three years into a PhD in Applied Math (i.e. numerics), I still managed to learn something by diving in and trying …

Finding zeros of any old function is a common task, and using Newton's method is one of the best tools for carrying out this task. I've even written an old post that used this method.

However, Newton's method loses some of it's luster around repeated roots. Consider the iteration

${\mathrm{x\; \dots}}_{}$

While watching today's Seahawks-Vikings game, my wife asked:

How did the Seahawks score 9 points? Did they get a field goal and miss an extra point after a touchdown?

I had been head down coding and didn't know the answer. I quickly jotted down the possibilities (like solving the coin-change …

In a previous post I discussed a recent brain teaser I had come across:

Find a

10-digit number, where each digit represents the number of that ordinal number in the whole number. So, thefirst digit represents the number of 0'sin the whole 10 digits. The second digit represents …