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 …

I was recently catching up on articles and videos I'd been putting off and came across a great quote from Elon Musk:

A well thought out critique ... is as valuable as gold. And you should seek that from everyone you can, but particularly your friends ... It doesn't mean your friends …