Sedenion

I read of ever more casualties of a mob that tolerates no differences of opinion. Be slow to speak and slow to anger, yet do not surrender ...

As was the man of dust, so also are those who are of the dust, and as is the man of heaven, so also are those who are of heaven. Just as we ...

Red tape can get blood on your hands.

I was asked to explore a certain rabbit hole last month. I quickly found a route around instead of through the hole. But first, I had fun de...

What I taught Calculus III students is more useful than I knew. (Photo credit: Ryan)

I had no idea how far the north magnetic pole had drifted in my lifetime. It's now in the eastern hemisphere.

Yep. Spirals and analysis for me.

Tricks of the trade.

This semester teaching topology, I told the students that my "no holes" informal interpretation of compactness can be formalized...

It seems timely to post a link to Noether's Theorem .

This semester teaching undergraduate linear algebra, I defined a pivot of a matrix as: a one with nothing but zeros to the left, nothing...

Some implications of Haag's Theorem.

Linear logic, differentiable programming, and deep learning .

An amateur found a satellite NASA lost a dozen years ago.

Reading ( arXiv:1208.0928 ) about quantum error correction, I was very confused for a while when the paper described a tensor product of...

Following up on this post , more ugly hacks to fight Spectre and Meltdown.

Pruning.

You know a new class of vulnerabilities is really bad when the LLVM compiler is desperately resorting to this ugly hack .

Neural net feature visualization by optimization.

Preach it, brother!

Mere existence of God is a powerful axiom but actually relatively weak in its logical consequences, much like the existence of an inaccessib...

Spontaneous symmetry breaking is much easier to wrap my mind around using a Newtonian example.

Regarding the Nashville statement , anthropology:chastity::keep:castle. It's good but insufficient to fortify the keep. Two of the castl...

On a randomized control trial at CUNY on replacing remedial college algebra with introductory college statistics: [T]here is a significant...

Replace the federal income tax deduction of state income taxes with block grants for states with below-average per capita income. Such ...

I've long been a fan of Scott Sumner's views on monetary policy. I recently commented on Arnold Kling's blog in defense of Sum...

News of MIT's NAT saddens me. I remember when the names iteration.mit.edu and recursion.mit.edu were mine; they pointed to my public...

I've decided that if I state, say, Theorem 2.2.15 but don't prove it until many pages and lemmas later in Section 5, then, for the r...

I think I need a red ink pad and stamp with " AlgebraRules.com " on it.

"I always say that politics takes 30 points of[f] a person’s IQ, including me."