non-commutative

Non-abelian just in general means non-commutative, which just means that it's different if you do things in a different order.

A nonabelian anyion is one for which the exchange is non-commutative.

Floating point multiplication is indeed non-commutative as well, but that has to do with NaN handling, not imprecision.

In particular, it's easy to define a reverse monoid for any (non-commutative) monoid such that append becomes prepend.

That's because having + perform a non-commutative operation like string concatenation is an abomination.

Effectively, with non-commutative updates, you need greater isolation than is provided by the algorithm in the post (which effectively provides Read Committed isolation).

Even if you used method names to do this, you'd still have to deal with the fact that the operation being performed is non-commutative.

It could be non-commutative, which is how the professor set it up.

Quaternions are useful for modeling rotations, which become non-commutative in 3+ dimensions.

The non-commutative interpretation requires that you also flip the green card.

Computers are inherently imprecise in many situations, leading to non-commutative multiplication.

- Empathy is not applying someones situation to yourself, but instead applying yourself to someones situation (This is non-commutative).