umbral

Look at the umbral velocity - only the bottom of the parabola is obtainable by even a Concorde.

The naming is fantastic, I mean, Umbral Moonshine Conjecture.

We have a more feature-complete reference implementation of Umbral called pyUmbral you may want to look into[0].

Now, with the rigorous backing, the results stand alone - as the umbral transformations have been proven to be rigorously valid.

In fact I remember Francisco Umbral being asked about it, how he could write something everyday for the newspaper.

As a matter of fact, the feeling of witchcraft that has hovered over umbral calculus is probably what kept it from dying altogether.

Without the rigorous backing, Umbral calculus was used for research and exploration but then additionally work had to be done to prove the results.

I'm also rooting for something interesting emerging unexpectedly from Umbral Moonshine, because who can't help but love the Monster Group?

You can read about how it works in our Umbral blog post[0].

It reminds me of umbral calculus, another place where identities we’re used to from single variable calc apply correctly in other surprising places.

It's like saying speculating on py-umbral (a standalone open source project) because we use it to build NuCypher (a blockchain-dependent open source project).

It wouldn't cast an umbral shadow at all.

Reminds me a lot of the "umbral calculus" for computing combinatorial identities.

You end up with what the values should be, but the clever part was using "umbral evaluation" on the polynomial, and not just simple substitution.

There might be a connection to "umbral calculus" (something i know nothing about fwiw) though in the way you use the formal computations of derivatives for identities on polynomial equations, even without there being any differentials actually involved.

Umbral is a split-key version of PRE, which splits the re-encryption key into many shares.