Jacobian conjecture

was it Claude? Oh, sorry.

No, it was Claude Fable, the Jacobian conjecture.

No, okay,

right.

Whereas derivative innovation, it takes existing knowledge, it builds upon it, combines it, and improves that knowledge.

A really good example of AI being used for derivative innovation is the disproof of the Jacobian conjecture.

Here is an ultra-simplified version of the Jacobian conjecture.

Imagine that this sheet of paper is information.

you can transform this sheet of paper by folding it or crumpling it or stretching it or whatever.

Likewise, mathematical functions can be used to transform information in countless ways.

The Jacobian conjecture basically says, As long as the transformation does not lose information, that bits and pieces of paper isn't lost in the folding, there is always a way to restore that information back to its original state.

That sounds pretty intuitive, doesn't it? So this year, Claude Fabel, working under the supervision of a mathematician, was tasked with trying to disprove this conjecture.