adjoint

Monads are generally the composite of a left adjoint functor followed by its right adjoint.

Most biostatistics professors are either math or stat major, and many of them are adjoint professors in biomedical departments.

Do you mean you think they are adjoint functors?

For example, how are split(' ') and join(' ') supposed to be adjoint functors when they're not even functors?

Conversly attaching structure or properties are (not nescessarily unique) adjoint functors to those forgetful ones.

At some point someone will realise that backpropagation and adjoint solves are the same thing.

In the simple case with the L^2 norm, we know that the adjoint has units of L(K/s,m^2/s).

L'officier traitant de Villiers était le colonel de Lignières, adjoint au service Action.

They are not adjoint, even after fixing the monoids to make them homomorphisms!

Want to talk about self-adjoint algebras of compactly supported continuous functions?

In particular, there is a lot that can be said about such systems (formally defined by a self-adjoint operator on a Hilbert space) beyond simply simulating them.

This matrix can be generalized to the continuous case with a self-adjoint operator but I suppose you get size restrictions to reproduce precisely a complicated operator.

Or better yet, one could probably "primal-adjoint" this and just solve at once for physical parameters and noise model, too.

I agree with the op that they still "feel" adjoint and may have a better reading there with a little generalization.

(I have a long-term project to understand one of the basic things in category theory, "adjoint functors." I can read the definition just fine.

To me the more important thing was this slow gnawing in my gut, seeing hints of natural transformations and adjoint functors here and there and thinking, "Oh come on, there has to be a way to connect these dots." Non-functional languages like Ruby don't think in this way, so there are hole all over the language.

Adjoint functor pairs often consist of a free and a forgetful functor.