Demo note. This note demonstrates what the SciDraft Hugo theme can do for academic and scientific publishing — for research institutions, researchers and students. Its content is demonstration material only: readers should ignore whether the demo content is correct. The exponential form of a language model’s output is not a design choice made for convenience; it is forced by an optimisation over distributions. Maximise entropy subject to matching a set of expected features, and the solution is always of the form \(\exp(\theta^{\top} f(x))\), normalised. ...