Ah, yes. I already modified my post because I forgot to add them. Of course you don't have to apologise.

But it is a bit confusing if you mean modern composers influenced by the delopment of jazz, like Kapustin or something.
But I do think that it is important to know for someone comming from the classical world how 'jazz works'. I mean, have you ever looked at a real book or fake book? Those books have everything a jazz performer needs to know to perform a 'tune'. Of course there are many different kinds of jazz that all have different rules buy when I kind of jazz I think of the more bebop like music. A trio of a rhythm section, drums and bass, and a solist. Sometimes a pianist can be added but he is unnecessary, at least for the very good solists.
What happens is that they play through the chord progression once in a normal way. Of course the original chord progression can be modified and the melody can be changed. Often there is not one 'original' but many. The bass player makes sure he hits the roots of the chords on the right beat, then he plays those notes needed to support the solist even further. The drum player makes sure the piece gets a swing drive. The solist needs to do most of the work. The first time through he often plays the original melody, often changed,augmented, ornamented, etc.
Jazz pieces are often many ii-V7-I progressions in different keys linked to each other. The solist plays endless flurries of notes, his solo, the second time through. The key here is that he has to imply the chords, the chord progression and the modulations, or changes(, the places where he changes to a different scale). He has to do this very fluedly. He will use all 12 notes but he will put the chord notes on the important beats.
This is why a good player should not need a pianist. The solist can imply all the chords and thus imply the harmony through his 'flurry of notes'.
I guess this will be a bit hard to understand.